Answer:
Given :The monthly demand for a product is normally distributed with mean = 700 and standard deviation = 200.
To Find :
1. What is probability demand will exceed 900 units in a month?
2. What is probability demand will be less than 392 units in a month?
Solution:
![\mu = 700 \\\sigma = 200](https://tex.z-dn.net/?f=%5Cmu%20%3D%20700%20%5C%5C%5Csigma%20%3D%20200)
We are supposed to find probability demand will exceed 900 units in a month.
Formula : ![z=\frac{x-\mu}{\sigma}](https://tex.z-dn.net/?f=z%3D%5Cfrac%7Bx-%5Cmu%7D%7B%5Csigma%7D)
We are supposed to find P(Z>900)
Substitute x = 900
![z=\frac{900-700}{200}](https://tex.z-dn.net/?f=z%3D%5Cfrac%7B900-700%7D%7B200%7D)
![z=1](https://tex.z-dn.net/?f=z%3D1)
Refer the z table.
P(Z<900)=0.8413
P(Z>900)=1-P{(Z<900)=1-0.8413=0.1587
So, the probability that demand will exceed 900 units in a month is 0.1587.
Now we are supposed to find probability demand will be less than 392 units in a month
We are supposed to find P(Z<392)
Substitute x = 392
![z=\frac{392-700}{200}](https://tex.z-dn.net/?f=z%3D%5Cfrac%7B392-700%7D%7B200%7D)
![z=-1.54](https://tex.z-dn.net/?f=z%3D-1.54)
refer the z table
P(Z<900)=0.0618
So, probability that demand will be less than 392 units in a month is 0.0618.
Answer:
rational
Step-by-step explanation:
![\sqrt{42.25} \\ \\ = 6.5 \\ \\ = \frac{65}{10} \\ \\ = \frac{13}{2} \:this \: is \: a \: rational \: number \\ \implies \: \sqrt{42.25} \: is \: also \: rational](https://tex.z-dn.net/?f=%20%5Csqrt%7B42.25%7D%20%20%5C%5C%20%20%5C%5C%20%20%3D%206.5%20%20%20%5C%5C%20%5C%5C%20%3D%20%20%5Cfrac%7B65%7D%7B10%7D%20%20%20%5C%5C%20%20%5C%5C%20%3D%20%20%5Cfrac%7B13%7D%7B2%7D%20%20%5C%3Athis%20%5C%3A%20is%20%5C%3A%20a%20%5C%3A%20rational%20%5C%3A%20number%20%5C%5C%20%20%5Cimplies%20%5C%3A%20%20%5Csqrt%7B42.25%7D%20%20%5C%3A%20is%20%5C%3A%20also%20%5C%3A%20rational)
Answer:
4 Hours, is when they will be the same.
Step-by-step explanation:
1.25 x 4 = 5.00 + 37.00 = 42.00
3.00 x 4 = 12.00 + 30.00 = 42.00
Therfore, at 4 hours they will be the same.
(yay)
Answer:
i dont understand
Step-by-step explanation:
Answer:
onc
Step-by-step explanation: