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 | 9 | | blue | 18 | | green | 8 | | yellow | 6 | | purple | 7 | based on these results, express the probability that the next spin will land on yellow as a percent to the nearest whole number.

Explanation:

Step1: Calculate total spins

Sum the frequencies: \(9 + 18 + 8 + 6 + 7\)
\(= 9 + 18 = 27\); \(27 + 8 = 35\); \(35 + 6 = 41\); \(41 + 7 = 48\)

Step2: Find probability of yellow

Probability = \(\frac{\text{Yellow frequency}}{\text{Total spins}}=\frac{6}{48}\)
Simplify: \(\frac{6}{48}=\frac{1}{8}=0.125\)

Step3: Convert to percentage

Multiply by 100: \(0.125\times100 = 12.5\%\), round to nearest whole number: \(13\%\)

Answer:

13%