of the last 16 contestants on a game show, 12 qualified for the bonus round. considering this data, how many…
of the last 16 contestants on a game show, 12 qualified for the bonus round. considering this data, how many of the next 12 contestants would you expect to qualify for the bonus round? contestants
Answer
Explanation:
Step1: Calculate the qualification rate
The qualification rate is the number of qualified contestants divided by the total number of contestants. So the rate $r=\frac{12}{16}=\frac{3}{4}$.
Step2: Predict the number of qualified contestants
Multiply the rate by the number of new contestants. Let $x$ be the number of expected - qualified contestants among the next 12 contestants. Then $x = r\times12$. Substitute $r=\frac{3}{4}$ into the formula, we get $x=\frac{3}{4}\times12 = 9$.
Answer:
9