MAT 101 FINAL COMPREHENSIVE TEST PAPER
QUESTIONS AND SOLUTIONS
◉ 98.
Answer: The scores on a test are normally distributed with a mean
of 83 and a standard deviation of 5. Find the score that is 3 standard
deviations above the mean.
◉ 56.
Answer: Male adult heights in North America are normally
distributed with a mean of 64 inches and a standard deviation of 4
inches. Find the height that is 2 standard deviations below the mean.
◉ -3.
Answer: A set of data items is normally distributed with a mean of
50 and a standard deviation of 5. Convert the following data item to
a z-score: 35
◉ 83.3%.
Answer: What is 5/6 as a percent rounded to the nearest tenth?
◉ Income Tax.
, Answer: _____ is a percentage of your income collected by the
government to fund its services and programs.
◉ $1,148.
Answer: If the local sales tax rate is 3.5% and you purchase a car for
$32,800, how much tax will you pay?
◉ $59.92.
Answer: Suppose that the local sales tax is 7% and you purchase a
really cool, fun math book...for $56. What is the book's total cost?
◉ 39.4%.
Answer: A hoodie regularly sells for $35. The sale price is $21.21.
Find the percent decrease of the sale price from the regular price
(round to the nearest tenth).
◉ I = Prt.
Answer: The formula for simple interest is?
◉ $40.
Answer: You win $2,000 in the lottery and put it right in a savings
account. Your interest rate on is 2%. Calculate the simple interest
over one year.
QUESTIONS AND SOLUTIONS
◉ 98.
Answer: The scores on a test are normally distributed with a mean
of 83 and a standard deviation of 5. Find the score that is 3 standard
deviations above the mean.
◉ 56.
Answer: Male adult heights in North America are normally
distributed with a mean of 64 inches and a standard deviation of 4
inches. Find the height that is 2 standard deviations below the mean.
◉ -3.
Answer: A set of data items is normally distributed with a mean of
50 and a standard deviation of 5. Convert the following data item to
a z-score: 35
◉ 83.3%.
Answer: What is 5/6 as a percent rounded to the nearest tenth?
◉ Income Tax.
, Answer: _____ is a percentage of your income collected by the
government to fund its services and programs.
◉ $1,148.
Answer: If the local sales tax rate is 3.5% and you purchase a car for
$32,800, how much tax will you pay?
◉ $59.92.
Answer: Suppose that the local sales tax is 7% and you purchase a
really cool, fun math book...for $56. What is the book's total cost?
◉ 39.4%.
Answer: A hoodie regularly sells for $35. The sale price is $21.21.
Find the percent decrease of the sale price from the regular price
(round to the nearest tenth).
◉ I = Prt.
Answer: The formula for simple interest is?
◉ $40.
Answer: You win $2,000 in the lottery and put it right in a savings
account. Your interest rate on is 2%. Calculate the simple interest
over one year.