|x + 1| + |x + 2| = 3
2 answers:
Answer:
0
Step-by-step explanation:
Since there is no negative sign with x, you could just take out the absolute signs.
So after you take them out you have:
x+1+x+2=3
Now, combine like terms:
x+x=2x
1+2=3
Combine into an equation:
2x+3=3
Subtract 3 on both sides:
2x+3-3=3-3
2x=0
Divide 2 on both sides:
x=0
(It would be undefined if it was )
But because it is , it would just be 0.
Hope this helped!
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Answer:
In the long run, ou expect to lose $4 per game
Step-by-step explanation:
Suppose we play the following game based on tosses of a fair coin. You pay me $10, and I agree to pay you $n^2 if heads comes up first on the nth toss.
Assuming X be the toss on which the first head appears.
then the geometric distribution of X is:
X geom(p = 1/2)
the probability function P can be computed as:
where
n = 1,2,3 ...
If I agree to pay you $n^2 if heads comes up first on the nth toss.
this implies that , you need to be paid
∵ X
geom(p = 1/2)
Given that during the game play, You pay me $10 , the calculated expected loss = $10 - $6
= $4
∴
In the long run, you expect to lose $4 per game