First we expand and combine the terms on the left side. This gives us
12x + 32 -4x + 8 = -8x + 40
8x + 40 = -8x + 40. Because the two sides cancel each other out when you try and bring all the x to one side, the answer is x = 0.
Answer:
14.88x + 8.88y
Step-by-step explanation:
Just multiply the numbers:
14.88x + 8.88y
Answer:
a) n = 1037.
b) n = 1026.
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 
The margin of error is:

99% confidence level
So
, z is the value of Z that has a pvalue of
, so
.
(a) Assume that nothing is known about the percentage to be estimated.
We need to find n when M = 0.04.
We dont know the percentage to be estimated, so we use
, which is when we are going to need the largest sample size.






Rounding up
n = 1037.
(b) Assume prior studies have shown that about 55% of full-time students earn bachelor's degrees in four years or less.

So






Rounding up
n = 1026.
Answer:
9
Step-by-step explanation:
![4a+7\\\\a=\frac{1}{2}\\\\=4[\frac{1}{2}]+7\\\\=2+7\\\\=9](https://tex.z-dn.net/?f=4a%2B7%5C%5C%5C%5Ca%3D%5Cfrac%7B1%7D%7B2%7D%5C%5C%5C%5C%3D4%5B%5Cfrac%7B1%7D%7B2%7D%5D%2B7%5C%5C%5C%5C%3D2%2B7%5C%5C%5C%5C%3D9)