Practice Exam Answers

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4

An international calling plan charges 45 cents per minute or fraction of a minute for each call. Which graph models the cost, y , in cents of making x minutes of international calls?

A
Image with description On a coordinate plane, the x axis is labeled as minutes and the y axis is labeled as cost. The x axis ranges from 0 to 10 in increments of 1. The y axis ranges from negative 0 to 450 in increments of 45. The graph has 10 stepwise arrangements starting from (0 comma 45). Each step has an open circle, a line segment, and a closed circle, and all are connected. The first step begins at (0 comma 45) with a closed circle and ends at (1 comma 45) with an open circle. Each step goes from left to right. The last step has a closed circle at (9 comma 450) and an open circle at (10 comma 450).
B
Image with description On a coordinate plane, the x axis is labeled as minutes and the y axis is labeled as cost. The x axis ranges from 0 to 10 in increments of 1. The y axis ranges from negative 0 to 54 in increments of 1 with a line break. The graph has 10 stepwise arrangements starting from (0 comma 45). Each step has an open circle, a line segment, and a closed circle, and all are connected. The first step begins at (0 comma 45) with a closed circle and ends at (1 comma 45) with an open circle. Each step goes from left to right. The last step has a closed circle at (9 comma 54) and an open circle at (10 comma 54).
C
Image with description On a coordinate plane, the x axis is labeled as minutes and the y axis is labeled as cost. The x axis ranges from 0 to 10 in increments of 1. The y axis ranges from negative 0 to 450 in increments of 45. The graph has 10 stepwise arrangements starting from (0 comma 45). Each step has an open circle, a line segment, and a closed circle, and all are connected. The first step begins at (0 comma 45) with an open circle and ends at (1 comma 45) with a closed circle. Each step goes from left to right. The last step has an open circle at (9 comma 450) and a closed circle at (10 comma 450).
D
Image with description On a coordinate plane, the x axis is labeled as minutes and the y axis is labeled as cost. The x axis ranges from 0 to 10 in increments of 1. The y axis ranges from negative 0 to 54 in increments of 1 with a line break. The graph has 10 stepwise arrangements starting from (0 comma 45). Each step has an open circle, a line segment, and a closed circle, and all are connected. The first step begins at (0 comma 45) with an open circle and ends at (1 comma 45) with a closed circle. Each step goes from left to right. The last step has an open circle at (9 comma 54) and a closed circle at (10 comma 54).
8

A textbook company states that the average time a student needs to take a quiz from its book is 30 minutes with a standard deviation of 3 minutes. A teacher using the book is not sure that this is correct for her classes and wants to check. She collects data on 10 random students and finds that the average time to take the quiz was only 25 minutes. As a result, the teacher performs a two-tailed hypothesis test with a significance level of 5 percent Which conclusion is valid based on the results of the test?

A
Her students, on average, do not take 30 minutes on the quiz, contrary to what the textbook company stated.
B
The teacher does not have enough information to make a conclusion about the average time on the test.
C
Her students, on average, do take the 30 minutes as the textbook company stated.
D
The teacher should pick up all unfinished quizzes at 25 minutes because her students are so much faster than average.
11

Which function has a maximum with the same maximum value as f of x is equal to negative start absolute value x plus 3 end absolute value minus 2 ?

A
f of x is equal to open paren x plus 3 close paren squared minus 2
B
f of x is equal to negative open paren x minus 6 close paren squared minus 3
C
f of x is equal to square root of x plus 3 end root minus 3
D
f of x is equal to negative square root of x plus 6 end root minus 2
12

What is the following product? Assume y is greater than or equal to 0 3 square root of 10 open paren y squared square root of 4 plus square root of 8 y close paren

A
6 square root of 10 plus 12 square root of 5 y
B
6 y squared square root of 10 plus 4 square root of 5 y
C
6 y squared square root of 10 plus 12 square root of 5 y
D
3 y squared square root of 10 plus 12 square root of 5 y
15

Jerome solved the equation by graphing. the log base 2 of x plus log sub 2 of open paren x minus 2 close paren is equal to 3 Which of the following shows the correct system of equations and solution?

A
y sub 1 is equal to the fraction with numerator log x and denominator log 2 plus the fraction with numerator the log of open paren x minus 2 close paren and denominator log 2 , y sub 2 is equal to 3 ; x is equal to 4
B
y sub 1 is equal to log x plus the log of open paren x minus 2 close paren , y sub 2 is equal to 3 ; x is equal to 33
C
y sub 1 is equal to log x plus the log of open paren x minus 2 close paren , y sub 2 is equal to 3 ; x is equal to 44
D
y sub 1 is equal to the fraction with numerator log x and denominator log 2 plus the fraction with numerator the log of open paren x minus 2 close paren and denominator log 2 , y sub 2 is equal to 3 ; x is equal to 3
16

If you are given the graph of g of x is equal to the log base 2 of x , how could you graph f of x is equal to the log base 2 of x plus 5 ?

A
Translate each point of the graph of g x 5 units down.
B
Translate each point of the graph of g x 5 units up.
C
Translate each point of the graph of g x 5 units right.
D
Translate each point of the graph of g x 5 units left.
17

Voluntary sampling is one type of sampling method that is not probability based. This means that

A
the results of the survey are not mathematically probable.
B
each member of a population is equally likely to be chosen for the survey.
C
the results of the survey cannot reliably be extended and generalized.
D
the likelihood of a member of the population volunteering to be surveyed is not probable.
20

Given the function f of x is equal to negative 5 start absolute value x plus 1 end absolute value plus 3 , for what values of x is f of x is equal to negative 12 ?

A
x is equal to negative 2 , x is equal to 4
B
x is equal to 2 , x is equal to 4
C
x is equal to negative 2 , x is equal to negative 4
D
x is equal to 2 , x is equal to negative 4

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