Answer:
x=24
y=21
Step-by-step explanation:
ok budy mark me as brainlsit
Answer:
12
Step-by-step explanation:
20-6=14 (Distance between points) then 14*3/7=6.
3/7 of the distance from A=6 to B=20 is 6. Thus, we find the point that is
3/7 of the distance from A=6 to B=20 by adding 6 to 6.
6+6= 12
Therefore, the point that is
3/7 from A=6 to B=20 is 12.
Answer:
x=13/2
Step-by-step explanation:
3/4x=4 7/8
x= 4 7/8 divided by 3/4
x=13/2
check
3/4*13/2=39/8
=4 7/8
Answer:
336
Step-by-step explanation:
We know that a cube has 6 faces which means we can use this equation:
56 x 6 = 336
336 square inches is the answer.
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)
