Earlier, you explored an exponential expression and the relationship of its powers: .

To arrive at the answer of , it is possible to either add or multiply the powers on the left side of the equation. That's because and both equal the same number, .

Now look at the exponential expression you found to be equivalent to . Can you use addition or multiplication on the powers of this exponential expression to simplify it? If not, which operation works and which one doesn’t?

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;