Q10. - Algebra 1

Question

GRIDDED RESPONSE Suppose Colleen spins the spinner below 80 times and records the results in a frequency table. How many times should she expect to spin a vowel?

Step-by-Step Solution

Answer

Colleen should expect to spin a vowel 32 times.

Step 1. Probability.

Find the probability of getting a vowel in one spin.

$P=\frac{2}{5}$

Step 2. Multiplication.

Multiply the total spins to the probability.

$\frac{2}{5}\cdot 80=\frac{160}{5}$

Step 3. Simplify.

Simplify the above-obtained expression.

$32$

Therefore, Colleen should expect to spin a vowel 32 times.