Problem

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

Solution

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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Source: https://solvelyapp.com/problems/16232/

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