8. Factor the expression x3 + 6x – 5x2 completely.
1 answer:
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Answer:
14,16
Step-by-step explanation:
Let x be the first even number.
Let y be the 2nd even number.
Given, y - x = 2 (Since they are 2 consecutive even numbers.)
rearranging the equation: y = x+2 (equation 1)
Also given,
(equation 2)
Now we can substitute equation 1 into equation 2 to find x.
Given the smaller even number x, is 14, we will substitute x into equation1 to find y, the bigger even number.
y = 14+2
= 16
Therefore the 2 numbers are 14 and 16.
The lottery's anticipated worth is $80.
Given that,
The probability of receiving $125 is 0.25; the likelihood of receiving $100 is 0.3; and the likelihood of receiving $50 is 0.45.
A) EV=125*.2+100*.3+50*.5=$80
The lottery's anticipated worth is $80.
The expected value is obtained by multiplying each result by its likelihood.
The expected value of the lottery is then calculated by adding up all of these.
This is what we have: ;;
125(0.2) + 100(0.3) + 50(0.5) (0.5)
= 25 + 30 + 25 = $80
B) This is the formula for variance is shown in figure :
So, we can calculate the variance as follows:
.2*(125-80)^2+.3*(100-80)^2+.5*(50-80)^2=975
C) A risk-neutral person would pay $80 or less to play the lottery.
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