Answer:
0.1827
Step-by-step explanation:
Given mean of exponential distribution = 100
==> 1/χ = 100 ==> χ = 1/100 ==> χ = 0.01
PDF of χ , f(x) = χe^(-χx), x ≥ 0
===> f(x) = 0.01e^(-0.01x), x ≥ 0
Now we find the probability that the demand will exceed 170 cfs during the early afternoon on a randomly selected day
P(X>170) = <em>∞∫170 </em>f(x)dx
P(X>170) = <em>∞∫170 </em>0.01 e^(0.01x) dx
P(X>170) = [e^(-0.01x) / -0.01]^<em>∞ </em><u>base</u> 170
P(X>170) = -1 [e^-∞ - e^-0.01*170]
P(X>170) = e^-1.7
P(X>170) = 0.1827
The probability that the demand will exceed 170 cfs during the early afternoon on a randomly selected day is 0.1827
Answer:
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<span>f(x)=<span><span><span>x2</span>−1</span><span>x−1
</span></span></span><span>I just gave you a rational function that has a hole at x=1</span>
Answer:
Step-by-step explanation:
Lets assume that a sphere with greater radius = R = 5cm
And a sphere with smaller radius = r = 4cm
Volume of a sphere = 4/3 π * r³
To find the volume of a sphere with radius 5.
Put the value in the formula.
=4/3π * r³
=4/3π *(5)³
5³ = 5*5*5=125
=4/3π * 125
=4/3 *3.14 *125
=1570/3
=523.3 cm³
Now find the volume of sphere with radius= 4
4/3π*r³
=4/3π * 4³
4³= 4*4*4=64
=4/3*3.14*64
=803.84/3
=267.9cm³
Now to find the space between the spheres subtract the volume of smaller sphere from the volume of larger sphere.
We can write it as:
Space between the spheres = Volume of larger sphere - Volume of smaller sphere
= 523.3 cm³ - 267.9cm³
= 255.4cm³ ....