Chapter CSB1.9, Problem 24E

a.

To determine

To find: the measure of each angle of the circle graph to the nearest degree.

Answer to Problem 24E

$249 or less (49%) is equivalent to ${176.4}^o$

$250-$349 (21%) is equivalent to ${75.6}^o$

Don’t know (10%) is equivalent to ${36}^o$

$350 or more(20%) is equivalent to ${72}^o$

Explanation of Solution

Given information: a figure is given as follows-

For $249 or less (49%),

Since 100% is equivalent to ${360}^o$

Then 1% is equivalent to ${\frac{360}{100}}^o$

Then 49% is equivalent to ${\frac{360}{100}}^o\times 49={176.4}^o$

Similarly, $250-$349 (21%) is equivalent to ${75.6}^o$

Don’t know (10%) is equivalent to ${36}^o$

$350 or more (20%) is equivalent to ${72}^o$.

b.

To determine

To find: the numbers of adults out of 500 who were surveyed and expect money spend on clothes between $250-$349.

Answer to Problem 24E

105

Explanation of Solution

Given information: a figure is given as follows-

Since total number of adults who were surveyed is 500.

Then number of adults who expect to spend money on school clothes between $250 and $349 is

  $\begin{array}{l}21\%\text{ of }500\\ \Rightarrow \frac{21}{100}\times 500=105\end{array}$