For the function f(x) = (x − 2)2 + 4, identify the vertex, domain, and range. a. the vertex is (–2, 4), the domain is all real numbers, and the range is y ≥ 4. b. the vertex is (–2, 4), the domain is all real numbers, and the range is y ≤ 4. c. the vertex is (2, 4), the domain is all real numbers, and the range is y ≤ 4. d. the vertex is (2, 4), the domain is all real numbers, and the range is y ≥ 4.

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;

c

step-by-step explanation: easy math