First we distribute
![\frac{1}{5}](https://tex.z-dn.net/?f=%20%5Cfrac%7B1%7D%7B5%7D%20)
into
![n](https://tex.z-dn.net/?f=n)
and
![-\frac{1}{7}](https://tex.z-dn.net/?f=%20-%5Cfrac%7B1%7D%7B7%7D)
.
![\frac{1}{5} * n = \frac{1}{5} n](https://tex.z-dn.net/?f=%20%5Cfrac%7B1%7D%7B5%7D%20%2A%20n%20%3D%20%20%5Cfrac%7B1%7D%7B5%7D%20n%20)
![\frac{1}{5} * -\frac{1}{7} = - \frac{1}{35}](https://tex.z-dn.net/?f=%20%5Cfrac%7B1%7D%7B5%7D%20%20%2A%20%20-%5Cfrac%7B1%7D%7B7%7D%20%20%3D%20-%20%5Cfrac%7B1%7D%7B35%7D%20)
That makes the left side of the equation
![\frac{1}{5} n - \frac{1}{35} = \frac{1}{6} n](https://tex.z-dn.net/?f=%20%5Cfrac%7B1%7D%7B5%7D%20n%20-%20%20%5Cfrac%7B1%7D%7B35%7D%20%3D%20%20%5Cfrac%7B1%7D%7B6%7D%20n)
Now we subtract
![\frac{1}{5}n](https://tex.z-dn.net/?f=%20%5Cfrac%7B1%7D%7B5%7Dn)
from
![\frac{1}{6} n](https://tex.z-dn.net/?f=%20%5Cfrac%7B1%7D%7B6%7D%20n)
, which makes
![\frac{1}{30}](https://tex.z-dn.net/?f=%20%5Cfrac%7B1%7D%7B30%7D%20)
Now the equation is
![-\frac{1}{35} = -\frac{1}{30n}](https://tex.z-dn.net/?f=%20-%5Cfrac%7B1%7D%7B35%7D%20%3D%20%20-%5Cfrac%7B1%7D%7B30n%7D%20)
Our goal is to isolate
![n](https://tex.z-dn.net/?f=n)
, so we both sides by 30
That will make the equation
![- \frac{30}{35} = -n](https://tex.z-dn.net/?f=-%20%5Cfrac%7B30%7D%7B35%7D%20%3D%20-n)
We multiply -1 on both sides of the equation:
![\frac{30}{35} = n](https://tex.z-dn.net/?f=%20%5Cfrac%7B30%7D%7B35%7D%20%3D%20n)
Finally we simplify
![\frac{30}{35}](https://tex.z-dn.net/?f=%20%5Cfrac%7B30%7D%7B35%7D%20)
, which makes
So the answer is
Answer:
3
Step-by-step explanation:
Circumference =
, where r is radius, and d is diameter
d=113/3.14=35.987, which is approximately 36
At 12 yards per hour, it will take 36/12=3 hours
The answer is A. Two times two is four, and four plus seven (3.5 times 2) is eleven.
Answer:
Step-by-step explanation:
From the information given, the population is divided into sub groups. Each group would consist of citizens picking a particular choice as the most important problem facing the country. The choices are the different categories. In this case, the null hypothesis would state that the distribution of proportions for all categories is the same in each population. The alternative hypothesis would state that the distributions is different. Therefore, the correct test to use to determine if the distribution of "problem facing this country today" is different between the two different years is
A) Use a chi-square test of homogeneity.
Because it doesn't pass through the vertex it becomes a. hyperbola