Pre-Calculus

Have pre-calculus questions? Ask a pre-calculus tutor

Ask an Expert,

Get an Answer ASAP!

Customer Question

Question 1 Assume that the weight...

Question 1

Assume that the weight loss for the first month of a diet program varies between 6 pounds and 12 pounds, and is spread evenly over the range of possibilities, so that there is a uniform distribution. Find the probability of the given range of pounds lost. More than 11 pounds

2/3

1/6

2/3

1/6

5/6

1/7

5/6

1/7

Question 2

If z is a standard normal variable, find the probability. The probability that z lies between 0 and 3.01

0.1217

0.1217

0.9987

0.5013

0.4987

0.9987

0.5013

0.4987

Question 3

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 , which is the consumption level separating the bottom 45% from the top 55%.

1078.3

1021.7

1148.1

1087.8

1078.3

1021.7

1148.1

1087.8

Question 4

Assume that X has a normal distribution, and find the indicated probability. The mean is 60.0 and the standard deviation is 4.0. Find the probability that X is less than 53.0.

0.0802

0.5589

0.0802

0.5589

0.9599

0.0401

0.9599

0.0401

Question 5

Solve the problem. The amount of snowfall falling in a certain mountain range is normally distributed with a mean of 94 inches, and a standard deviation of 14 inches. What is the probability that the mean annual snowfall during 49 randomly picked years will exceed 96.8 inches?

0.0808

0.0026

0.0808

0.0026

0.4192

0.5808

0.4192

0.5808

Question 6

Estimate the indicated probability by using the normal distribution as an approximation to the binomial distribution. With n = 18 and p = 0.30, estimate P(6).

0.1015

0.8513

0.1958

0.1239

0.1015

0.8513

0.1958

0.1239

Question 7

Use the normal distribution to approximate the desired probability. A coin is tossed 20 times. A person, who claims to have extrasensory perception, is asked to predict the outcome of each flip in advance. She predicts correctly on 14 tosses. What is the probability of being correct 14 or more times by guessing? Does this probability seem to verify her claim?

0.4418, no

0.0582, no

0.4418, yes

0.0582, yes

Question 8

Solve the problem. The following confidence interval is obtained for a population proportion, p: 0.689 < p < 0.723. Use these confidence interval limits to find the margin of error, E.

0.017

0.706

0.017

0.706

0.018

0.034

.018

0.034

Question 9

Assume that a sample is used to estimate a population proportion p. Find the margin of error E that corresponds to the given statistics and confidence level. Round the margin of error to four decimal places. 95% confidence; n = 320, x = 60

0.0449

0.0514

0.0449

0.0514

0.0428

0.0385

0.0428

0.0385

Question 10

Use the given degree of confidence and sample data to construct a confidence interval for the population proportion p. n = 51, x = 27; 95% confidence

0.414 < p < 0.644

0.392 < p < 0.666

0.391 < p < 0.667

0.413 < p < 0.645

Question 11

Use the given data to find the minimum sample size required to estimate the population proportion. Margin of error: 0.004; confidence level: 95%; unknown

60,148

60,018

60,025

50,024

60,148

60,018

60,025

50,024

Question 12

Solve the problem. Round the point estimate to the nearest thousandth. Find the point estimate of the proportion of people who wear hearing aids if, in a random sample of 304 people, 20 people had hearing aids.

0.063

0.063

0.066

0.934

0.062

Question 13

Use the given degree of confidence and sample data to construct a confidence interval for the population proportion p. A survey of 865 voters in one state reveals that 408 favor approval of an issue before the legislature. Construct the 95% confidence interval for the true proportion of all voters in the state who favor approval.

0.471 < p < 0.472

0.435 < p < 0.508

0.438 < p < 0.505

0.444 < p < 0.500

Question 14

Solve the problem. A newspaper article about the results of a poll states: "In theory, the results of such a poll, in 99 cases out of 100 should differ by no more than 5 percentage points in either direction from what would have been obtained by interviewing all voters in the United States." Find the sample size suggested by this statement.

