Answer:
c will be lesser or equal to 96
Step-by-step explanation:
C<=96
Using it's concept, it is found that the marginal relative frequency for students who plan to attend college is of 82%.
<h3>What is a relative frequency?</h3>
A relative frequency is given by the <u>number of desired outcomes divided by the number of total outcomes</u>.
In this problem, there are a total of 82 students, 67 of which plan to attend college, hence the relative frequency is:
f = 67/82 = 0.82 = 82%.
More can be learned about relative frequencies at brainly.com/question/15164292
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Answer:
The length = 20
The width = 12
Explanation:
Let the Length of the garden be L and the Width W
Therefore the area of the garden = L*W
But we know that L = W + 8
Therefore the area of the garden can be expressed as W*(W + 8)
When the brackets are expanded this equals W^2 + 8W
The area of the recctangle which includes the path and garden will have a length of L + 8 (ie the length of the garden + 4 feet at the top and 4 feet at the bottom)
The width will be W + 8 (width of garden + 4 feet at the left and 4 feet at the right)
Therefore the area will be (W + 8)*(L +8)
Once again we know that L = W + 8
Therefore the area of the path/garden = (W +8)(W +8 +8)
=(W +8)(W +16)
=W^2 +24W + 128
We know that the path alone has an area of 320 square feet. Therefore if we subtract the area of the garden (W^2 + 8W) from the area of the path/garden the area left is the area of the path only
Therefore W^2 + 24W + 128 - (W^2 + 8W) = 320
W^2 + 24W + 128 - W^2 - 8W = 320
Simplify
16W + 128 = 320
Subtract 128 from both sides of the equation
16W = 192
divide both sides of the equation by 16
W = 12
As L = W + 8
L = 12 + 8 = 20
