Evaluate b2c-1 for b = 8 and c = -4. -16 1/16 16 256

 The correct option is (B) -16.

Step-by-step explanation:  We are given to evaluate the value of the following expression for b = 8 and c = -4 :

To find the value of expression (i), we need to substitute the values of b and c in equation (i).

We will be using the following property of exponents :

Therefore, from equation (i), we get

Thus, option (B) is correct.

the answer will be

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;