Answer:
you should play the game with the probability of winning is one tenth
Step-by-step explanation:
If the probability of winning an instant prize game is one tenth, <u>then the odds in the game can be described as 1:9</u> . The odds are clearly better than the game with odds 1:10.
In other words,
If the odds of winning a instant prize game are 1:10, <u>then the probability of winning the game is one eleventh</u>. This is a lower probability than the game which has the probability of winning one tenth.
Answer:
Check the explanation
Step-by-step explanation:
(a)Let p be the smallest prime divisor of (n!)^2+1 if p<=n then p|n! Hence p can not divide (n!)^2+1. Hence p>n
(b) (n!)^2=-1 mod p now by format theorem (n!)^(p-1)= 1 mod p ( as p doesn't divide (n!)^2)
Hence (-1)^(p-1)/2= 1 mod p hence [ as p-1/2 is an integer] and hence( p-1)/2 is even number hence p is of the form 4k+1
(C) now let p be the largest prime of the form 4k+1 consider x= (p!)^2+1 . Let q be the smallest prime dividing x . By the previous exercises q> p and q is also of the form 4k+1 hence contradiction. Hence P_1 is infinite
Answer: 11.775
If you plug in the radius (0.5 because the radius is half of the diameter) and the height to the formula for volume of a cylinder you will get pi•0.5 squared•15 which when solved is 11.775.
Answer:
what??????????
Step-by-step explanation:
Here, Take any two coordinates: (0, 1) & (4, -2)
Slope, m = y2 - y1 / x2 - x1
m = 1 - (-2) / 0 - 4
m = 3/-4
m = -3/4
In short, Your Answer would be Option D
Hope this helps!