Simplifying exponents (picture provided)

3^2 ; Option B

Step-by-step explanation:

We are given the equation 3^ -6 * ( 3^4 / 3^0 )^2, which can be solved through the application of exponential rules;

3^2 ; Option B

The answer would be .

Step-by-step explanation:

-Solve the following equation:

-When dividing integers, the exponents would subtract each other. So, you subtract exponent and :

-Simplify by the exponent :

-When multiplying integers, the exponent would add up together. So, you would add and :

So, the answer is .

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;