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Taub has a bag that contains pineapple chews, cherry chews, and peach chews. She performs an experiment. Taub randomly removes a chew from the bag, records the result, and returns the chew to the bag. Taub performs the experiment 54 times. The results are shown below: A pineapple chew was selected 35 times. A cherry chew was selected 10 times. A peach chew was selected 9 times. If the experiment is repeated 800 more times, about how many times would you expect Taub to remove a cherry chew from the bag? Round your answer to the nearest whole number. Answer:

Taub has a bag that contains pineapple chews, cherry chews, and peach chews. She performs an experiment. Taub randomly removes a chew from the bag, records the result, and returns the chew to the bag. Taub performs the experiment 5454 times. The results are shown below:\newlineA pineapple chew was selected 3535 times.\newlineA cherry chew was selected 1010 times.\newlineA peach chew was selected 99 times.\newlineIf the experiment is repeated 800800 more times, about how many times would you expect Taub to remove a cherry chew from the bag? Round your answer to the nearest whole number.\newlineAnswer:

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Q. Taub has a bag that contains pineapple chews, cherry chews, and peach chews. She performs an experiment. Taub randomly removes a chew from the bag, records the result, and returns the chew to the bag. Taub performs the experiment 5454 times. The results are shown below:\newlineA pineapple chew was selected 3535 times.\newlineA cherry chew was selected 1010 times.\newlineA peach chew was selected 99 times.\newlineIf the experiment is repeated 800800 more times, about how many times would you expect Taub to remove a cherry chew from the bag? Round your answer to the nearest whole number.\newlineAnswer:
  1. Calculate Probability of Cherry Chew: Determine the probability of selecting a cherry chew based on the initial experiment.\newlineThe probability PP of selecting a cherry chew is calculated by dividing the number of times a cherry chew was selected by the total number of experiments.\newlineP(cherry chew)=Number of cherry chews selectedTotal number of experimentsP(\text{cherry chew}) = \frac{\text{Number of cherry chews selected}}{\text{Total number of experiments}}\newlineP(cherry chew)=1054P(\text{cherry chew}) = \frac{10}{54}
  2. Calculate Expected Number of Cherry Chews: Calculate the expected number of times a cherry chew will be selected in 800800 additional experiments.\newlineTo find the expected number, multiply the probability of selecting a cherry chew by the number of additional experiments.\newlineExpected number of cherry chews =P(cherry chew)×Additional experiments= P(\text{cherry chew}) \times \text{Additional experiments}\newlineExpected number of cherry chews =(1054)×800= \left(\frac{10}{54}\right) \times 800
  3. Perform Calculation for Expected Number: Perform the calculation to find the expected number of cherry chews.\newlineExpected number of cherry chews = (10/54)×800(10 / 54) \times 800\newlineExpected number of cherry chews ≈148.148148148\approx 148.148148148
  4. Round Expected Number: Round the expected number to the nearest whole number.\newlineExpected number of cherry chews ≈148\approx 148 (rounded from 148.148148148148.148148148)

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