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
Answer:
5x 2 19x 4
9 6x 2 19x 2
factor 5x 2 19x 4
4x 2 19x 5 0
factor 6x 2 19x 7
6x 2 19x 36Factor 5x^2-19x+12. For a polynomial of the form , rewrite the middle term as a sum of two terms whose product is and whose sum is . Tap for more steps... Factor out of . Rewrite as plus. Apply the distributive property. Factor out the greatest common factor from each group. Tap for more steps...
Step-by-step explanation:
Answer:
4x+2
Step-by-step explanation:
2(2x+1)
4x +2
you distribute the the 2
<span>A) 3 - The third sock will match the first or second if they don't match each other.
B) 14 - It's highly unlikely yet possible to remove all brown socks first, the next two would have to be black.</span>
Answer:
often one of the first strategies that students learn when solving problems. This is a flexible strategy that is often used as a starting point when solving a problem, and can be used as a safety net, when no other strategy is immediately obvious.
Step-by-step explanation:
