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Calculus and Above

Calculus Questions? Ask a Mathematician for Answers ASAP

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5/23/2017

Math-John, PhD in Statistics

Category: Calculus and Above

Satisfied Customers: 1,322

Experience: MS and BS in Math

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Hi, welcome. Can you post your questions here?

Math-John, PhD in Statistics

Category: Calculus and Above

Satisfied Customers: 1,322

Experience: MS and BS in Math

Verified

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Customer reply replied 4 years ago

A firm uses trend projection and seasonal factors to simulate sales for a given time period. It assigns "0" if sales fall, "1" if sales are steady, "2" if sales rise moderately, and "3" if sales rise a lot. The simulator generates the following output.0 1 0 2 2 0 0 1 2 3 2 0 2 0 2 2 1 2 3 1 2 2 2 0 3 0 0 2 1 2 1Estimate the probability that sales will rise moderately.

13/31 = 0.4194.

Customer reply replied 4 years ago

Alright here are the other problems. I was still figuring this out but I think I know how it works now. I will give you a better tip if you can solve all these for me. Thank you so much14.

A card is drawn from a well-shuffled deck of 52 cards. Find P(drawing a face card or a 4). A face card is a king, queen, or jack.

4/13

12/13

16

2/1315.

Evaluate the expression: 10P5

252

30,240

5

216.

A coin is flipped 8 times. Determine the probability that at least one heads appears face up.

255/256

1/256

15/16

7/817.

Find the indicated probability.

A sample of 4 different calculators is randomly selected from a group containing 46 that are defective and 26 that have no defects. What is the probability that all four of the calculators selected are defective? Round to four decimal places.

0.1021

0.1666

0.1586

10.915419.

What is the probability that a card randomly drawn from a standard deck of 52 cards is NOT a king?

51/52

12/13

1/2

1/1320.

A bottling company marks a 0 for every bottle that comes out correct and a 1 for every defective bottle. Estimate the probability that the next bottle is defective.

0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0

0/20

18/20

1/20

19/2021.

Solve the problem.

The library is to be given 3 books as a gift. The books will be selected from a list of 16 titles. If each book selected must have a different title, how many possible selections are there?

4096###-##-####

22.

If you pick a card at random from a well shuffled deck, what is the probability that you get a spade or a king?

13/52

9/52

1/13

4/1323.

One hundred employees of a company are asked how they get to work and whether they work full time or part time. The table below shows the results. If one of the 100 employees is randomly selected, find the probability of getting someone who carpools, someone who bicycles to work, or someone who works part time.

Public Transportation: full time-9, part time-6

Bicycle: full time-4, part time-4

Drive alone: full time-35, part time-30

Carpool: full time-6, part time-6

0.56

0.66

0.46

0.224.

A coin is flipped 3 times and the number of times heads appears is recorded. How many different outcomes can occur?

2

4

8

125.

Solve the problem.

There are 8 members on a board of directors. If they must form a subcommittee of 6 members, how many different subcommittees are possible?

720

20,160

28

262,14426.

Find the indicated probability.

A bin contains 78 light bulbs of which 9 are defective. If 3 light bulbs are randomly selected from the bin with replacement, find the probability that all the bulbs selected are good ones. Round to the nearest thousandth if necessary.

0.002

0.885

0.692

0.72127.

Which is a compound event?

Heads lands 0 times in 1 coin flip.

Heads lands 3 times and tails lands 5 times in 8 coin flips.

Heads or tails lands 1 time in 1 coin flip.

Heads lands 3 times in 8 coin flips.28.

Event A has a 0.3 probability of occuring and event B has a 0.4 probability of occuring. A and B are independent events. What is the probability that either A or B occurs?

Solve the problem.

0.54

0.12

0.42

0.7029.

Swinging Sammy Skor's batting prowess was simulated to get an estimate of the probability that Sammy will get a hit. Let 1 = HIT and 0 = OUT. The output from the simulation was as follows.

1 0 0 0 0 0 0 1 0 0 1 0 1 0 0 0 0 1 0 1 1 0 0 0 0 1 0 0 0 1 1 0 1 0 0 0 0 0 1 0 0 1

Estimate the probability that Sammy gets a hit.

0.301

0.286

0.333

0.31030.

Event A has a 0.3 probability of occuring and event B has a 0.4 probability of occuring. A and B are independent events. What is the probability that neither A or B occurs?

0.12

0.70

0.42

0.10

A card is drawn from a well-shuffled deck of 52 cards. Find P(drawing a face card or a 4). A face card is a king, queen, or jack.

4/13

12/13

16

2/1315.

Evaluate the expression: 10P5

252

30,240

5

216.

A coin is flipped 8 times. Determine the probability that at least one heads appears face up.

255/256

1/256

15/16

7/817.

Find the indicated probability.

A sample of 4 different calculators is randomly selected from a group containing 46 that are defective and 26 that have no defects. What is the probability that all four of the calculators selected are defective? Round to four decimal places.

0.1021

0.1666

0.1586

10.915419.

What is the probability that a card randomly drawn from a standard deck of 52 cards is NOT a king?

51/52

12/13

1/2

1/1320.

A bottling company marks a 0 for every bottle that comes out correct and a 1 for every defective bottle. Estimate the probability that the next bottle is defective.

0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0

0/20

18/20

1/20

19/2021.

Solve the problem.

The library is to be given 3 books as a gift. The books will be selected from a list of 16 titles. If each book selected must have a different title, how many possible selections are there?

4096###-##-####

22.

If you pick a card at random from a well shuffled deck, what is the probability that you get a spade or a king?

13/52

9/52

1/13

4/1323.

One hundred employees of a company are asked how they get to work and whether they work full time or part time. The table below shows the results. If one of the 100 employees is randomly selected, find the probability of getting someone who carpools, someone who bicycles to work, or someone who works part time.

Public Transportation: full time-9, part time-6

Bicycle: full time-4, part time-4

Drive alone: full time-35, part time-30

Carpool: full time-6, part time-6

0.56

0.66

0.46

0.224.

A coin is flipped 3 times and the number of times heads appears is recorded. How many different outcomes can occur?

2

4

8

125.

Solve the problem.

There are 8 members on a board of directors. If they must form a subcommittee of 6 members, how many different subcommittees are possible?

720

20,160

28

262,14426.

Find the indicated probability.

A bin contains 78 light bulbs of which 9 are defective. If 3 light bulbs are randomly selected from the bin with replacement, find the probability that all the bulbs selected are good ones. Round to the nearest thousandth if necessary.

0.002

0.885

0.692

0.72127.

Which is a compound event?

Heads lands 0 times in 1 coin flip.

Heads lands 3 times and tails lands 5 times in 8 coin flips.

Heads or tails lands 1 time in 1 coin flip.

Heads lands 3 times in 8 coin flips.28.

Event A has a 0.3 probability of occuring and event B has a 0.4 probability of occuring. A and B are independent events. What is the probability that either A or B occurs?

Solve the problem.

0.54

0.12

0.42

0.7029.

Swinging Sammy Skor's batting prowess was simulated to get an estimate of the probability that Sammy will get a hit. Let 1 = HIT and 0 = OUT. The output from the simulation was as follows.

1 0 0 0 0 0 0 1 0 0 1 0 1 0 0 0 0 1 0 1 1 0 0 0 0 1 0 0 0 1 1 0 1 0 0 0 0 0 1 0 0 1

Estimate the probability that Sammy gets a hit.

0.301

0.286

0.333

0.31030.

Event A has a 0.3 probability of occuring and event B has a 0.4 probability of occuring. A and B are independent events. What is the probability that neither A or B occurs?

0.12

0.70

0.42

0.10

I am working on these questions now and will post the answer shortly.

Customer reply replied 4 years ago

Thank you so much

You are welcome.

14. 4/13.

15. 30,240

16. 255/256

17. 0.1586

19. 12/13

20. 1/20

21. 560

22. 4/13

23. 0.56

24. 4

25. 28

26. 0.692

27. 3rd

29. 0.301

Can you check 28 and 30? I was able to find the correct choices for these 2.

Actually the answers for 28 and 30 are 0.58 and 0.42 respectively.Please let me know if you have any questions. Thanks.John

Customer reply replied 4 years ago

Great, thank you so much for your time! I have some more problems from worksheets, would you be willing to do some of those problems as well and I can just a good tip at the end?

You are welcome. I would be happy to assist you with more questions.John

Customer reply replied 4 years ago

Alright here they are; sorry if there are any repeat questions in there, they're from the same unit.1.

A man flips a coin twice, and each time gets either heads (H) or tails (T). Create the sample space of possible outcomes.

HT TH

HH HT TH TT

HH HT TT

HH TT HT HT2.

A card is drawn from a well-shuffled deck of 52 cards. Find P(drawing a face card or a 4). A face card is a king, queen, or jack.

16

4/13

2/13

12/133.

Find the indicated probability.

The IRS has a group of 45 tax returns, 15 of which contain errors. An IRS auditor randomly selects 3 tax returns from this group. What is the probability the auditor selects none of those containing errors? Round to four decimal places.

0.2861

0.0370

0.0321

0.29634.

Solve the problem.

A firm uses trend projection and seasonal factors to simulate sales for a given time period. It assigns "0" if sales fall, "1" if sales are steady, "2" if sales rise moderately, and "3" if sales rise a lot. The simulator generates the following output.

0 1 0 2 2 0 0 1 2 0 2 0 2 0 2 2 1 2 0 1 2 2 2 0 3 0 0 2 1 2 1

Estimate the probability that sales will remain steady.

0.125

0.194

0.258

0.4125.

Find the indicated probability.

A bin contains 78 light bulbs of which 9 are defective. If 3 light bulbs are randomly selected from the bin with replacement, find the probability that all the bulbs selected are good ones. Round to the nearest thousandth if necessary.

0.002

0.692

0.721

0.8856.

Find the indicated probability. Express your answer as a simplified fraction unless otherwise noted.

The following table contains data from a study of two airlines which fly to Small Town, USA.

Podunk Airlines: flights on time-33, late flights-6

Upstate Airlines: flights on time-43, late flights-5

If one of the 87 flights is randomly selected, find the probability that the flight selected arrived on time.

33/87

11/76

43/87

76/877.

Solve the problem.

A firm uses trend projection and seasonal factors to simulate sales for a given time period. It assigns "0" if sales fall, "1" if sales are steady, "2" if sales rise moderately, and "3" if sales rise a lot. The simulator generates the following output.

0 1 0 2 2 0 0 1 2 3 2 0 2 0 2 2 1 2 3 1 2 2 2 0 3 0 0 2 1 2 1

Estimate the probability that sales will rise moderately.

0.633

0.312

0.452

0.4198.

A coin is flipped and the results recorded:

H T H H T T T H

Estimate the probability that a heads will occur on the next flip.

0.25

0.50

0.75

0.339.

Solve the problem.

A pollster wants to minimize the effect the order of the questions has on a person's response to a survey. How many different surveys are required to cover all possible arrangements if there are 6 questions on the survey?

6

720

36

12010.

Find the indicated probability. Express your answer as a simplified fraction unless otherwise noted.

The following table contains data from a study of two airlines which fly to Small Town, USA.

Podunk Airlines: flights on time-33, late flights-6

Upstate Airlines: flights on time-43, late flights-5

If one of the 87 flights is randomly selected, find the probability that the flight selected is an Upstate Airlines flight which was on time.

43/87

43/76

43/48

11/76

11.

Find the indicated probability. Round to the nearest thousandth.

An unprepared student makes random guesses for the ten true-false questions on a quiz. Find the probability that there is at least one correct answer.

0.900

0.001

0.999

0.10012.

If you pick a card at random from a well shuffled deck, what is the probability that your card is NOT a spade or a king?

9/13

4/13

42/52

9/5213.

Find the indicated probability.

The table below describes the exercise habits of a group of young adults.

Men: no exercise-356, light exercise-50, moderate exercise-36, total-442

Women: no exercise-418, light exercise-43, moderate exercise-45, total-506

Total:no exercise-774, light exercise-93, moderate exercise-81, total-948If two different people are randomly selected from the 948 subjects, find the probability that they are both moderate excercisers. Round to six decimal places.

0.007301

0.0001524

0.007218

0.00144214.

Find the indicated probability.

Refer to the table which summarizes the results of testing for a certain disease.

Subject has disease: Positive test result-120, negative test result-4

Subject doesn't have disease: positive test result-13, negative test result-172If one of the results is randomly selected, what is the probability that it is a false negative (test indicates the person does not have the disease when in fact they do)? What does this probability suggest about the accuracy of the test?

0.0421; The probability of this error is low so the test is fairly accurate.

0.0129; The probability of this error is low so the test is fairly accurate.

0.0323; The probability of this error is low so the test is fairly accurate.

0.570; The probability of this error is high so the test is not very accurate.

A man flips a coin twice, and each time gets either heads (H) or tails (T). Create the sample space of possible outcomes.

HT TH

HH HT TH TT

HH HT TT

HH TT HT HT2.

A card is drawn from a well-shuffled deck of 52 cards. Find P(drawing a face card or a 4). A face card is a king, queen, or jack.

16

4/13

2/13

12/133.

Find the indicated probability.

The IRS has a group of 45 tax returns, 15 of which contain errors. An IRS auditor randomly selects 3 tax returns from this group. What is the probability the auditor selects none of those containing errors? Round to four decimal places.

0.2861

0.0370

0.0321

0.29634.

Solve the problem.

A firm uses trend projection and seasonal factors to simulate sales for a given time period. It assigns "0" if sales fall, "1" if sales are steady, "2" if sales rise moderately, and "3" if sales rise a lot. The simulator generates the following output.

0 1 0 2 2 0 0 1 2 0 2 0 2 0 2 2 1 2 0 1 2 2 2 0 3 0 0 2 1 2 1

Estimate the probability that sales will remain steady.

0.125

0.194

0.258

0.4125.

Find the indicated probability.

A bin contains 78 light bulbs of which 9 are defective. If 3 light bulbs are randomly selected from the bin with replacement, find the probability that all the bulbs selected are good ones. Round to the nearest thousandth if necessary.

0.002

0.692

0.721

0.8856.

Find the indicated probability. Express your answer as a simplified fraction unless otherwise noted.

The following table contains data from a study of two airlines which fly to Small Town, USA.

Podunk Airlines: flights on time-33, late flights-6

Upstate Airlines: flights on time-43, late flights-5

If one of the 87 flights is randomly selected, find the probability that the flight selected arrived on time.

33/87

11/76

43/87

76/877.

Solve the problem.

A firm uses trend projection and seasonal factors to simulate sales for a given time period. It assigns "0" if sales fall, "1" if sales are steady, "2" if sales rise moderately, and "3" if sales rise a lot. The simulator generates the following output.

0 1 0 2 2 0 0 1 2 3 2 0 2 0 2 2 1 2 3 1 2 2 2 0 3 0 0 2 1 2 1

Estimate the probability that sales will rise moderately.

0.633

0.312

0.452

0.4198.

A coin is flipped and the results recorded:

H T H H T T T H

Estimate the probability that a heads will occur on the next flip.

0.25

0.50

0.75

0.339.

Solve the problem.

A pollster wants to minimize the effect the order of the questions has on a person's response to a survey. How many different surveys are required to cover all possible arrangements if there are 6 questions on the survey?

6

720

36

12010.

Find the indicated probability. Express your answer as a simplified fraction unless otherwise noted.

The following table contains data from a study of two airlines which fly to Small Town, USA.

Podunk Airlines: flights on time-33, late flights-6

Upstate Airlines: flights on time-43, late flights-5

If one of the 87 flights is randomly selected, find the probability that the flight selected is an Upstate Airlines flight which was on time.

43/87

43/76

43/48

11/76

11.

Find the indicated probability. Round to the nearest thousandth.

An unprepared student makes random guesses for the ten true-false questions on a quiz. Find the probability that there is at least one correct answer.

0.900

0.001

0.999

0.10012.

If you pick a card at random from a well shuffled deck, what is the probability that your card is NOT a spade or a king?

9/13

4/13

42/52

9/5213.

Find the indicated probability.

The table below describes the exercise habits of a group of young adults.

Men: no exercise-356, light exercise-50, moderate exercise-36, total-442

Women: no exercise-418, light exercise-43, moderate exercise-45, total-506

Total:no exercise-774, light exercise-93, moderate exercise-81, total-948If two different people are randomly selected from the 948 subjects, find the probability that they are both moderate excercisers. Round to six decimal places.

0.007301

0.0001524

0.007218

0.00144214.

Find the indicated probability.

Refer to the table which summarizes the results of testing for a certain disease.

Subject has disease: Positive test result-120, negative test result-4

Subject doesn't have disease: positive test result-13, negative test result-172If one of the results is randomly selected, what is the probability that it is a false negative (test indicates the person does not have the disease when in fact they do)? What does this probability suggest about the accuracy of the test?

0.0421; The probability of this error is low so the test is fairly accurate.

0.0129; The probability of this error is low so the test is fairly accurate.

