Which of the following is equal to the square root of the cube root of 5?
5 to the power of one third
5 to the power of one sixth
5 to the power of two thirds
5 to the power of three halves

5 to the power of one sixth

Step-by-step explanation:

First option: 5 to the power of one sixth ( )

Step-by-step explanation:

It is important to remember the following:

 In this case, given:

You can identify that:

and  

Therefore, knowing this, you can conclude that:

You can observe that this answer matches with the second option.

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;

12

step-by-step explanation:

12 + 5 = 17

12x2=24

24-7=17