We need to find out how many adults must the brand manager survey in order to be 90% confident that his estimate is within five percentage points of the true population percentage.
From the given data we know that our confidence level is 90%. From Standard Normal Table we know that the critical level at 90% confidence level is 1.645. In other words,
.
We also know that E=5% or E=0.05
Also, since,
is not given, we will assume that
=0.5. This is because, the formula that we use will have
in the expression and that will be maximum only when
=0.5. (For any other value of
, we will get a value less than 0.25. For example if,
is 0.4, then
and thus,
.).
We will now use the formula

We will now substitute all the data that we have and we will get



which can approximated to n=271.
So, the brand manager needs a sample size of 271
AAS postulate is the answer to this question
Step-by-step explanation:
What this is saying is...20 is a whole number; but 3/4 is not. What they are saying is, if you have to add a mixed number with a whole number, you can add both of the whole numbers together. Then, you add the 3/4 at the end...because it is not a whole number. You can break apart a mixed number by separating the whole number and the fraction.
Hope this helps :)
Answer:
B. g(x) = (x + 4)²
Step-by-step explanation:
f(x) = x²
And since graph g(x) is f(x) moved 4 points along x-axis and to the right,
g(x) will be equal to (x + 4)²
g(x) = (x + 4)²
X1 = 0
X2 = 1
X3 = 7
I hope that helps!! :)