What is (x-2)^2+(y+1)^2=4^2

y = sqrt(16 - (x - 2)^2) - 1 or y = -sqrt(16 - (x - 2)^2) - 1

Step-by-step explanation:

Solve for y:

(x - 2)^2 + (y + 1)^2 = 16

Subtract (x - 2)^2 from both sides:

(y + 1)^2 = 16 - (x - 2)^2

Take the square root of both sides:

y + 1 = sqrt(16 - (x - 2)^2) or y + 1 = -sqrt(16 - (x - 2)^2)

Subtract 1 from both sides:

y = sqrt(16 - (x - 2)^2) - 1 or y + 1 = -sqrt(16 - (x - 2)^2)

Subtract 1 from both sides:

y = sqrt(16 - (x - 2)^2) - 1 or y = -sqrt(16 - (x - 2)^2) - 1

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;