Factor 4x^2-52x+160 completely

(would be great if all work was shown, please) ☺☺

4(x - 5)(x - 8)

Step-by-step explanation:

Given

4x² - 52x + 160 ← factor out 4 from each term

= 4(x² - 13x + 40) ← factor the quadratic

Consider the factors of the constant term (+ 40) which sum to give the coefficient of the x- term (- 13)

The factors are - 5 and - 8, since

- 5 × - 8 = + 40 and - 5 - 8 = - 13, thus

x² - 13x + 40 = (x - 5)(x - 8)

Then

4x² - 52x + 160 = 4(x - 5)(x - 8)

207/8 is the right

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;