AnswersPA-Geometry B-CRThree-Dimensional Figures and Cross Sections

Three-Dimensional Figures and Cross Sections — Unit test Answers

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3

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}
6

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.
8

Will surveyed students at his school about whether they have ever gone snowboarding and whether they own a skateboard. He found that 35 of the 99 students who own a skateboard have snowboarded. Also, there were 13 students who have snowboarded but do not own a skateboard, and 147 students who have never gone snowboarding and do not own a skateboard.

A
A 4-column table has 3 rows. The first column has entries skateboard, no skateboard, total. The second column is labeled have snowboarded with entries 35, 64, 99. The third column is labeled never snowboarded with entries 13, 147, 160. The fourth column is labeled Total with entries 48, 211, 256.
Option A
B
A 4-column table has 3 rows. The first column has entries skateboard, no skateboard, total. The second column is labeled have snowboarded with entries 35, 13, 48. The third column is labeled never snowboarded with entries 99, 147, 246. The fourth column is labeled Total with entries 134, 160, 294.
Option B
C
A 4-column table has 3 rows. The first column has entries skateboard, no skateboard, total. The second column is labeled have snowboarded with entries 35, 13, 48. The third column is labeled never snowboarded with entries 64, 147, 211. The fourth column is labeled Total with entries 99, 160, 259.
Option C
D
A 4-column table has 3 rows. The first column has entries skateboard, no skateboard, total. The second column is labeled have snowboarded with entries 35, 99, 134. The third column is labeled never snowboarded with entries 13, 147, 160. The fourth column is labeled Total with entries 48, 246, 294.
Option D
9

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.
B
A and B are independent events because P(A∣B) = P(A) = 0.75.
C
A and B are not independent events because P(A∣B) = 0.16 and P(A) = 0.75.
D
A and B are not independent events because P(A∣B) = 0.75 and P(A) = 0.16.
10

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.
12

A 5-column table has 4 rows. The first column has entries A, B, C, Total. The second column is labeled X with entries 10, 110, 60, 180. The third column is labeled Y with entries 80, 44, 59, 183. The fourth column is labeled Z with entries 61, 126, 110, 297. The fifth column is labeled Total with entries 151, 280, 229, 660.

Question illustration
A
Z and B are independent events because P(Z∣B) = P(Z).
B
Z and B are independent events because P(Z∣B) = P(B).
C
Z and B are not independent events because P(Z∣B) ≠ P(Z).
D
Z and B are not independent events because P(Z∣B) ≠ P(B).
17

Which probabilities are correct? Select two options.

A
P(A|C) =
Option A
B
P(C|B) =
Option B
C
P(A) =
Option C
D
P(C) =
Option D
E
P(B|A) =
Option E
18

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
20

Evaluate the expression.

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

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