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Hi, there!

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Assume that a contestant cannot win more than one award. Then the number of ways to choose the winner of first place is 650 since everyone has a chance to win. There are 649 ways to choose the second place winner because everyone but the first place winner is eligible. Likewise, there are 648 ways for the third place winner to be chosen. The total number of ways to choose the three awards is

Step-by-step explanation:

d. 24+-0.114

step-by-step explanation:

the question requires us to calculate the approximate 95% confidence interval for the mean number of ounces of ketchup per bottle in the sample given the following statistics;

sample mean = 24

standard deviation, σ = 0.4

sample size , n = 49

the confidence interval for a population mean is calculated using the formula;

sample mean ± z-score*(σ/sqrt(n))

the z-score associated with a 95% confidence interval, from the standard normal tables, is;

1.96

substituting these values into the formula;

24 ± 1.96*(0.4/7)

= 24 ± 0.112

from the alternatives given, choice d is closest to the above expression;