|- x| ≥ 0 for all real numbers x .

true or false

True

Step-by-step explanation:

Taking the absolute value of a number, whether it's negative or positive, always returns either a positive value or zero.

Lets say we have a number line with the point A on it. Think of the absolute value of A as the distance between point A and zero. Since the distance cannot be negative, the absolute value will always return a positive value.

A positive number is always greater than zero, and zero is equal to zero. Therefore, the answer is True.

I hope this helps. :)

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;