Answer:
we have ![p_{51} = \frac{1}{100}](https://tex.z-dn.net/?f=p_%7B51%7D%20%3D%20%5Cfrac%7B1%7D%7B100%7D)
Step-by-step explanation:
considering circle with 100 points on it and then placing the wolf on one and sheep on rest.
pi = P( sheep on i-th spot is eaten at last}
As in the question we need to find probability of sheep opposite to the wolf, so p_{51}. observe each last spot is replaced by i-1 after eating
Byy LOTP we know thta![pi = \frac{1}{2}pi-1 + \frac{1}{2}pi + 1, i \epsilon {2,... 99}](https://tex.z-dn.net/?f=pi%20%3D%20%5Cfrac%7B1%7D%7B2%7Dpi-1%20%2B%20%5Cfrac%7B1%7D%7B2%7Dpi%20%2B%201%2C%20i%20%5Cepsilon%20%7B2%2C...%2099%7D)
also these pi need to satisfy
![\sum_{i=1}^{100} pi =1](https://tex.z-dn.net/?f=%5Csum_%7Bi%3D1%7D%5E%7B100%7D%20pi%20%3D1)
some sheep is eaten at last. Distribution is
![pi = \frac{1}{100}](https://tex.z-dn.net/?f=pi%20%3D%20%5Cfrac%7B1%7D%7B100%7D)
satisfies above equation, therefore we have ![p_{51} = \frac{1}{100}](https://tex.z-dn.net/?f=p_%7B51%7D%20%3D%20%5Cfrac%7B1%7D%7B100%7D)
N = 5
These are similar triangles so their sides are proportional. The scale factor is the smaller triangle to the large triangle is
5/12.5 = 4/10 = 2/5
So if AB corresponds to QR (2 corresponds to n) then n = 5
Answer:1 1/15
Step-by-step explanation:2 2/3 minus 1 9/15 is 1 /15 because I said so.
-3x + 4x + 2y - 3y = x - y.
4m - 6mn - 4m - mn = -7mn.
9g - 8h - 3h - 4g = 5g - 11h.
Hope this helps,
Davinia.