Answer:
f(x) = (x - 4)² - 13
Step-by-step explanation:
Given
f(x) = x² - 8x + 3
To complete the square
add/subtract ( half the coefficient of the x- term )² to x² - 8x
f(x) = x² + 2(- 4)x + 16 - 16 + 3 = (x - 4)² - 13
Answer:
The 90% confidence interval for the percentage of people the company contacts who may buy something is between 10.82% and 14%
Step-by-step explanation:
In a sample with a number n of people surveyed with a probability of a success of
, and a confidence level of
, we have the following confidence interval of proportions.

In which
z is the zscore that has a pvalue of
.
For this problem, we have that:

90% confidence level
So
, z is the value of Z that has a pvalue of
, so
.
The lower limit of this interval is:

The upper limit of this interval is:

The 90% confidence interval for the percentage of people the company contacts who may buy something is between 10.82% and 14%
You would need to buy 3 because you need 227.2 grams of raisins and that’s 3 bags