Let x = the length of the rectangle
Let w= the width
Two sections are required, hence 2w of fence required
2x+3w=500
this can be written as:
3w=1500-2x
w=(1500-2x)/3
Area=x*w
replacing w with our expression:
A=x(1500-2x)/3
A=(500x-2x^2)/3
This is a quadratic equation, if we find the axis of symmetry we will know what value of x gives maximum area:
Axis of symmetry: x=-b/2a
From our equation we get:
a=-2/3; b=1500/3
thus
x=(1500/3)/(-(-2/3))
x=750
thus the maximum area will be given by length of 750
Answer:
This should help you!
Step-by-step explanation:
http://money.com/money/4508221/iphone-7-mark-up-profit-margins/
Answer:
d. H0 : pˆ = .6, Ha: pˆ > .6
Step-by-step explanation:
Given that a minister claims that more than 60% of the adult population attends a religious service at least once a month.
Here the subject of interest about a proportion of adult population who attends a religious service at least once a month.
The claim is this proportion is greater than 60% and we want to check whether this claim is true.
Hence hypotheses would be for proportion only and not mean.
Since population proportion is to be checked we use p hat
Correct answer is
d. H0 : pˆ = .6, Ha: pˆ > .6
Answer:
r = -39
Step-by-step explanation:
So we are trying to solve the equation for r.
-6(2r + 8) = -10(r - 3)
Divide both sides by -2. (This will make distributing much easier.)
3(2r + 8) = 5(r - 3)
Distribute the 3 on the left side and the 5 on the right side,
6r + 24 = 5r - 15
Subtract 24 from both sides.
6r = 5r - 39
Subtract 5r from both sides.
r = -39
So now we have solve the equation.
I hope you find my answer and explanation to be helpful. Happy studying. :)