Answer:
Step-by-step explanation:
The geometric distribution represents "the number of failures before you get a success in a series of Bernoulli trials. This discrete probability distribution is represented by the probability density function:"
Let X the random variable that measures the number os trials until the first success, we know that X follows this distribution:
In order to find the expected value E(1/X) we need to find this sum:

Lets consider the following series:
And let's assume that this series is a power series with b a number between (0,1). If we apply integration of this series we have this:
(a)
On the last step we assume that
and
, then the integral on the left part of equation (a) would be 1. And we have:

And for the next step we have:

And with this we have the requiered proof.
And since
we have that:
Answer:
5x+ 4
Step-by-step explanation:
First, put all of the x variables together. So 3x+4x=7x
7x + 4 -2x Since the 2x is negative you can subtract it from 7x and get 5x.
you can not add the four to the 5x because it does not have a matching variable.
So, you have: 5x+ 4
Answer:
$936.94
Step-by-step explanation:
Remember, that because you paid $2,175 up front (down payment), you can borrow $2,175 less from the bank to purchase the car. So first step: Take new car price of $19,725.00 and multiply it by the sales tax percentage ($19,725 * 0.0475) to get $936.94 of tax.
C
The numbers on the left represent 10 times that number
The numbers on the right are added to the end of the number on the left so
3I1=31 and 4I8=48 and 3I 1 1 2= 31 31 32
A more accurate method for approximating the volume of the spherical slab other than using just cylindrical slabs is the; use the cross sections of the actual sphere, and to not use the cylindrical slabs.
<h3>What is a Cylinder?</h3>
A Cylinder is a surface created by projecting a closed two-dimensional curve along an axis intersecting the plane of the curve.
Sphere
This is a regular three-dimensional object in which every cross-section is a circle; the figure described by the revolution of a circle about it's diameter.
Therefore, the use of cross sections of the actual sphere is a more accurate method for approximating the volume of the spherical slab.
Learn more about cylindrical slab:
brainly.com/question/9554871
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