Answer:
30.5 ft squared
Step-by-step explanation:
First, find the area and shape. If it is a square then you want to divide by four since all sides are equal. So divide 122 by 4 and you get the answer.
<h2><u><em>
If you need more help or explanation, follow up in the comments below. :P</em></u></h2>
Answer:
(A) P (D > 0) = 99.38%
(B) P (D > 15) = 10.56%
Step-by-step explanation:
The random variable D = difference, is defined as the difference between the reading test scores after and before the program.
The random variable <em>D </em>follows a normal distribution with mean,
and standard deviation,
.
(A)
Compute the probability that the children showed any improvement, i.e.
P (D > 0):
![P(D>0)=P(\frac{D-\mu_{D}}{\sigma_{D}} >\frac{0-10}{4} )=P(Z>-2.5)=P(Z](https://tex.z-dn.net/?f=P%28D%3E0%29%3DP%28%5Cfrac%7BD-%5Cmu_%7BD%7D%7D%7B%5Csigma_%7BD%7D%7D%20%3E%5Cfrac%7B0-10%7D%7B4%7D%20%29%3DP%28Z%3E-2.5%29%3DP%28Z%3C2.5%29)
Use the standard normal random variable to determine the probability.
![P(D>0)=P(Z](https://tex.z-dn.net/?f=P%28D%3E0%29%3DP%28Z%3C2.5%29%3D0.9938)
The percentage of children showed any improvement is:
0.9938 × 100 = 99.38%
Thus, 99.38% of children showed improvement.
(B)
Compute the probability that the children improved by more than 15 points, i.e. P (D > 15):
![P(D>15)=P(\frac{D-\mu_{D}}{\sigma_{D}} >\frac{15-10}{4} )=P(Z>1.25)=1-P(Z](https://tex.z-dn.net/?f=P%28D%3E15%29%3DP%28%5Cfrac%7BD-%5Cmu_%7BD%7D%7D%7B%5Csigma_%7BD%7D%7D%20%3E%5Cfrac%7B15-10%7D%7B4%7D%20%29%3DP%28Z%3E1.25%29%3D1-P%28Z%3C1.25%29)
Use the standard normal random variable to determine the probability.
![P(D>0)=1-P(Z](https://tex.z-dn.net/?f=P%28D%3E0%29%3D1-P%28Z%3C1.25%29%3D1-0.8944%3D0.1056)
The percentage of children improved by more than 15 points is:
0.1056 × 100 = 10.56%
Thus, 10.56% of children showed improvement by more than 15 points.
answer: Which angle? It doesn't say which.
Answer:
6
Step-by-step explanation:
Any circle in the form
![(x+\alpha)^2 + (y+\beta)^2 = r^2](https://tex.z-dn.net/?f=%28x%2B%5Calpha%29%5E2%20%2B%20%28y%2B%5Cbeta%29%5E2%20%3D%20r%5E2)
Where r^2 is the radius squared, so
![r^2=36](https://tex.z-dn.net/?f=r%5E2%3D36)
![r=6](https://tex.z-dn.net/?f=r%3D6)
I don’t know if this is correct but I think it’s 80. Tell me if I’m wrong or not . Hope this can help you