A teacher has asked all the students in the class what is their favorite color is and separates the responses into five categories. The results are shown in the table below. which of the following is the best way to display the frequency for each color? Color Red Black Green White Other Number of students 12 25 8 5 10

A. Histogram

B. Pie chart

C. Scatter plot

D. Line graph

Answer Explanation:

A histogram is used to visualize the frequency of a one variable over the other while a line graph is used to compare two variables.

A scatter plot used to show the correlation between two variables.

A pie chart is used to show the proportion of the given information in circle, with each section of a circle representing a given fraction of a whole.

From the given information, a pie chart is an appropriate tool show the frequency of the students choosing their favorite color.

Therefore, the Correct Answer is B.

Q #1: A child has a bottle full of pennies, nickels, dimes, and quarters. There are twice as many quarters as pennies, three times as many as nickels as pennies, and six times as many dimes as nickels. How many more dimes does the child have than quarters?

A. 10 times as many

B. 5 times as many

C. 6 times as many

D. 9 times as many

Answer Explanation

In this task, we use the relation from the given scenario 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 = 2p

Number of nickels in the bottle = 3p

Number of dimes in the bottle =6(3p)=18p

Now relating dimes to quarters, we have

Thus, there are 9 times as many dimes as quarters in the box.
Q #2: Which of the following is the decimal form of 98.2%?

A. 9.82

B. 9820

C. 982

D. 0.982

Answer Explanation

Percentages are fractions with denominator equal to 100. To convert a percent to decimal form, divide the value by 100.

The decimal form of 98.2% is 0.982.
Q #3: A circle has an area of 169 π in2. Which of the following is the circumference of the circle in terms of pi ( )?

A. 13 π in

B. 26 π in

C. 7.5 π in

D. 20 π in

Answer Explanation

We need to find the radius of the circle in order to find circumference of the circle. If we let r to be radius of the circle, then

Substituting 169π in place of area

Dividing both sides by pi and taking square root on both sides yields

The radius of the circle from the given area is 13 in. and the circumference of the circle is given by the relation: