Which expression is equivalent to −15x + 6
1 answer:
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Answer:
6050 square feet
Step-by-step explanation:
Based on the diagram attached, the area which the available fencing can enclose will measure X x Y feet. As the total length of fencing available is 220 feet, the fenced perimeter must equal 220 feet
Area of a rectangle is determined by multiplying the length of perpendicular sides:
The derivative of an equation determines the slope at any given point of that equation. At the maximum or minimum point of the equation, the slope will be zero. Therefore, differentiating the equation for area and equating it to zero will give the value of X where the area is maximum.
A simple variable can be differentiated using below concept:
Using the above concepts to differentiate Area and calculate X will give:
Calculating Y:
Calculating Area:
Answer:
Step-by-step explanation:
From the given information:
the mean
= 2300
Standard deviation =
Standard deviation (SD) = 214.4761
TO find:
a)
From the Z-table, since 5.595 is > 3.999
P(x > 3500) = 0.0001
b)
Here, the replacement time for the mean
= 0.25
Replacement time for the Standard deviation
For 115 component, the mean time = (115 × 20)+(114×0.25)
= 2300 + 28.5
= 2328.5
Standard deviation =
=
=
=
=
= 214.482
Now; the required probability:
From the Z-table, since 8.376 is > 3.999
P(x > 4125) = 1 - 0.9999
P(x > 4125) = 0.0001