answer the question based on the image posted. if jim spins the spinner 16 times, how many times would you…

answer the question based on the image posted. if jim spins the spinner 16 times, how many times would you predict the spinner to land on blue based on theoretical probability? show your work in the box below the image. color frequency purple 12 pink 6 yellow 9 blue 13
Answer
Explanation:
Step1: Calculate total frequency
$12 + 6+9 + 13=40$
Step2: Calculate probability of landing on blue
The probability $P$ of landing on blue is $\frac{13}{40}$.
Step3: Predict number of times landing on blue in 16 spins
Let $x$ be the number of times. We use the proportion: $\frac{x}{16}=\frac{13}{40}$. Cross - multiply gives $40x = 16\times13$. Then $x=\frac{16\times13}{40}=\frac{208}{40} = 5.2$.
Answer:
$5.2$