Which of the following is the mean of the test scores listed below? 83, 86, 76, 88, 97

A. 97

B. 76

C. 86

D. 83

Answer Explanation:

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

Total test scores = 83+86+76+88+97 = 430

Number of tests = 5

Mean test score = 430/5 = 86

The mean test score is 86.

Therefore, the Correct Answer is C.

Q #1: A recipe calls for 3 teaspoons of vanilla. 1 teaspoon equals approximately 4.93 mL. Which of the following is the correct amount of vanilla in mL?

A. 34.33 mL

B. 9.58 mL

C. 10.49 mL

D. 14.79 mL

Answer Explanation

To find the amount of vanilla in mL, use dimensional analysis of the units of measurements.

Two ways to convert between teaspoon and mL are:

Since we are required to find the amount in mL, we use a cionverstioon that will result in mL. Inspecting the above options, we use the second option and set up an equation in way the unwanted units cancel out and leave the wanted unit we are looking for. Then,

Thus, a recipe of 3 teaspoons equals 14.79 mL.
Q #2: A recipe calls for 2/9 cup of flour for every 1 2/5 cup of milk. To make a bigger batch, the chef uses 2 cups of flour. Which of the following would be the amount of milk needed for the bigger batch?

A. 12 1/5 cups

B. 12 3/5 cups

C. 8 1/25 cups

D. 10 3/25 cups

Answer Explanation

The number of cups of milk to make a bigger batch, we proceed as follows:

First convert the mixed number 1 2/5 as

Then, we let the unknown number of cups of milk to be x and we set a proportion equation with number cups of floor as numerator and cups of milk as denominator

Find the value of x by cross-products

2 as a fraction is 2/1 which is then used to find the product of the numerator as follows.

Per means division. The above equation becomes

When dividing fractions, we multiply the first fraction with the reciprocal of the second. The reciprocal of 2/9 is 9/2. Thus

The numbers of cups of milk required is 63/5, which when converted to mixed fraction becomes 12 3/5.
Q #3: How many milliliters are there in 6.5 liters?

A. 0.65

B. 65

C. 650

D. 6500

Answer Explanation

We use the relation 1 L=1000 mL to convert L to mL.

The two options for converting between L and mL are

And

We use the first option to convert 6.5 L to mL as follows:

Thus, 6.5 L is 6500 mL.