Derive the equation of the parabola with a focus at (2, −1) and a directrix of y = −1/2. A. f(x) = −(x + 2)2 − 3/4
B. f(x) = (x + 2)2 + 3/4
C. f(x) = −(x − 2)2 + 3/4
D. f(x) = −(x − 2)2 − 3/4

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;