544

544

664

27

385

664

27

385

Question 15

Use the confidence level and sample data to find the margin of error E. Round your answer to the same number of decimal places as the sample mean unless otherwise noted. Weights of eggs: 95% confidence n = 53,

0.36 oz

0.13 oz

0.02 oz

0.16 oz

Question 16

Use the confidence level and sample data to find a confidence interval for estimating the population mu. Round your answer to the same number of decimal places as the sample mean. Test scores: n = 92, mean = 90.6, sigma = 8.9; 99% confidence

88.4 < mu < 92.8

88.8 < mu < 92.4

88.2 < mu < 93.0

89.1 < mu < 92.1

Question 17

Use the given information to find the minimum sample size required to estimate an unknown population mean mu. Margin of error: $120, confidence level: 95%, sigma = $593

133

133

94

83

66

94

83

66

Question 18

Assume that a sample is used to estimate a population mean mu. Use the given confidence level and sample data to find the margin of error. Assume that the sample is a simple random sample and the population has a normal distribution. Round your answer to one more decimal place than the sample standard deviation. 95% confidence; n = 91; x-bar = 16, s = 9.1

1.71

4.10

1.71

4.10

1.63

1.90

1.63

1.90

Question 19

Use the given degree of confidence and sample data to construct a confidence interval for the population mean mu. Assume that the population has a normal distribution. A laboratory tested twelve chicken eggs and found that the mean amount of cholesterol was 225 milligrams with s = 15.7 milligrams. Construct a 95% confidence interval for the true mean cholesterol content of all such eggs.

215.0 mg < mu < 235.0 mg

216.9 mg < mu < 233.1 mg

214.9 mg < mu < 235.1 mg

215.1 mg < mu < 234.9 mg

Question 20

Solve the problem. Find the critical value corresponding to a sample size of 3 and a confidence level of 95 percent.

7.378

5.991

0.103

0.0506

7.378

5.991

0.103

0.0506

Assume that the weight loss for the first month of a diet program varies between 6 pounds and 12 pounds, and is spread evenly over the range of possibilities, so that there is a uniform distribution. Find the probability of the given range of pounds lost. More than 11 pounds

2/3

1/6

2/3

1/6

5/6

1/7

5/6

1/7

Question 2

If z is a standard normal variable, find the probability. The probability that z lies between 0 and 3.01

0.1217

0.1217

0.9987

0.5013

0.4987

0.9987

0.5013

0.4987

Question 3

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 , which is the consumption level separating the bottom 45% from the top 55%.

1078.3

1021.7

1148.1

1087.8

1078.3

1021.7

1148.1

1087.8

Question 4

Assume that X has a normal distribution, and find the indicated probability. The mean is 60.0 and the standard deviation is 4.0. Find the probability that X is less than 53.0.

0.0802

0.5589

0.0802

0.5589

0.9599

0.0401

0.9599

0.0401

Question 5

Solve the problem. The amount of snowfall falling in a certain mountain range is normally distributed with a mean of 94 inches, and a standard deviation of 14 inches. What is the probability that the mean annual snowfall during 49 randomly picked years will exceed 96.8 inches?

0.0808

0.0026

0.0808

0.0026

0.4192

0.5808

0.4192

0.5808

Question 6

Estimate the indicated probability by using the normal distribution as an approximation to the binomial distribution. With n = 18 and p = 0.30, estimate P(6).

0.1015

0.8513

0.1958

0.1239

0.1015

0.8513

0.1958

0.1239

Question 7

Use the normal distribution to approximate the desired probability. A coin is tossed 20 times. A person, who claims to have extrasensory perception, is asked to predict the outcome of each flip in advance. She predicts correctly on 14 tosses. What is the probability of being correct 14 or more times by guessing? Does this probability seem to verify her claim?