0.0323; The probability of this error is low so the test is fairly accurate.

0.570; The probability of this error is high so the test is not very accurate.

Customer reply replied 4 years ago

15.

Find the indicated probability.

The table below describes the exercise habits of a group of young adults.

Men: no exercise-356, light exercise-50, moderate exercise-36, total-442

Women: no exercise-418, light exercise-43, moderate exercise-45, total-506

Total:no exercise-774, light exercise-93, moderate exercise-81, total-948

If two different people are randomly selected from the 884 subjects, find the probability that they are both women. Round to four decimal places.

0.2500

0.3274

0.000003906

0.327616.

A spinner has equal regions numbered 1 through 21. What is the probability that the spinner will stop on an even number or a multiple of 3?

2/3

17

1/3

10/917.

Fred and Ed each have a bag of candy that contains a lemon drop (L), a cherry drop (C), and an orange drop (O). Each takes out one piece from their bag and eats it. What is the sample space of the possible pairs of candies eaten?

LL CL OO LC CC LO OC CO OL

LC LC LC LO LO LO CO CO CO

LL CL OO LO CC LO OC CL OL

CL LO OC OO LL18.

Solve the problem.

The organizer of a television show must select 5 people to participate in the show. The participants will be selected from a list of 30 people who have written in to the show. If the participants are selected randomly and none of the 30 people are the same age, what is the probability that the 5 youngest people will be selected?

1/142,506

1/17,100,720

4/15

1/12019.

Each day a cashier counts the number of pennies left in the "take a penny, leave a penny" dish. Estimate the probability that there are fewer than 4 pennies on any given day.

1 3 5 17 4 9 1 9 2 8 20

4/11

3/11

11/7

7/1120.

Evaluate the expression.

10P5

252

5

30,240

221.

Find the indicated probability. Round to the nearest thousandth.

A sample of 4 different calculators is randomly selected from a group containing 16 that are defective and 30 that have no defects. What is the probability that at least one of the calculators is defective?

0.819

0.168

0.160

0.83222.

One hundred employees of a company are asked how they get to work and whether they work full time or part time. The table below shows the results. If one of the 100 employees is randomly selected, find the probability of getting someone who carpools or someone who works full time.Full time Part time

Public Transportation 7 10

Bicycle*****alone 30 31

Carpool 6 9

0.56

0.53

0.25

0.6223.

Find the indicated probability.

A local factory uses a manufacturing process in which 70% of the final products meet quality standards and 30% are found to be defective. If three of the products are randomly selected, find the probability that all of them are acceptable.

0.027

2.1

0.343

0.42924.

Solve the problem.

A musician plans to perform 5 selections. In how many ways can the musician arrange the musical selections?

120

5

25

72025.

Express the indicated degree of likelihood as a probability value.

"There is a 40% chance of rain tomorrow."

4

0.40

40

0.6026.

What is the probability that a card randomly drawn from a standard deck of 52 cards is NOT a king?

51/52

12/13

1/13

1/227.

Solve the problem.

The library is to be given 3 books as a gift. The books will be selected from a list of 16 titles. If each book selected must have a different title, how many possible selections are there?

4096

3360

48

56028.

A company that produces light bulbs records a 1 if a light bulb is defective and a 0 if the lightbulb meets quality standards. Estimate the probability that the next bulb produced will be defective.

0 0 0 0 0 0 0 0 0 0 0

1

10/11

0

9/1129.

The manager of a bank recorded the amount of time each customer spent waiting in line during one business hour on a Monday. The frequency table below summarizes the results.

Waiting Times(minutes) Number of Customers

0-3 11

4-7 9

8-11 11

12-15 5

16-19 5

20-23 1

24-27 3

If we randomly select one of the customers represented in the table, what is the probability that the waiting time is at least 12 minutes or between 8 and 15 minutes? Round to the nearest thousandth.

0.556

0.667

0.111

0.72730.

Event A has a 0.3 probability of occuring and event B has a 0.4 probability of occuring. A and B are independent events. What is the probability that either A or B occurs?

0.70

0.54

0.42

0.12

Okay thats the last of that one. thank you

Find the indicated probability.

The table below describes the exercise habits of a group of young adults.

Men: no exercise-356, light exercise-50, moderate exercise-36, total-442

Women: no exercise-418, light exercise-43, moderate exercise-45, total-506

Total:no exercise-774, light exercise-93, moderate exercise-81, total-948

If two different people are randomly selected from the 884 subjects, find the probability that they are both women. Round to four decimal places.

0.2500

0.3274

0.000003906

0.327616.

A spinner has equal regions numbered 1 through 21. What is the probability that the spinner will stop on an even number or a multiple of 3?

2/3

17

1/3

10/917.

Fred and Ed each have a bag of candy that contains a lemon drop (L), a cherry drop (C), and an orange drop (O). Each takes out one piece from their bag and eats it. What is the sample space of the possible pairs of candies eaten?

LL CL OO LC CC LO OC CO OL

LC LC LC LO LO LO CO CO CO

LL CL OO LO CC LO OC CL OL

CL LO OC OO LL18.

Solve the problem.

The organizer of a television show must select 5 people to participate in the show. The participants will be selected from a list of 30 people who have written in to the show. If the participants are selected randomly and none of the 30 people are the same age, what is the probability that the 5 youngest people will be selected?

1/142,506

1/17,100,720

4/15

1/12019.

Each day a cashier counts the number of pennies left in the "take a penny, leave a penny" dish. Estimate the probability that there are fewer than 4 pennies on any given day.

1 3 5 17 4 9 1 9 2 8 20

4/11

3/11

11/7

7/1120.

Evaluate the expression.

10P5

252

5

30,240

221.

Find the indicated probability. Round to the nearest thousandth.

A sample of 4 different calculators is randomly selected from a group containing 16 that are defective and 30 that have no defects. What is the probability that at least one of the calculators is defective?

0.819

0.168

0.160

0.83222.

One hundred employees of a company are asked how they get to work and whether they work full time or part time. The table below shows the results. If one of the 100 employees is randomly selected, find the probability of getting someone who carpools or someone who works full time.Full time Part time

Public Transportation 7 10

Bicycle*****alone 30 31

Carpool 6 9

0.56

0.53

0.25

0.6223.

Find the indicated probability.

A local factory uses a manufacturing process in which 70% of the final products meet quality standards and 30% are found to be defective. If three of the products are randomly selected, find the probability that all of them are acceptable.

0.027

2.1

0.343

0.42924.

Solve the problem.

A musician plans to perform 5 selections. In how many ways can the musician arrange the musical selections?

120

5

25

72025.

Express the indicated degree of likelihood as a probability value.

"There is a 40% chance of rain tomorrow."

4

0.40

40

0.6026.

What is the probability that a card randomly drawn from a standard deck of 52 cards is NOT a king?

51/52

12/13

1/13

1/227.

Solve the problem.

The library is to be given 3 books as a gift. The books will be selected from a list of 16 titles. If each book selected must have a different title, how many possible selections are there?

4096

3360

48

56028.

A company that produces light bulbs records a 1 if a light bulb is defective and a 0 if the lightbulb meets quality standards. Estimate the probability that the next bulb produced will be defective.

0 0 0 0 0 0 0 0 0 0 0

1

10/11

0

9/1129.

The manager of a bank recorded the amount of time each customer spent waiting in line during one business hour on a Monday. The frequency table below summarizes the results.

Waiting Times(minutes) Number of Customers

0-3 11

4-7 9

8-11 11

12-15 5

16-19 5

20-23 1

24-27 3

If we randomly select one of the customers represented in the table, what is the probability that the waiting time is at least 12 minutes or between 8 and 15 minutes? Round to the nearest thousandth.

0.556

0.667

0.111

0.72730.

Event A has a 0.3 probability of occuring and event B has a 0.4 probability of occuring. A and B are independent events. What is the probability that either A or B occurs?

0.70

0.54

0.42

0.12

Okay thats the last of that one. thank you

Customer reply replied 4 years ago

Hey just want to make sure you got these? No problem if youre working on something else right now, as long as you got them

Got the questions. I will work on them and post the answer shortly.

The answers are given below. Please let me know if you have any questions. Thanks.

1.

A man flips a coin twice, and each time gets either heads (H) or tails (T). Create the sample space of possible outcomes.

HT TH**HH HT TH TT**

HH HT TT

HH TT HT HT

2.

A card is drawn from a well-shuffled deck of 52 cards. Find P(drawing a face card or a 4). A face card is a king, queen, or jack.

16**4/13**

2/13

12/13

3.

Find the indicated probability.

The IRS has a group of 45 tax returns, 15 of which contain errors. An IRS auditor randomly selects 3 tax returns from this group. What is the probability the auditor selects none of those containing errors? Round to four decimal places.**0.2861**

0.0370

0.0321

0.2963

4.

Solve the problem.

A firm uses trend projection and seasonal factors to simulate sales for a given time period. It assigns "0" if sales fall, "1" if sales are steady, "2" if sales rise moderately, and "3" if sales rise a lot. The simulator generates the following output.

0 1 0 2 2 0 0 1 2 0 2 0 2 0 2 2 1 2 0 1 2 2 2 0 3 0 0 2 1 2 1

Estimate the probability that sales will remain steady.

0.125**0.194**

0.258

0.412

5.

Find the indicated probability.

A bin contains 78 light bulbs of which 9 are defective. If 3 light bulbs are randomly selected from the bin with replacement, find the probability that all the bulbs selected are good ones. Round to the nearest thousandth if necessary.

0.002**0.692**

0.721

0.885

6.

Find the indicated probability. Express your answer as a simplified fraction unless otherwise noted.

The following table contains data from a study of two airlines which fly to Small Town, USA.

Podunk Airlines: flights on time-33, late flights-6

Upstate Airlines: flights on time-43, late flights-5

If one of the 87 flights is randomly selected, find the probability that the flight selected arrived on time.

33/87

11/76

43/87**76/87**

7.

Solve the problem.

A firm uses trend projection and seasonal factors to simulate sales for a given time period. It assigns "0" if sales fall, "1" if sales are steady, "2" if sales rise moderately, and "3" if sales rise a lot. The simulator generates the following output.

0 1 0 2 2 0 0 1 2 3 2 0 2 0 2 2 1 2 3 1 2 2 2 0 3 0 0 2 1 2 1

Estimate the probability that sales will rise moderately.

0.633

0.312

0.452**0.419**

8.

A coin is flipped and the results recorded:

H T H H T T T H

Estimate the probability that a heads will occur on the next flip.

0.25**0.50**

0.75

0.33

9.

Solve the problem.

A pollster wants to minimize the effect the order of the questions has on a person's response to a survey. How many different surveys are required to cover all possible arrangements if there are 6 questions on the survey?

6**720**

36

120

10.

Find the indicated probability. Express your answer as a simplified fraction unless otherwise noted.

The following table contains data from a study of two airlines which fly to Small Town, USA.

Podunk Airlines: flights on time-33, late flights-6

Upstate Airlines: flights on time-43, late flights-5

If one of the 87 flights is randomly selected, find the probability that the flight selected is an Upstate Airlines flight which was on time.**43/87**

43/76

43/48

11/76

11.

Find the indicated probability. Round to the nearest thousandth.

An unprepared student makes random guesses for the ten true-false questions on a quiz. Find the probability that there is at least one correct answer.

0.900

0.001**0.999**

0.100

12.

If you pick a card at random from a well shuffled deck, what is the probability that your card is NOT a spade or a king?**9/13**1- 0

4/13

42/52

9/52

13.

Find the indicated probability.

The table below describes the exercise habits of a group of young adults.

Men: no exercise-356, light exercise-50, moderate exercise-36, total-442

Women: no exercise-418, light exercise-43, moderate exercise-45, total-506

Total:no exercise-774, light exercise-93, moderate exercise-81, total-948If two different people are randomly selected from the 948 subjects, find the probability that they are both moderate excercisers. Round to six decimal places.**0.007301**

0.0001524

0.007218

0.001442

14.

Find the indicated probability.

Refer to the table which summarizes the results of testing for a certain disease.

Subject has disease: Positive test result-120, negative test result-4

Subject doesn't have disease: positive test result-13, negative test result-172If one of the results is randomly selected, what is the probability that it is a false negative (test indicates the person does not have the disease when in fact they do)? What does this probability suggest about the accuracy of the test?

0.0421; The probability of this error is low so the test is fairly accurate.

0.0129; The probability of this error is low so the test is fairly accurate.

0.0323; The probability of this error is low so the test is fairly accurate.

0.570; The probability of this error is high so the test is not very accurate.

**Should be 0.0227; The probability of this error is low so the test is fairly accurate.**

15.

Find the indicated probability.

The table below describes the exercise habits of a group of young adults.

Men: no exercise-356, light exercise-50, moderate exercise-36, total-442

Women: no exercise-418, light exercise-43, moderate exercise-45, total-506

Total:no exercise-774, light exercise-93, moderate exercise-81, total-948

If two different people are randomly selected from the 884 subjects, find the probability that they are both women. Round to four decimal places.**0.2500**

0.3274

0.000003906

0.3276

16.

A spinner has equal regions numbered 1 through 21. What is the probability that the spinner will stop on an even number or a multiple of 3?**2/3**

17

1/3

10/9

17.

Fred and Ed each have a bag of candy that contains a lemon drop (L), a cherry drop (C), and an orange drop (O). Each takes out one piece from their bag and eats it. What is the sample space of the possible pairs of candies eaten?**LL CL OO LC CC LO OC CO OL**

LC LC LC LO LO LO CO CO CO

LL CL OO LO CC LO OC CL OL

CL LO OC OO LL

18.

Solve the problem.

The organizer of a television show must select 5 people to participate in the show. The participants will be selected from a list of 30 people who have written in to the show. If the participants are selected randomly and none of the 30 people are the same age, what is the probability that the 5 youngest people will be selected?**1/142,506**

1/17,100,720

4/15

1/120

19.

Each day a cashier counts the number of pennies left in the "take a penny, leave a penny" dish. Estimate the probability that there are fewer than 4 pennies on any given day.

1 3 5 17 4 9 1 9 2 8 20**4/11**

3/11

11/7

7/11

20.

Evaluate the expression.

10P5

252

5**30,240**

2

21.

Find the indicated probability. Round to the nearest thousandth.

A sample of 4 different calculators is randomly selected from a group containing 16 that are defective and 30 that have no defects. What is the probability that at least one of the calculators is defective?

0.819

0.168

0.160**0.832**

22.

One hundred employees of a company are asked how they get to work and whether they work full time or part time. The table below shows the results. If one of the 100 employees is randomly selected, find the probability of getting someone who carpools or someone who works full time.

Full time Part time

Public Transportation 7 10

Bicycle 4 3

Drive alone 30 31

Carpool 6 9**0.56**

0.53

0.25

0.62

23.

Find the indicated probability.

A local factory uses a manufacturing process in which 70% of the final products meet quality standards and 30% are found to be defective. If three of the products are randomly selected, find the probability that all of them are acceptable.

0.027

2.1**0.343**

0.429

24.

Solve the problem.

A musician plans to perform 5 selections. In how many ways can the musician arrange the musical selections?**120**

5

25

720

25.

Express the indicated degree of likelihood as a probability value.

"There is a 40% chance of rain tomorrow."

4**0.40**

40

0.60

26.

What is the probability that a card randomly drawn from a standard deck of 52 cards is NOT a king?

51/52**12/13**

1/13

1/2

27.

Solve the problem.

The library is to be given 3 books as a gift. The books will be selected from a list of 16 titles. If each book selected must have a different title, how many possible selections are there?

4096

3360

48**560**

28.

A company that produces light bulbs records a 1 if a light bulb is defective and a 0 if the lightbulb meets quality standards. Estimate the probability that the next bulb produced will be defective.

0 0 0 0 0 0 0 0 0 0 0

1

10/11**0**

9/11

29.

The manager of a bank recorded the amount of time each customer spent waiting in line during one business hour on a Monday. The frequency table below summarizes the results.

Waiting Times(minutes) Number of Customers

0-3 11

4-7 9

8-11 11

12-15 5

16-19 5

20-23 1

24-27 3

If we randomly select one of the customers represented in the table, what is the probability that the waiting time is at least 12 minutes or between 8 and 15 minutes? Round to the nearest thousandth.**0.556**

0.667

0.111

0.727

30.

Event A has a 0.3 probability of occuring and event B has a 0.4 probability of occuring. A and B are independent events. What is the probability that either A or B occurs?

0.70

0.54

0.42

0.12

**0.58**

** **

** **

Customer reply replied 4 years ago

Great, thank you so muchOkay so here is my situation, I'm doing online school and I need to finish all my math by tomorrow. I have to take a pretest before every unit and if I get a good enough scoreI test out of having to do the unit. Now I have 2 units and the Review test left, I'll send you the problems from the first one now and then the second one after. I'll get you a really big tip if you can help me finish the class quickly. Thank you so much for your time

No problem. Please send me everything and I will finish them ASAP.

Customer reply replied 4 years ago

Heres the first one

1.

