The last one! Because every input has to have a different output! And the last one all have different output compared to the other ones that have the same output with different inputs which does not represent a function
Answer:
Step-by-step explanation:
x^2 + 8^2 = 9^2
x^2 + 64 = 81
x^2 = 17
x = sqrt(17)
answer is D
Let 
denote the number of encounters required to see a new Pokemon after having encountered 
of them. Then 
.
If Gary has already seen Pokemon, that leaves 
still to be encountered, and the next new encounter has a probability of 
of occurring. Then is geometric, with PMF
Then the expectation and variance of are
![E[K_i]=\dfrac1{p_i}=\dfrac m{m-(i-1)}](https://tex.z-dn.net/?f=E%5BK_i%5D%3D%5Cdfrac1%7Bp_i%7D%3D%5Cdfrac%20m%7Bm-%28i-1%29%7D)
![V[K_i]=\dfrac{1-p_i}{{p_i}^2}=\dfrac{m(i-1)}{(m-(i-1))^2}](https://tex.z-dn.net/?f=V%5BK_i%5D%3D%5Cdfrac%7B1-p_i%7D%7B%7Bp_i%7D%5E2%7D%3D%5Cdfrac%7Bm%28i-1%29%7D%7B%28m-%28i-1%29%29%5E2%7D)
is the total number of encounters needed to record all 
Pokemon, so
By linearity of expectation,
![E[K]=\displaystyle\sum_{i=1}^mE[K_i]=\sum_{i=1}^m\frac m{m-(i-1)}=\frac mm+\frac m{m-1}+\frac m{m-2}+\cdots+\frac m1](https://tex.z-dn.net/?f=E%5BK%5D%3D%5Cdisplaystyle%5Csum_%7Bi%3D1%7D%5EmE%5BK_i%5D%3D%5Csum_%7Bi%3D1%7D%5Em%5Cfrac%20m%7Bm-%28i-1%29%7D%3D%5Cfrac%20mm%2B%5Cfrac%20m%7Bm-1%7D%2B%5Cfrac%20m%7Bm-2%7D%2B%5Ccdots%2B%5Cfrac%20m1)
![E[K]=m\displaystyle\sum_{i=1}^m\frac1i](https://tex.z-dn.net/?f=E%5BK%5D%3Dm%5Cdisplaystyle%5Csum_%7Bi%3D1%7D%5Em%5Cfrac1i)
The are independent, so the variance is
![V[K]=\displaystyle\sum_{i=1}^mV[K_i]=\sum_{i=1}^m\frac{m(i-1)}{(m-(i-1))^2}](https://tex.z-dn.net/?f=V%5BK%5D%3D%5Cdisplaystyle%5Csum_%7Bi%3D1%7D%5EmV%5BK_i%5D%3D%5Csum_%7Bi%3D1%7D%5Em%5Cfrac%7Bm%28i-1%29%7D%7B%28m-%28i-1%29%29%5E2%7D)
![V[K]=m\displaystyle\sum_{i=0}^{m-1}\frac i{(m-i)^2}](https://tex.z-dn.net/?f=V%5BK%5D%3Dm%5Cdisplaystyle%5Csum_%7Bi%3D0%7D%5E%7Bm-1%7D%5Cfrac%20i%7B%28m-i%29%5E2%7D)
Answer:
1.) The answer is b = 6
2.) The answer is t = 10
Step-by-step explanation:
For the first equation in order to fin out the answer we do.....
b + 8 = 14
b + 8 - 8 = 14 - 8
b = 6
For the second question we do....
25 - t = 15
25 - t + t = 15 + t
25 = 15 + t
25 - 15 = 15 + t -15
10 = t
Answer Would Be 7am. Just take 6hours away from 1pm
