AnswersCREDIT RE-SEAT MNPS Integrated Math III IC S2 25-26Cumulative Exam

Cumulative Exam — Cumulative exam Answers

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A regular pentagon has side lengths of 14.1 centimeters and an apothem with length 12 centimeters.

Question illustration
A
288 cm2
B
342 cm2
C
432 cm2
D
691 cm2
22
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Which graph shows this set of transformations applied to the parent cosine function? l A reflection across the x-axis l A shift of 2 units up l A vertical compression by a factor of 0.5

A
On a coordinate plane, a cosine curve has a maximum value of 2.5 and a minimum value of 1.5. It crosses the y-axis at (0, 2.5) at its maximum point.
Option A
B
On a coordinate plane, a cosine curve has a maximum value of 2.5 and a minimum value of 1.5. It crosses the y-axis at (0, 1.5) at its minimum point.
Option B
C
On a coordinate plane, a cosine curve has a maximum value of 2.5 and a minimum value of 1.5. It crosses the y-axis at (0, 22) at its midpoint.
Option C
D
On a coordinate plane, a cosine curve has a maximum value of 2.5 and a minimum value of 1.5. It crosses the y-axis at (0, 2) at its midpoint.
Option D
23

A security alarm requires a four-digit code. The code can use the digits 0–9 and the digits cannot be repeated.What is the approximate probability that the code only contains odd numbers?

A
0.0005
B
0.00099
C
0.012
D
0.02381
24

Omar recorded the number of hours he worked each week for a year. Below is a random sample that he took from his data.13, 17, 9, 21What is the standard deviation for the data?Standard deviation:

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A
0
B
4.4
C
5.2
D
26.7
25

Researchers compare the body composition of cattle feeding on a grain diet with that of cattle feeding on a grass diet. This method of gathering data is classified as

A
a census.
B
a sample survey.
C
an experiment.
D
an observational study.
26

Law of sines:

Question illustration
A
c = StartFraction (3) sine (40 degrees) Over sine (45 degrees) EndFraction
Option A
B
c = StartFraction (3) sine (45 degrees) Over sine (40 degrees) EndFraction
Option B
C
c = StartFraction sine (40 degrees) Over (3) sine (45 degrees) EndFraction
Option C
D
c = StartFraction sine (45 degrees) Over (3) sine (40 degrees)
Option D
27

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
28

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.

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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.
29

Triangle A B C is shown. Angle B C A is a right angle. The length of C B is 5 inches and the length of C A is 7 inches.

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A
1.4° and 88.6°
B
18.6° and 71.4°
C
35.5° and 54.5°
D
44.4° and 45.6°
30

Which transformations are needed to change the parent sine function to ?

Question illustration
A
vertical stretch of , horizontal stretch to a period of 2p, phase shift of units to the left
Option A
B
vertical compression of , horizontal compression to a period of , phase shift of units to the left
Option B
C
vertical stretch of 4, horizontal stretch to a period of 8p, phase shift of units to the right
Option C
D
vertical compression of 4, horizontal compression to a period of , phase shift of units to the right
Option D
31

The College Board states that the average math SAT score is 514 with a standard deviation of 117. Colleen gathered data from 50 students in her graduating class and found the average score to be 529. She thinks that her class’s math SAT score is different from the average. Which of the following shows the correct z-statistic for this situation?

A
0.02
B
0.91
C
1.26
D
5.67
32

Triangles Q R S and X Y Z are shown. Angles Q S R and X Z Y are right angles. Angles Q R S and X Y Z are congruent. The length of Y Z is 9, the length of X Z is 12, and the length of hypotenuse X Y is 15.

Question illustration
A
Three-fifths
Option A
B
Three-fourths
Option B
C
Four-fifths
Option C
D
Four-thirds
Option D
33

Law of cosines: a2 = b2 + c2 – 2bccos(A)

Question illustration
A
10
B
12
C
13
D
14
34

The distance between city A and city B is 22 miles. The distance between city B and city C is 54 miles. The distance between city A and city C is 51 miles.

A
an acute triangle, because 222 + 542 >512
B
an acute triangle, because 222 + 512 >542
C
an obtuse triangle, because 222 + 542 >512
D
an obtuse triangle, because 222 + 512 >542
35

The displacement, d, in millimeters of a tuning fork as a function of time, t, in seconds can be modeled with the equation . What is the frequency of the tuning fork?

Question illustration
A
Hz
Option A
B
Hz
Option B
C
1760 Hz
D
3520 Hz
36

Helen has 48 cubic inches of clay to make a solid square right pyramid with a base edge measuring 6 inches.

Question illustration
A
3 inches
B
4 inches
C
5 inches
D
6 inches
37

Which solution finds the value of x in the triangle below?

Question illustration
A
Secant 60 degrees = StartFraction 8 Over x EndFraction. 2 = StartFraction 8 Over x EndFraction. 2 x = 8. x = 4.
Option A
B
Cosecant 60 degrees = StartFraction 8 Over x EndFraction. StartFraction 2 StartRoot 3 EndRoot Over 3 EndFraction = StartFraction 8 Over x EndFraction. x times 2 StartRoot 3 EndRoot = 24. x = StartFraction 24 Over 2 StartRoot 3 EndRoot EndFraction. x = StartFraction 12 Over StartRoot 3 EndRoot EndFraction times StartFraction StartRoot 3 EndRoot Over StartRoot 3 EndRoot EndFraction. x = StartFraction 12 StartRoot 3 EndRoot Over 3 EndFraction. x = 4 StartRoot 3 EndRoot.
Option B
C
Secant 60 degrees = StartFraction 8 Over x EndFraction. One-half = StartFraction 8 Over x Endfraction. x = 16
Option C
D
Cosecant 60 degrees = StartFraction 8 Over x EndFraction. StartFraction StartRoot 3 EndRoot Over 2 EndFraction = StartFraction 8 Over x EndFraction. x times StartRoot 3 EndRoot = 16. x = StartFraction 16 Over StartRoot 3 EndRoot EndFraction. x = StartFraction 16 Over StartRoot 3 EndRoot EndFraction times StartFraction StartRoot 3 EndRoot Over StartRoot 3 EndRoot EndFraction. x = StartFraction 16 StartRoot 3 EndRoot Over 3 EndFraction.
Option D
38

Given that , what is the value of ?

Question illustration
A
Plus-or-minus StartRoot eight-thirds EndFraction
Option A
B
Plus-or-minus StartRoot eleven-eighths EndFraction
Option B
C
Eleven-eighths
Option C
D
Eight-thirds
Option D
39

For which value of is csc () undefined?

Question illustration
A
0
B
StartFraction pi Over 2 EndFraction
Option B
C
StartFraction 3 pi Over 2 EndFraction
Option C
D
StartFraction 7 pi Over 2 EndFraction
Option D
40

Iliana is painting a picture. She has green, red, yellow, purple, orange, and blue paint. She wants her painting to have four different colors.If order does not matter, in how many ways can she pick four colors if green must be one of them?

A
4
B
6
C
10
D
15

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