Solve the problem.

A bank's loan officer rates applicants for credit. The ratings are normally distributed with a mean of 200 and a standard deviation of 50. If 40 different applicants are randomly selected, find the probability that their mean is above 215.

0.0287

0.1179

0.3821

0.47132.

Select the correct response.

Which biased estimator will have a reduced bias based on an increased sample size?

median

standard deviation

range

mean4.

Solve the problem.

The scores on a certain test are normally distributed with a mean score of 43 and a standard deviation of 3. What is the probability that a sample of 90 students will have a mean score of at least 43.3162?

0.8413

0.1587

0.3174

0.34135.

Solve the problem.

Human body temperatures are normally distributed with a mean of 98.20°F and a standard deviation of 0.62°F. If 19 people are randomly selected, find the probability that their mean body temperature will be less than 98.50°F.

0.0833

0.9826

0.4826

0.33436.

Provide an appropriate response.

Samples of size n = 240 are randomly selected from the population of numbers (0 through 20) produced by a random-number generator, and the variance is found for each sample. What is the distribution of the sample variances?

normal (approximately)

skewed to the left

skewed to the right

not enough information provided7.

If z is a standard normal variable, find the probability.

The probability that z is greater than –1.82

0.4656

0.0344

–0.0344

0.96568.

Choose the correct response.

Why are unbiased estimators preferred over biased estimators?

Unbiased estimators retain the original distribution of the sample, where as biased estimators follow a normal distribution.

Unbiased estimators follow the normal distribution, where as biased estimators follow the original distribution.

Unbiased estimators behave with reliable results, where as biased estimators are inconsistent.

Unbiased estimators require a greater sample size which gives greater accuracy over biased estimators.9.

Solve the problem. Round to the nearest tenth unless indicated otherwise.

In one region, the September energy consumption levels for single-family homes are found to be normally distributed with a mean of 1050 kWh and a standard deviation of 218 kWh. Find P45, which is the consumption level separating the bottom 45% from the top 55%.

1078.3

1148.1

1087.8

1021.710.

The Precision Scientific Instrument Company manufactures thermometers that are supposed to give readings of 0°C at the freezing point of water. Tests on a large sample of these thermometers reveal that at the freezing point of water, some give readings below 0°C (denoted by negative numbers) and some give readings above 0°C (denoted by positive numbers). Assume that the mean reading is 0°C and the standard deviation of the readings is 1.00°C. Also assume that the frequency distribution of errors closely resembles the normal distribution. A thermometer is randomly selected and tested. Find the temperature reading corresponding to the given information.

If 6.3% of the thermometers are rejected because they have readings that are too high and another 6.3% are rejected because they have readings that are too low, find the two readings that are cutoff values separating the rejected thermometers from the others.

–1.53° , 1.53°

–1.45° , 1.45°

–1.39° , 1.39°

–1.46° , 1.46°I'll send the second half in a minute but here are these to start11.

Provide an appropriate response.

Find the indicated IQ score. The graph depicts IQ scores of adults, and those scores are normally distributed with a mean of 100 and a standard deviation of 15 (as on the Wechsler test).

The shaded area under the curve is 0.5675.

110.7

129.6

97.5

102.6

*if you cant solve this cause there is no graph dont worry about it12.

Provide an appropriate response.

Samples of size n = 15 are randomly selected from the population of numbers (0 through 9) produced by a random-number generator, and the standard deviation is found for each sample. What is the distribution of the sample standard deviations?

not enough information provided

skewed to the left

skewed to the right

normal (approximately)13.

Solve the problem.

A math teacher gives two different tests to measure students' aptitude for math. Scores on the first test are normally distributed with a mean of 23 and a standard deviation of 4.2. Scores on the second test are normally distributed with a mean of 71 and a standard deviation of 10.8. Assume that the two tests use different scales to measure the same aptitude. If a student scores 29 on the first test, what would be his equivalent score on the second test? (That is, find the score that would put him in the same percentile.)

87

77

84

8614.

Find the indicated probability.

The diameters of pencils produced by a certain machine are normally distributed with a mean of 0.30 inches and a standard deviation of 0.01 inches. What is the probability that the diameter of a randomly selected pencil will be less than 0.285 inches?

0.0668

0.9332

0.4332

0.059615.

Solve the problem.

Assume that women's heights are normally distributed with a mean of 63.6 inches and a standard deviation of 2.5 inches. If 90 women are randomly selected, find the probability that they have a mean height between 62.9 inches and 64.0 inches.

0.9318

0.1739

0.7248

0.042416.

Provide an appropriate response.

Samples of size n = 60 are randomly selected from the population of numbers (0 through 9) produced by a random-number generator, and the mean is taken for each sample. What is the distribution of the sample means?

normal (approximately)

not enough information provided

skewed to the right

skewed to the left17.

Solve the problem.

In a recent study of animal sleep times at the zoo, the mean amount of sleep per night is 6.3 hours with a standard deviation of 2.1. If 23 animals are selected, find the probability that the mean sleep time per night is greater than 8 hours.

0.2981

0.3207

0.0103

0.000118.

Using the following uniform density curve, answer the question.

What is the probability that the random variable has a value greater than 2?

0.700

0.875

0.625

0.750

*again I cant copy the graph on here so no problem if you can solve it19.

If z is a standard normal variable, find the probability.

The probability that z lies between –1.10 and –0.36

0.2237

0.2239

–0.2237

0.495120.

Find the indicated probability.

The lengths of human pregnancies are normally distributed with a mean of 268 days and a standard deviation of 15 days. What is the probability that a pregnancy lasts at least 300 days?

0.4834

0.0166

0.0179

0.9834And thats the end of the first one thank you!

1.

Solve the problem.

A bank's loan officer rates applicants for credit. The ratings are normally distributed with a mean of 200 and a standard deviation of 50. If 40 different applicants are randomly selected, find the probability that their mean is above 215.

0.0287

0.1179

0.3821

0.47132.

Select the correct response.

Which biased estimator will have a reduced bias based on an increased sample size?

median

standard deviation

range

mean4.

Solve the problem.

The scores on a certain test are normally distributed with a mean score of 43 and a standard deviation of 3. What is the probability that a sample of 90 students will have a mean score of at least 43.3162?

0.8413

0.1587

0.3174

0.34135.

Solve the problem.

Human body temperatures are normally distributed with a mean of 98.20°F and a standard deviation of 0.62°F. If 19 people are randomly selected, find the probability that their mean body temperature will be less than 98.50°F.

0.0833

0.9826

0.4826

0.33436.

Provide an appropriate response.

Samples of size n = 240 are randomly selected from the population of numbers (0 through 20) produced by a random-number generator, and the variance is found for each sample. What is the distribution of the sample variances?

normal (approximately)

skewed to the left

skewed to the right

not enough information provided7.

If z is a standard normal variable, find the probability.

The probability that z is greater than –1.82

0.4656

0.0344

–0.0344

0.96568.

Choose the correct response.

Why are unbiased estimators preferred over biased estimators?

Unbiased estimators retain the original distribution of the sample, where as biased estimators follow a normal distribution.

Unbiased estimators follow the normal distribution, where as biased estimators follow the original distribution.

Unbiased estimators behave with reliable results, where as biased estimators are inconsistent.

Unbiased estimators require a greater sample size which gives greater accuracy over biased estimators.9.

Solve the problem. Round to the nearest tenth unless indicated otherwise.

In one region, the September energy consumption levels for single-family homes are found to be normally distributed with a mean of 1050 kWh and a standard deviation of 218 kWh. Find P45, which is the consumption level separating the bottom 45% from the top 55%.

1078.3

1148.1

1087.8

1021.710.

The Precision Scientific Instrument Company manufactures thermometers that are supposed to give readings of 0°C at the freezing point of water. Tests on a large sample of these thermometers reveal that at the freezing point of water, some give readings below 0°C (denoted by negative numbers) and some give readings above 0°C (denoted by positive numbers). Assume that the mean reading is 0°C and the standard deviation of the readings is 1.00°C. Also assume that the frequency distribution of errors closely resembles the normal distribution. A thermometer is randomly selected and tested. Find the temperature reading corresponding to the given information.

If 6.3% of the thermometers are rejected because they have readings that are too high and another 6.3% are rejected because they have readings that are too low, find the two readings that are cutoff values separating the rejected thermometers from the others.

–1.53° , 1.53°

–1.45° , 1.45°

–1.39° , 1.39°

–1.46° , 1.46°I'll send the second half in a minute but here are these to start11.

Provide an appropriate response.

Find the indicated IQ score. The graph depicts IQ scores of adults, and those scores are normally distributed with a mean of 100 and a standard deviation of 15 (as on the Wechsler test).

The shaded area under the curve is 0.5675.

110.7

129.6

97.5

102.6

*if you cant solve this cause there is no graph dont worry about it12.

Provide an appropriate response.

Samples of size n = 15 are randomly selected from the population of numbers (0 through 9) produced by a random-number generator, and the standard deviation is found for each sample. What is the distribution of the sample standard deviations?

not enough information provided

skewed to the left

skewed to the right

normal (approximately)13.

Solve the problem.

A math teacher gives two different tests to measure students' aptitude for math. Scores on the first test are normally distributed with a mean of 23 and a standard deviation of 4.2. Scores on the second test are normally distributed with a mean of 71 and a standard deviation of 10.8. Assume that the two tests use different scales to measure the same aptitude. If a student scores 29 on the first test, what would be his equivalent score on the second test? (That is, find the score that would put him in the same percentile.)

87

77

84

8614.

Find the indicated probability.

The diameters of pencils produced by a certain machine are normally distributed with a mean of 0.30 inches and a standard deviation of 0.01 inches. What is the probability that the diameter of a randomly selected pencil will be less than 0.285 inches?

0.0668

0.9332

0.4332

0.059615.

Solve the problem.

Assume that women's heights are normally distributed with a mean of 63.6 inches and a standard deviation of 2.5 inches. If 90 women are randomly selected, find the probability that they have a mean height between 62.9 inches and 64.0 inches.

0.9318

0.1739

0.7248

0.042416.

Provide an appropriate response.

Samples of size n = 60 are randomly selected from the population of numbers (0 through 9) produced by a random-number generator, and the mean is taken for each sample. What is the distribution of the sample means?

normal (approximately)

not enough information provided

skewed to the right

skewed to the left17.

Solve the problem.

In a recent study of animal sleep times at the zoo, the mean amount of sleep per night is 6.3 hours with a standard deviation of 2.1. If 23 animals are selected, find the probability that the mean sleep time per night is greater than 8 hours.

0.2981

0.3207

0.0103

0.000118.

Using the following uniform density curve, answer the question.

What is the probability that the random variable has a value greater than 2?

0.700

0.875

0.625

0.750

*again I cant copy the graph on here so no problem if you can solve it19.

If z is a standard normal variable, find the probability.

The probability that z lies between –1.10 and –0.36

0.2237

0.2239

–0.2237

0.495120.

Find the indicated probability.

The lengths of human pregnancies are normally distributed with a mean of 268 days and a standard deviation of 15 days. What is the probability that a pregnancy lasts at least 300 days?

0.4834

0.0166

0.0179

0.9834And thats the end of the first one thank you!

Thanks. I will post the answer shortly.

Here it is. Please let me know if you have any questions. Thanks.

1.

Solve the problem.

A bank's loan officer rates applicants for credit. The ratings are normally distributed with a mean of 200 and a standard deviation of 50. If 40 different applicants are randomly selected, find the probability that their mean is above 215.**0.0287**

0.1179

0.3821

0.4713

2.

Select the correct response.

Which biased estimator will have a reduced bias based on an increased sample size?

median**standard deviation**

range

mean

4.

Solve the problem.

The scores on a certain test are normally distributed with a mean score of 43 and a standard deviation of 3. What is the probability that a sample of 90 students will have a mean score of at least 43.3162?

0.8413**0.1587**

0.3174

0.3413

5.

Solve the problem.

Human body temperatures are normally distributed with a mean of 98.20°F and a standard deviation of 0.62°F. If 19 people are randomly selected, find the probability that their mean body temperature will be less than 98.50°F.

0.0833**0.9826**

0.4826

0.3343

6.

Provide an appropriate response.

Samples of size n = 240 are randomly selected from the population of numbers (0 through 20) produced by a random-number generator, and the variance is found for each sample. What is the distribution of the sample variances?**normal (approximately)**

skewed to the left

skewed to the right

not enough information provided

7.

If z is a standard normal variable, find the probability.

The probability that z is greater than –1.82

0.4656

0.0344

–0.0344**0.9656**

8.

Choose the correct response.

Why are unbiased estimators preferred over biased estimators?

Unbiased estimators retain the original distribution of the sample, where as biased estimators follow a normal distribution.

Unbiased estimators follow the normal distribution, where as biased estimators follow the original distribution.**Unbiased estimators behave with reliable results, where as biased estimators are inconsistent.**

Unbiased estimators require a greater sample size which gives greater accuracy over biased estimators.

9.

Solve the problem. Round to the nearest tenth unless indicated otherwise.

In one region, the September energy consumption levels for single-family homes are found to be normally distributed with a mean of 1050 kWh and a standard deviation of 218 kWh. Find P45, which is the consumption level separating the bottom 45% from the top 55%.

1078.3

1148.1

1087.8**1021.7**

10.

The Precision Scientific Instrument Company manufactures thermometers that are supposed to give readings of 0°C at the freezing point of water. Tests on a large sample of these thermometers reveal that at the freezing point of water, some give readings below 0°C (denoted by negative numbers) and some give readings above 0°C (denoted by positive numbers). Assume that the mean reading is 0°C and the standard deviation of the readings is 1.00°C. Also assume that the frequency distribution of errors closely resembles the normal distribution. A thermometer is randomly selected and tested. Find the temperature reading corresponding to the given information.

If 6.3% of the thermometers are rejected because they have readings that are too high and another 6.3% are rejected because they have readings that are too low, find the two readings that are cutoff values separating the rejected thermometers from the others.**–1.53° , 1.53°**

–1.45° , 1.45°

–1.39° , 1.39°

–1.46° , 1.46°

11.

Provide an appropriate response.

Find the indicated IQ score. The graph depicts IQ scores of adults, and those scores are normally distributed with a mean of 100 and a standard deviation of 15 (as on the Wechsler test).

The shaded area under the curve is 0.5675.

110.7

129.6

97.5

102.6

*if you cant solve this cause there is no graph dont worry about it**The answer is 102.6 if the area is on the left.**

**The answer is 97.5 is the area is on the right.**

12.

Provide an appropriate response.

Samples of size n = 15 are randomly selected from the population of numbers (0 through 9) produced by a random-number generator, and the standard deviation is found for each sample. What is the distribution of the sample standard deviations?

not enough information provided

skewed to the left

skewed to the right**normal (approximately)**

13.

Solve the problem.

A math teacher gives two different tests to measure students' aptitude for math. Scores on the first test are normally distributed with a mean of 23 and a standard deviation of 4.2. Scores on the second test are normally distributed with a mean of 71 and a standard deviation of 10.8. Assume that the two tests use different scales to measure the same aptitude. If a student scores 29 on the first test, what would be his equivalent score on the second test? (That is, find the score that would put him in the same percentile.)

87

77

84**86**

14.

Find the indicated probability.

The diameters of pencils produced by a certain machine are normally distributed with a mean of 0.30 inches and a standard deviation of 0.01 inches. What is the probability that the diameter of a randomly selected pencil will be less than 0.285 inches?**0.0668**

0.9332

0.4332

0.0596

15.

Solve the problem.

Assume that women's heights are normally distributed with a mean of 63.6 inches and a standard deviation of 2.5 inches. If 90 women are randomly selected, find the probability that they have a mean height between 62.9 inches and 64.0 inches.**0.9318**

0.1739

0.7248

0.0424

16.

Provide an appropriate response.

Samples of size n = 60 are randomly selected from the population of numbers (0 through 9) produced by a random-number generator, and the mean is taken for each sample. What is the dispnotribution of the sample means?**pnonormal (approximately)**

not enough information provided

skewed to the right

skewed to the left

17.

Solve the problem.

In a recent study of animal sleep times at the zoo, the mean amount of sleep per night is 6.3 hours with a standard deviation of 2.1. If 23 animals are selected, find the probability that the mean sleep time per night is greater than 8 hours.

0.2981

0.3207

0.0103**0.0001**

18.

Using the following uniform density curve, answer the question.

What is the probability that the random variable has a value greater than 2?

0.700

0.875

0.625

0.750

*again I cant copy the graph on here so no problem if you can solve it

**The answer = (Max – 2 ) / (Max – Min).**

19.

If z is a standard normal variable, find the probability.

The probability that z lies between –1.10 and –0.36**0.2237**

0.2239

–0.2237

0.4951

20.

Find the indicated probability.

The lengths of human pregnancies are normally distributed with a mean of 268 days and a standard deviation of 15 days. What is the probability that a pregnancy lasts at least 300 days?

