Answer:
Step-by-step explanation:
Area of the rectangular piece A = xy
x is the length
y is the width
Perimeter =2x+2y
Given
Perimeter = 3044yds
3044 = 2x+2y
1522 = x+y
x = 1522-y
Substitute into the formula for area
A = xy
A = (1522-y)y
A = 1522y-y²
To maximize the area, dA/dy must be zero
dA/dy = 1522-2y
0 = 1522-2y
2y = 1522
y = 1522/2
y = 761
Since x+y = 1522
X+761 = 1522
X = 761
Dimension is 761yd by 761yd
Area = 761×761 = 579121yd²
Process:
2/3x -7 = 17
17 + 7 = 24
2/3x = 24
2/3 = 24/x
24 ÷ 2 = 12
12 x 3 = 36
x = 36
Answer: X = 36
Answer:
3.5%
Step-by-step explanation:
The volume of a cylinder =
<em>r</em> = radius of cylinder,
<em>h</em> = height of cylinder
For the non-optimal can,
<em>r</em> = 2.75/2 = 1.375
<em>h</em> = 5.0
<em />
For the optimal can,
<em>d</em>/<em>h</em> = 1,
<em>d</em> = <em>h</em>
2<em>r </em>=<em> h</em>
<em>r</em> = h/2
They have the same volume.
<em /><em />
(This is the height of the optimal can)
(This is the radius of the optimal can)
The area of a cylinder is
<em /><em />
For the non-optimal can,
For the optimal can,
Amount of aluminum saved, as a percentage of the amount used to make the optimal cans =
It would be 3 dollars 9/3=3
Answer:
The planning value for the population standard deviation is of 4330.
Step-by-step explanation:
Uniform probability distribution:
The uniform probability distribution has two bounds, a and b. The standard deviation is given by:
Annual starting salaries for college graduates with degrees in business administration are generally expected to be between 20000 and 35000.
Uniform in this interval, so
What is the planning value for the population standard deviation?
The planning value for the population standard deviation is of 4330.