A teacher has asked all the students in the class which days of the week they get up after 9 a.m. which of the following is the best way to display the frequency for each day of the week?

A. Bar graph

B. Pie graph

C. Scatter plot

D. Histogram

Answer Explanation:

A histogram will be appropriate to represent the time the students wake up every day of the week. The histogram is used to represent the frequency of the variable with another variable. In our case the vertical axis will represent the number of students (frequency) while the time of waking up on the horizontal axis.

Therefore, the Correct Answer is D.

Q #1: A bucket containing 3 3/5 gallons of water is 2/3 full. How many gallons of water is in one fully filled bucket?

A. 13/15

B. 6 7/15

C. 8 2/5

D. 5 2/5

Answer Explanation

we are asked to find the number of gallons a full tank holds. A full tank is treated as 1 whole.

Letting x be the number of gallons in full tank and setting the proportion equation with the number of gallons on the numerator and fraction of tank on denominator as follows.

Convert the mixed fraction into proper fraction and cross-multiply to find the value of x.

x 1 full tank=185 gallons23full tank

A full tank holds 27/5 gallons, which when converted to a mixed fraction is 5 2/5.
Q #2: Which of the following is the length of the unknown leg of a right triangle that has one leg length of 10 feet and a hypotenuse of 14 feet? (Round to the nearest tenth.)

A. 6 feet

B. 15.6 feet

C. 9.8 feet

D. 20 feet

Answer Explanation

The sides of a right-angled triangle are determined by the Pythagoras theorem. If we let the unknown side to x as in the figure below, then theory is applied as follows.

The value of x is found as:

The value of the unknown leg side of a triangle is about 9.8 feet.
Q #3: Which of the following is the decimal equivalent of 9/20?

A. 0.45

B. 3.4

C. 3.57

D. 0.18

Answer Explanation

9/20 is the same as 9 divided by 20, which is evaluated 9÷20. The value becomes 0.45.

Thus, 9/20 is equal to 0.45.