Problem

5. For a sample of 950 people, how many would you expect to choose Math? [2 markik]
\[
\text { Full Circle }=360^{\circ}
\]
\[
\begin{aligned}
\frac{108^{\circ}}{360^{\circ}} & =\frac{x}{950 \text { people }} \\
360 x & =102600 \\
x & =102600 / 360
\end{aligned}
\]

Answer

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Answer

To solve for x, we can cross-multiply and divide: \(x = \frac{102600}{360}\) which simplifies to \(x = 285\)

Steps

Step 1 :Given that 108 degrees out of 360 degrees represent the proportion of people who choose Math, we can set up a proportion to find the number of people who would choose Math out of 950 people: \(\frac{108^\circ}{360^\circ} = \frac{x}{950 \text{ people}}\)

Step 2 :To solve for x, we can cross-multiply and divide: \(x = \frac{102600}{360}\) which simplifies to \(x = 285\)

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