0.4418, no

0.0582, no

0.4418, yes

0.0582, yes

Question 8

Solve the problem. The following confidence interval is obtained for a population proportion, p: 0.689 < p < 0.723. Use these confidence interval limits to find the margin of error, E.

0.017

0.706

0.017

0.706

0.018

0.034

.018

0.034

Question 9

Assume that a sample is used to estimate a population proportion p. Find the margin of error E that corresponds to the given statistics and confidence level. Round the margin of error to four decimal places. 95% confidence; n = 320, x = 60

0.0449

0.0514

0.0449

0.0514

0.0428

0.0385

0.0428

0.0385

Question 10

Use the given degree of confidence and sample data to construct a confidence interval for the population proportion p. n = 51, x = 27; 95% confidence

0.414 < p < 0.644

0.392 < p < 0.666

0.391 < p < 0.667

0.413 < p < 0.645

Question 11

Use the given data to find the minimum sample size required to estimate the population proportion. Margin of error: 0.004; confidence level: 95%; unknown

60,148

60,018

60,025

50,024

60,148

60,018

60,025

50,024

Question 12

Solve the problem. Round the point estimate to the nearest thousandth. Find the point estimate of the proportion of people who wear hearing aids if, in a random sample of 304 people, 20 people had hearing aids.

0.063

0.063

0.066

0.934

0.062

Question 13

Use the given degree of confidence and sample data to construct a confidence interval for the population proportion p. A survey of 865 voters in one state reveals that 408 favor approval of an issue before the legislature. Construct the 95% confidence interval for the true proportion of all voters in the state who favor approval.

0.471 < p < 0.472

0.435 < p < 0.508

0.438 < p < 0.505

0.444 < p < 0.500

Question 14

Solve the problem. A newspaper article about the results of a poll states: "In theory, the results of such a poll, in 99 cases out of 100 should differ by no more than 5 percentage points in either direction from what would have been obtained by interviewing all voters in the United States." Find the sample size suggested by this statement.

544

544

664

27

385

664

27

385

Question 15

Use the confidence level and sample data to find the margin of error E. Round your answer to the same number of decimal places as the sample mean unless otherwise noted. Weights of eggs: 95% confidence n = 53,

0.36 oz

0.13 oz

0.02 oz

0.16 oz

Question 16

Use the confidence level and sample data to find a confidence interval for estimating the population mu. Round your answer to the same number of decimal places as the sample mean. Test scores: n = 92, mean = 90.6, sigma = 8.9; 99% confidence

88.4 < mu < 92.8

88.8 < mu < 92.4

88.2 < mu < 93.0

89.1 < mu < 92.1

Question 17

Use the given information to find the minimum sample size required to estimate an unknown population mean mu. Margin of error: $120, confidence level: 95%, sigma = $593

133

133

94

83

66

94

83

66

Question 18

Assume that a sample is used to estimate a population mean mu. Use the given confidence level and sample data to find the margin of error. Assume that the sample is a simple random sample and the population has a normal distribution. Round your answer to one more decimal place than the sample standard deviation. 95% confidence; n = 91; x-bar = 16, s = 9.1

1.71

4.10

1.71

4.10

1.63

1.90

1.63

1.90

Question 19

Use the given degree of confidence and sample data to construct a confidence interval for the population mean mu. Assume that the population has a normal distribution. A laboratory tested twelve chicken eggs and found that the mean amount of cholesterol was 225 milligrams with s = 15.7 milligrams. Construct a 95% confidence interval for the true mean cholesterol content of all such eggs.

215.0 mg < mu < 235.0 mg

216.9 mg < mu < 233.1 mg

214.9 mg < mu < 235.1 mg

215.1 mg < mu < 234.9 mg

Question 20

Solve the problem. Find the critical value corresponding to a sample size of 3 and a confidence level of 95 percent.

7.378

5.991

0.103

0.0506

7.378

5.991

0.103

0.0506

Show More

Show Less

Was this answer helpful?

