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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:

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 2121 times. The results are shown below:\newlineA pineapple chew was selected 66 times.\newlineA apple chew was selected 1010 times.\newlineA watermelon chew was selected 55 times.\newlineIf the experiment is repeated 900900 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.\newlineAnswer:

Full solution

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 2121 times. The results are shown below:\newlineA pineapple chew was selected 66 times.\newlineA apple chew was selected 1010 times.\newlineA watermelon chew was selected 55 times.\newlineIf the experiment is repeated 900900 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.\newlineAnswer:
  1. Calculate Probability: Determine the probability of selecting an apple chew based on the initial experiment.\newlineKadeem selected an apple chew 1010 times out of 2121 total selections.\newlineProbability of selecting an apple chew == Number of times an apple chew was selected // Total number of selections\newlineProbability of selecting an apple chew =1021= \frac{10}{21}
  2. Estimate Selections in Additional Experiments: Use the probability to estimate the number of times an apple chew would be selected in 900900 additional experiments.\newlineExpected number of times an apple chew is selected = Probability of selecting an apple chew ×\times Number of additional experiments\newlineExpected number of times an apple chew is selected = (10/21)×900(10 / 21) \times 900
  3. Calculate Expected Selections: Calculate the expected number of times an apple chew would be selected.\newlineExpected number of times an apple chew is selected = (10/21)×900(10 / 21) \times 900\newlineExpected number of times an apple chew is selected 428.57\approx 428.57\newlineSince we need to round to the nearest whole number, we round 428.57428.57 to 429429.

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