From the information given:
Random wins 2000 800 400 0
Probabilities 1/10^4 4/10^4 10/10^4 9985/10^4
thus the expectation will be:
E(x)=[2000+4*800+4000+9985*0]/10^4
E(x)=9200/10000
E(x)=$0.92
Answer:

Step-by-step explanation:


We use binomial expansion for 
This can be rewritten as
![[x(1+\dfrac{h}{x})]^{\frac{1}{2}}](https://tex.z-dn.net/?f=%5Bx%281%2B%5Cdfrac%7Bh%7D%7Bx%7D%29%5D%5E%7B%5Cfrac%7B1%7D%7B2%7D%7D)

From the expansion

Setting
and
,


Multiplying by
,



The limit of this as
is
(since all the other terms involve
and vanish to 0.)
Answer:
A. Divide both sides of the equation by 3, and then subtract 6 from both sides of the equation. The solution is x = 1.
Step-by-step explanation:
3(x + 6) = 21
Divide both sides by 3
(x + 6) = 7
Subtract 6 from each side
x = 7-6
x=1
The angles are <span>supplementary
</span>
7x + x + 20 = 180
8x = 160
x = 20
Answer:
66
Step-by-step explanation:
I don't know the explanation but the answer is correct.