Cumulative Exam — Cumulative exam Answers

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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
62
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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
63

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
64

David is a statistician. He has a sample size of 40 (which he cannot change). What element of his hypothesis test can he adjust to minimize the probability that he incorrectly rejects the null hypothesis?

A
the mean of the population
B
the mean of the sample
C
the standard deviation of the population
D
the significance level of the test
65

Which is equivalent to cos-1(0)? Give your answer in radians.

A
0
B
Option
Option B
C
Option
Option C
D
Option
Option D
66

What is the solution of ?

Question illustration
A
x = 5
B
x = 13
C
x = 20
D
x = 328
67

What is the determinant of ?

Question illustration
A
20
B
40
C
60
D
80
68

Which of the following shows the true solution to the logarithmic equation

Question illustration
A
x = negative 1
Option A
B
x = 1
Option B
C
and
Option C
D
, , and
Option D
69

According to the Fundamental Theorem of Algebra, how many roots exist for the polynomial function?f(x) = (x3 – 3x + 1)2

A
2 roots
B
3 roots
C
6 roots
D
9 roots
70

The polynomial equation has complex roots . What is the other root? Use a graphing calculator and a system of equations.

Question illustration
A
–9
B
–1
C
0
D
1
71

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

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