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

Explanation:

Step1: Count experimental - even results

From the dot - plot, count the number of times the spinner landed on an even number (2, 4, 6) in 12 trials. There are 3 + 4+ 1 = 8 times.

Step2: Calculate experimental probability of landing on an even number

The experimental probability $P(\text{even})$ of landing on an even number in 12 trials is $\frac{8}{12}=\frac{2}{3}$.

Step3: Predict number of even - landings in 240 trials

Multiply the experimental probability by the number of trials. So, the predicted number of times the spinner will land on an even number in 240 trials is $\frac{2}{3}\times240 = 160$.

Step4: Count experimental results less than 5

From the dot - plot, count the number of times the spinner landed on a number less than 5 (1, 2, 3, 4) in 12 trials. There are 4+0 + 1+4 = 9 times.

Step5: Calculate experimental probability of landing on a number less than 5

The experimental probability $P(<5)$ of landing on a number less than 5 in 12 trials is $\frac{9}{12}=\frac{3}{4}$.

Step6: Predict number of landings less than 5 in 240 trials

Multiply the experimental probability by the number of trials. So, the predicted number of times the spinner will land on a number less than 5 in 240 trials is $\frac{3}{4}\times240 = 180$.

Answer:

160 180