0.4834**0.0166**

0.0179

0.9834

Customer reply replied 4 years ago

thank you, I'm going to give you quiz questions one at a time and after you answer one Ill give you then next.

2.

Find P(z > –2.575).

2.

Find P(z > –2.575).

0.995.

Customer reply replied 4 years ago

Find the probability of selecting a z score less than 1.81.

0.9649

Customer reply replied 4 years ago

Find z0.90.

1.2816.

Customer reply replied 4 years ago

Find z0.05.

-1.645

Sorry should be 1.645

Customer reply replied 4 years ago

all good

Find the probability of selecting a z score between –0.85 and 1.15.

Find the probability of selecting a z score between –0.85 and 1.15.

0.6773.

Customer reply replied 4 years ago

Find z0.755.

-0.690

Customer reply replied 4 years ago

Find the area to the right of a z score of 2.75 under a standard normal distribution curve.

0.00298

Customer reply replied 4 years ago

Following a standard normal distribution curve, find the area to the left of a z score of –1.645.

0.05

Customer reply replied 4 years ago

Find the probability of selecting a z score between –0.85 and 1.15.

0.6773.

Customer reply replied 4 years ago

Find the z score that corresponds to P67, the 67th percentile of a standard normal distribution curve.last one for this quiz

0.4399

Customer reply replied 4 years ago

Samples of size n = 1500 are randomly selected from the population of dogs who grow taller than 2 feet, and the mean of heights is found for each sample. What is the distribution of the sample mean?

normal

Customer reply replied 4 years ago

is it skewed to the left or right or just normal?

Is this multiple choice question? If yes what are the choices?

Customer reply replied 4 years ago

A.

normal distribution skewed to the rightB.

not a normal distributionC.

normal distribution skewed to the leftD.

normal distribution

normal distribution skewed to the rightB.

not a normal distributionC.

normal distribution skewed to the leftD.

normal distribution

D.

normal distribution

Customer reply replied 4 years ago

You decide to randomly survey 25 people at a time on the number of movies they see at the movie theater per year. The population for your survey comes from the entire city population. You decide to measure the range of each sample and draw a histogram of the data. How is the data distributed?A.

not a normal distributionB.

normal distribution skewed to the leftC.

normal distributionD.

normal distribution skewed to the right

not a normal distributionB.

normal distribution skewed to the leftC.

normal distributionD.

normal distribution skewed to the right

A.

not a normal distribution

Customer reply replied 4 years ago

You roll a die 8 times and record the results. You and a friend repeat the experiment 100 times each and find the median of each sample. Afterward, you graph the sampling distribution of the median. What is the distribution?A.

normal distributionB.

not a normal distributionC.

normal distribution skewed to the leftD.

normal distribution skewed to the right

normal distributionB.

not a normal distributionC.

normal distribution skewed to the leftD.

normal distribution skewed to the right

A.

normal distribution

Customer reply replied 4 years ago

4.

You randomly observe purchases at a candy store and record the weight of each bag of candy with 100 different customers. You find the proportion of weights greater than 2 pounds. Is investigating this sample proportion the same as investigating the sampling distribution of the proportion?A.

Yes, the customers will most likely purchase different weights of candy, and the different amounts will be evenly distributed.B.

Yes, at least 100 customers were observed.C.

No, the sampling distribution of the proportion is the distribution of the proportions from all samples, not just one.D.

No, the sample comes from only one store. The sample needs to be expanded to multiple candy stores.

You randomly observe purchases at a candy store and record the weight of each bag of candy with 100 different customers. You find the proportion of weights greater than 2 pounds. Is investigating this sample proportion the same as investigating the sampling distribution of the proportion?A.

Yes, the customers will most likely purchase different weights of candy, and the different amounts will be evenly distributed.B.

Yes, at least 100 customers were observed.C.

No, the sampling distribution of the proportion is the distribution of the proportions from all samples, not just one.D.

No, the sample comes from only one store. The sample needs to be expanded to multiple candy stores.

C.

Customer reply replied 4 years ago

Certain statistics measures are unbiased. Which of the following show three unbiased estimators?A.

range, standard deviation, medianB.

mean, variance, proportionC.

mean, median, rangeD.

variance, standard deviation, median

range, standard deviation, medianB.

mean, variance, proportionC.

mean, median, rangeD.

variance, standard deviation, median

B.

Customer reply replied 4 years ago

The sampling distribution of certain statistical measures shows a normal distribution. Which of the following is an unbiased estimator that has a graph that is normally distributed and is not skewed?A.

varianceB.

medianC.

proportionD.

range

varianceB.

medianC.

proportionD.

range

C.

Customer reply replied 4 years ago

Determine which of the following show three biased estimators.A.

median, mean, rangeB.

variance, proportion, meanC.

standard deviation, median, rangeD.

range, standard deviation, variance

median, mean, rangeB.

variance, proportion, meanC.

standard deviation, median, rangeD.

range, standard deviation, variance

B

Customer reply replied 4 years ago

8.

Which of the following statistics contain three unbiased estimators?A.

median, range, standard deviationB.

variance, mean, proportionC.

variance, standard deviation, medianD.

mean, median, range

Which of the following statistics contain three unbiased estimators?A.

median, range, standard deviationB.

variance, mean, proportionC.

variance, standard deviation, medianD.

mean, median, range

B

Customer reply replied 4 years ago

9.

You randomly call 3,000 people across the nation and record the monthly rent or mortgage payment. How does finding the mean of this sample compare to investigating the sampling distribution of the mean?A.

Investigating the mean of the sample is the same as investigating the sampling distribution of the mean.B.

This sample contains 3,000 people, but the mean is limited to paying rent or paying a mortgage. So the sampling distribution of the mean cannot be found.C.

Since the 3,000 people are spread across the nation, they can be grouped by different categories in order to find the sampling distribution of the mean.D.

This is just one sample. The sampling distribution of the mean requires repeating this process with the same sample several times.

You randomly call 3,000 people across the nation and record the monthly rent or mortgage payment. How does finding the mean of this sample compare to investigating the sampling distribution of the mean?A.

Investigating the mean of the sample is the same as investigating the sampling distribution of the mean.B.

This sample contains 3,000 people, but the mean is limited to paying rent or paying a mortgage. So the sampling distribution of the mean cannot be found.C.

Since the 3,000 people are spread across the nation, they can be grouped by different categories in order to find the sampling distribution of the mean.D.

This is just one sample. The sampling distribution of the mean requires repeating this process with the same sample several times.

D

Customer reply replied 4 years ago

10.

You flip a coin 8 times and record the results using 0 for heads and 1 for tails. You find the variance. Is investigating this sample variance the same as investigating the sampling distribution of the variance?A.

No, the sampling distribution of the variance is the distribution of the means from all samples, not just one.B.

Yes, only one person is necessary to flip the coin and find the variance.C.

No, the sample only contains 8 coin flips. The sample needs to be much larger.D.

Yes, the probability of getting heads and the probability of getting tails is the same.

You flip a coin 8 times and record the results using 0 for heads and 1 for tails. You find the variance. Is investigating this sample variance the same as investigating the sampling distribution of the variance?A.

No, the sampling distribution of the variance is the distribution of the means from all samples, not just one.B.

Yes, only one person is necessary to flip the coin and find the variance.C.

No, the sample only contains 8 coin flips. The sample needs to be much larger.D.

Yes, the probability of getting heads and the probability of getting tails is the same.

A

Customer reply replied 4 years ago

1.

Provide an appropriate response.

Samples of size n = 125 are randomly selected from the U.S. census data, and the median children per household is found for each sample. What is the distribution of the sample medians?

skewed to the right

skewed to the left

not enough information provided

normal (approximately)2.

Solve the problem.

The scores on a certain test are normally distributed with a mean score of 43 and a standard deviation of 3. What is the probability that a sample of 90 students will have a mean score of at least 43.3162?

0.8413

0.1587

0.3174

0.34133.

Provide an appropriate response.

Samples of size n = 250 are randomly selected from the U.S. census data, and the median income is found for each sample. What is the distribution of the sample medians?

normal (approximately)

not enough information provided

skewed to the left

skewed to the right4.

Find the indicated probability.

The weekly salaries of teachers in one state are normally distributed with a mean of $490 and a standard deviation of $45. What is the probability that a randomly selected teacher earns more than $525 a week?

0.7823

0.2177

0.2823

0.10035.

Solve the problem.

Assume that women's heights are normally distributed with a mean of 63.6 inches and a standard deviation of 2.5 inches. If 90 women are randomly selected, find the probability that they have a mean height between 62.9 inches and 64.0 inches.

0.9318

0.1739

0.7248

0.04246.

If z is a standard normal variable, find the probability.

P(–0.73 < z < 2.27)

1.54

0.4884

0.2211

0.75577.

Provide an appropriate response.

Find the area of the shaded region. The graph depicts IQ scores of adults, and those scores are normally distributed with a mean of 100 and a standard deviation of 15 (as on the Wechsler test).

0.7303

0.7619

0.7938

0.7745

*graph on this problem so whatever you can do8.

Using the following uniform density curve, answer the question.

What is the probability that the random variable has a value greater than 2?

0.750

0.700

0.625

0.875

*Same for this problem9.

Provide an appropriate response.

Find P15, which is the IQ score separating the bottom 15% from the top 85%.

84.0

83.3

82.5

84.610.

If z is a standard normal variable, find the probability.

P(z > 0.59)

0.2190

0.2224

0.7224

0.277611.

Select the correct response.

Given a sample size n, how will the distribution of the sample mean behave?

like the original distribution

unable to discern from this information

like the uniform distribution

like the normal distribution12.

Find the indicated z score. The graph depicts the standard normal distribution with mean 0 and standard deviation 1.

Shaded area is 0.9599.

–1.38

1.75

1.82

1.03

*graph13.

Solve the problem.

A bank's loan officer rates applicants for credit. The ratings are normally distributed with a mean of 200 and a standard deviation of 50. If 40 different applicants are randomly selected, find the probability that their mean is above 215.

0.3821

0.0287

0.1179

0.471314.

Solve the problem.

Suppose that replacement times for washing machines are normally distributed with a mean of 9.3 years and a standard deviation of 1.1 years. Find the probability that 70 randomly selected washing machines will have a mean replacement time less than 9.1 years.

0.4357

0.0714

0.0643

0.428615.

Provide an appropriate response.

Find the area of the shaded region. The graph depicts IQ scores of adults, and those scores are normally distributed with a mean of 100 and a standard deviation of 15 (as on the Wechsler test).

0.4400

0.6293

0.7486

0.8051

*graph16.

Select the correct response.

Which biased estimator will have a reduced bias based on an increased sample size?

range

median

standard deviation

mean17.

Solve the problem.

Human body temperatures are normally distributed with a mean of 98.20°F and a standard deviation of 0.62°F. If 19 people are randomly selected, find the probability that their mean body temperature will be less than 98.50°F.

0.9826

0.3343

0.0833

0.482618.

Select the correct response.

What are unbiased estimators targeting?

sample means

independent samples

normal distributions

population parameters19.

Solve the problem. Round to the nearest tenth unless indicated otherwise.

In one region, the September energy consumption levels for single-family homes are found to be normally distributed with a mean of 1050 kWh and a standard deviation of 218 kWh. Find P45, which is the consumption level separating the bottom 45% from the top 55%.

1087.8

1148.1

1021.7

1078.320.

Find the area of the shaded region. The graph depicts the standard normal distribution with mean 0 and standard deviation 1.

–0.0344

0.9656

0.0344

0.4656

*graphIm going to try to upload the graphs in a word doc

Provide an appropriate response.

Samples of size n = 125 are randomly selected from the U.S. census data, and the median children per household is found for each sample. What is the distribution of the sample medians?

skewed to the right

skewed to the left

not enough information provided

normal (approximately)2.

Solve the problem.

The scores on a certain test are normally distributed with a mean score of 43 and a standard deviation of 3. What is the probability that a sample of 90 students will have a mean score of at least 43.3162?

0.8413

0.1587

0.3174

0.34133.

Provide an appropriate response.

Samples of size n = 250 are randomly selected from the U.S. census data, and the median income is found for each sample. What is the distribution of the sample medians?

normal (approximately)

not enough information provided

skewed to the left

skewed to the right4.

Find the indicated probability.

The weekly salaries of teachers in one state are normally distributed with a mean of $490 and a standard deviation of $45. What is the probability that a randomly selected teacher earns more than $525 a week?

0.7823

0.2177

0.2823

0.10035.

Solve the problem.

Assume that women's heights are normally distributed with a mean of 63.6 inches and a standard deviation of 2.5 inches. If 90 women are randomly selected, find the probability that they have a mean height between 62.9 inches and 64.0 inches.

0.9318

0.1739

0.7248

0.04246.

If z is a standard normal variable, find the probability.

P(–0.73 < z < 2.27)

1.54

0.4884

0.2211

0.75577.

Provide an appropriate response.

Find the area of the shaded region. The graph depicts IQ scores of adults, and those scores are normally distributed with a mean of 100 and a standard deviation of 15 (as on the Wechsler test).

0.7303

0.7619

0.7938

0.7745

*graph on this problem so whatever you can do8.

Using the following uniform density curve, answer the question.

What is the probability that the random variable has a value greater than 2?

0.750

0.700

0.625

0.875

*Same for this problem9.

Provide an appropriate response.

Find P15, which is the IQ score separating the bottom 15% from the top 85%.

84.0

83.3

82.5

84.610.

If z is a standard normal variable, find the probability.

P(z > 0.59)

0.2190

0.2224

0.7224

0.277611.

Select the correct response.

Given a sample size n, how will the distribution of the sample mean behave?

like the original distribution

unable to discern from this information

like the uniform distribution

like the normal distribution12.

Find the indicated z score. The graph depicts the standard normal distribution with mean 0 and standard deviation 1.

Shaded area is 0.9599.

–1.38

1.75

1.82

1.03

*graph13.

Solve the problem.

A bank's loan officer rates applicants for credit. The ratings are normally distributed with a mean of 200 and a standard deviation of 50. If 40 different applicants are randomly selected, find the probability that their mean is above 215.

0.3821

0.0287

0.1179

0.471314.

Solve the problem.

Suppose that replacement times for washing machines are normally distributed with a mean of 9.3 years and a standard deviation of 1.1 years. Find the probability that 70 randomly selected washing machines will have a mean replacement time less than 9.1 years.

0.4357

0.0714

0.0643

0.428615.

Provide an appropriate response.

Find the area of the shaded region. The graph depicts IQ scores of adults, and those scores are normally distributed with a mean of 100 and a standard deviation of 15 (as on the Wechsler test).

0.4400

0.6293

0.7486

0.8051

*graph16.

Select the correct response.

Which biased estimator will have a reduced bias based on an increased sample size?

range

median

standard deviation

mean17.

Solve the problem.

Human body temperatures are normally distributed with a mean of 98.20°F and a standard deviation of 0.62°F. If 19 people are randomly selected, find the probability that their mean body temperature will be less than 98.50°F.

0.9826

0.3343

0.0833

0.482618.

Select the correct response.

What are unbiased estimators targeting?

sample means

independent samples

normal distributions

population parameters19.

Solve the problem. Round to the nearest tenth unless indicated otherwise.

In one region, the September energy consumption levels for single-family homes are found to be normally distributed with a mean of 1050 kWh and a standard deviation of 218 kWh. Find P45, which is the consumption level separating the bottom 45% from the top 55%.

1087.8

1148.1

1021.7

1078.320.

Find the area of the shaded region. The graph depicts the standard normal distribution with mean 0 and standard deviation 1.

–0.0344

0.9656

0.0344

0.4656

*graphIm going to try to upload the graphs in a word doc

I have finished 10 questions.

1. 4th

2. 2nd

3. 1st

4. 2nd

5. 1st

6. 4th

7. 3rd

8. 1st

9. 4th

10. 4th

11. 2nd

12. 2nd

13. 2nd

14. 3rd

15. 3rd

16. 3rd

17. 1st

18. 4th

19. 3rd

20. 2nd

2. 2nd

3. 1st

4. 2nd

5. 1st

6. 4th

7. 3rd

8. 1st

9. 4th

10. 4th

11. 2nd

12. 2nd

13. 2nd

14. 3rd

15. 3rd

16. 3rd

17. 1st

18. 4th

19. 3rd

20. 2nd

Customer reply replied 4 years ago

Thank you so much, here is the next pre test

1.

Suppose you invest $2500 at an annual interest rate of 3% compounded continuously. How much will you have in the account after 7 years? Round the solution to the nearest dollar.

$3297

$3592

$3025

$30842.

Choose the property used to rewrite the expression.

log6(18)-log6(6)=log6(3)

Power Property

Commutative Property

Quotient Property

Product Property3.

Graph the exponential model y=0.5(4)^x. Which point lies on the graph?

(2, 8)

(0, 1)

(1, –2)

(4, 2)4.

What is the solution of the equation 3^(x – 1) = 7? Round your answer to the nearest ten-thousandth.

1.7712

2.7712

2.3680

0.36095.

Use natural logarithms to solve the equation.

