Jack has a bag that contains orange chews, lemon chews, and lime hews. He performs an experiment. Jack randomly removes a chew from the bag, records the result, and returns the chew to the bag. Jack performs the experiment 58 times. The results are shown below: A orange chew was selected 9 times. A lemon chew was selected 35 times. A lime chew was selected 14 times. If the experiment is repeated 500 more times, about how many times would you expect Jack to remove a lime chew from the bag? Round your answer to the nearest whole number.

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Bytelearn · Accepted Answer

Calculate Probability: Determine the probability of selecting a lime chew based on the initial experiment. Jack selected a lime chew 14 times out of 58 total experiments. Probability of selecting a lime chew = Number of lime chews selected / Total number of experiments Probability of selecting a lime chew = 14 / 58Predict Lime Chews: Use the probability to predict the number of times a lime chew will be selected in 500 additional experiments. Expected number of lime chews in 500 experiments = Probability of selecting a lime chew * Number of additional experiments Expected number of lime chews in 500 experiments = (14 / 58) * 500Calculate Expected Chews: Calculate the expected number of lime chews in 500 experiments. Expected number of lime chews in 500 experiments = (14 / 58) * 500 Expected number of lime chews in 500 experiments ≈ 120.69Round to Nearest Whole: Round the result to the nearest whole number, as the question asks for an estimate. Expected number of lime chews in 500 experiments ≈ 121 (rounded to the nearest whole number)

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