Which of the following is the mean of the test scores listed below? 99, 93, 67, 48, 92, 87

A. 67

B. 48

C. 99

D. 81

Answer Explanation:

the mean of a data set is the sum of the scores divided by the number of tests.

Total test scores =99+93+67+ 48+ 92+ 87=486

Number of tests =6

Mean test score =486/6=81

The mean test score is 81.

Therefore, the Correct Answer is D.

Q #1: Which of the following is the value of x in the equation below

A. x= -3 or x=4

B. x= -1 or x=2

C. x =-2 or x= 4

D. x= -3 or x= 5

Answer Explanation

We are tasked to find the unknown values of x in the given equation.

First, we add 8 to both sides of the equation.

Next, we apply the absolute rule:

If , a>0, then u=a or u=-a

From our resulting equation, a=14, which is greater 0. Then, the first condition (u=a) becomes

Solving for x

The second condition (u= -a) becomes

Solving for x

Thus, the value of x is 4 or -3
Q #2: The amount of salary a technician takes home in a month increases with sales of stocks, the amount of charge fees, and the number of working hours. Which of the following is the dependent variable?

A. Amount of salary

B. Charge fee

C. Working hours

D. Sales of stocks

Answer Explanation

Amount of salary will vary if the other three variables change. Therefore, salary is a dependent variable.
Q #3: Which of the following is the total number of whole boxes that measure 2.5 ft * 2.5 ft * 2.5 ft that can be stored in a room that measures 12 ft * 12 ft * 12 ft, if the size of the boxes cannot be altered?

A. 111

B. 105

C. 150

D. 120

Answer Explanation

The number of boxes to fit the room is found as volume of the room divided by the volume of the box.

Number of boxes:

\(\frac{volume\ of\ the\ room}{volume\ of\ the\ box} = \frac{12ft\ *\\ 12ft\ *\ 12ft}{2.5ft\ *\ 2.5t\ *\ 2.5ft}\ =\ 110.592\)

The approximate number of boxes that can be stored in the room is approximately 111 square feet.