The expected gain or loss is an illustration of mean and expected values.
The expected total gain is 83 points
The given parameters are:
- Addition of 20 points for rolling a 6
- Removal of 3 points for not rolling a 6
The probability of rolling a 6 in a fair die is 1/6.
The probability of not rolling a 6 in a fair die is 5/6.
So, the expected gain in each game is:


Take LCM


The number of games is 100.
So, the expected gain is:


Hence, the expected total gain is 83 points
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Answer:
(8x-9)(8x+9)
Step-by-step explanation:
64x^2 - 81
Rewriting
(8x)^2 - 9^2
We recognize that this is the difference of squares
a^2 - b^2 = (a-b)(a+b)
(8x-9)(8x+9)
(1/10 (x)) fewer than the sum of 1/5 (y) and 2x so
1/10 (x)=1/10 times x=x/10
1/5 (y)=y/5
-x/10+y/5+2x
simplified it is
19x/10+y/5
Let's call the height of the tower
and the distance from the 65 degree angle to the base of the tower
.
We get two equations:







Answer: 48