A new question is answered every 9 seconds

How JustAnswer works:

- Ask an ExpertExperts are full of valuable knowledge and are ready to help with any question. Credentials confirmed by a Fortune 500 verification firm.
- Get a Professional AnswerVia email, text message, or notification as you wait on our site. Ask follow up questions if you need to.
- 100% Satisfaction GuaranteeRate the answer you receive.

Ask-a-doc Web sites: If you've got a quick question, you can try to get an answer from sites that say they have various specialists on hand to give quick answers... Justanswer.com.

JustAnswer.com...has seen a spike since October in legal questions from readers about layoffs, unemployment and severance.

Web sites like justanswer.com/legal

...leave nothing to chance.

...leave nothing to chance.

Traffic on JustAnswer rose 14 percent...and had nearly 400,000 page views in 30 days...inquiries related to stress, high blood pressure, drinking and heart pain jumped 33 percent.

Tory Johnson, GMA Workplace Contributor, discusses work-from-home jobs, such as JustAnswer in which verified Experts answer people’s questions.

I will tell you that...the things you have to go through to be an Expert are quite rigorous.

Wonderful service, prompt, efficient, and accurate. Couldn't have asked for more. I cannot thank you enough for your help.

Freshfield, Liverpool, UK

This expert is wonderful. They truly know what they are talking about, and they actually care about you. They really helped put my nerves at ease. Thank you so much!!!!

Los Angeles, CA

Thank you for all your help. It is nice to know that this service is here for people like myself, who need answers fast and are not sure who to consult.

Hesperia, CA

I couldn't be more satisfied! This is the site I will always come to when I need a second opinion.

Kernersville, NC

Just let me say that this encounter has been entirely professional and most helpful. I liked that I could ask additional questions and get answered in a very short turn around.

Woodstock, NY

Thank you so much for taking your time and knowledge to support my concerns. Not only did you answer my questions, you even took it a step further with replying with more pertinent information I needed to know.

Elkton, Maryland

He answered my question promptly and gave me accurate, detailed information. If all of your experts are half as good, you have a great thing going here.

Dallas, TX

< Previous | Next >

Mr. Gregory White

Master's Degree

153 satisfied customers

M.A., M.S. Education / Educational Administration

mhasan420

Master's Degree

37 satisfied customers

BA Maths, Oxford

JACUSTOMER-yrynbdjl-

Master's Degree

13 satisfied customers

I have taught college Mathematics for the past 10 years.

Mr. GLENN

Math/Stat Expert

111 satisfied customers

math professor for at least 15 yrs

Martin

Physicist

45 satisfied customers

20+ years of research, engineering and teaching

manas11

Bachelor's Degree

12 satisfied customers

Tutor & Engineer

Math-John

PhD in Statistics

212 satisfied customers

MS and BS in Math.

< Previous | Next >

Related Pre-Calculus Questions

Use the given zero to completely factor P(x) into linear

Use the given zero to completely factor P(x) into linear factors. zero: 3-i; P(x)=x^4 - 6x^3 + 14x^2 -24x + 40and alsoFind the polynomial of lowest degree having leading coefficient 1, real coefficien… read more

Show how to solve this problem step by step. "You are

Please show how to solve this problem step by step. "You are designing a rectangular birthday card for a friend. You want the card's length to be 1 inch more than twice the card's width. The area of t… read more

NOT GLENN Any other Expert: Please show how to solve this

NOT GLENN Any other Expert: Please show how to solve this problem step by step. "You are designing a rectangular birthday card for a friend. You want the card's length to be 1 inch more than twice the… read more

Find the maturity value of $1,400 borrowed at 8 1/8% simple

Find the maturity value of $1,400 borrowed at 8 1/8% simple interest for 3 years. (Round your answer to the nearest cent.) FV = $… read more

Find the maturity value of $2,720 borrowed at 13 1/4% simple

Find the maturity value of $2,720 borrowed at 13 1/4% simple interest for 275 days. (Round your answer to the nearest cent.) FV = $… read more

