MAT 101 Quizlet Final Exam Review
-$.50 - ANS-A game is played using one die. If the die is rolled and shows 1, 2, 4, or 6, the
player loses $6; if 3, the player wins $8; if 5, the player wins $13. What is the game's expected
value?
-3 - ANS-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
.03 or 1/30 - ANS-Performers, A, B, C, D, E, and F are to appear in a fund raiser. The order of
performance is determined by random selection. Find the probability that E will perform fifth and
B will perform last.
.04 - ANS-Three people are randomly selected from 3 Teachers, 2 Students and 6
Administrators. Find the probability that the first two people selected are Teachers and the third
is an Administrator.
.23 or 3/13 - ANS-You are dealt one card from a standard 52 card deck. Find the probability of
being dealt a card greater than 2 and less than 6.
.33 or 1/3 - ANS-A letter is randomly selected from the alphabet. Find the probability of
selecting a vowel, given that the outcome is a letter that proceeds j (round to the nearest
hundredth).
.5 - ANS-A student scores 70 on a science test. The score for the test is normally distributed.
The test has a mean of 60 and a standard deviation of 20. Calculate the z-score for the science
test.
*Frequency Distribution Table (Check with instructor) - ANS-Create a frequency distribution of
the following data: 10, 15, 12, 11, 10, 16, 13, 11, 11, 15, 18, 18, 18, 11, 12, 13, 16, 15, 12, 1
*Venn Diagram (ask your professor to check your answer) - ANS-Results from a survey of 18
people: 8 like blue, 11 like green, & 3 like pink. 3 like blue & green, 2 like green & pink, and 1
likes blue & pink. 1 person likes all 3. Draw a Venn Diagram to depict the results of the survey.
∈ - ANS-This symbol is used to indicate that an object is an element of a set.
$1,090.77 - ANS-A home is $195,000. The bank requires a 20% down payment and two points
at closing. The loan is a 30-year fixed-rate mortgage at 7.5%. Find the monthly payment.
$1,148 - ANS-If the local sales tax rate is 3.5% and you purchase a car for $32,800, how much
tax will you pay?
, $1,598.42 - ANS-If the sum of unpaid balances for each day in the billing period adds up to
$49,551 and there are 31 days in the month, what is the average daily balance (rounded to the
nearest hundredths place).
$1.00 - ANS-A game is played using one die. If the die is rolled and shows 1, 2, or 3, the player
loses $2; if 4 or 5, the player wins $3; if 6, the player wins $6. What is the game's expected
value?
$16.30 - ANS-If the monthly interest rate is 1.3% and the average daily balance is $1,254, what
would the interest be for the month (rounded to the nearest hundredths place)?
$2.50 - ANS-Solve the following expected value equation:
E = (-$1)(2/6) + ($4)(3/6) + ($5)(1/6)
$40 - ANS-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.
$59.92 - ANS-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?
$603.92 - ANS-Suppose you decide to borrow $20,000 for a new car. You select a three-year
loan at 5.5%. Find your monthly payment
$87,180 - ANS-A woman earned wages of $87,200, received $2,680 in interest from a savings
account, won $500 from the lotto, and contributed $3,200 to a tax-deferred savings plan. What
is her adjusted gross income?
$9,573.44 - ANS-You deposit $8000 in a savings account that has a rate of 6%.
The interest is compounded monthly. How much will you have after 3 years (round to the
nearest cent)?
$9,860 - ANS-If the down payment of a $68,000 home is 14.5%, how much is the down
payment?
$90,380 - ANS-A woman earned wages of $87,200, received $2,680 in interest from a savings
account, won $500 from the lotto, and contributed $3,200 to a tax-deferred savings plan. What
is her gross income?
1 - ANS-An event is certain to occur if the probability is ____?