7e(2x) – 5 = 27

Round to the nearest thousandth.

0.760

0.248

3.175

0.573Choose the property used to rewrite the expression.

log4(7)+log4(2)=log4(14)

Power Property

Quotient Property

Commutative Property

Product Property7.

Use natural logarithms to solve the equation.

e^(2x) = 1.4

Round to the nearest thousandth.

0.190

0.168

–1.664

0.0738.

Solve log (7x + 3) = 2. Round to the nearest thousandth if necessary.

0.143

97

13.857

0.0019.

Choose the single logarithmic expression that is equivalent to the one shown.

log3(2x)-5log3ylog3(2x-y^5)

log3(2x/5y)

log3(2x/y^5)

log3(2x-5y)10.

Evaluate log3 9.

1

2

–2

311.

Solve log (6x + 5) = 2. Round to the nearest thousandth if necessary.

0.063

1.978

15.833

9512.

How is the graph of log (x – 5) translated from the graph of log x?

shifted left 5 units

shifted up 5 units

shifted right 5 units

shifted down 5 units13.

Write the expression as a single natural logarithm.

2 ln 8 + 2 ln yln 32y

ln (64 + y2)

ln 64y2

ln 16y2Which is the logarithmic form of 7^(5) = 16,807?

log 16,807 = 5

log 16,807 = 5 mc048-1.jpg 7

log5 16,807 = 7

log7 16,807 = 515.

How is the graph of y=-(1/2)(5)^x-3 translated from the graph of y=(1/2)(5)^x?

reflected across the x-axis and 3 units left

reflected across the y-axis and 3 units down

reflected across the y-axis and 3 units right

reflected across the x-axis and 3 units down16.

What is the solution of the equation 14^(x) = 5? Round your answer to the nearest ten-thousandth.

1.6397

0.4472

0.6099

0.801117.

Solve log 2x^(2) + 2 = 6. Round to the nearest thousandth if necessary.

50 sqrt(2), or about 70.711

707.106

1.414

5 sqrt(2), or about 7.07118.

Which is the exponential form of log4 x = 32?

x32 = 4

432 = x

324 = x

4x = 3219.

Choose the property used to rewrite the expression.

log5(6)-log5(2)=log5(3)

Product Property

Quotient Property

Commutative Property

Power Property20.

Solve 3 log 2x = 4. Round to the nearest thousandth if necessary.

5

10.772

2.783

0.63121.

Solve log (7x + 7) = 1. Round to the nearest thousandth if necessary.

2.333

0.875

0.429

1.14322.

Write an exponential function y = ab^x for a graph that includes (2, 24) and (3, 48).

y = 3(4)x

y = 6(2)x

y = 2(6)x

y = 4(3)x23.

Which function represents exponential decay?

y=35x^1.35

y=(35/0.35^x)

y=35(0.35)^x

y=35(1.35)^x24.

The deer population increases at a rate of 3% per year. There are 1253 deer this year. Write a function that models the deer population. About how many deer will there be in 6 years?

1044

9134

1496

177725.

How is the graph of y=4(2)^(x-3) translated from the graph of y=4(2)^x?

3 units left

3 units down

3 units right

3 units up26.

Evaluate log6 1296.

4

6

3

–427.

Use natural logarithms to solve the equation.8e^(3x) + 9 = 13

Round to the nearest thousandth.

0.337

–0.231

–2.838

0.05828.

What is the solution of the equation 5^(3x) = 15? Round your answer to the nearest ten-thousandth.

2.4662

0.9542

0.5609

1.782929.

Write the expression as a single natural logarithm.

2 ln x – 4 ln cln(c^4/x^2)

ln(x^2/c^4)

ln(x^2+c^4)

ln(x^2-c^4)30.

What is the solution of the equation 3 + 5^(x) = 7? Round your answer to the nearest ten-thousandth.

1.1610

2.0969

3.2579

0.861431.

How is the graph of y=2(3)^(x+1)-4 translated from the graph of y=2(3)^x?

4 units left and 1 unit down

1 unit left and 4 units down

1 unit right and 4 units up

4 units right and 1 unit up32.

What is the solution of the equation 11 – 4^(x) = 5? Round your answer to the nearest ten-thousandth.

1.2925

1.7737

1.1761

2.949833.

Graph the exponential model y=3(6)^x. Which point lies on the graph?

(-1, -18)

(2, 9)

(-9 2)

(1, 18)34.

How is the graph of y=4(2)^x+3 translated from the graph of y=4(2)^x?

3 units down

3 units right

3 units left

3 units up35.

Expand the logarithm.

log6 (4a^5log6(4)-5log6^a

4log6(a^5

log6(4 * 5log6(a

log6(4+5log6(a

*-multiply

1.

Suppose you invest $2500 at an annual interest rate of 3% compounded continuously. How much will you have in the account after 7 years? Round the solution to the nearest dollar.

$3297

$3592

$3025

$30842.

Choose the property used to rewrite the expression.

log6(18)-log6(6)=log6(3)

Power Property

Commutative Property

Quotient Property

Product Property3.

Graph the exponential model y=0.5(4)^x. Which point lies on the graph?

(2, 8)

(0, 1)

(1, –2)

(4, 2)4.

What is the solution of the equation 3^(x – 1) = 7? Round your answer to the nearest ten-thousandth.

1.7712

2.7712

2.3680

0.36095.

Use natural logarithms to solve the equation.

7e(2x) – 5 = 27

Round to the nearest thousandth.

0.760

0.248

3.175

0.573Choose the property used to rewrite the expression.

log4(7)+log4(2)=log4(14)

Power Property

Quotient Property

Commutative Property

Product Property7.

Use natural logarithms to solve the equation.

e^(2x) = 1.4

Round to the nearest thousandth.

0.190

0.168

–1.664

0.0738.

Solve log (7x + 3) = 2. Round to the nearest thousandth if necessary.

0.143

97

13.857

0.0019.

Choose the single logarithmic expression that is equivalent to the one shown.

log3(2x)-5log3ylog3(2x-y^5)

log3(2x/5y)

log3(2x/y^5)

log3(2x-5y)10.

Evaluate log3 9.

1

2

–2

311.

Solve log (6x + 5) = 2. Round to the nearest thousandth if necessary.

0.063

1.978

15.833

9512.

How is the graph of log (x – 5) translated from the graph of log x?

shifted left 5 units

shifted up 5 units

shifted right 5 units

shifted down 5 units13.

Write the expression as a single natural logarithm.

2 ln 8 + 2 ln yln 32y

ln (64 + y2)

ln 64y2

ln 16y2Which is the logarithmic form of 7^(5) = 16,807?

log 16,807 = 5

log 16,807 = 5 mc048-1.jpg 7

log5 16,807 = 7

log7 16,807 = 515.

How is the graph of y=-(1/2)(5)^x-3 translated from the graph of y=(1/2)(5)^x?

reflected across the x-axis and 3 units left

reflected across the y-axis and 3 units down

reflected across the y-axis and 3 units right

reflected across the x-axis and 3 units down16.

What is the solution of the equation 14^(x) = 5? Round your answer to the nearest ten-thousandth.

1.6397

0.4472

0.6099

0.801117.

Solve log 2x^(2) + 2 = 6. Round to the nearest thousandth if necessary.

50 sqrt(2), or about 70.711

707.106

1.414

5 sqrt(2), or about 7.07118.

Which is the exponential form of log4 x = 32?

x32 = 4

432 = x

324 = x

4x = 3219.

Choose the property used to rewrite the expression.

log5(6)-log5(2)=log5(3)

Product Property

Quotient Property

Commutative Property

Power Property20.

Solve 3 log 2x = 4. Round to the nearest thousandth if necessary.

5

10.772

2.783

0.63121.

Solve log (7x + 7) = 1. Round to the nearest thousandth if necessary.

2.333

0.875

0.429

1.14322.

Write an exponential function y = ab^x for a graph that includes (2, 24) and (3, 48).

y = 3(4)x

y = 6(2)x

y = 2(6)x

y = 4(3)x23.

Which function represents exponential decay?

y=35x^1.35

y=(35/0.35^x)

y=35(0.35)^x

y=35(1.35)^x24.

The deer population increases at a rate of 3% per year. There are 1253 deer this year. Write a function that models the deer population. About how many deer will there be in 6 years?

1044

9134

1496

177725.

How is the graph of y=4(2)^(x-3) translated from the graph of y=4(2)^x?

3 units left

3 units down

3 units right

3 units up26.

Evaluate log6 1296.

4

6

3

–427.

Use natural logarithms to solve the equation.8e^(3x) + 9 = 13

Round to the nearest thousandth.

0.337

–0.231

–2.838

0.05828.

What is the solution of the equation 5^(3x) = 15? Round your answer to the nearest ten-thousandth.

2.4662

0.9542

0.5609

1.782929.

Write the expression as a single natural logarithm.

2 ln x – 4 ln cln(c^4/x^2)

ln(x^2/c^4)

ln(x^2+c^4)

ln(x^2-c^4)30.

What is the solution of the equation 3 + 5^(x) = 7? Round your answer to the nearest ten-thousandth.

1.1610

2.0969

3.2579

0.861431.

How is the graph of y=2(3)^(x+1)-4 translated from the graph of y=2(3)^x?

4 units left and 1 unit down

1 unit left and 4 units down

1 unit right and 4 units up

4 units right and 1 unit up32.

What is the solution of the equation 11 – 4^(x) = 5? Round your answer to the nearest ten-thousandth.

1.2925

1.7737

1.1761

2.949833.

Graph the exponential model y=3(6)^x. Which point lies on the graph?

(-1, -18)

(2, 9)

(-9 2)

(1, 18)34.

How is the graph of y=4(2)^x+3 translated from the graph of y=4(2)^x?

3 units down

3 units right

3 units left

3 units up35.

Expand the logarithm.

log6 (4a^5log6(4)-5log6^a

4log6(a^5

log6(4 * 5log6(a

log6(4+5log6(a

*-multiply

Got it. I will post the answer shortly.

Customer reply replied 4 years ago

Great thanks

You are welcome.

1.

Suppose you invest $2500 at an annual interest rate of 3% compounded continuously. How much will you have in the account after 7 years? Round the solution to the nearest dollar.

$3297

$3592

$3025**$3084**

2.

Choose the property used to rewrite the expression.

log6(18)-log6(6)=log6(3)

Power Property

Commutative Property**Quotient Property**

Product Property

3.

Graph the exponential model y=0.5(4)^x. Which point lies on the graph? **(2, 8)**

(0, 1)

(1, –2)

(4, 2)

4.

What is the solution of the equation 3^(x – 1) = 7? Round your answer to the nearest ten-thousandth.

1.7712**2.7712**

2.3680

0.3609

5.

Use natural logarithms to solve the equation.

7e(2x) – 5 = 27

Round to the nearest thousandth. **0.760**

0.248

3.175

0.573

Choose the property used to rewrite the expression.

log4(7)+log4(2)=log4(14)

Power Property

Quotient Property

Commutative Property**Product Property**

7.

Use natural logarithms to solve the equation.

e^(2x) = 1.4

Round to the nearest thousandth.

0.190**0.168**

–1.664

0.073

8.

Solve log (7x + 3) = 2. Round to the nearest thousandth if necessary.

0.143

97**13.857**

0.001

9.

Choose the single logarithmic expression that is equivalent to the one shown.

log3(2x)-5log3y

log3(2x-y^5)

log3(2x/5y)**log3(2x/y^5)**

log3(2x-5y)

10.

Evaluate log3 9.

1**2**

–2

3

11.

Solve log (6x + 5) = 2. Round to the nearest thousandth if necessary.

0.063

1.978**15.833**

95

12.

How is the graph of log (x – 5) translated from the graph of log x?

shifted left 5 units

shifted up 5 units**shifted right 5 units**

shifted down 5 units

95/9

13.

Write the expression as a single natural logarithm.

2 ln 8 + 2 ln y

ln 32y

ln (64 + y2)**ln 64y2**

ln 16y2

Which is the logarithmic form of 7^(5) = 16,807?

log 16,807 = 5

log 16,807 = 5 mc048-1.jpg 7

log5 16,807 = 7**log7 16,807 = 5**

15.

How is the graph of y=-(1/2)(5)^x-3 translated from the graph of y=(1/2)(5)^x?

reflected across the x-axis and 3 units left

reflected across the y-axis and 3 units down

reflected across the y-axis and 3 units right**reflected across the x-axis and 3 units down**

16.

What is the solution of the equation 14^(x) = 5? Round your answer to the nearest ten-thousandth.

1.6397

0.4472**0.6099**

0.8011

17.

Solve log 2x^(2) + 2 = 6. Round to the nearest thousandth if necessary. **50 sqrt(2), or about 70.711**

707.106

1.414

5 sqrt(2), or about 7.071

18.

Which is the exponential form of log4 x = 32?

x32 = 4**432 = x**

324 = x

4x = 32

19.

Choose the property used to rewrite the expression.

log5(6)-log5(2)=log5(3)

Product Property**Quotient Property**

Commutative Property

Power Property

20.

Solve 3 log 2x = 4. Round to the nearest thousandth if necessary.

5**10.772**

2.783

0.631

21.

Solve log (7x + 7) = 1. Round to the nearest thousandth if necessary.

2.333

0.875**0.429**

1.143

22.

Write an exponential function y = ab^x for a graph that includes (2, 24) and (3, 48).

y = 3(4)x**y = 6(2)x**

y = 2(6)x

y = 4(3)x

23.

Which function represents exponential decay?

y=35x^1.35

y=(35/0.35^x)**y=35(0.35)^x**

y=35(1.35)^x

24.

The deer population increases at a rate of 3% per year. There are 1253 deer this year. Write a function that models the deer population. About how many deer will there be in 6 years?

1044

9134**1496**

1777

25.

How is the graph of y=4(2)^(x-3) translated from the graph of y=4(2)^x?

3 units left

3 units down**3 units right**

3 units up

26.

Evaluate log6 1296. **4**

6

3

–4

27.

Use natural logarithms to solve the equation.

8e^(3x) + 9 = 13

Round to the nearest thousandth.

0.337**–0.231**

–2.838

0.058

28.

What is the solution of the equation 5^(3x) = 15? Round your answer to the nearest ten-thousandth.

2.4662

0.9542**0.5609**

1.7829

29.

Write the expression as a single natural logarithm.

2 ln x – 4 ln c

ln(c^4/x^2)**ln(x^2/c^4)**

ln(x^2+c^4)

ln(x^2-c^4)

30.

What is the solution of the equation 3 + 5^(x) = 7? Round your answer to the nearest ten-thousandth.

1.1610

2.0969

3.2579**0.8614**

31.

How is the graph of y=2(3)^(x+1)-4 translated from the graph of y=2(3)^x?

4 units left and 1 unit down**1 unit left and 4 units down**

1 unit right and 4 units up

4 units right and 1 unit up

32.

What is the solution of the equation 11 – 4^(x) = 5? Round your answer to the nearest ten-thousandth. **1.2925**

1.7737

1.1761

2.9498

33.

Graph the exponential model y=3(6)^x. Which point lies on the graph?

(-1, -18)

(2, 9)

(-9 2)**(1, 18)**

34.

How is the graph of y=4(2)^x+3 translated from the graph of y=4(2)^x?

3 units down

3 units right

3 units left**3 units up**

35.

Expand the logarithm.

log6 (4a^5

log6(4)-5log6^a

4log6(a^5

log6(4 * 5log6(a**log6(4+5log6(a**

*-multiply

Customer reply replied 4 years ago

Thank you so much! This is the last pretest, and then I have the review test of you are willing to do that one too?

Ill send the problems from the pretest in a one minute

Ill send the problems from the pretest in a one minute

Customer reply replied 4 years ago

1.

Is the following sequence arithmetic? If so, identify the common difference.

4.1, 3.8, 3.5, 3.2, . . .

No

Yes; 6

Yes; 0.6

Yes; –0.32.

Is the following sequence arithmetic? If so, identify the common difference.

–9, –6, –3, 0, . . .

No

Yes; –3

Yes; –6

Yes; 33.

Evaluate 3C1.

6

1

2

34.

What is the pattern of the following sequence?

5, 10, 20, 40, . . .

Multiply by 2.

Add 2.

Subtract 2.

Multiply by –2.5.

Does the following infinite geometric series diverge or converge? Explain.

7 + 21 + 63 + 189 + . . .

It diverges; it does not have a sum.

It converges; it has a sum.

It converges; it does not have a sum.

It diverges; it has a sum.6.

Does the following infinite geometric series diverge or converge? Explain.

(1/5) + (1/25) + (1/125) + (1/625) + . . .

It converges; it has a sum.

It diverges; it does not have a sum.

It diverges; it has a sum.

It converges; it does not have a sum7.

Does the following infinite geometric series diverge or converge? Explain.

6 + 24 + 96 + 384 + . . .

It converges; it has a sum.

It diverges; it does not have a sum.

It diverges; it has a sum.

It converges; it does not have a sum.8.

Which is the explicit formula for finding the nth term of a geometric sequence?

a*n=a*(n-1)r

a*n=a*1r^n

a*n=a*1r^(n-1)

a*n=a*1+r^n

*-means below the number like in logs ex. log6(59.

Find the next term in the sequence.

13, 15, 17, 19, ...

17

38

23

2110.

The given series has six terms. What is the sum of the terms of the series?

10 + 20 + 30 + . . . + 60

240

210

420

12011.

Find the missing term of the following sequence.

. . . –34, __, 77, . . .

14.5

–3

21.5

1712.

Twelve students ask to visit a college admissions counselor. The counselor can meet with one student at a time. In how many ways can seven time slots be assigned?

3,991,680

792

95,040

479,001,60013.

What is the explicit formula for the sequence?

3, 1, –1, –3, –5, . . .

a*n=-2n+3

a*n=n-5

a*n=2n-5

a*n=-2n+5

*-same as above14.

Which expression defines the given series for seven terms?

–4 + (–5) + (–6) + . . .

*these answers are with the greek E that I cant remember the name of. I also dont know how to upload the multiple choice for that so if you can get it off of what I said then great otherwise its fine15.

Find the 12th term in the following geometric sequence.

0.75, 1.5, 3, 6, . . .

3072

14.75

1536

16.7516.

Find the 29th term of the following sequence.

12, 14, 16, 18, . . .

66

64

70

6817.

Evaluate 5C2.

60

120

10

2018.

The given series has six terms. What is the sum of the terms of the series?

(–7) + (–9) + (–11) + . . . + (–17)

–72

–42

–32

–5219.

In how many ways can ten applicants line up for a job interview?

3,628,800

100

1

10*skip 20*21.

A disc jockey wants to select 4 songs from a new CD that contains 12 songs. How many ways can the disc jockey choose four songs?

495

11,880

40,320

19,958,40022.

The sequence is recursive. Find the value of the next term in the sequence.

8, 10, 12, 14, . . .

16

18

12

1423.

What is the recursive formula for the sequence?

15, 26, 48, 92, . . .

a*n=2a*(n-1), where a*1=15

a*n=2a*(n-1)-4, where a*1=15

a*n=2a*(n-1)-4, where a*1=92

a*n=a*(n-1)-4, where a*1=9224.

Find the common ratio for the following geometric sequence.

3, 9, 27, 81, . . .

54

6

1/3

325.

The given series has six terms. What is the sum of the terms of the series?

1 + 3 + 5 + . . . + 11

49

27

36

2026.

Use the geometric mean to find the 7th term in a geometric sequence if the 6th term is 6 and the 8th term is 216.

111

176

36

106Does the following infinite geometric series diverge or converge? Explain.

(1/5) + (1/10) + (1/20) + (1/40) + . . .

It diverges; it does not have a sum.

It converges; it does not have a sum.

It converges; it has a sum.

It diverges; it has a sum.28.

Evaluate the series 1 + 4 + 16 + 64 + 256 + 1024.

5461

1365

1364

34129.

Use the geometric mean to find the 7th term in a geometric sequence if the 6th term is 12 and the 8th term is 27.

20

17

18

19.530.

Find the 29th term of the following sequence.

2, 13, 24, 35, . . .

299

321

310

288alright there they are

Is the following sequence arithmetic? If so, identify the common difference.

4.1, 3.8, 3.5, 3.2, . . .

No

Yes; 6

Yes; 0.6

Yes; –0.32.

Is the following sequence arithmetic? If so, identify the common difference.

–9, –6, –3, 0, . . .

No

Yes; –3

Yes; –6

Yes; 33.

Evaluate 3C1.

6

1

2

34.

What is the pattern of the following sequence?

5, 10, 20, 40, . . .

Multiply by 2.

Add 2.

Subtract 2.

Multiply by –2.5.

Does the following infinite geometric series diverge or converge? Explain.

7 + 21 + 63 + 189 + . . .

It diverges; it does not have a sum.

It converges; it has a sum.

It converges; it does not have a sum.

It diverges; it has a sum.6.

Does the following infinite geometric series diverge or converge? Explain.

(1/5) + (1/25) + (1/125) + (1/625) + . . .

It converges; it has a sum.

It diverges; it does not have a sum.

It diverges; it has a sum.

It converges; it does not have a sum7.

Does the following infinite geometric series diverge or converge? Explain.

6 + 24 + 96 + 384 + . . .

It converges; it has a sum.

It diverges; it does not have a sum.

It diverges; it has a sum.

It converges; it does not have a sum.8.

Which is the explicit formula for finding the nth term of a geometric sequence?

a*n=a*(n-1)r

a*n=a*1r^n

a*n=a*1r^(n-1)

a*n=a*1+r^n

*-means below the number like in logs ex. log6(59.

Find the next term in the sequence.

13, 15, 17, 19, ...

17

38

23

2110.

The given series has six terms. What is the sum of the terms of the series?

10 + 20 + 30 + . . . + 60

240

210

420

12011.

Find the missing term of the following sequence.

. . . –34, __, 77, . . .

14.5

–3

21.5

1712.

Twelve students ask to visit a college admissions counselor. The counselor can meet with one student at a time. In how many ways can seven time slots be assigned?

3,991,680

792

95,040

479,001,60013.

What is the explicit formula for the sequence?

3, 1, –1, –3, –5, . . .

a*n=-2n+3

a*n=n-5

a*n=2n-5

a*n=-2n+5

*-same as above14.

Which expression defines the given series for seven terms?

–4 + (–5) + (–6) + . . .

*these answers are with the greek E that I cant remember the name of. I also dont know how to upload the multiple choice for that so if you can get it off of what I said then great otherwise its fine15.

Find the 12th term in the following geometric sequence.

0.75, 1.5, 3, 6, . . .

3072

14.75

1536

16.7516.

Find the 29th term of the following sequence.

12, 14, 16, 18, . . .

66

64

70

6817.

Evaluate 5C2.

60

120

10

2018.

The given series has six terms. What is the sum of the terms of the series?

(–7) + (–9) + (–11) + . . . + (–17)

–72

–42

–32

–5219.

In how many ways can ten applicants line up for a job interview?

3,628,800

100

1

10*skip 20*21.

A disc jockey wants to select 4 songs from a new CD that contains 12 songs. How many ways can the disc jockey choose four songs?

495

11,880

40,320

19,958,40022.

The sequence is recursive. Find the value of the next term in the sequence.

8, 10, 12, 14, . . .

16

18

12

1423.

What is the recursive formula for the sequence?

15, 26, 48, 92, . . .

a*n=2a*(n-1), where a*1=15

a*n=2a*(n-1)-4, where a*1=15

a*n=2a*(n-1)-4, where a*1=92

a*n=a*(n-1)-4, where a*1=9224.

Find the common ratio for the following geometric sequence.

3, 9, 27, 81, . . .

54

6

1/3

325.

The given series has six terms. What is the sum of the terms of the series?

1 + 3 + 5 + . . . + 11

49

27

36

2026.

Use the geometric mean to find the 7th term in a geometric sequence if the 6th term is 6 and the 8th term is 216.

111

176

36

106Does the following infinite geometric series diverge or converge? Explain.

(1/5) + (1/10) + (1/20) + (1/40) + . . .

It diverges; it does not have a sum.

It converges; it does not have a sum.

It converges; it has a sum.

It diverges; it has a sum.28.

Evaluate the series 1 + 4 + 16 + 64 + 256 + 1024.

5461

1365

1364

34129.

Use the geometric mean to find the 7th term in a geometric sequence if the 6th term is 12 and the 8th term is 27.

20

17

18

19.530.

Find the 29th term of the following sequence.

2, 13, 24, 35, . . .

299

321

310

288alright there they are

Got it. I will post the answer shortly and then we can move on to the review test.

1.

Is the following sequence arithmetic? If so, identify the common difference.

4.1, 3.8, 3.5, 3.2, . . .

No

Yes; 6

Yes; 0.6**Yes; –0.3**

2.

Is the following sequence arithmetic? If so, identify the common difference.

–9, –6, –3, 0, . . .

No

Yes; –3

Yes; –6**Yes; 3**

3.

Evaluate 3C1.

6

1

2**3**

4.

What is the pattern of the following sequence?

5, 10, 20, 40, . . . **Multiply by 2.**

Add 2.

Subtract 2.

Multiply by –2.

5.

Does the following infinite geometric series diverge or converge? Explain.

7 + 21 + 63 + 189 + . . . **It diverges; it does not have a sum.**

It converges; it has a sum.

It converges; it does not have a sum.

It diverges; it has a sum.

6.

Does the following infinite geometric series diverge or converge? Explain.

(1/5) + (1/25) + (1/125) + (1/625) + . . . **It converges; it has a sum.**

It diverges; it does not have a sum.

It diverges; it has a sum.

It converges; it does not have a sum

7.

Does the following infinite geometric series diverge or converge? Explain.

6 + 24 + 96 + 384 + . . .

It converges; it has a sum.**It diverges; it does not have a sum.**

It diverges; it has a sum.

It converges; it does not have a sum.

8.

Which is the explicit formula for finding the nth term of a geometric sequence?

a*n=a*(n-1)r

a*n=a*1r^n**a*n=a*1r^(n-1)**

a*n=a*1+r^n

*-means below the number like in logs ex. log6(5

9.

Find the next term in the sequence.

13, 15, 17, 19, ...

17

38

23**21**

10.

The given series has six terms. What is the sum of the terms of the series?

10 + 20 + 30 + . . . + 60

240**210**

420

120

11.

Find the missing term of the following sequence.

. . . –34, __, 77, . . .

14.5

–3**21.5**

17

12.

Twelve students ask to visit a college admissions counselor. The counselor can meet with one student at a time. In how many ways can seven time slots be assigned? **3,991,680**

792

95,040

479,001,600

13.

What is the explicit formula for the sequence?

3, 1, –1, –3, –5, . . .

a*n=-2n+3

a*n=n-5

a*n=2n-5**a*n=-2n+5**

*-same as above

14.

Which expression defines the given series for seven terms?

–4 + (–5) + (–6) + . . .

*these answers are with the greek E that I cant remember the name of. I also dont know how to upload the multiple choice for that so if you can get it off of what I said then great otherwise its fine

**There are many ways to do it. I can do this if you can upload the file. **

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15.

Find the 12th term in the following geometric sequence.

0.75, 1.5, 3, 6, . . .

3072

14.75**1536**

16.75

16.

Find the 29th term of the following sequence.

12, 14, 16, 18, . . .

66

64

70**68**

17.

Evaluate 5C2.

60

120**10**

20

18.

The given series has six terms. What is the sum of the terms of the series?

(–7) + (–9) + (–11) + . . . + (–17) **–72**

–42

–32

–52

19.

In how many ways can ten applicants line up for a job interview? **3,628,800**

100

1

10

*skip 20*

21.

A disc jockey wants to select 4 songs from a new CD that contains 12 songs. How many ways can the disc jockey choose four songs? **495**

11,880

40,320

19,958,400

22.

The sequence is recursive. Find the value of the next term in the sequence.

8, 10, 12, 14, . . . **16**

18

12

14

23.

What is the recursive formula for the sequence?

15, 26, 48, 92, . . .

a*n=2a*(n-1), where a*1=15**a*n=2a*(n-1)-4, where a*1=15**

a*n=2a*(n-1)-4, where a*1=92

a*n=a*(n-1)-4, where a*1=92

24.

Find the common ratio for the following geometric sequence.

3, 9, 27, 81, . . .

54

6

1/3**3**

25.

The given series has six terms. What is the sum of the terms of the series?

1 + 3 + 5 + . . . + 11

49

27**36**

20

26.

Use the geometric mean to find the 7th term in a geometric sequence if the 6th term is 6 and the 8th term is 216.

111

176**36**

106

Does the following infinite geometric series diverge or converge? Explain.

(1/5) + (1/10) + (1/20) + (1/40) + . . .

It diverges; it does not have a sum.

It converges; it does not have a sum.**It converges; it has a sum.**

It diverges; it has a sum.

28.

Evaluate the series 1 + 4 + 16 + 64 + 256 + 1024.

5461**1365**

1364

341

29.

Use the geometric mean to find the 7th term in a geometric sequence if the 6th term is 12 and the 8th term is 27.

20

17**18**

19.5

30.

Find the 29th term of the following sequence.

2, 13, 24, 35, . . .

299

321**310**

288

Hi, do you have any more questions?

Customer reply replied 4 years ago

Hi, sorry, let me put those in and see if I will have to do anything else for that unit and we can go from thereOkay I may have to go back and take a quiz in there but for now we can move on to the review test, Ill upload those questions now.

When do you need the answers? Is it okay if I post the answers tomorrow? I am in Eastern time zone.

Customer reply replied 4 years ago

thats fine I just need to have everything done tomorrow by 7 eastern time.

7am of 7pm?

Customer reply replied 4 years ago

pmthere is plenty of time

Okay. I will go to sleep now and start working on the problems tomorrow morning.

Customer reply replied 4 years ago

Sounds good thank you

You are welcome.

Customer reply replied 4 years ago

1.

Determine whether the function f(x)=(1/x^2) is even, odd or neither.

neither

even

odd2.

Find the exact value of the expression without the use of a calculator:

tan^-1(-1)

pi/4

-(pi/4)

-1

13.

State the various transformations applied to the base function f(x)=|x| to obtain a graph of the function (x) = |x + 1| − 2.

Horizontal shift of 1 unit to the right and a vertical shift downward of 2 units.

Horizontal shift of 1 unit to the right and a vertical shift upward of 2 units.

Horizontal shift of 1 unit to the left and a vertical shift upward of 2 units.

Horizontal shift of 1 unit to the left and a vertical shift downward of 2 units.4.

Use trigonometric expressions to build an equivalent trigonometric identity with the given expression:

(1/cos^2(x))+(1/sin^2(x))-sin^2(x)-cos^2(x)=?

sec2 (x) + csc2 (x)

tan2 (x) + 1

tan2 (x) + csc2 (x)

cot2 (x) + 1*skip 5, 6 and 7*8.

Convert the equation from Rectangular to Polar form: x = 9.

r=(3/cos(theta))

r=(1/3cos(theta))

r=(9/cos(theta))

r=(1/9cos(theta))9.

Graph the parametric curve, include the point indicated by the value of t:

*on attachment10.

Determine which graph represents the given pair of Polar equations: r = θ, r = −θ.

*on attachment11.

Solve the given equation over the interval [0,2pi):2cos^2(x)-2cos(x)+sqrt2cos(x)-sqrt2=0

x=0 and x=(3pi/4) and x= (5pi/4)

x=0 and x=(5pi/6) and x=(7pi/6)

x=0 and x=(2pi/3) and x=(4pi/3)

x=0 and x=(pi/2) and x=(3pi/2)12.

Find the dot product between the vectors u and v: u = -(5/4)i +(21/4)j and v=(8/7)i + (13/3)j

-(513/252)

(547/63)

-(547/63)

(513/252)

13.

Identify the horizontal middle of a sample period for the function: f(t)=2csc(t+(pi/4))-1 .

x = 0

x=(7pi/4)

x=(3pi/4)

x=(pi/4)14.

Find the value for sin (θ) if the following conditions hold: cos(2θ)=(3/5) and 90*<θ<180*

1/25

(sqrt5/5)

(sqrt5/25)

(2sqrt5/5)

*-degrees15.

Convert the given angle measure from degrees to radians: 90°.

(pi/4)

(pi/6)

(pi/3)

(pi/2)16.

Find the measurement of angle A.

*on attachment17.

Rewrite the complex number in polar form,

z=r(cos(θ)+isin(θ))

z = 2 = ?sqrt2(c0s(0)+isin(0))

sqrt2(cos(pi/4)+isin(pi/4))

2(cos(pi/4)+isin(pi/4))

2(cos(0)+ison(0))18.

Given f(x)=(1/x^2+9) and g(x)= sqrt(x-2), find the domain for (fog)(x)

(-*,9)U(9,*)

(-*,-9)U(-9,*)

(-*,7)U(7,*)

(-*,-7)U(7,*)

*-infinity19.

Given the relation y = x^2 − 8x + 12, identify the x- and y- axis intercepts.

x-int:(0,12); y-int:(-2,0),(-6,0)

x-int:(2,0); y-int:(0,12)

x-int:(-2,0),(-6,0); y-int:(0,12)

x-int:(0,12); y-int: (2,0),(6,0)20.

If possible, find the area of the triangle defined by the following: a = 7, b = 4, γ = 43°.

14 square units

16.8 square units

9.5 square units

19.3 square units21.

If vector v has an initial point at P1 and a terminal point at P2, write v as multiples of the basis vectors i=(1,0) and j=(0,1). That is, write v in the form v = ai + bj.

P1 = (5, 2), P2 = (7, 11) and v = ?

v = 12i + 13j

v = 16i + 9j

v = 2i + 9j

v = −2i − 9j22.

Let D = {x| x is the height above the ground} be the domain, and let ƒ(x) = “time spent on a Ferris wheel” be the possible function. Determine if the relation is an example of a function.

Yes, ƒ is a function.

No, ƒ is not a function.23.

Find a unit vector in the same direction as the given vector: v = 3i + 4 j.

u=(3/25)i+(4/25)j

u=(3/5)i+(4/5)j

u=(3/sqrt7)i+(4/sqrt7)j

Vector v = 3i + 4 j is a unit vector.24.

Given the graph, find an equation for the hyperbola.

*on attachment

25.

Solve the triangle: alpha=60*, beta=60*, gamma=60*. If it is not possible, say so.

a=sqrt3, b=sqrt3, c=sqrt3

This triangle is not solvable

.a=100, b=100, c=100,

a=1, b=1, c=126.

The function ƒ(x) = −x2 − 9 is not one-to-one. Find a portion of the domain where the function is one-to-one and find an inverse function.

The restricted domain for ƒ is [0,00) and f^-1(x)=sqrt(-x-9)

the restricted domain for f is (-00,-9] and f^-1(x)=sqrt(-x-9)

the restricted domain for f is [0,00) and f^-1(x)=-sqrt(-x-9)

the restricted domain for f is (-00,-9) and f^-1(x)=-sqrt(-x-9)27.

Identify a reflection about the x-axis or a reflection about the y-axis of ƒ(x) = x2 + 4x3 by observing the equation of the function g(x) = x2 – 4x3.

A reflection about the y-axis.

A reflection about the x-axis.28.

For the graph provided, find an equation of the ellipse.

*on attachment29.

For the function given, state the period: f(t)=6sin(3t-(pi/6)-1

(2pi/3)

(pi/3)

-1

(2pi^2/3)30.

Specify the domain for the function f(x)=sqrt((2x-1)/(3x+4))

(-00,-(1/2))U((4/3),00)

(-00,00)

(-(4/3),(1/2))

(-00,-(4/3))U((1/2),00)31.

Use the graph of f below. Assume the entire function is graphed below.

Find ƒ(3).

ƒ(3) = 1

ƒ(3) = 5

ƒ(3) = 3

ƒ(3) = -1

*graph on attachment32.

From the equation of a parabola identify the focus and directrix: (x-1)^2=4(y-1)

focus:(1,5) and Directrix: y=-3

focus: (2,1) and directrix: x=0

focus: (1,2) and directrix: y=0

focus:(5,1) and directrix: x=-333.

Determine if the two functions are inverses of one another.

f(x)=3x+2 g(x)=(x-2)/3

Yes, both functions are inverses of each other.

No, these functions fail to be inverses of each other34.

Determine the quadrant when the terminal side of the angle lies according to the following conditions: sin (t) > 0, sec (t) > 0.

Quadrant III

Quadrant IV

Quadrant I

Quadrant II

Determine whether the function f(x)=(1/x^2) is even, odd or neither.

neither

even

odd2.

Find the exact value of the expression without the use of a calculator:

tan^-1(-1)

pi/4

-(pi/4)

-1

13.

State the various transformations applied to the base function f(x)=|x| to obtain a graph of the function (x) = |x + 1| − 2.

Horizontal shift of 1 unit to the right and a vertical shift downward of 2 units.

Horizontal shift of 1 unit to the right and a vertical shift upward of 2 units.

Horizontal shift of 1 unit to the left and a vertical shift upward of 2 units.

Horizontal shift of 1 unit to the left and a vertical shift downward of 2 units.4.

Use trigonometric expressions to build an equivalent trigonometric identity with the given expression:

(1/cos^2(x))+(1/sin^2(x))-sin^2(x)-cos^2(x)=?

sec2 (x) + csc2 (x)

tan2 (x) + 1

tan2 (x) + csc2 (x)

cot2 (x) + 1*skip 5, 6 and 7*8.

Convert the equation from Rectangular to Polar form: x = 9.

r=(3/cos(theta))

r=(1/3cos(theta))

r=(9/cos(theta))

r=(1/9cos(theta))9.

Graph the parametric curve, include the point indicated by the value of t:

*on attachment10.

Determine which graph represents the given pair of Polar equations: r = θ, r = −θ.

*on attachment11.

Solve the given equation over the interval [0,2pi):2cos^2(x)-2cos(x)+sqrt2cos(x)-sqrt2=0

x=0 and x=(3pi/4) and x= (5pi/4)

x=0 and x=(5pi/6) and x=(7pi/6)

x=0 and x=(2pi/3) and x=(4pi/3)

x=0 and x=(pi/2) and x=(3pi/2)12.

Find the dot product between the vectors u and v: u = -(5/4)i +(21/4)j and v=(8/7)i + (13/3)j

-(513/252)

(547/63)

-(547/63)

(513/252)

13.

Identify the horizontal middle of a sample period for the function: f(t)=2csc(t+(pi/4))-1 .

x = 0

x=(7pi/4)

x=(3pi/4)

x=(pi/4)14.

Find the value for sin (θ) if the following conditions hold: cos(2θ)=(3/5) and 90*<θ<180*

1/25

(sqrt5/5)

(sqrt5/25)

(2sqrt5/5)

*-degrees15.

Convert the given angle measure from degrees to radians: 90°.

(pi/4)

(pi/6)

(pi/3)

(pi/2)16.

Find the measurement of angle A.

*on attachment17.

Rewrite the complex number in polar form,

z=r(cos(θ)+isin(θ))

z = 2 = ?sqrt2(c0s(0)+isin(0))

sqrt2(cos(pi/4)+isin(pi/4))

2(cos(pi/4)+isin(pi/4))

2(cos(0)+ison(0))18.

Given f(x)=(1/x^2+9) and g(x)= sqrt(x-2), find the domain for (fog)(x)

(-*,9)U(9,*)

(-*,-9)U(-9,*)

(-*,7)U(7,*)

(-*,-7)U(7,*)

*-infinity19.

Given the relation y = x^2 − 8x + 12, identify the x- and y- axis intercepts.

x-int:(0,12); y-int:(-2,0),(-6,0)

x-int:(2,0); y-int:(0,12)

x-int:(-2,0),(-6,0); y-int:(0,12)

x-int:(0,12); y-int: (2,0),(6,0)20.

If possible, find the area of the triangle defined by the following: a = 7, b = 4, γ = 43°.

14 square units

16.8 square units

9.5 square units

19.3 square units21.

If vector v has an initial point at P1 and a terminal point at P2, write v as multiples of the basis vectors i=(1,0) and j=(0,1). That is, write v in the form v = ai + bj.

P1 = (5, 2), P2 = (7, 11) and v = ?

v = 12i + 13j

v = 16i + 9j

v = 2i + 9j

v = −2i − 9j22.

Let D = {x| x is the height above the ground} be the domain, and let ƒ(x) = “time spent on a Ferris wheel” be the possible function. Determine if the relation is an example of a function.

Yes, ƒ is a function.

No, ƒ is not a function.23.

Find a unit vector in the same direction as the given vector: v = 3i + 4 j.

u=(3/25)i+(4/25)j

u=(3/5)i+(4/5)j

u=(3/sqrt7)i+(4/sqrt7)j

Vector v = 3i + 4 j is a unit vector.24.

Given the graph, find an equation for the hyperbola.

*on attachment

25.

Solve the triangle: alpha=60*, beta=60*, gamma=60*. If it is not possible, say so.

a=sqrt3, b=sqrt3, c=sqrt3

This triangle is not solvable

.a=100, b=100, c=100,

a=1, b=1, c=126.

The function ƒ(x) = −x2 − 9 is not one-to-one. Find a portion of the domain where the function is one-to-one and find an inverse function.

The restricted domain for ƒ is [0,00) and f^-1(x)=sqrt(-x-9)

the restricted domain for f is (-00,-9] and f^-1(x)=sqrt(-x-9)

the restricted domain for f is [0,00) and f^-1(x)=-sqrt(-x-9)

the restricted domain for f is (-00,-9) and f^-1(x)=-sqrt(-x-9)27.

Identify a reflection about the x-axis or a reflection about the y-axis of ƒ(x) = x2 + 4x3 by observing the equation of the function g(x) = x2 – 4x3.

A reflection about the y-axis.

A reflection about the x-axis.28.

For the graph provided, find an equation of the ellipse.

*on attachment29.

For the function given, state the period: f(t)=6sin(3t-(pi/6)-1

(2pi/3)

(pi/3)

-1

(2pi^2/3)30.

Specify the domain for the function f(x)=sqrt((2x-1)/(3x+4))

(-00,-(1/2))U((4/3),00)

(-00,00)

(-(4/3),(1/2))

(-00,-(4/3))U((1/2),00)31.

Use the graph of f below. Assume the entire function is graphed below.

Find ƒ(3).

ƒ(3) = 1

ƒ(3) = 5

ƒ(3) = 3

ƒ(3) = -1

*graph on attachment32.

From the equation of a parabola identify the focus and directrix: (x-1)^2=4(y-1)

focus:(1,5) and Directrix: y=-3

focus: (2,1) and directrix: x=0

focus: (1,2) and directrix: y=0

focus:(5,1) and directrix: x=-333.

Determine if the two functions are inverses of one another.

f(x)=3x+2 g(x)=(x-2)/3

Yes, both functions are inverses of each other.

No, these functions fail to be inverses of each other34.

Determine the quadrant when the terminal side of the angle lies according to the following conditions: sin (t) > 0, sec (t) > 0.

Quadrant III

Quadrant IV

Quadrant I

Quadrant II

Got it. I will start working on it and post the answer shortly.

1.

Determine whether the function f(x)=(1/x^2) is even, odd or neither.

neither**even**

odd

2.

Find the exact value of the expression without the use of a calculator:

tan^-1(-1)

pi/4**-(pi/4)**

-1

1

3.

State the various transformations applied to the base function f(x)=|x| to obtain a graph of the function (x) = |x + 1| − 2.

Horizontal shift of 1 unit to the right and a vertical shift downward of 2 units.

Horizontal shift of 1 unit to the right and a vertical shift upward of 2 units.

Horizontal shift of 1 unit to the left and a vertical shift upward of 2 units.**Horizontal shift of 1 unit to the left and a vertical shift downward of 2 units.**

4.

Use trigonometric expressions to build an equivalent trigonometric identity with the given expression:

(1/cos^2(x))+(1/sin^2(x))-sin^2(x)-cos^2(x)=?

sec2 (x) + csc2 (x)

tan2 (x) + 1**tan2 (x) + csc2 (x)**

cot2 (x) + 1

*skip 5, 6 and 7*

8.

Convert the equation from Rectangular to Polar form: x = 9.

r=(3/cos(theta))

r=(1/3cos(theta))**r=(9/cos(theta))**

r=(1/9cos(theta))

9.

Graph the parametric curve, include the point indicated by the value of t:

*on attachment

**(a)**

10.

Determine which graph represents the given pair of Polar equations: r = θ, r = −θ.

*on attachment

**(b)**

** **

11.

Solve the given equation over the interval [0,2pi):2cos^2(x)-2cos(x)+sqrt2cos(x)-sqrt2=0**x=0 and x=(3pi/4) and x= (5pi/4)**

x=0 and x=(5pi/6) and x=(7pi/6)

x=0 and x=(2pi/3) and x=(4pi/3)

x=0 and x=(pi/2) and x=(3pi/2)

12.

Find the dot product between the vectors u and v: u = -(5/4)i +(21/4)j and v=(8/7)i + (13/3)j

-(513/252)

(547/63)

-(547/63)

(513/252)

**Should be 597/28**

13.

Identify the horizontal middle of a sample period for the function: f(t)=2csc(t+(pi/4))-1 .

x = 0

x=(7pi/4)**x=(3pi/4)**

x=(pi/4)

14.

Find the value for sin (θ) if the following conditions hold: cos(2θ)=(3/5) and 90*<θ<180*

1/25**(sqrt5/5)**

(sqrt5/25)

(2sqrt5/5)

*-degrees

15.

Convert the given angle measure from degrees to radians: 90°.

(pi/4)

(pi/6)

(pi/3)**(pi/2)**

16.

Find the measurement of angle A.

*on attachment

**70.7**

17.

Rewrite the complex number in polar form,

z=r(cos(θ)+isin(θ))

z = 2 = ?

sqrt2(c0s(0)+isin(0))

sqrt2(cos(pi/4)+isin(pi/4))

2(cos(pi/4)+isin(pi/4))**2(cos(0)+ison(0))**

18.

Given f(x)=(1/x^2+9) and g(x)= sqrt(x-2), find the domain for (fog)(x)

(-*,9)U(9,*)

(-*,-9)U(-9,*)

(-*,7)U(7,*)

(-*,-7)U(7,*)

*-infinity

**Should be [2, 7] U(7, infinity)**

19.

Given the relation y = x^2 − 8x + 12, identify the x- and y- axis intercepts.

x-int:(0,12); y-int:(-2,0),(-6,0)

x-int:(2,0); y-int:(0,12)

x-int:(-2,0),(-6,0); y-int:(0,12)

x-int:(0,12); y-int: (2,0),(6,0)

**Should be x-int:(2,0),(6,0); y-int:(0,12)**

20.

If possible, find the area of the triangle defined by the following: a = 7, b = 4, γ = 43°.

14 square units

16.8 square units**9.5 square units**

19.3 square units

21.

If vector v has an initial point at P1 and a terminal point at P2, write v as multiples of the basis vectors i=(1,0) and j=(0,1). That is, write v in the form v = ai + bj.

P1 = (5, 2), P2 = (7, 11) and v = ?

v = 12i + 13j

v = 16i + 9j**v = 2i + 9j**

v = −2i − 9j

22.

Let D = {x| x is the height above the ground} be the domain, and let ƒ(x) = “time spent on a Ferris wheel” be the possible function. Determine if the relation is an example of a function.**Yes, ƒ is a function.**

No, ƒ is not a function.

23.

Find a unit vector in the same direction as the given vector: v = 3i + 4 j.

u=(3/25)i+(4/25)j**u=(3/5)i+(4/5)j**

u=(3/sqrt7)i+(4/sqrt7)j

Vector v = 3i + 4 j is a unit vector.

24.

Given the graph, find an equation for the hyperbola.

*on attachment

**4th**

25.

Solve the triangle: alpha=60*, beta=60*, gamma=60*. If it is not possible, say so.

a=sqrt3, b=sqrt3, c=sqrt3**This triangle is not solvable**

.a=100, b=100, c=100,

a=1, b=1, c=1

26.

The function ƒ(x) = −x2 − 9 is not one-to-one. Find a portion of the domain where the function is one-to-one and find an inverse function.**The restricted domain for ƒ is [0,00) and f^-1(x)=sqrt(-x-9)**

the restricted domain for f is (-00,-9] and f^-1(x)=sqrt(-x-9)

the restricted domain for f is [0,00) and f^-1(x)=-sqrt(-x-9)

the restricted domain for f is (-00,-9) and f^-1(x)=-sqrt(-x-9)

27.

Identify a reflection about the x-axis or a reflection about the y-axis of ƒ(x) = x2 + 4x3 by observing the equation of the function g(x) = x2 – 4x3.**A reflection about the y-axis.**

A reflection about the x-axis.

28.

For the graph provided, find an equation of the ellipse.

*on attachment

**1ST**

29.

For the function given, state the period: f(t)=6sin(3t-(pi/6)-1**(2pi/3)**

(pi/3)

-1

(2pi^2/3)

30.

Specify the domain for the function f(x)=sqrt((2x-1)/(3x+4))

(-00,-(1/2))U((4/3),00)

(-00,00)

(-(4/3),(1/2))**(-00,-(4/3))U((1/2),00)**

31.

Use the graph of f below. Assume the entire function is graphed below.

Find ƒ(3).

ƒ(3) = 1**ƒ(3) = 5**

ƒ(3) = 3

ƒ(3) = -1

*graph on attachment

32.

From the equation of a parabola identify the focus and directrix: (x-1)^2=4(y-1)

focus:(1,5) and Directrix: y=-3

focus: (2,1) and directrix: x=0**focus: (1,2) and directrix: y=0**

focus:(5,1) and directrix: x=-3

25 May 2017, 1:18 AM

Customer

33.

Determine if the two functions are inverses of one another.

f(x)=3x+2 g(x)=(x-2)/3**Yes, both functions are inverses of each other.**

No, these functions fail to be inverses of each other

34.

Determine the quadrant when the terminal side of the angle lies according to the following conditions: sin (t) > 0, sec (t) > 0.

Quadrant III

Quadrant IV**Quadrant I**

Quadrant II

Customer reply replied 4 years ago

Hi, thank you so much. The review test is done and now all I have is a quiz and post test, that I didnt test out of, then I'm done. You good to help me with those?

Please post your questions. By the way, can you let me know how much tip you are going to pay? Thanks.

Customer reply replied 4 years ago

I was thinking 40. Is that enough?I'm not sure what the norm is on here

For the amount of work can you pay $60?

Customer reply replied 4 years ago

I can do that, I will send the quiz question in a sec, I'm going to have to do them one at a time again.

Thanks.

