Answer:
Option A: 3.59% is the correct answer
Step-by-step explanation:
Z-score is used to calculate the probabilities when mean and standard deviation is given.
Given
Mean = μ = 21
SD = σ = 5
We have to find the probability of selling 12 or less water heaters so our x value is 12
x = 12
The z-score of a value is calculated as:
z-score = (x-μ)/σ
Putting the values
![z-score=\frac{12-21}{5} \\=\frac{-9}{5}\\=-1.8](https://tex.z-dn.net/?f=z-score%3D%5Cfrac%7B12-21%7D%7B5%7D%20%5C%5C%3D%5Cfrac%7B-9%7D%7B5%7D%5C%5C%3D-1.8)
Now z-score table will be used to calculate the probability for z= -1.8
So we will go for the row with -1.8 and column 0, which gives us: 0.03593
As we have to calculate the probability in percentage
![=0.03593*100\\= 3.593\%](https://tex.z-dn.net/?f=%3D0.03593%2A100%5C%5C%3D%203.593%5C%25)
Hence,
Option A: 3.59% is the correct answer
You can't use 1 point on a line to make a full slope. To make a full slope you would need 2 points on a line. To make more than one slope you would need more than 2 points on a line.
Hope this helped! :D
The slope is -4. This is because of slope intercept form, y=mxtb. M= the slope so the slope in this case is -4
It should be |-80+15|=65 units because absolute value makes it positive.
If you understand what is linear pair, you can see the same in triangle also. A linear pair is a pair of adjacent, supplementary angles. Adjacentmeans next to each other, and supplementary means that the measures of the two angles add up to equal 180 degrees.