carmen surveys a random sample of 35 students from her school. of these students, 2 are chess club members…

carmen surveys a random sample of 35 students from her school. of these students, 2 are chess club members. if there are 550 students at her school, how many of them are likely to be chess club members?

carmen surveys a random sample of 35 students from her school. of these students, 2 are chess club members. if there are 550 students at her school, how many of them are likely to be chess club members?

Answer

Explanation:

Step1: Set up proportion

Let $x$ be the number of chess - club members in the whole school. The proportion is $\frac{2}{35}=\frac{x}{550}$.

Step2: Cross - multiply

$35x = 2\times550$.

Step3: Solve for $x$

$x=\frac{2\times550}{35}=\frac{1100}{35}=\frac{220}{7}\approx31.43$. Since we are talking about the number of people, we round to the nearest whole number. So $x = 31$.

Answer:

31