Answer:
v =-28
Step-by-step explanation:
-18 - 3 /4 v = 3
Add 18 to each side
-18+18 - 3 /4 v = 3+18
-3/4 v = 21
Multiply each side by -4/3 to isolate v
-4/3 *-3/4v = 21*-4/3
v =-28
I think it is - 1/2
Or it could be 1/2 I am not that sure
Someone correct me if I am wrong
But I think it is - 1/2
Answer:
A sample of 179 is needed.
Step-by-step explanation:
We have that to find our
level, that is the subtraction of 1 by the confidence interval divided by 2. So:
![\alpha = \frac{1 - 0.85}{2} = 0.075](https://tex.z-dn.net/?f=%5Calpha%20%3D%20%5Cfrac%7B1%20-%200.85%7D%7B2%7D%20%3D%200.075)
Now, we have to find z in the Ztable as such z has a pvalue of
.
That is z with a pvalue of
, so Z = 1.44.
Now, find the margin of error M as such
![M = z\frac{\sigma}{\sqrt{n}}](https://tex.z-dn.net/?f=M%20%3D%20z%5Cfrac%7B%5Csigma%7D%7B%5Csqrt%7Bn%7D%7D)
In which
is the standard deviation of the population and n is the size of the sample.
A previous study found that for an average family the variance is 1.69 gallon?
This means that ![\sigma = \sqrt{1.69} = 1.3](https://tex.z-dn.net/?f=%5Csigma%20%3D%20%5Csqrt%7B1.69%7D%20%3D%201.3)
If they are using a 85% level of confidence, how large of a sample is required to estimate the mean usage of water?
A sample of n is needed, and n is found for M = 0.14. So
![M = z\frac{\sigma}{\sqrt{n}}](https://tex.z-dn.net/?f=M%20%3D%20z%5Cfrac%7B%5Csigma%7D%7B%5Csqrt%7Bn%7D%7D)
![0.14 = 1.44\frac{1.3}{\sqrt{n}}](https://tex.z-dn.net/?f=0.14%20%3D%201.44%5Cfrac%7B1.3%7D%7B%5Csqrt%7Bn%7D%7D)
![0.14\sqrt{n} = 1.44*1.3](https://tex.z-dn.net/?f=0.14%5Csqrt%7Bn%7D%20%3D%201.44%2A1.3)
![\sqrt{n} = \frac{1.44*1.3}{0.14}](https://tex.z-dn.net/?f=%5Csqrt%7Bn%7D%20%3D%20%5Cfrac%7B1.44%2A1.3%7D%7B0.14%7D)
![(\sqrt{n})^2 = (\frac{1.44*1.3}{0.14})^2](https://tex.z-dn.net/?f=%28%5Csqrt%7Bn%7D%29%5E2%20%3D%20%28%5Cfrac%7B1.44%2A1.3%7D%7B0.14%7D%29%5E2)
![n = 178.8](https://tex.z-dn.net/?f=n%20%3D%20178.8)
Rounding up
A sample of 179 is needed.
Answer:
x=-5
Step-by-step explanation:
10x + 15 = 5x-10
-5x -5x
5x+15 = -10
-15 -15
5x = -25
/5 /5
x = -5
Answer:
6
Step-by-step explanation:
I wrote it super fast. lol
can you get it?