The rate of change for function A is 2. It would originally be 2 over one but you can just simplify it down to 2. The rate of change for function B is 3. Which would also originally be 3 over 1.
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: x=3
Step-by-step explanation: Subtract 6 from both sides, Simplify
15−6 to 9, and then divide both sides by three.
3x=15−6
3x=9
x=9/3
x=3
Hope this helps, have a BLESSED day! ☺️
Answer:
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Step-by-step explanation:
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Answer:
x = 16 y= 16√3
Step-by-step explanation:
we know that a angle is 60 degrees. Thanks to this information we can say that x is half the hypothenuse, so is value is 16.
y can be express as √3/2 x 32 = 16√3
