Circle O is represented by the equation (x + 7)2 + (y + 7)2 = 16. What is the length of the radius of circle O?

4

Step-by-step explanation:

(x - h)² + (x - k)² = r²

r is the radius of the circle. We are given r as 16. So,

r² = 16

√r² = √16

r = 4

And we have our final answer!

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;

9x