The square root of a product of two positive real numbers is the product of their square roots. Write an algebraic expression based on that statement.

Step-by-step explanation:

Let 4 and 5 be the two positive real number. The square root of a product of 4 and 5 is the product of their square roots.

so

Therefore,

NOW SOLVING BY APPLYING RADICAL RULE such that

as

so

Hence, The square root of a product of two positive real numbers is the product of their square roots.

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;