Question

A questionnaire provides 54 yes, 33 no, and 33 no-opinion answers. in the construction of a pie chart, how many degrees would be in the section of the pie showing the yes answers?

Answer 1

The number of degrees in the section of the pie showing the yes answers is 162 degrees.

Step-by-step explanation:

To find the number of degrees in the section of the pie showing the yes answers, you need to calculate the percentage of yes answers out of the total number of answers. The total number of answers is 54 + 33 + 33 = 120. The percentage of yes answers is (54 / 120) * 100 = 45%. To convert this percentage into degrees, you multiply it by 360 (the number of degrees in a circle) and divide by 100. Therefore, the number of degrees in the section of the pie showing the yes answers is (45/100) * 360 = 162 degrees.

Answer 2

Add all numbers of answers: 54 + 33 + 33 = 120

The number of yes answers is: 54

Fraction of yes answer: 54/120 = 0.45

A full circle has 360 degrees. 0.45 of a full circle is 0.45 * 360 = 162

Answer: 162 degrees