Answer: the sum of the squares of the lengths of the legs of a right triangle equal the square of the length of the hypotenuse
Step-by-step explanation: hope it helps
Answer:
x = 14
Step-by-step explanation:
The triangle has 2 congruent legs and is isosceles with 2 base angles being congruent , then
5x = 3x + 28 ( subtract 3x from both sides )
2x = 28 ( divide both sides by 2 )
x = 14
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:
14. x=30, y=15, z=165
15. x=10, y=25
Step-by-step explanation:
Answer:
In general, 5 and 3 quarters would be 5.75 :)
Remember, there are 4 quarters in $1.00