Carey, the music reporter for her high school newspaper, is writing an article about this year's school musical. carey wants to interview one male and one female cast member, and there are 4 boys and 3 girls in the musical this year. carey also wants to interview one of the 2 students working backstage on the tech crew. how many different sets of people can carey interview?
__ sets

  24

Step-by-step explanation:

Since she is interviewing one person from each of the groups, the total number of possible mixes of interviewees is the product of the number in each group:

  4×3×2 = 24 . . . sets

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;