a spinner has sections that are numbered 1 through 6. naomi spins the spinner 12 times and records her…

a spinner has sections that are numbered 1 through 6. naomi spins the spinner 12 times and records her results in the dot - plot. use the results to predict the number of times the spinner will land on an even number in 240 trials.

a spinner has sections that are numbered 1 through 6. naomi spins the spinner 12 times and records her results in the dot - plot. use the results to predict the number of times the spinner will land on an even number in 240 trials.

Answer

Explanation:

Step1: Count even - number results in 12 trials

From the dot - plot, the number of times the spinner landed on an even number (2, 4, 6) in 12 trials: for 2 it's 0, for 4 it's 4, for 6 it's 1. So the total is 0 + 4+1 = 5.

Step2: Set up proportion

Let $x$ be the number of times the spinner will land on an even number in 240 trials. The proportion is $\frac{5}{12}=\frac{x}{240}$.

Step3: Solve the proportion

Cross - multiply: $12x = 5\times240$. Then $12x=1200$. Divide both sides by 12: $x=\frac{1200}{12}=100$.

Answer:

100