The student government wants to determine the theme for the eighth grade dance. Which group would it be best to take a sample fr
2 answers:
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Let x and y be the dimensions of the rectangle. If the perimeter is 40, we have
We can expression one variable in terms of the others as
Since the area is the product of the dimensions, we have
This is a parabola facing down, so it's vertex is the maximum:
So, the maximum is
And since we know that , we have
as well.
This is actually a well known theorem: out of all the rectangles with given perimeter, the one with the greatest area is the square.
Answer:
Expected Value = 0.9206
so expected value we expect 1 liberal to be chose
Step-by-step explanation:
given data
delegation = 3 selected
liberals = 4
conservatives = 5
solution
we know that Delegates total 4 liberals 5 conservatives.
so here Probability of getting a liberal is
Probability of getting a liberal =
and
Expected Value will be here
Expected Value = 3
Expected Value = 0.4444 + 0.3333 + 0.1428
Expected Value = 0.9206
so expected value we expect 1 liberal to be chose