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:
-3/2 is the factor would multiply the second equation to eliminate y.
The correct option is (C).
<h3>What is factor?</h3>
A number or algebraic expression that divides another number or expression evenly—i.e., with no remainder.
Given equation is :
9x+3/4 y =6
2x+1/2 y =9
If we have to eliminate the y variable so we have to multiply it by factor -3/2
Then the second equation become
-3/2(2x+1/2 y =9)
-3x- 3/4 y =- 27/2
As we can see the y variable of both the equation is same.
Hence, -3/2 is the factor would multiply the second equation to eliminate y.
learn more about this concept here:
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Answer:
no, it's not.
Step-by-step explanation:
300- 284 = 16
284 - 236 = 48
236 - 156 = 80
156 - 44 = 112
for every one the top line goes up, the bottom line changes too, but it's not at a constant rate. it's not constant, therefore it cannot be linear.
the rate of change formula (or slope formula, they're the same thing) is :
y2- y1/ x2 -x1 and to solve it you plug in the points. x is the same a t and y is h
284-300/ 1-0
-16 /1
-16 (this is the rate of change between the first two points)
236- 284/ 2-1
-48/ 1
-48 (rate of change between the second and third points)
since the rate of change isn't constant, it's not possible for it to be a linear relationship.
(-6)(-0.4)(-0.5) = (-1)6⋅4⋅5⋅10⁻² = -1.2
Answer:
The correct option is B.
Step-by-step explanation:
The amount of money, in dollars, in a savings account after x years is given by 
This above equation represents that $10000 becomes M(x) after x years at a rate of interest 3% compounded in each year.
Therefore, the value in the expression 1.03 represents that there is a 3 percent increase in the savings account each year.
So, the correct option is B. (Answer)
