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
The graph of P = 35 - 1/4Q is a straight line passing through points (0, 35) and (140, 0)
Answer:
y = 5
Step-by-step explanation:
Since BD bisects ∠ABC , then
∠ABD = ∠CBD ← substitute given angle values
5y - 3 = 2y + 12 ( subtract 2y from both sides )
3y - 3 = 12 ( add 3 to both sides )
3y = 15 ( divide both sides by 3 )
y = 5
Answer:
I agree with Helen because she is right that the volume is about 175 cubic inch. and it is a triangular prism.
Step-by-step explanation:
For this problem wouldn't you just take 2 meters and subtract by 39 centimeters? If so, then 2 meters - 39 centimeters = 1.61 meters.