AnswersVA-Mathematical AnalysisStep Functions

Step Functions — Cumulative exam Answers

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A survey was taken of children between the ages of 3 and 7. Let A be the event that the person has 2 siblings, and let B be the event that the person does not have a pet.

Question illustration
A
A and B are independent events because P(A∣B) = P(A) = 0.18.
B
A and B are independent events because P(A∣B) = P(A) = 0.4.
C
A and B are not independent events because P(A∣B) = 0.4 and P(A) = 0.18.
D
A and B are not independent events because P(A∣B) = 0.18 and P(A) = 0.4.
42
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Four speed skaters, Marco, Naim, Oliver, and Pedro, compete in a relay race where they all agree that Naim will be the last skater. Then, they try to decide whether or not Oliver should be the first skater in the race.Which subset, A, of the sample space shows the complement of the event in which Oliver is the first skater in the race?

A
A = {MOPN, PMON}
B
A = {OPMN, OMPN}
C
A = {MOPN, MPON, OPMN, POMN}
D
A = {MOPN, MPON, PMON, POMN}
43

Which expression is equivalent to ?

Question illustration
A
mc004-2.jpg
Option A
B
mc004-3.jpg
Option B
C
mc004-4.jpg
Option C
D
mc004-5.jpg
Option D
44

Which of the following is a valid probability distribution?

A
A 2-column table labeled Probability Distribution A has 4 rows. The first column is labeled x with entries 1, 2, 3, 4. The second column is labeled P (x) with entries 0.42, 0.38, 0.13, 0.07.
Option A
B
A 2-column table labeled Probability Distribution B has 4 rows. The first column is labeled x with entries 1, 2, 3, 4. The second column is labeled P (x) with entries 0.27, 0.28, 0.26, 0.27.
Option B
C
A 2-column table labeled Probability Distribution C has 4 rows. The first column is labeled x with entries 1, 2, 3, 4. The second column is labeled P (x) with entries 0.16, 0.39, 0.18, 0.17.
Option C
D
A 2-column table labeled Probability Distribution D has 4 rows. The first column is labeled x with entries 1, 2, 3, 4. The second column is labeled P (x) with entries 0.63, 0.12, 0.14, 0.13.
Option D
45

A four-person committee is chosen from a group of eight boys and six girls.If students are chosen at random, what is the probability that the committee consists of all boys?

A
StartFraction 4 Over 1001 EndFraction
Option A
B
StartFraction 15 Over 1001 EndFraction
Option B
C
Option
Option C
D
Option
Option D
46

Which expression is equivalent to ? Assume .

Question illustration
A
a Superscript 9 Baseline b Superscript 6
Option A
B
a Superscript 9 Baseline b Superscript 12
Option B
C
StartFraction 1 Over a cubed b squared EndFraction
Option C
D
StartFraction a Superscript 29 Baseline b Superscript 6 Baseline EndFraction
Option D
47

Which expression is equivalent to the following complex fraction?

Question illustration
A
StartFraction (y + 1) (y minus 1) Over y squared EndFraction
Option A
B
StartFraction y + 1 Over y minus 1 EndFraction
Option B
C
StartFraction y minus 1 Over y + 1 EndFraction
Option C
D
StartFraction y squared Over (y + 1) (y minus 1) EndFraction
Option D
48

Jalen solved the equation by graphing. Which graph can Jalen use to show his solution?

Question illustration
A
mc014-2.jpg
Option A
B
mc014-3.jpg
Option B
C
mc014-4.jpg
Option C
D
mc014-5.jpg
Option D
49

What is the quotient?

Question illustration
A
(t + 3) squared
Option A
B
(t + 4) squared
Option B
C
StartFraction 1 Over (t + 4) squared EndFraction
Option C
D
StartFraction 1 Over (t + 3) squared EndFraction
Option D
50

What is the solution to the inequality ?

Question illustration
A
mc024-2.jpg
Option A
B
mc024-3.jpg
Option B
C
mc024-4.jpg
Option C
D
mc024-5.jpg
Option D

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