Kadeem has a bag that contains pineapple chews, apple chews, and watermelon chews. He performs an experiment. Kadeem randomly removes a chew from the bag, records the result, and returns the chew to the bag. Kadeem performs the experiment 21 times. The results are shown below:A pineapple chew was selected 6 times.A apple chew was selected 10 times.A watermelon chew was selected 5 times.If the experiment is repeated 900 more times, about how many times would you expect Kadeem to remove a apple chew from the bag? Round your answer to the nearest whole number.Answer:
Q. Kadeem has a bag that contains pineapple chews, apple chews, and watermelon chews. He performs an experiment. Kadeem randomly removes a chew from the bag, records the result, and returns the chew to the bag. Kadeem performs the experiment 21 times. The results are shown below:A pineapple chew was selected 6 times.A apple chew was selected 10 times.A watermelon chew was selected 5 times.If the experiment is repeated 900 more times, about how many times would you expect Kadeem to remove a apple chew from the bag? Round your answer to the nearest whole number.Answer:
Calculate Probability: Determine the probability of selecting an apple chew based on the initial experiment.Kadeem selected an apple chew 10 times out of 21 total selections.Probability of selecting an apple chew = Number of times an apple chew was selected / Total number of selectionsProbability of selecting an apple chew =2110
Estimate Selections in Additional Experiments: Use the probability to estimate the number of times an apple chew would be selected in 900 additional experiments.Expected number of times an apple chew is selected = Probability of selecting an apple chew × Number of additional experimentsExpected number of times an apple chew is selected = (10/21)×900
Calculate Expected Selections: Calculate the expected number of times an apple chew would be selected.Expected number of times an apple chew is selected = (10/21)×900Expected number of times an apple chew is selected ≈428.57Since we need to round to the nearest whole number, we round 428.57 to 429.
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