I would like to request help with this statistics excel

Hello, I would like to request help with this statistics excel assignment. I have done all the excel instructions, I just need help with all the analysis questions. It's about correlation and linear r… read more

I'm having a problem with 2homework questions: Would you

I'm having a problem with 2homework questions: JA: The Pre-Calculus Tutor can help you get an A on your homework or ace your next test. Tell me more about what you need help with so we can help you be… read more

In one month you had both a raise and a $250 bonus for

In one month you had both a raise and a $250 bonus for exceeding your goals by 10%. Your old paycheck gross was $2,300, with a net pay of $1,791. This month your paycheck gross was $2,711.How much was… read more

Floors are being refinished in an office. If the room is a

Wood floors are being refinished in an office. If the room is a square with 15 foot 6 inch sides, what will it cost to have the floor refinished at $5.98 per square foot?… read more

A pump will pump 125 gallons per minute. How will it take to

A pump will pump 125 gallons per minute. How long will it take to empty a 12,000 gallon tank?… read more

Employees are painting a boat. One uses ¾ gallon of paint

employees are painting a boat. One uses ¾ gallon of paint each hour, one uses 1 ⅔ gallon of paint every 2 hours.How much paint will they use in 4 hours?… read more

Your business makes custom baby quilts. You plan to sell

Your business makes custom baby quilts. You plan to sell your quilts online and have a choice of two web companies that you can sell your quilts through. Company A charges an online store fee of $75 p… read more

At $1.25 per square foot, what is the cost of cleaning a rug

At $1.25 per square foot, what is the cost of cleaning a rug with dimensions 9 feet 3 inches by 6 feet 9 inches?… read more

The Fox TV network is considering replacing one of its

The Fox TV network is considering replacing one of its prime-time crime investigation shows with a new family-oriented comedy show. Before a final decision is made, network executives commission a sam… read more

Division with Scientific Notation 4 x 10^4 -------------

Division with Scientific Notation 4 x 10^4 ------------- over 3.63 x 10^-4 Write answer in scientific notation, thank you.… read more

Provide formulas and definitions for any variables, as well

Please provide formulas and definitions for any variables, as well as showing work for the two questions below. Thank you.Every two years you increase annual spend by $100. Assuming Year 1 you start o… read more

1. Of the employees who work at Stalling Printing, 90%

1. Of the employees who work at Stalling Printing, 90% attended the safety procedures meeting. If 63 employees attended the meeting, how many employees work at Stalling Printing? A. 128 B. 57 C. 143 D… read more

Algebra 1 Without graphing, determine the vertex of the

Algebra 1 Without graphing, determine the vertex of the graph of each function.y=x^2+6y=3x^2-8y=(x-4)^2y=(x-2)^2+1y=2(x+2)^2-5… read more

Disclaimer: Information in questions, answers, and other posts on this site ("Posts") comes from individual users, not JustAnswer; JustAnswer is not responsible for Posts. Posts are for general information, are not intended to substitute for informed professional advice (medical, legal, veterinary, financial, etc.), or to establish a professional-client relationship. The site and services are provided "as is" with no warranty or representations by JustAnswer regarding the qualifications of Experts. To see what credentials have been verified by a third-party service, please click on the "Verified" symbol in some Experts' profiles. JustAnswer is not intended or designed for EMERGENCY questions which should be directed immediately by telephone or in-person to qualified professionals.

Disclaimer: Information in questions, answers, and other posts on this site ("Posts") comes from individual users, not JustAnswer; JustAnswer is not responsible for Posts. Posts are for general information, are not intended to substitute for informed professional advice (medical, legal, veterinary, financial, etc.), or to establish a professional-client relationship. The site and services are provided "as is" with no warranty or representations by JustAnswer regarding the qualifications of Experts. To see what credentials have been verified by a third-party service, please click on the "Verified" symbol in some Experts' profiles. JustAnswer is not intended or designed for EMERGENCY questions which should be directed immediately by telephone or in-person to qualified professionals.