Answer: 0.6827
Step-by-step explanation:
Given : Mean IQ score : ![\mu=105](https://tex.z-dn.net/?f=%5Cmu%3D105%20)
Standard deviation : ![\sigma=15](https://tex.z-dn.net/?f=%5Csigma%3D15)
We assume that adults have IQ scores that are normally distributed .
Let x be the random variable that represents the IQ score of adults .
z-score : ![z=\dfrac{x-\mu}{\sigma}](https://tex.z-dn.net/?f=z%3D%5Cdfrac%7Bx-%5Cmu%7D%7B%5Csigma%7D)
For x= 90
![z=\dfrac{90-105}{15}\approx-1](https://tex.z-dn.net/?f=z%3D%5Cdfrac%7B90-105%7D%7B15%7D%5Capprox-1)
For x= 120
![z=\dfrac{120-105}{15}\approx1](https://tex.z-dn.net/?f=z%3D%5Cdfrac%7B120-105%7D%7B15%7D%5Capprox1)
By using the standard normal distribution table , we have
The p-value : ![P(90](https://tex.z-dn.net/?f=P%2890%3Cx%3C120%29%3DP%28-1%3Cz%3C1%29)
![P(z](https://tex.z-dn.net/?f=P%28z%3C1%29-P%28z%3C-1%29%3D%200.8413447-0.1586553%3D0.6826894%5Capprox0.6827)
Hence, the probability that a randomly selected adult has an IQ between 90 and 120 =0.6827
Answer:
Bottom left
Step-by-step explanation:
If you can draw a vertical line through a graph and touch only one point, the relation is a function.
3. A
4.B
5.B
Very happy to help you!
40 percent of 250 = .4*250 = 100
100 seventh graders got the flu.
Answer:
11 is 405, 12 is 107.5, 13 im not sure of
Step-by-step explanation:
First on 11 you can just do 21*21 (the big square) and subtract that by 36 (which is 6*6, the small square), you'll get 107.5.
Then on 12, it is made up of a large rectangle, a small triangle, and a flatter triangle. The top triangle's formula is 1/2(7*3) which = 10.5. The big rectangle is 13*7 = 91. The last triangle is 1/2(4*3) which = 6. It is 3 because 13-10. Add all those up and you should get 107.5.
And I just want to know on number 13 if that 11 is the radius or diameter. I can't seem to tell.