Question

Pls help me I need it done soon and preferably b

Answer 1

(a) 8/15

(b) 192°

Explanation:

The total number of students in the class is the sum of the frequencies:

`\begin{aligned}\implies \textsf{Total number of students} &= \sf4 + 8 + 3\\& =\sf 15\end{aligned}`

Part (a)

To find the fraction of the students who said science was their favorite subject, divide the frequency of science by the total number of students:

`\implies \sf Science = (8)/(15)`

Part (b)

A pie chart is a type of graph in which a circle is divided into sections that each represent a proportion of the whole.

A circle has a total of 360° all the way around its center.

Therefore, the central angle of the section of a pie chart that represents science is ⁸/₁₅ths of 360°:

`\begin{aligned}\implies \sf Central\:Angle\:(Science) & = \sf (8)/(15) \; of \; 360^(\circ)\\\\& = \sf (8)/(15) * 360^(\circ)\\\\& = \sf (8* 360^(\circ))/(15) \\\\& = \sf (2880^(\circ))/(15) \\\\& =\sf 192^(\circ) \end{aligned}`