Z = ( 135 - μ ) / σ = -1
z = ( 165 - μ ) / σ = 1
P (x < 135) = P (z < -1) = 0.1587
P (165 < x) = P (1 < z) = 0.1587
.187 * 1000 = 187 more than 165
<span>.187 * 1000 = 187 less than 135</span>
The amount of water that will fill the tank is 11100 cu.ft to the nearest hundredth.
<h3>What is a Cylindrical figure ?</h3>
A cylinder is a three dimensional figure with two identical circular faces at each end , and a curved surface.
It does not have an edges or vertices.
It is given in the question that
A cylinder with height 14 feet and radius 25 feet.
The volume of a cylinder.
V = π252(14)
The water than can be filled is equal to the volume of the cylinder
V = 11088 cu.ft
There the amount of water that will fill the tank is 11100 cu.ft to the nearest hundredth.
To know more about Cylindrical Figure
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For this case we have the following quadratic equation:
Rewriting the equation we have:
From here, we have:
Substituting values in the quadratic equation we have:
Rewriting the equation we have:
Answer:
The values of x are given by:
