Which of the following is the mean of the test scores listed below? 80, 68, 74, 87, 96

A. 80

B. 78

C. 96

D. 81

Answer Explanation:

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

Total test scores =80+68+74+87+96=405

Number of tests =5

Mean test score =405/5=81

The mean test score is 81.

Therefore, the Correct Answer is D.

Q #1: Solve for w in the equation below.

A. w=rxy+z

B. w=(x/ry)+(z/r)

C. w=y(z+rx)

D. w=(x/ry)-(z/r)

Answer Explanation

We are asked to make w the subject of the formula.

First, we rearrange the equation by to ensure w is on the right hand of the equation.

Then, divide both sides by r

Multiply both sides by y

The above equation can be rearranged into

Thus, the formula for finding the value of w is (x/ry)-(z/r).
Q #2: Which of the following is an appropriate unit of measure to express the length of a door?

A. Liters

B. Kilometers

C. Millimeters

D. Meters

Answer Explanation

The length of the door could be appropriately measured in meters. Kilometers are used to measure long distances while millimeters could be used to measure the length of very small objects. However, liters are used to measure the volume of liquids or objects.
Q #3: A child has a bottle full of pennies, nickels, dimes, and quarters. There are six as many quarters as pennies, two times as many as nickels as pennies, and 5 times as many dimes as nickels. How many more dimes does the child have than nickels?

A. 4 times as many

B. 5 times as many

C. 20 times as many

D. 10 times as many

Answer Explanation

In this problem, we need to compare the number of dimes to quarters.

If we let p be number of pennies in the bottle. Then,

Number of quarters in the bottle = 6p

Number of nickels in the bottle = 2p

Number of dimes in the bottle =5(2p)=10p

Now relating dimes to nickels, we have

Thus, there are 5 times as many dimes as quarters in the box.