Answer:
12
Step-by-step explanation:
you subtract the ordered pairs on the sides. then the ones on the top and bottom. then you add all of the sides
Answer:
y = 6/5x - 2
Step-by-step explanation:
use y = mx+ c
m = slope
c = y intercept
y = 6/5x - 2
Answer:
<h3> f^−1(x) = x + 7</h3>
Step-by-step explanation:
Replace f(x) with y. y = x − 7
Interchange the variables. x = y − 7
Solve for y. y = x + 7
Solve for y and replace with f^−1 (x). f^−1(x) = x + 7
I hope this helps have a great day :)
The event that either M1 or M2 fails has probability
![P(M_1\text{ fails or }M_2\text{ fails})=P(M_1\text{ fails})+P(M_2\text{ fails})-P(M_1\text{ and }M_2\text{ both fail})](https://tex.z-dn.net/?f=P%28M_1%5Ctext%7B%20fails%20or%20%7DM_2%5Ctext%7B%20fails%7D%29%3DP%28M_1%5Ctext%7B%20fails%7D%29%2BP%28M_2%5Ctext%7B%20fails%7D%29-P%28M_1%5Ctext%7B%20and%20%7DM_2%5Ctext%7B%20both%20fail%7D%29)
by the addition rule. Failure events are independent, so
![P(M_1\text{ and }M_2\text{ both fail})=P(M_1\text{ fails})P(M_2\text{ fails})](https://tex.z-dn.net/?f=P%28M_1%5Ctext%7B%20and%20%7DM_2%5Ctext%7B%20both%20fail%7D%29%3DP%28M_1%5Ctext%7B%20fails%7D%29P%28M_2%5Ctext%7B%20fails%7D%29)
so that
![P(M_1\text{ fails or }M_2\text{ fails})=p_1+p_2-p_1p_2](https://tex.z-dn.net/?f=P%28M_1%5Ctext%7B%20fails%20or%20%7DM_2%5Ctext%7B%20fails%7D%29%3Dp_1%2Bp_2-p_1p_2)
Denote this probability by
. Then
follows a geometric distribution with this parameter
and has density
![P(X=x)=\begin{cases}(1-p)^{x-1}p&\text{for }x\ge1\\0&\text{otherwise}\end{cases}](https://tex.z-dn.net/?f=P%28X%3Dx%29%3D%5Cbegin%7Bcases%7D%281-p%29%5E%7Bx-1%7Dp%26%5Ctext%7Bfor%20%7Dx%5Cge1%5C%5C0%26%5Ctext%7Botherwise%7D%5Cend%7Bcases%7D)
The expectation is
.
Answer:
The answer is 75.
Step-by-step explanation:
Average rate of change = Δy/Δx
y^2 - y^1/x^2 - x^1
925 - 400/12 - 5 = 525/7 = 75