Question

a spinner is divided into five colored sections that are not of equal size: red, blue, green, yellow, and purple. the spinner is spun several times, and the results are recorded below: spinner results color frequency red 4 blue 16 green 6 yellow 11 purple 9 based on these results, express the probability that the next spin will land on yellow as a percent to the nearest whole number. answer attempt 1 out of 3

Explanation:

Step1: Calculate total spins

Sum the frequencies: \( 4 + 16 + 6 + 11 + 9 \)
\( = 4 + 16 = 20 \); \( 20 + 6 = 26 \); \( 26 + 11 = 37 \); \( 37 + 9 = 46 \)

Step2: Find yellow's probability

Probability of yellow \( = \frac{\text{Frequency of Yellow}}{\text{Total Frequency}} = \frac{11}{46} \)

Step3: Convert to percentage

Multiply by 100: \( \frac{11}{46} \times 100 \approx 23.91 \)

Step4: Round to nearest whole number

\( 23.91 \approx 24 \)

Answer:

24%