If the x-intercepts of a quadratic function are (-4,0) and (4, 0), what is the x-coordinate of the vertex?
1 answer:
9514 1404 393
Answer:
0
Step-by-step explanation:
When two points on a parabola have the same y-value, the line of symmetry is halfway between them. The vertex is on the line of symmetry. Its x-coordinate is ...
(-4 +4)/2 = 0
The x-coordinate of the vertex is 0.
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The graph shows 3 different parabolas with those x-intercepts. They all have vertices with an x-coordinate of 0.
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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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