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Yanka [14]
2 years ago
10

Caleb has a four sided die, a six sided die, and a twelve sided die. He rolls the three dice and adds up the numbers showing. Wh

at is the expected value of the sum of the rolls
Mathematics
1 answer:
jolli1 [7]2 years ago
3 0

Answer: the expected value of the sum of the rolls is 12.5

Step-by-step explanation:

Given that

Caleb has 4 sided die, 6 sided die and 12 sided die

first we calculate the expected number of each of the dice

so Expected number for 4 sided die will be;

E(X1)4-sided = ( (1+2+3+4) / 4 ) = 2.5

E(X2)6-sided = ( (1+2+3+4+5+6) / 6 ) = 3.5

E(X3)12-sided = ( (1+2+3+4+5+6+7+8+9+10+11+12) / 12 ) = 6.5

so, the expected value of the sum of the roll will be

E(X) = ( E(X1) + E(X2) + E(X3)

E(X) = 2.5 + 3.5 + 6.5

E(X) = 12.5

Therefore,  the expected value of the sum of the rolls is 12.5

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Find the reciprocal of the expression. 10b/2b + 8
Alexus [3.1K]
Comment
I think you need brackets to clarify what you mean. I think it should be written as 
10b/(2b + 8) 

If that is the case the reciprocal is

(2b + 8)/10b You just turn everything up side down. There are technical ways of doing this, but the easiest way is just to do what I just did. 

Put the numerator in  the denominator,
Put the denominator in the numerator.

You could simplify this a bit.
2b/10b + 8/10b
which reduces further.

1/5 + 4/5b 
Just to make sure you understand where that b is, I will do this in

Latex.\frac{2b + 8}{10b} =  \frac{2b}{10b} +  \frac{8}{10b} =  \frac{2}{10} + \frac{4}{5b} =  \frac{1}{5} +  \frac{4}{5b}

Alternate answer
If you do mean what your wrote then the reciprocal is 2b / 10b + 8 which is 1/5 + 8 = 8 + 0.2 = 8.2 

The 8 has nothing to do with the reciprocal under these conditions.

The answer
I have given you all the choices I can think of without going into decimals. If you have choices, please list them under the comments.
6 0
3 years ago
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