How many cubic feet will it take to fill the prism below
2 answers:
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The length of material needed for the border is the perimeter of the backyard play area
<h3>How to calculate the length of material needed </h3>The area of the play area is given as:
The area of a trapezoid is calculated using:
Where L1 and L2, are the parallel sides of the trapezoid and H represents the height.
The given parameter is not enough to solve the length of material needed.
So, we make use of the following assumed values.
Assume that the parallel sides are: 25 feet and 31 feet long, respectively.
While the other sides are 10.2 feet and 8.2 feet
The length of material needed would be the sum of the above lengths.
So, we have:
Using the assumed values, the length of material needed for the border is 74.4 feet
Read more about perimeters at:
Answer:
Step-by-step explanation:
Notice that the focus is a points on the vertical axis, that means the parabolla opens vertically, and has the form
Because the parameter is positive and equal to 0.75. Additionally, the vertex is at the origin, that's why the equation is this simple.
Replacing the parameter value, we have
Therefore, the equation of a parabolla with vertex at the origin and focus at (0, 0.75) is .
Answer:
a) Margin of error = 166.311
b) sample size ≥ 62
Step-by-step explanation:
Given:
Average cost = $1599
Sample size = 50 persons
Standard deviation = $600
Confidence level is 95%
a) Margin of error =
Now for confidence level of 95% z-value = 1.96
Thus,
Margin of error =
or
Margin of error = 166.311
b) For Margin of error ≤ 150
≤ 150
or
≤ 150
or
≤ √n
or
√n ≥ 7.84
or
n ≥ 61.4656
Therefore,
sample size ≥ 62