Answer:
Step-by-step explanation:
JM is a diameter. 1/2 JM is the radius. 1/2 10 = 5
The radius is 5
The above statement is true if N is the center.
The semi circle has an area of pi r^2/2 = 5^2/2 * pi = 25/2 * pi
12.5 pi
The area of the other part is
(58/360) * pi * r^2 =
0.161 * pi * 5^2
0.161 * pi * 25
4.03 * pi
Now add these two parts together.
12.5pi + 4.03= 16.53 * pi.
That's one possible answer.
Another would be 16.53 * 3.14 = 51.897
If you have choices, list them.
Answer:
351.7227778°
Step-by-step explanation:
Let
denote the value on the
-th drawn ball. We want to find the expectation of
, which by linearity of expectation is
![E[S]=E\left[\displaystyle\sum_{i=1}^5B_i\right]=\sum_{i=1}^5E[B_i]](https://tex.z-dn.net/?f=E%5BS%5D%3DE%5Cleft%5B%5Cdisplaystyle%5Csum_%7Bi%3D1%7D%5E5B_i%5Cright%5D%3D%5Csum_%7Bi%3D1%7D%5E5E%5BB_i%5D)
(which is true regardless of whether the
are independent!)
At any point, the value on any drawn ball is uniformly distributed between the integers from 1 to 10, so that each value has a 1/10 probability of getting drawn, i.e.

and so
![E[X_i]=\displaystyle\sum_{i=1}^{10}x\,P(X_i=x)=\frac1{10}\frac{10(10+1)}2=5.5](https://tex.z-dn.net/?f=E%5BX_i%5D%3D%5Cdisplaystyle%5Csum_%7Bi%3D1%7D%5E%7B10%7Dx%5C%2CP%28X_i%3Dx%29%3D%5Cfrac1%7B10%7D%5Cfrac%7B10%2810%2B1%29%7D2%3D5.5)
Then the expected value of the total is
![E[S]=5(5.5)=\boxed{27.5}](https://tex.z-dn.net/?f=E%5BS%5D%3D5%285.5%29%3D%5Cboxed%7B27.5%7D)
Answer:
.
Step-by-step explanation:
Given:
In Right Angle Triangle GIH
∠ I = 90°
GI = 7 ....Side opposite to angle H
GH = 10 .... Hypotenuse
To Find:
m∠H = ?
Solution:
In Right Angle Triangle ABC ,Sine Identity,

Substituting the values we get;

Now taking
we get;

rounding to nearest tenth we get.
.
Hence
.