AnswersAR-Algebra II BUnit Test

Unit Test — Unit test Answers

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Eight identical slips of paper, each containing one number from one to eight, inclusive, are mixed up inside a bag. Subset A of the sample space represents the complement of the event in which the number 6 is drawn from the bag.Which shows subset A?

A
A = {6}
B
A = {1, 3, 5, 7}
C
A = {1, 2, 3, 4, 5, 7, 8}
D
A = {1, 2, 3, 4, 5, 6, 7, 8}
2
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A spinner is divided into eight equal-sized sections, numbered from 1 to 8, inclusive.What is true about spinning the spinner one time? Select three options.S = {1, 2, 3, 4, 5, 6, 7, 8}If A is a subset of S, A could be {1, 2, 3}.If A is a subset of S, A could be {7, 8, 9}.If a subset A represents spinning a number less than 4,then A = {1, 2, 3, 4}.If a subset A represents the complement of spinning an odd number, then A = {2, 4, 6, 8}.

A
S = {1, 2, 3, 4, 5, 6, 7, 8}
B
If A is a subset of S, A could be {1, 2, 3}.
C
If A is a subset of S, A could be {7, 8, 9}.
D
If a subset A represents spinning a number less than 4,then A = {1, 2, 3, 4}.
E
If a subset A represents the complement of spinning an odd number, then A = {2, 4, 6, 8}.
3

The graph below is used by company 2 to show the average monthly electric cost based on the electricity provider.How could the graph be redrawn so that the difference in monthly electric cost does not appear as great?

Question illustration
A
The scale on the y-axis could be changed to 0–150.
B
The scale on the y-axis could be changed to 100–120.
C
The interval on the y-axis could be changed to count by 1s.
D
The interval on the y-axis could be changed to count by 20s.
4

The stem-and-leaf plot below shows the number of pages each student in a class read the previous evening.Which statement is true about the data set?

Question illustration
A
Its median is greater than its mode.
B
It has a range of 52 pages.
C
The value of the first quartile is 13.
D
The data is symmetric.
5

Alejandro wants to determine the average shoe size of all of the male students in his school. Which sample is likely to yield the most biased results?

A
every tenth boy on the school’s phone list
B
every member of the boys’ basketball team
C
every boy in a randomly selected ninth-, tenth-, eleventh-, and twelfth-grade gym class
D
every fifth boy who walks through the front doors of the school in the morning
6

Nico wanted to determine the number of students in his school who buy school lunch. He walked around the cafeteria one lunch period looking to see whether every fifth person in the cafeteria purchased lunch or brought their own.

A
survey
B
simulation
C
experiment
D
observational study
7

Christina is randomly choosing three movies to take on vacation from nine action movies, seven science fiction movies, and four comedies. Which statement is true?

A
The probability that Christina will choose three comedies can be expressed as .
Option A
B
The probability that Christina will choose three action movies can be expressed as .
Option B
C
The probability that Christina will not choose all comedies can be expressed as 1 − .
Option C
D
The probability that Christina will not choose all action movies can be expressed as 1 − .
Option D
8

The number of text messages that Reza sent each day so far in this billing cycle is shown on the dot plot.

Question illustration
A
The data is symmetric and shows that he typically sent about 6 to 8 text messages per day.
B
The data is symmetric and shows that he sent 11 or 12 texts with the same frequency that he sent 1 or 2 texts.
C
The data is skewed and shows that he typically sent about 6 to 8 text messages per day.
D
The data is skewed and shows that he sent 11 or 12 texts with the same frequency that he sent 1 or 2 texts.
9

Kira looked through online census information to determine the average number of people living in the homes in her city. What is true about Kira’s data collection?

A
Kira used an observational study where the data is qualitative.
B
Kira used an observational study where the data is quantitative.
C
Kira used published data that is qualitative.
D
Kira used published data that is quantitative.
10

A random number generator is used to create a list of 300 single-digit numbers. Of those 300 numbers, 146 are odd and 154 are even. The number 8 was generated 22 times.What is the experimental probability of an even number other than 8 being generated? Write your answer as a decimal to the nearest hundredths place.

0
0.23
0
0.35
0
0.44
0
0.52
11

Which of the following could be classified as a census?

A
a survey of a percentage of each state’s population about voting choices
B
a survey of each student in a school about school lunch options
C
a survey of all the children in a supermarket to determine the favorite cereal brands of the general population
D
a survey of all the women on Main Street to determine the current movie preferences of all people over age 20
12

A poll asks shoppers at the mall how many cups of water they typically drink in a day. The results of the poll are listed below.3, 5, 5, 6, 6, 6, 7, 7, 8, 8, 8, 8, 8, 8, 9, 9, 10, 10, 10, 10, 11What is value of the first quartile?

A
3
B
6
C
8
D
11
13

A market research company wants to collect opinions on the comfort and performance of a new type of sneaker by Brand X. Which group of individuals would be the best choice for a random sample?

A
ask every fourth person on the street
B
ask every fourth person who is wearing that brand of sneaker
C
ask every fourth employee from the Brand X flagship store
D
ask every fourth person who is wearing shoes
14

Charles owns a catering business. The amount his 10 most recent clients spent is shown in the histogram below. Why is the graph misleading?

Question illustration
A
The x-axis scale shows the data is more clustered than it actually is.
B
The y-axis scale shows the data is more skewed than it actually is.
C
The scales are different on the x-axis and the y-axis.
D
The data is not distributed equally across the x-axis intervals.
15

Which measure would be the most appropriate to describe the center of the data in the histogram below?

Question illustration
A
mean
B
range
C
median
D
interquartile range
16

A survey was taken of a random sampling of residents of New York City and Los Angeles to compare how many of them own a car.Which statement about the two-way frequency table is true?

Question illustration
A
The survey represents quantitative data.
B
There is a greater percentage of LA residents who own a car than NYC residents who do.
C
The total number of people in the poll who own a car is 4,120.
D
More people in the poll own a car than do not own a car.
17

A representative from plan 1 wants to use the graph below to sell health plans for his company. How might the graph be redrawn to emphasize the difference between the cost per doctor visit for each of the three plans?

Question illustration
A
The scale on the y-axis could be changed to 0–100.
B
The scale on the y-axis could be changed to 25–40.
C
The interval of the y-axis could be changed to count by 5s.
D
The interval of the y-axis could be changed to count by 20s.
18

Four runners, Fran, Gloria, Haley, and Imani, compete on a relay team. Haley is the first runner in the relay. The other runners can run in any order.What is the sample space showing the possible orders of the other three runners?

S
S = {FGI, GFI, IFG}
S
S = {FGI, FIG, GFI, GIF}
S
S = {FGI, FIG, GFI, GIF, IFG, IGF}
S
S = {FGI, FIG, GFI, GIF, HFG, HGI, IFG, IGF}
19

Irina’s basketball team has a 1 in 6 chance of winning the first-place trophy. She rolled a six-sided number cube repeatedly, assigning her team a number from 1 to 6 to demonstrate the probability that her team would win.

s
survey
s
simulation
e
experiment
o
observational study

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