The area is:
A = x * y = 20000
The cost function is:
C = 2.50 (2x) +3.50 (2y)
Rewriting we have:
C = 5x + 7y
Writing as a function of x we have:
C = 5x + 7 (20000 / x)
Rewriting:
C (x) = 5x + 140000 / x
We derive:
C '(x) = 5-140000 / x ^ 2
We equal zero and clear x:
0 = 5-140000 / x ^ 2
140000 / x ^ 2 = 5
x ^ 2 = 140000/5
x = root (140000/5)
x = 167.33 feet
Therefore the cost is:
C (167.33) = 5 * (167.33) + 7 * (20000 / 167.33)
C (167.33) = 1673.32 $
Answer:
The cost of the least expensive fence is:
$ 1673.32
Answer:
<u>1/ 130 is the probability that they are the 4 oldest people in the group. </u>
Step-by-step explanation:
In the question, we are given; group of 11 people, 4 are selected randomly, find probability they are the 4 oldest people from the group
P(O)= <em>favorable number of outcomes / total number of outcomes </em>
<h3>= 1 / 11C4</h3>
= 11! / (11-4)! 4!
= 7! *4! / 11!
=1/ 130
<em>Therefore, 1 / 130 is the probability that they are the 4 oldest people in the group. </em>
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The answer is 10 to the 2nd power
For a rectangle, A = LW.
A = (3x + 2)(x - 4)
A = 3x^2 - 12x + 2x - 8
A = 3x^2 -10x - 8
The probability that the employee sold two hurricane policies or sold one hurricane policy is 15/17.
According to the statement
Number of employees who sold three hurricane policies is 2
Number of employees who sold two hurricane policies is 6
Number of employees who sold 1 hurricane policies is 9
SO,
The total number of employees is 2+6+9=17.
The number that sold two hurricane policies or sold one hurricane policy is 6+9=15,
so the Probability = Total number of policies sold / total number of employees
Probability = 15/17
So, The probability that the employee sold two hurricane policies or sold one hurricane policy is 15/17.
Learn more about PROBABILITY here brainly.com/question/24756209
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