1,104 - ANS-(9!/6! + 6P5) - 10C3
2 - ANS-Calculate the mode of the following data: 4, 6, 2, 11, 75, 62, 44, 2
-$.50 - ANS-A game is played using one die. If the die is rolled and shows 1, 2, 4, or 6, the
player loses $6; if 3, the player wins $8; if 5, the player wins $13. What is the game's expected
value?
-3 - ANS-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
.03 or 1/30 - ANS-Performers, A, B, C, D, E, and F are to appear in a fund raiser. The order of
performance is determined by random selection. Find the probability that E will perform fifth and
B will perform last.
.04 - ANS-Three people are randomly selected from 3 Teachers, 2 Students and 6
Administrators. Find the probability that the first two people selected are Teachers and the third
is an Administrator.
.23 or 3/13 - ANS-You are dealt one card from a standard 52 card deck. Find the probability of
being dealt a card greater than 2 and less than 6.
.33 or 1/3 - ANS-A letter is randomly selected from the alphabet. Find the probability of
selecting a vowel, given that the outcome is a letter that proceeds j (round to the nearest
hundredth).
.5 - ANS-A student scores 70 on a science test. The score for the test is normally distributed.
The test has a mean of 60 and a standard deviation of 20. Calculate the z-score for the science
test.
*Frequency Distribution Table (Check with instructor) - ANS-Create a frequency distribution of
the following data: 10, 15, 12, 11, 10, 16, 13, 11, 11, 15, 18, 18, 18, 11, 12, 13, 16, 15, 12, 1
*Venn Diagram (ask your professor to check your answer) - ANS-Results from a survey of 18
people: 8 like blue, 11 like green, & 3 like pink. 3 like blue & green, 2 like green & pink, and 1
likes blue & pink. 1 person likes all 3. Draw a Venn Diagram to depict the results of the survey.
∈ - ANS-This symbol is used to indicate that an object is an element of a set.
$1,090.77 - ANS-A home is $195,000. The bank requires a 20% down payment and two points
at closing. The loan is a 30-year fixed-rate mortgage at 7.5%. Find the monthly payment.
$1,148 - ANS-If the local sales tax rate is 3.5% and you purchase a car for $32,800, how much
tax will you pay?
, $1,598.42 - ANS-If the sum of unpaid balances for each day in the billing period adds up to
$49,551 and there are 31 days in the month, what is the average daily balance (rounded to the
nearest hundredths place).
$1.00 - ANS-A game is played using one die. If the die is rolled and shows 1, 2, or 3, the player
loses $2; if 4 or 5, the player wins $3; if 6, the player wins $6. What is the game's expected
value?
$16.30 - ANS-If the monthly interest rate is 1.3% and the average daily balance is $1,254, what
would the interest be for the month (rounded to the nearest hundredths place)?
$2.50 - ANS-Solve the following expected value equation:
E = (-$1)(2/6) + ($4)(3/6) + ($5)(1/6)
$40 - ANS-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.
$59.92 - ANS-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?
$603.92 - ANS-Suppose you decide to borrow $20,000 for a new car. You select a three-year
loan at 5.5%. Find your monthly payment
$87,180 - ANS-A woman earned wages of $87,200, received $2,680 in interest from a savings
account, won $500 from the lotto, and contributed $3,200 to a tax-deferred savings plan. What
is her adjusted gross income?
$9,573.44 - ANS-You deposit $8000 in a savings account that has a rate of 6%.
The interest is compounded monthly. How much will you have after 3 years (round to the
nearest cent)?
$9,860 - ANS-If the down payment of a $68,000 home is 14.5%, how much is the down
payment?
$90,380 - ANS-A woman earned wages of $87,200, received $2,680 in interest from a savings
account, won $500 from the lotto, and contributed $3,200 to a tax-deferred savings plan. What
is her gross income?
1 - ANS-An event is certain to occur if the probability is ____?
1,104 - ANS-(9!/6! + 6P5) - 10C3
2 - ANS-Calculate the mode of the following data: 4, 6, 2, 11, 75, 62, 44, 2
