So, this problem is asking us to find the value of our variable
u.
How can you do this? By isolating the variable, or having only it on one side of the equals sign.
Here's the step by step approach. It's just simple algebra and reverse order of operation (which is what you should do whenever you are solving for a variable).
![\frac{u+88}{11} = 17](https://tex.z-dn.net/?f=%5Cfrac%7Bu%2B88%7D%7B11%7D%20%3D%2017)
Multiply both sides by 11 to get rid of the 11 denominator.
![u + 88 = 187](https://tex.z-dn.net/?f=u%20%2B%2088%20%3D%20187)
Then, subtract both sides by 88 to get u by itself.
![u = 99](https://tex.z-dn.net/?f=u%20%3D%2099)
Therefore, u is equal to 99.
1: 14 ft
2: 18
3: 11; 28
4: 8; 96
5: a = 5x3
6: a = 8x8
7: 1x42, 2x21, 3x14, and 6x7. 6x7 probably makes the most sense.
Answer:
Type I error.
Step-by-step explanation:
The decision to shut the process is triggered by the conclusion that the average height is significantly different from 66 mm.
This means that the null hypothesis, that states that the average height is not significantly different from 66 mm (μ=66), has been rejected.
If the null hypothesis is rejected, the error that can have been made is to reject a true null hypothesis, when the process is functioning to specification and the average length is not significantly different from 66.
This is a Type I error, that happens when a true null hypothesis is rejected.
Answer:
![f=\frac{3}{5}](https://tex.z-dn.net/?f=f%3D%5Cfrac%7B3%7D%7B5%7D)
Step-by-step explanation:
![-2(4f+5)=-7+2f-9](https://tex.z-dn.net/?f=-2%284f%2B5%29%3D-7%2B2f-9)
First, use PEMDAS to distribute the -2 to the parenthesis.
![-8f -10 = -7+2f -9](https://tex.z-dn.net/?f=-8f%20-10%20%3D%20-7%2B2f%20-9)
Combine like terms on the right side.
![-8f - 10 = -16+2f](https://tex.z-dn.net/?f=-8f%20-%2010%20%3D%20-16%2B2f)
Now, you may either subtract the f's or the constants. I'll subtract the constants first, meaning I will add 10 to both sides.
![-8f = -6 + 2f](https://tex.z-dn.net/?f=-8f%20%3D%20-6%20%2B%202f)
Now subtract the 2f from both sides.
![-10f = -6](https://tex.z-dn.net/?f=-10f%20%3D%20-6)
Divide both sides by 10.
![f = \frac{-6}{-10}](https://tex.z-dn.net/?f=f%20%3D%20%5Cfrac%7B-6%7D%7B-10%7D)
Simplify.
![f = \frac{3}{5}](https://tex.z-dn.net/?f=f%20%3D%20%5Cfrac%7B3%7D%7B5%7D)