Basic College Mathematics (10th Edition)

Published by Pearson
ISBN 10:
ISBN 13:

Chapter 10 - Statistics - 10.1 Circle Graphs - 10.1 Exercises - Page 715: 41

Answer

(a) Refer to the table in the step-by-step part below. (b) The sum is $100\%$ because the six percent values represent the complete set of categories so they make up the whole pie or 100 percent. (c) The sum is 360 degrees because the six categories include all the adults surveyed, so adding them together will cover the entire circle, which is made up of 360 degrees.
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Work Step by Step

(a) Use the given figure to complete the table. To solve for percent, divide the number of adults in the category by the total number of adults and multiply the result by 100. To find the number of degrees per category, multiply the percent to 360 degrees. Round-off all answers to the nearest percent or degree, (Refer to the attached table below.) (b) Add the percents. The sum is $100\%$. This is because the six percent values represent the complete set of categories so they make up the whole pie or 100 percent. (c) Add the degrees together. The sum is 360 degrees because the six categories include all the adults surveyed, so adding them together will cover the entire circle, which is made up of 360 degrees.
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