AnswersMathematics III ABinomial Distribution

Binomial Distribution — Cumulative exam Answers

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1
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Consider the system of linear equations and the matrix equations below. What is the value of x in the equation?

Question illustration
A
-36
B
3
C
7
D
64
2
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For what value of x does ?

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A
1
B
3
C
12
D
no solution
3

What are the potential solutions of

Question illustration
A
mc019-2.jpg
Option A
B
mc019-3.jpg
Option B
C
mc019-4.jpg
Option C
D
mc019-5.jpg
Option D
4

If , what is the value of c?

Question illustration
A
1
B
2
C
3
D
5
5

What is the following sum?

Question illustration
A
4 x (RootIndex 3 StartRoot 2 y EndRoot) + 12 x squared y (RootIndex 3 StartRoot 2 y squared EndRoot)
Option A
B
8 x (RootIndex 3 StartRoot x y EndRoot) + 12 x cubed y squared (RootIndex 3 StartRoot 6 y EndRoot)
Option B
C
16 x cubed y (RootIndex 3 StartRoot 2 y squared EndRoot)
Option C
D
48 x cubed y (RootIndex 3 StartRoot 2 y EndRoot)
Option D
6

Which equation is represented by the graph below?

Question illustration
A
y = one-eighth e Superscript x
Option A
B
y = one-half e Superscript x
Option B
C
y = 2 e Superscript x
Option C
D
y = 8 e Superscript x
Option D
7

What is the product? Assume

Question illustration
A
3 x StartRoot 5 EndRoot + 3 StartRoot 165 x EndRoot + 10 StartRoot 6 EndRoot
Option A
B
3 x StartRoot 5 EndRoot + 6 StartRoot 10 x EndRoot + 5 StartRoot 3 x EndRoot + 10 StartRoot 6 EndRoot
Option B
C
3 x StartRoot 5 EndRoot + 10 StartRoot 6 EndRoot
Option C
D
StartRoot 3 x EndRoot + 5 StartRoot 3 x EndRoot + 10 StartRoot 6 EndRoot
Option D
8

Which graph represents ?

Question illustration
A
On a coordinate plane, a cubic function is shown. It has a point of inflection at x = negative 3 and it crosses the x-axis at x = negative 1.
Option A
B
On a coordinate plane, a cubic function is shown. It has a point of inflection at x = negative 3 and it crosses the x-axis at x = negative 5.
Option B
C
On a coordinate plane, a cubic function is shown. It has a point of inflection at x = 6 and it crosses the x-axis at x = 7.
Option C
D
On a coordinate plane, a cubic function is shown. It has a point of inflection at x = 6 and it crosses the x-axis at x = 5.
Option D
9

In the triangle below, represents which ratio?

Question illustration
A
tanB
B
tanC
C
sinB
D
cosC
10

Which of the following matrices does not have an inverse?

A
mc009-1.jpg
Option A
B
mc009-2.jpg
Option B
C
mc009-3.jpg
Option C
D
mc009-4.jpg
Option D
11

What is the solution of ?

Question illustration
A
–8
B
–6
C
8
D
9
12

What is the simplified form of the following expression?

Question illustration
A
2 StartRoot 2 EndRoot
Option A
B
5 StartRoot 2 EndRoot
Option B
C
9 StartRoot 2 EndRoot
Option C
D
15 StartRoot 2 EndRoot
Option D
13

A supervisor finds the mean number of miles that the employees in a department live from work. He finds and . Which mileage is within a z-score of -1.5?

Question illustration
A
21 miles
B
24 miles
C
36 miles
D
41 miles
14

The graph of a logarithmic function is shown below.What is the domain of the function?

Question illustration
A
x < 0
B
x > 0
C
x < 1
D
all real numbers
15

Which set of transformations is needed to graph f(x) = –0.1cos(x) – 4 from the parent cosine function?

A
reflection across the y-axis, vertical compression by a factor of 0.1, vertical translation 4 units up
B
reflection across the x-axis, vertical compression by a factor of 0.1, vertical translation 4 units down
C
vertical stretching by a factor of 0.1, vertical translation 4 units down, reflection across the y-axis
D
vertical stretching by a factor of 0.1, vertical translation 4 units up, reflection across the x-axis
16

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:

Question illustration
A
0
B
4.4
C
5.2
D
26.7
17

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
18

What is written as a single logarithm?

Question illustration
A
log Subscript 2 Baseline left-bracket StartFraction x cubed Over (StartFraction 3 Over x + 4 EndFraction) EndFraction Right-bracket
Option A
B
log Subscript 2 Baseline (StartFraction 3 x cubed Over x + 4 EndFraction)
Option B
C
log Subscript 2 Baseline left-bracket (StartStartFraction x cubed Over 3 EndFraction) Over x + 4 EndEndFraction Right-bracket
Option C
D
log Subscript 2 Baseline (StartFraction x cubed Over 3 + (x + 4) EndFraction)
Option D
19

The height of the equilateral triangle below is 15 units. What is the value of x?

Question illustration
A
15 StartRoot 3 EndRoot
Option A
B
30 StartRoot 3 EndRoot
Option B
C
StartFraction 15 Over StartRoot 3 EndRoot EndFraction
Option C
D
StartFraction 30 Over StartRoot 3 EndRoot
Option D
20

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

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