Answer: a. The proportion of the population is between 20 and 30 =0.2356
b. The probability that a randomly chosen value will be between 30 and 40 =0.4680
Step-by-step explanation:
Given : Mean : ![\mu=35](https://tex.z-dn.net/?f=%5Cmu%3D35)
Standard deviation : ![\sigma = 8](https://tex.z-dn.net/?f=%5Csigma%20%3D%208)
The formula to calculate z-score :-
![z=\dfrac{x-\mu}{\sigma}](https://tex.z-dn.net/?f=z%3D%5Cdfrac%7Bx-%5Cmu%7D%7B%5Csigma%7D)
For x= 20
![z=\dfrac{20-35}{8}=-1.875](https://tex.z-dn.net/?f=z%3D%5Cdfrac%7B20-35%7D%7B8%7D%3D-1.875)
For x= 30
![z=\dfrac{30-35}{8}=-0.625](https://tex.z-dn.net/?f=z%3D%5Cdfrac%7B30-35%7D%7B8%7D%3D-0.625)
For x= 40
![z=\dfrac{40-35}{8}=0.625](https://tex.z-dn.net/?f=z%3D%5Cdfrac%7B40-35%7D%7B8%7D%3D0.625)
a.
![P(20](https://tex.z-dn.net/?f=P%2820%3Cx%3C30%29%3DP%28-1.875%3Cz%3C-0.625%29%5C%5C%3D%20P%28-0.625%29-P%28-1.875%29%5C%5C%3D0.2659855-0.0303964%3D0.2355891%5Capprox0.2356)
b.
![P(30](https://tex.z-dn.net/?f=P%2830%3Cx%3C40%29%3DP%28-0.625%3Cz%3C0.625%29%5C%5C%3D%20P%280.625%29-P%280.625%29%5C%5C%3D0.7340144-0.2659855%3D0.4680289%5Capprox0.4680)
Answer:36.75 ounces
Step-by-step explanation:
Multiply 3.5 by 10.5 to get 36.75
Answer:
![m\angle GBE=45^{\circ}](https://tex.z-dn.net/?f=m%5Cangle%20GBE%3D45%5E%7B%5Ccirc%7D)
Step-by-step explanation:
Any angle with a point on the circle will have a measure that is half of the arc it forms. Since
forms arc
which is given as
, the measure of angle
is equal to
.
It is d. Expression has to have an equal sign and solves for a variable in this case it's a
If the Air Jordans were originally $110 and are now $70 then the percentage off is 36.3636%