1. Each player has a 1/3 chance of winning
2. Player A has a 1/3 chance of winning
Player B has a 4/11 chance of winning
Player C has a 2/5 chance of winning
Since the angle are both 45 degrees, then you know that both legs are equal=12.
so to find the hypotenuse, you use the pythagorean theorem:
12^2+12^2= c^2
144+144=c^2
288=c^2
square root(144) x square root (2)=c
12 square root 2 is the answer, so D.
The constant is -1 because a constant is a fixed number. You do -7+6=-1 to get the constant
Because 17 - 14 = 14 - 11 = 3, the ratio of the arithmetic series is 3;
Then, A4 = 8 - 3 = 5; A3 = 5 - 3 = 2; A2 = 2 - 3 = -1; A1 = -1 - 3 = -4.
But 68 = A1 + ( n- 1 ) x r;
68 = -4 + ( n - 1) x 3;
( n - 1 ) x 3 = 72;
n - 1 = 24;
n = 25;
Finally, Sn = ( A1 + An) x n / 2; then, S25 = ( - 4 + 68) x 25/2;
S25 = 64 x 25 / 2;
S25 = 32 x 25;
S25 = 800;
The value of sum is 800.
