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A city is served by two newspapersthe Tribune and the Daily News. Each Sunday reader purchases one of the newspapers at a stand. The following transition matrix contains the probabilities of a customers buying a particular newspaper in a week, given the newspaper purchased the previous Sunday:
This Sunday Next SundayTribune Daily NewsTribune .65.35Daily News .45.55
Determine the steady-state probabilities for this transition matrix algebraically and explain what they mean.
Let R be a principal ideal domain and a, b, in R, not both zero. Prove that a, b have a greatest common divisor that can be written as linear combination of a and b.
Let F be a finite field. Prove that F[x] contains infinitely many primes. (note that over an infinite field the polynomials of degree 1 are an infinite set of primes in the ring of polynomials).
Find the mean score
If Player A gets to throw 2 darts and Player B gets to throw 5 darts, how do you calculate the probability of Player A or Player B getting the highest total score?
Linear Regression features to find the equation for V.
find the rate at which water is being pumped into the tank in cubic centimeters per minute.
Augmented matrices to solve the word problem
The temperature of a plate at the point (x,y) is given by T(x,y) = 300+ 3x^2 -2y^2. A heat hating ant is located at the point (3,2).
The equation of tangent line.
Use a rectangle to explain the process of adding 1/4 and 2/3 - Explain your answer. What multiplication problems are represented by each of the following area models? What are the products?
Let x, y be elements in the Boolean algebra B. Prove that x = y if and only if xy + xy = 0. How many rows are needed to construct the (function) table for a Boolean function of n variables?
You can operate a train if at least 200 people buy tickets. The fare will be $8 per person if 200 people buy tickets, but will decrease 1 cent for each additional person over 200. what number of passangers will bring the railroad the maximum reven..
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