AnswersSLPS-1207350-Mathematics for College Liberal Arts S1 - ICFinding Outcomes

Week 16 Test Answers

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two

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P
P(A|C) =
Option P
P
P(C|B) =
Option P
P
P(A) =
Option P
P
P(C) =
Option P
P
P(B|A) =
Option P
2
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The spinner is equally likely to land on any of the six sections.

Question illustration
A
Two-ninths
Option A
B
One-half
Option B
C
Two-thirds
Option C
D
Five-sixths
Option D
3

Sonji bought a combination lock that opens with a four-digit number created using the digits 0 through 9. The same digit cannot be used more than once in the combination.If Sonji wants the last digit to be a 7 and the order of the digits matters, how many ways can the remaining digits be chosen?

A
84
B
504
C
3,024
D
60,480
4

Find P(C|Y) from the information in the table.

Question illustration
0
0.4
0
0.5
0
0.7
0
0.8
5

Pedro has determined that the probability his shot will score in a lacrosse game is 0.30.What is the probability that he will score on two consecutive shots?

A
0.09
B
0.15
C
0.30
D
0.60
6

James surveyed people at school and asked whether they bring their lunch to school or buy their lunch at school more often. The results are shown below.Bring lunch: 46 males, 254 femalesBuy lunch: 176 males, 264 females

A
P(buys lunch | male) = P(male) = 0.4.
B
P(male | buys lunch) = P(male) = 0.3.
C
P(buys lunch | male) = 0.3 and P(male) = 0.4.
D
P(male | buys lunch) = 0.4 and P(male) = 0.3.
7

Alejandro surveyed his classmates to determine who has ever gone surfing and who has ever gone snowboarding. Let A be the event that the person has gone surfing, and let B be the event that the person has gone snowboarding.

Question illustration
A
A and B are independent events because P(A∣B) = P(A) = 0.16.
A
A and B are independent events because P(A∣B) = P(A) = 0.75.
A
A and B are not independent events because P(A∣B) = 0.16 and P(A) = 0.75.
A
A and B are not independent events because P(A∣B) = 0.75 and P(A) = 0.16.
8

Jillian has three different bracelets (X, Y, and Z) to give to her friends as gifts in any order she prefers. If bracelet Y is chosen first, in how many ways can Jillian give out the bracelets?

A
1
B
2
C
3
D
4
9

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}.
10

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
11

The diagram shows the number of children who have ever used motorized scooters, manual scooters, and/or bicycles.

Question illustration
A
motor ⋃ manual
B
motor ⋃ bicycle
C
motor ∩ manual
D
motor ∩ bicycle
12

Consider U = {x|x is a positive integer greater than 1}.Which is an empty set?

A
{x|x ∈ U and is prime}
Option A
B
{x|x ∈ U and 2x is prime}
C
{x|x ∈ U and can be written as a fraction}
Option C
D
{x|x ∈ U and 2x can be written as a fraction}
13

Which events are mutually exclusive? Select two options.

A
landing on a shaded portion and landing on an even number
B
landing on a shaded portion and landing on a number greater than 3
C
landing on a shaded portion and landing on a 3
D
landing on an unshaded portion and landing on an odd number
E
landing on an unshaded portion and landing on a number less than 2
14

Evaluate the expression.

Question illustration
A
3
B
6
C
60,480
D
362,874
15

The Venn diagram shows the number of patients seen at a pediatrician’s office in one week for colds, C, ear infections, E, and allergies, A.

Question illustration
A
24
B
27
C
36
D
40
16

Consider the sets below.A {x|x is a polygon}B {x|x is a triangle}Which is true?

A
A ⊂ B
B
B ⊂ A
C
Ac = B
D
Bc = A
17

Bart found 20 quadrilaterals in his classroom. He made a Venn diagram using the properties of the quadrilaterals, comparing those with four equal side lengths (E) and those with four right angles (R).

Question illustration
2
25%
3
33%
4
40%
6
67%
18

The cable company is analyzing the data from two satellite television providers to determine whether their users spend more time watching live television or shows that have been recorded.Satellite Company X: 89 live, 430 recordedSatellite Company Y: 65 live, 94 recorded

A
41%
B
59%
C
77%
D
83%
19

Brent’s after-school game club has 12 members from which a six-member team is created. Miguel’s after-school sports club has 10 members from which a six-member team is created.Which student’s club has more possible combinations for his six-member team?

A
Brent’s club has more possible team combinations because he has fewer members on each team than Miguel’s does.
B
Brent’s club has more possible team combinations because there are more members to choose from.
C
Miguel’s club has more possible team combinations because there are fewer members in his club.
D
Miguel’s club has more possible team combinations because he has more members on each team than Brent does.
20

In a standard deck of cards there are 13 spades, 13 clubs, 13 hearts, and 13 diamonds. The spades and the clubs are black and the hearts and the diamonds are red.If two cards are chosen at random from a deck, one at a time, and replaced after each pick, what is the probability that a black card is chosen first and a heart is chosen second?

A
One-eighth
Option A
B
One-half
Option B
C
Two-thirds
Option C
D
Three-fourths
Option D

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