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1. The sum of three numbers is 6. The third number is the sum of the first and second numbers. The first number is one more than the thrid number. Find the numbers.
2. Sports - Alexandria High School scored 37 points in a football game. Six points are awarded for each touchdown. After each touchdown, the team can earn one point for the extra kick or two points for a 2 point conversion. The team scored one fewer 2 point conversions than extra kicks. The team scored 10 times during the game. How many touchdowns were made during the game?
Investigate puzzle and explain the solution to the paradox using mathematical reasoning.
Find how many ways are there of winning the World Series in exactly six games if the winning team wins the first game?
Probabilities of deck of cards. A card is drawn from a well-shuffled deck of 52 cards. What is the probability of obtaining a diamond or a card smaller than 5?
Write a method to calculate the area of a circle. Return the area and write a method to calculate the circumference of a circle.
Prove that the regression line passes through the centroid
Make the appropriate test statistics & the rejection of your test.
A coin is tossed 3 times. Discrete random variable X is equal to the number of times Heads comes up. Discrete random variable Y has the value 1 if the first toss comes up heads and 0 otherwise.
A committee consists of 8 married couples. In how many ways can a subcommitee of 5 people be chosen so that at most one married couple
Compute the probability based on the distribution.
Evaluate the speed of the cyclist algebraically and Find the height of the ball drop and the time taken to reach the ground.
Step by step process in solving the following question. Using matrix algebra techniques, find a general solution of the system:
If I treat the upper block as a 2x2 matrix, I can find P = [1 0; 1 1] (Note: Using Matlab notation here). This correctly results in INV(P)AP = [3 1; 0 3] which is in the form needed.
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