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Three-person Problem of Points: Pascal, Fermat and their old friend the Chevalier de Mere each put $10.00 into a pot, and agree to play a game that has rounds. Each player has the same probability of winning each round. They agree to play until someone has won 10 rounds, and that person will get the entire pot. However, they are forced to stop playing after Pascal has won 8 rounds, Fermat has won 7 rounds and the Chevalier has won 9 rounds. How should they divide the pot?
Q. What is a percentage? Ans. Percent means "per hundred", or "out of 100". A percentage can be written as a ratio, or fraction, where the denominator (bottom) is 100.
Solve 4 sin 2 ( t ) - 3 sin ( t /3)= 1 . Solution Before solving this equation let's solve clearly unrelated equation. 4x 2 - 3x = 1 ⇒ 4x 2 - 3x -1 = ( 4x + 1) ( x
if .77x + x = 8966.60, what is the value of x?
Given y = f(x) = x 2 + 2x +3 a) Use the definitional formula given below to find the derivative of the function. b) Find the value of the derivative at x = 3.
Higher Order Derivatives : Let's begin this section with the given function. f ( x ) = 5x 3 - 3x 2 + 10 x - 5 By this point we have to be a
The temperature at 6 P.M. was 31°F. Through midnight, it had dropped 40°F. What was the temperature at midnight? Visualize a number line. The drop from 31° to 0° is 31°. There
Multiple Linear Regression Models There are situations whether there is more than one factor which influence the dependent variable Illustration Cost of production weekl
Taylor Series - Sequences and Series In the preceding section we started looking at writing down a power series presentation of a function. The difficulty with the approach
The sum of two consecutive odd integers is -112. What is the larger integer? Two consecutive odd integers are numbers in order such as 3 and 5 or -31 and -29, that are each 2 n
using 5 rectangles what is the area under a curve using the function f(x)=3x+4 and boundries [0,2]
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