Customer reply replied 4 years ago

Okay problem one

What is the sum of the first five terms of the series 35+30+25+...?

What is the sum of the first five terms of the series 35+30+25+...?

125

Customer reply replied 4 years ago

What is the sum of the terms of the series 6+9+12+...+30?

162

Customer reply replied 4 years ago

What is the sum of the last four terms of the series 7+9+11+... +21

72

Customer reply replied 4 years ago

Expand 6Sigma(n=3) (5n+2)6 above and n=3 below the sigma

17 + 22 + 27 + 32

Customer reply replied 4 years ago

Expand 6sigma n=1 (n-1)

0 + 1 + 2 + 3 + 4 + 5

Customer reply replied 4 years ago

which expression defines arithmetic series 2.3+2.6+2.9+... for five terms

5sigma n=1 (2+0.3n)

5sigma n=1 (2n+0.3)

5sigma n=1 (2.3+n)

5sigma n=1 (2.3n+0.3)

5sigma n=1 (2+0.3n)

5sigma n=1 (2n+0.3)

5sigma n=1 (2.3+n)

5sigma n=1 (2.3n+0.3)

1st.

Customer reply replied 4 years ago

Which expression defines the arithmetic series 3+7+11+... for eight terms?

8sigma n=1 (3n

8sigma n=1(n+3)

8sigma n=1(4n-1)

8sigma n=1 (4n-1no parentheses on the first or last

8sigma n=1 (3n

8sigma n=1(n+3)

8sigma n=1(4n-1)

8sigma n=1 (4n-1no parentheses on the first or last

The first two are wrong. The last two look like same.

Customer reply replied 4 years ago

I guessed the third and it was right

which expression defines the arithmetic series 10+7+4+... for six terms?

6sigma n=1(7n+3)

6sigma n=1 (10+3n)

6sigma n=1 (12-2n)

6sigma n=1 (13-3n)

which expression defines the arithmetic series 10+7+4+... for six terms?

6sigma n=1(7n+3)

6sigma n=1 (10+3n)

6sigma n=1 (12-2n)

6sigma n=1 (13-3n)

last.

Customer reply replied 4 years ago

Evaluate 8sigma n=3 (n+25)

183

Customer reply replied 4 years ago

last one then the post test

Evaluate 5sigma n=2 (5n=3)

Evaluate 5sigma n=2 (5n=3)

The last equal sign in "5n=3" does not seem correct.

Customer reply replied 4 years ago

it should be a + sorry

No problem. The answer is 82.

Customer reply replied 4 years ago

Okay give a few to upload the post test questionsHere are the first 10 if you want to start on those1.

Find the 29th term of the following sequence.

19.5, 19.9, 20.3, 20.7, . . .

30.7

30.3

29.9

29.52.

Suppose you find six articles related to the topic of your research paper. In how many ways can you choose four articles to read?

720

15

30

3603.

Find the common ratio for the following geometric sequence.

5, 8.5, 14.45, 24.565, . . .

17

1.7

5

3.54.

Does the following infinite geometric series diverge or converge? Explain.

6 + 24 + 96 + 384 + . . .

It converges; it does not have a sum.

It converges; it has a sum.

It diverges; it does not have a sum.

It diverges; it has a sum.5.

How many five-letter codes can be made if no letter can be used twice? (There are 26 letters in the alphabet.)

7,893,600

25

65,780

16.

Evaluate the series 4 – 2 + 1 – 0.5 + 0.25 to S*10. Round to the nearest hundredth.

–2.75

2.75

2.66

5.50

*-below s7.

Which expression defines the given series for seven terms?

9 + 17 + 25 + . . .

7sigma n=1 (2=7n)

7sigma n=1 (n+8)

7sigma n=1 (5n+4)

7sigma n=1 (1+8n)8.

Is the following sequence arithmetic? If so, identify the common difference.

18, 13, 8, 3, . . .

Yes; 5

Yes; –5

No

Yes; 109.

A disc jockey wants to select 4 songs from a new CD that contains 12 songs. How many ways can the disc jockey choose four songs?

11,880

19,958,400

40,320

49510.

Find the missing term of the following sequence.

–2, __, 2, . . .

–1

–0.5

0

1

Find the 29th term of the following sequence.

19.5, 19.9, 20.3, 20.7, . . .

30.7

30.3

29.9

29.52.

Suppose you find six articles related to the topic of your research paper. In how many ways can you choose four articles to read?

720

15

30

3603.

Find the common ratio for the following geometric sequence.

5, 8.5, 14.45, 24.565, . . .

17

1.7

5

3.54.

Does the following infinite geometric series diverge or converge? Explain.

6 + 24 + 96 + 384 + . . .

It converges; it does not have a sum.

It converges; it has a sum.

It diverges; it does not have a sum.

It diverges; it has a sum.5.

How many five-letter codes can be made if no letter can be used twice? (There are 26 letters in the alphabet.)

7,893,600

25

65,780

16.

Evaluate the series 4 – 2 + 1 – 0.5 + 0.25 to S*10. Round to the nearest hundredth.

–2.75

2.75

2.66

5.50

*-below s7.

Which expression defines the given series for seven terms?

9 + 17 + 25 + . . .

7sigma n=1 (2=7n)

7sigma n=1 (n+8)

7sigma n=1 (5n+4)

7sigma n=1 (1+8n)8.

Is the following sequence arithmetic? If so, identify the common difference.

18, 13, 8, 3, . . .

Yes; 5

Yes; –5

No

Yes; 109.

A disc jockey wants to select 4 songs from a new CD that contains 12 songs. How many ways can the disc jockey choose four songs?

11,880

19,958,400

40,320

49510.

Find the missing term of the following sequence.

–2, __, 2, . . .

–1

–0.5

0

1

1. 30.7

2. 15

3. 1.7

4. It diverges; it does not have a sum.

5. 7,893,600

6. 2.66

7. 7sigma n=1 (1+8n)

8. Yes; –5

9. 495

10. 0

Customer reply replied 4 years ago

Here are the next 10 out of 3011.

Evaluate the series 1 + 0.1 + 0.01 + . . .

2

1.11

1.12

0.3312.

Find the 10th term in the following geometric sequence.

8, 4, 2, 1, . . .

0.0078

12.5

13

0.015613.

Use the geometric mean to find the 7th term in a geometric sequence if the 6th term is 75 and the 8th term is 48.

66

57

51.5

6014.

Which is the explicit formula for finding the nth term of a geometric sequence?

a*n=a*(n-1)r

a*n=a*1=r^n

a*n=a*1r^n

a*n=a*1r^(n-1)

*-below15.

Evaluate 9C9.

81

1

9

016.

Use the geometric mean to find the 7th term in a geometric sequence if the 6th term is 18 and the 8th term is 32.

27

21

24

2517.

What is the recursive formula for the sequence?

15, 26, 48, 92, . . .

a*n=a*(n-1)-4, where a*1=92

a*n=2a*(n-1)-4, where a*1=15

a*n=2a*(n-1), where a*1=15

a*n=2a*(n-1)-4, where a*1=9218.

Find the 29th term of the following sequence.

27, 24, 21, 18, . . .

–60

–57

–63

–5419.

Does the following infinite geometric series diverge or converge? Explain.

(1/5) + (1/25) + (1/125) + (1/625) + . . .

It converges; it does not have a sum.

It diverges; it does not have a sum.

It converges; it has a sum.

It diverges; it has a sum.20.

Does the following infinite geometric series diverge or converge? Explain.

3 + 9 + 27 + 81 + . . .

It diverges; it does not have a sum.

It converges; it has a sum.

It converges; it does not have a sum.

It diverges; it has a sum.the last 1021.

A pizza restaurant offers nine choices of vegetarian toppings for pizza. In how many ways can you choose four toppings?

3024

362,880

126

15,12022.

What is the pattern of the following sequence?

13, 15, 17, 19, ...

Multiply by 2.

Add –2.

Multiply by –2.

Add 2.23.

Find the next term in the sequence.

9, 15, 21, 27, . . .

21

81

39

3324.

Write the related series for the finite sequence 1.5, 2.7, 3.9, . . ., 8.7? Then find the sum.

1.5 + 2.7 + 3.9 + 5.1 + 6.3 + 7.5 + 8.7 = 35.7

1.5 + 2.7 + 3.9 + 5.1 + 6.5 + 7.5 + 8.7 = 35.9

1.5 + 2.7 + 3.9 + 5.0 + 6.5 + 7.5 + 8.7 = 35.8

1.5 + 2.7 + 3.9 + 5.2 + 6.4 + 7.6 + 8.7 = 36.025.

Evaluate 8sigma n=1 (n)

24

36

40

826.

The given series has six terms. What is the sum of the terms of the series?

1 + 3 + 5 + . . . + 11

36

20

49

2727.

Find the 29th term of the following sequence.

12, 14, 16, 18, . . .

64

66

70

6828.

Find the next three terms in the sequence.

3, 9, 27, 81, . . .

–243, 729, –2187

243, 729, 2187

729, 2187, 6561

84, 87, 9029.

Write the related series for the finite sequence –7, –10, –13, . . ., –22. Then find the sum.

–7 + (–10) + (–13) + (–16) + (–19) + (–22) = –87

–7 + (–10) + (–13) + (–14) + (–18) + (–22) = –84

–7 + (–10) + (–13) + (–15) + (–18) + (–22) = –85

–7 + (–10) + (–13) + (–17) + (–20) + (–22) = –8930.

Find the next term in the sequence.

128, 64, 32, . . .

22

30

16

24Thats the last of it, thank you

Evaluate the series 1 + 0.1 + 0.01 + . . .

2

1.11

1.12

0.3312.

Find the 10th term in the following geometric sequence.

8, 4, 2, 1, . . .

0.0078

12.5

13

0.015613.

Use the geometric mean to find the 7th term in a geometric sequence if the 6th term is 75 and the 8th term is 48.

66

57

51.5

6014.

Which is the explicit formula for finding the nth term of a geometric sequence?

a*n=a*(n-1)r

a*n=a*1=r^n

a*n=a*1r^n

a*n=a*1r^(n-1)

*-below15.

Evaluate 9C9.

81

1

9

016.

Use the geometric mean to find the 7th term in a geometric sequence if the 6th term is 18 and the 8th term is 32.

27

21

24

2517.

What is the recursive formula for the sequence?

15, 26, 48, 92, . . .

a*n=a*(n-1)-4, where a*1=92

a*n=2a*(n-1)-4, where a*1=15

a*n=2a*(n-1), where a*1=15

a*n=2a*(n-1)-4, where a*1=9218.

Find the 29th term of the following sequence.

27, 24, 21, 18, . . .

–60

–57

–63

–5419.

Does the following infinite geometric series diverge or converge? Explain.

(1/5) + (1/25) + (1/125) + (1/625) + . . .

It converges; it does not have a sum.

It diverges; it does not have a sum.

It converges; it has a sum.

It diverges; it has a sum.20.

Does the following infinite geometric series diverge or converge? Explain.

3 + 9 + 27 + 81 + . . .

It diverges; it does not have a sum.

It converges; it has a sum.

It converges; it does not have a sum.

It diverges; it has a sum.the last 1021.

A pizza restaurant offers nine choices of vegetarian toppings for pizza. In how many ways can you choose four toppings?

3024

362,880

126

15,12022.

What is the pattern of the following sequence?

13, 15, 17, 19, ...

Multiply by 2.

Add –2.

Multiply by –2.

Add 2.23.

Find the next term in the sequence.

9, 15, 21, 27, . . .

21

81

39

3324.

Write the related series for the finite sequence 1.5, 2.7, 3.9, . . ., 8.7? Then find the sum.

1.5 + 2.7 + 3.9 + 5.1 + 6.3 + 7.5 + 8.7 = 35.7

1.5 + 2.7 + 3.9 + 5.1 + 6.5 + 7.5 + 8.7 = 35.9

1.5 + 2.7 + 3.9 + 5.0 + 6.5 + 7.5 + 8.7 = 35.8

1.5 + 2.7 + 3.9 + 5.2 + 6.4 + 7.6 + 8.7 = 36.025.

Evaluate 8sigma n=1 (n)

24

36

40

826.

The given series has six terms. What is the sum of the terms of the series?

1 + 3 + 5 + . . . + 11

36

20

49

2727.

Find the 29th term of the following sequence.

12, 14, 16, 18, . . .

64

66

70

6828.

Find the next three terms in the sequence.

3, 9, 27, 81, . . .

–243, 729, –2187

243, 729, 2187

729, 2187, 6561

84, 87, 9029.

Write the related series for the finite sequence –7, –10, –13, . . ., –22. Then find the sum.

–7 + (–10) + (–13) + (–16) + (–19) + (–22) = –87

–7 + (–10) + (–13) + (–14) + (–18) + (–22) = –84

–7 + (–10) + (–13) + (–15) + (–18) + (–22) = –85

–7 + (–10) + (–13) + (–17) + (–20) + (–22) = –8930.

Find the next term in the sequence.

128, 64, 32, . . .

22

30

16

24Thats the last of it, thank you

Got it. I will post the answer shortly.

Customer reply replied 4 years ago

great, thanks

You are welcome.

11.

Evaluate the series 1 + 0.1 + 0.01 + . . .

2**1.11**

1.12

0.33

12.

Find the 10th term in the following geometric sequence.

8, 4, 2, 1, . . .

0.0078

12.5

13**0.0156**

13.

Use the geometric mean to find the 7th term in a geometric sequence if the 6th term is 75 and the 8th term is 48.

66

57

51.5**60**

14.

Which is the explicit formula for finding the nth term of a geometric sequence?

a*n=a*(n-1)r

a*n=a*1=r^n

a*n=a*1r^n**a*n=a*1r^(n-1)**

*-below

15.

Evaluate 9C9.

81**1**

9

0

16.

Use the geometric mean to find the 7th term in a geometric sequence if the 6th term is 18 and the 8th term is 32.

27

21**24**

25

17.

What is the recursive formula for the sequence?

15, 26, 48, 92, . . .

a*n=a*(n-1)-4, where a*1=92**a*n=2a*(n-1)-4, where a*1=15**

a*n=2a*(n-1), where a*1=15

a*n=2a*(n-1)-4, where a*1=92

18.

Find the 29th term of the following sequence.

27, 24, 21, 18, . . .

–60**–57**

–63

–54

19.

Does the following infinite geometric series diverge or converge? Explain.

(1/5) + (1/25) + (1/125) + (1/625) + . . .

It converges; it does not have a sum.

It diverges; it does not have a sum.**It converges; it has a sum.**

It diverges; it has a sum.

20.

Does the following infinite geometric series diverge or converge? Explain.

3 + 9 + 27 + 81 + . . . **It diverges; it does not have a sum.**

It converges; it has a sum.

It converges; it does not have a sum.

It diverges; it has a sum.

Customer

21.

A pizza restaurant offers nine choices of vegetarian toppings for pizza. In how many ways can you choose four toppings? **3024**

362,880

126

15,120

22.

What is the pattern of the following sequence?

13, 15, 17, 19, ...

Multiply by 2.

Add –2.

Multiply by –2.**Add 2.**

23.

Find the next term in the sequence.

9, 15, 21, 27, . . .

21

81

39**33**

24.

Write the related series for the finite sequence 1.5, 2.7, 3.9, . . ., 8.7? Then find the sum. **1.5 + 2.7 + 3.9 + 5.1 + 6.3 + 7.5 + 8.7 = 35.7**

1.5 + 2.7 + 3.9 + 5.1 + 6.5 + 7.5 + 8.7 = 35.9

1.5 + 2.7 + 3.9 + 5.0 + 6.5 + 7.5 + 8.7 = 35.8

1.5 + 2.7 + 3.9 + 5.2 + 6.4 + 7.6 + 8.7 = 36.0

25.

Evaluate 8sigma n=1 (n)

24**36**

40

8

26.

The given series has six terms. What is the sum of the terms of the series?

1 + 3 + 5 + . . . + 11 **36**

20

49

27

27.

Find the 29th term of the following sequence.

12, 14, 16, 18, . . .

64

66

70**68**

28.

Find the next three terms in the sequence.

3, 9, 27, 81, . . .

–243, 729, –2187**243, 729, 2187**

729, 2187, 6561

84, 87, 90

29.

Write the related series for the finite sequence –7, –10, –13, . . ., –22. Then find the sum. **–7 + (–10) + (–13) + (–16) + (–19) + (–22) = –87**

–7 + (–10) + (–13) + (–14) + (–18) + (–22) = –84

–7 + (–10) + (–13) + (–15) + (–18) + (–22) = –85

–7 + (–10) + (–13) + (–17) + (–20) + (–22) = –89

30.

Find the next term in the sequence.

128, 64, 32, . . .

22

30**16**

24

Customer reply replied 4 years ago

Thank you so so much for all of your help!let me know that you got the tip

You are welcome. I have got the tip. Thank you.

In the future you may request me for Math and Statistics questions by adding "For John" at the beginning of your posts so that they are directed to me. Good luck in you studies.

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