AnswersTX-College Prep Math BProbability of Compound Events

Probability of Compound Events — Cumulative exam Answers

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1
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Merrida wrote the table of points below. xy2238416Which explains whether or not Merrida has described a proportional relationship, and why?

A
Merrida has described a proportional relationship. It is linear and the line passes through the origin.
B
Merrida has described a proportional relationship. It is linear and does not pass through the origin.
C
Merrida has not described a proportional relationship. Although it passes through the origin, it is not a linear relationship.
D
Merrida has not described a proportional relationship. It is not linear and does not pass through the origin.
2
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Kiesha and her classmates wrote proportions for the reduction of a triangle. Which proportions are set up correctly? Select three options.

Question illustration
A
StartFraction original height over original base EndFraction = StartFraction reduction height over reduction base EndFraction
Option A
B
StartFraction original height over reduction height EndFraction = StartFraction original base over reduction base EndFraction
Option B
C
StartFraction original height over reduction base EndFraction = StartFraction reduction height over original base EndFraction
Option C
D
StartFraction reduction height over reduction base EndFraction = StartFraction original height over original base EndFraction
Option D
E
StartFraction original height over original base EndFraction = StartFraction reduction base over reduction height EndFraction
Option E
3

The rectangle below has been reduced by a scale factor. What is the area of the original rectangle?

Question illustration
A
25 cm²
B
75 cm²
C
375 cm²
D
450 cm²
4

Theo used a map that had a ratio of to plan a road trip. He found that the distance on the map from New York City, NY, to Washington, DC, was 14.4 centimeters. How many miles would he have to drive to make that trip?

Question illustration
A
10.4
B
43.2
C
240
D
720
5

Which expression is modeled by this arrangement of tiles?

Question illustration
A
30 divided by (negative 30)
Option A
B
30 divided by (negative 3)
Option B
C
30 divided by 3
Option C
D
30 divided by 30
Option D
6

Raj was friends with his waitress so he left her a 90 percent tip.PercentsTotal90%10%100%10%10%10%10%10%10%10%10%10%10% xIf his tip was $27.54, what is the value of x in the table above?

A
$24.48
B
$24.79
C
$27.54
D
$30.60
7

The rate at which an airplane flew was . How can the unit rate be determined?

Question illustration
A
by writing an equivalent rate with a denominator of 1
B
by writing an equivalent rate with a numerator of 1
C
by writing an equivalent rate with a denominator of 2
D
by writing an equivalent rate with a numerator of 2
8

Use the information in the table to answer the question. Eitan and Asher are playing a game using two six-sided number cubes. To win the game, Eitan has to roll a sum of 11 or more. Which outcome would allow Asher to have a higher probability of winning the game? Select three options.

Question illustration
A
rolling a sum of 4
B
rolling a sum of 9
C
rolling a sum that is less than 5
D
rolling a sum that is greater than 5 but less than 7
E
rolling a sum that is greater than 9 but less than 11
9

Which statements about experimental probability are true? Select three options.

A
Experimental probability has the total number of trials in the numerator and the number of times an event occurs in the denominator.
B
Experimental probability is the same as theoretical probability.
C
An experiment to determine probability will include a number of trials.
D
A probability experiment will count the number of times an event occurs.
E
Experimental probability can be written in the form of a ratio.
10

What is the quotient?

Question illustration
A
–30
B
–6
C
6
D
30
11

Which point on the number line most closley represents ?

Question illustration
A
A
B
B
C
C
D
D
12

Norma Ann planned a rectangular courtyard, as shown in the scale drawing below.She decides to change the width, the shorter side of the courtyard, from 45 ft to 40 ft. Which expression finds the change in the scale factor?

Question illustration
A
StartFraction 5 inches over 45 feet EndFraction
Option A
B
StartFraction 40 feet over 5 inches EndFraction
Option B
C
StartFraction 45 feet over 40 feet EndFraction
Option C
D
StartFraction 40 feet over 45 feet EndFraction
Option D
13

A count went from 605 to 203. What was the approximate percent decrease? Round the numbers to find an estimate of the percent decrease.

A
The percent decrease was approximately 25%.
B
The percent decrease was approximately 33%.
C
The percent decrease was approximately 50%.
D
The percent decrease was approximately 66%.
14

Josephine was asked to make a one-fiftieth scale model of the new water tower for her town. She constructed the model that is shown below. Not drawn to scaleWhat is the height of the town’s new water tower in feet? Round to the nearest whole number.

Question illustration
A
22 feet
B
40 feet
C
63 feet
D
113 feet
15

Sales tax in Birmingham, AL, is the highest in the nation at 10 percent. Pete paid $9.44 in sales tax for an item in Birmingham, AL.PercentsTotal10%10%10%10%10%10%10%10%10%10%100%$9.44$9.44$9.44$9.44$9.44$9.44$9.44$9.44$9.44$9.44 What was the price of the item before tax was included?

A
$0.09
B
$0.94
C
$94.40
D
$103.84
16

Paloma plotted two different integers with the same absolute value on a number line. The distance between the two numbers must be

A
zero.
B
the absolute value of either number.
C
twice the distance between either number and zero.
D
the sum of the two numbers.
17

Jordan is using a six-sided number cube to predict whether people shopping in the mall arrive by car or by bus. Based on data gathered in a survey, Jordan decided that a roll of 1 or 2 would represent a person having taken the bus, while any other outcome would represent arriving by car.Which statement best describes Jordan’s simulation?

A
As Jordan conducts more trials, the percent of people predicted to take the bus will approach 17%.
B
As Jordan conducts more trials, the percent of people predicted to take the bus will approach 33%.
C
As Jordan conducts more trials, the percent of people predicted to take the bus will approach 50%.
D
As Jordan conducts more trials, the percent of people predicted to take the bus will approach 100%.
18

Maxwell used the diagram below to help determine 75% of 24. Which expression could Maxwell have used to find 75% of 24?75% of 2425%25%25%25%6666

Question illustration
A
(One-fourth) (24)
Option A
B
(One-fourth) (6)
Option B
C
(Three-fourths) (24)
Option C
D
(Three-fourths) (6)
Option D
19

Catherine has a 6-sided number cube that is numbered from 1 through 6. She plans on rolling the number cube 60 times. About how many times should she expect to roll a number that is greater than 4?

A
10
B
15
C
20
D
40
20

Renee used the values in the table to calculate simple interest. Principal$750Interest rate?Time11 yearsInterest$412.50Which interest rate is missing from Renee’s table?

A
0.05%
B
0.5%
C
5%
D
50%

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