Answer:
33 degrees
Explanation:
The total number of students that participated in the course were
[tex]53+85+113+79+33=363\; \text{students}[/tex]What per cent of these students got an F? We know that 33 students failed the course; therefore,
[tex]\frac{33}{363}\times100\%=\frac{100}{11}\%[/tex]Now, the number of degrees that the F region will subtend on the pie chart will be 100/11 percent of the whole. Now, 100/11 % of 360 degrees is
[tex]\frac{100}{11}\%\times\frac{1}{100}\times360=\frac{360}{11}[/tex]which (rounded to the nearest whole number) evaluates to
[tex]\frac{360}{11}\approx33^o[/tex]Therefore, we find that the F region would occupy 33 degrees on the pie chart.
