Calculus and Above

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Customer Question

The host of a dinner...

The host of a dinner party purchases wine based on the weighted average of clarity (10%), bouquet (5%), friendliness to the palate (5%), storage ability of opened bottles (40%), and price (40%). Suppose that Bone Ranch Wave has scores in these categories of 4, 5, 3, 8, and 9, respectively. What is its rating?

A. 5.80

B. 5.00

C. 7.60

D. None of the previous

2Use the range rule of thumb to approximate the standard deviation.

22,29, 21, 24, 27, 28, 25, 38

A. 3.50

B. 4.0

C. 4.25

D. 2.8

The federal government requires a car manufacturer to have a minimum miles per gallon (mpg) average over the models it makes. Suppose that the average mpg for the four models manufactured is 24 mpg and the government standard is 31 mpg. The manufacturer will add a model. What mileage must the new model get so that the manufacturer meets the government requirement?

A. 32 mpg

B. 38 mpg

C. 59 mpg

D. None of the above

Suppose that there are 400 students in your school class. What class rank is the 20th percentile?

A. 80

B. 40

C. 20

D. None of the above

A softball player has a batting average of exactly .300 and no more than

60 times at bat. Suppose this player gets 5 hits in her next 6 times at

bat. What is the highest possible average she could now have?

A. .500

B. .833

C. .348

D. There is insufficient information to answer the question

The federal government requires a car manufacturer to have a minimum miles per gallon (mpg) average over the models it makes. Suppose that the mpg’s for the five models of a manufacturer are 19, 21, 22, 28, and 18, and the government requirement is 27 mpg. The last of the models is to be redesigned to meet the government requirement. What must the new mpg of this model be to meet the requirement?

A. 27 mpg

B. 29 mpg

C. 30 mpg

D. 54 mpg

Find the standard deviation for the given data. Round your answer to one more decimal place than the original data.

15, 42, 53, 7, 9, 12, 14, 28, 47

A. 29.1

B. 16.6

C. 17.8

D. 15.8

A. 5.80

B. 5.00

C. 7.60

D. None of the previous

2Use the range rule of thumb to approximate the standard deviation.

22,29, 21, 24, 27, 28, 25, 38

A. 3.50

B. 4.0

C. 4.25

D. 2.8

The federal government requires a car manufacturer to have a minimum miles per gallon (mpg) average over the models it makes. Suppose that the average mpg for the four models manufactured is 24 mpg and the government standard is 31 mpg. The manufacturer will add a model. What mileage must the new model get so that the manufacturer meets the government requirement?

A. 32 mpg

B. 38 mpg

C. 59 mpg

D. None of the above

Suppose that there are 400 students in your school class. What class rank is the 20th percentile?

A. 80

B. 40

C. 20

D. None of the above

A softball player has a batting average of exactly .300 and no more than

60 times at bat. Suppose this player gets 5 hits in her next 6 times at

bat. What is the highest possible average she could now have?

A. .500

B. .833

C. .348

D. There is insufficient information to answer the question

The federal government requires a car manufacturer to have a minimum miles per gallon (mpg) average over the models it makes. Suppose that the mpg’s for the five models of a manufacturer are 19, 21, 22, 28, and 18, and the government requirement is 27 mpg. The last of the models is to be redesigned to meet the government requirement. What must the new mpg of this model be to meet the requirement?

A. 27 mpg

B. 29 mpg

C. 30 mpg

D. 54 mpg

Find the standard deviation for the given data. Round your answer to one more decimal place than the original data.

15, 42, 53, 7, 9, 12, 14, 28, 47

A. 29.1

B. 16.6

C. 17.8

D. 15.8

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