Answer:
![P(X>2) = 1-P(X\leq 2) =1- [ 1-e^{-\frac{1}{87} x}]= e^{-\frac{1}{87}*120}=0.252](https://tex.z-dn.net/?f=%20P%28X%3E2%29%20%3D%201-P%28X%5Cleq%202%29%20%3D1-%20%5B%201-e%5E%7B-%5Cfrac%7B1%7D%7B87%7D%20x%7D%5D%3D%20e%5E%7B-%5Cfrac%7B1%7D%7B87%7D%2A120%7D%3D0.252)
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 that represent "The number of years a radio functions" and we know that the distribution is given by:
Where 
Solution to the problem
The cumulative distribution function for the exponential distribution is given by:
We need to take in count that 2hours = 120 minutes and 3 hours = 180 minutes
And we want to find these probabilities:
Y=5x+6 will pass through (1,11) and it is parallel to y=5x-7
5x can be interpreted as 5/1, which is the rise over run ( rise / run )
for every X value the line will go up by five
Y=Mx+B
If we start at 11 and go down by five we get 6, this means if we have a B value of 6, with a rise/run of 5/1. at the first X value (1, Y), the Y value will be 11. (1,11)
I'm bad at explaining so ask away and ill further elaborate.
Answer:m∠7
Step-by-step explanation: There isn't much to go off of but from my experience that is the one that is congruent with the other
I hope this helps :)
Answer:
x = 0
Step-by-step explanation:
Subtract 25x^2 from both sides
24x^2 + bx^2 - 25x^2 - 25x^2
Simplify
bx^2 - x^2 = 0
Factor bx^2 - x^2: x^2(b - 1)
bx^2 - x^2
Factor out common term x^2
= x^2 (b - 1)
x^2(b - 1) = 0
Using the Zero Factor Principle: If ab = 0 then a = 0 or b = 0
x^2 = 0
Apply rule x^n = 0 x = 0
x = 0
Answer: To find the price per pound we must divide 7.77 by 3, 7.77/3=2.59. So the price per pound for the gummy bears is 2.59$.
