Answer:
6
Step-by-step explanation:
24 divided by 4
Answer:
5
Step-by-step explanation:
Answer:
m<1 = 136
m<4 = 44
Step-by-step explanation:
Exterior angle thm:
<2 + <3 = <4
4x + 2 + 5x - 3 = 8x + 4
9x - 1 = 8x + 4
9x - 8x = 4 + 1
x = 5
m<4:
8x + 4
8(5) + 4
40 + 4
44
m<1 and m<4 are supplementary (they add up to 180) so:
m<1 + m<4 = 180
m<1 + 44 = 180
m<1 = 136
Answer:

And we can calculate this with the complement rule like this:

And using the cdf we got:
![P(X>2) = 1- [1- e^{-\lambda x}] = e^{-\lambda x} = e^{-\frac{1}{2.725} *2}= 0.480](https://tex.z-dn.net/?f=%20P%28X%3E2%29%20%3D%201-%20%5B1-%20e%5E%7B-%5Clambda%20x%7D%5D%20%3D%20e%5E%7B-%5Clambda%20x%7D%20%3D%20e%5E%7B-%5Cfrac%7B1%7D%7B2.725%7D%20%2A2%7D%3D%200.480)
Step-by-step explanation:
Previous concepts
The exponential distribution is "the probability distribution of the time between events in a Poisson process (a process in which events occur continuously and independently at a constant average rate). It is a particular case of the gamma distribution". The probability density function is given by:
And 0 for other case. Let X the random variable of interest:

Solution to the problem
We want to calculate this probability:

And we can calculate this with the complement rule like this:

And using the cdf we got:
![P(X>2) = 1- [1- e^{-\lambda x}] = e^{-\lambda x} = e^{-\frac{1}{2.725} *2}= 0.480](https://tex.z-dn.net/?f=%20P%28X%3E2%29%20%3D%201-%20%5B1-%20e%5E%7B-%5Clambda%20x%7D%5D%20%3D%20e%5E%7B-%5Clambda%20x%7D%20%3D%20e%5E%7B-%5Cfrac%7B1%7D%7B2.725%7D%20%2A2%7D%3D%200.480)
Answer:
g(-1) = 4
Step-by-step explanation:
Given:
g(x) = 
To find g(-1), substitute x = -1
Thus:
g(-1) = 
g(-1) = 
= 
= 
g(-1) = 4