Use the Counting Principle to find the probability. rolling a 4 on each of 4 number cubes

Step-by-step explanation:

There is a 1/6 chance for the first cube

There is a 1/6 chance for the second cube

There is a 1/6 for the third cube

There is a 1/6 for the fourth cube.

Probability for all events is (1/6)^4

P(all 1/6) = 1/1296 = 0.00077

sine

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;