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Maria and Thomas are part of a group of 8 women and 8 men who will participate in a chess tournament. The 16 players will be randomly paired up into groups of two.
(a) What is the probability that Maria and Thomas will be paired together?
(b) What is the probability that Maria will be paired with another woman?
(c) What is the probability that Maria will be paired with another woman and Thomas will be paired with another with a man?
(d) What is the probability that both Maria and Thomas are paired with a woman?
Trace the algorithm below and track the number of times that the addition operation (+) is executed over the course of the program's run time. Answer the question by giving a formula in terms of n:
The marginal revenue derived from producing q units of a certain commodity is R'(q) = 4q - 1.2q^2 dollars per unit. If the revenue derived from producing 20 units is $30,000 how much revenue should be expected from producing 40 units?
Solve the system of equations-Solve systems of equations with two and three variables.
Filling a tank. A water tank has an inlet pipe and a drain pipe. A full tank can be emptied in 30 minutes if the drain is opened and an empty tank can be filled in 45 minutes with the inlet pipe opened.
Solve the equations i. 6sinh theta - 4cosh theta-3=0 correct to 3 decimal places
Let f be a function that is differentiable for all real numbers. The table gives the values of f and its derivative f' for selected points x in the closed interval -1.5 0 for -1.5
That is, if they are both used, one at a time, to solve a problem with exactly the same constraints, will the optimal values of X1 and X2 be the same in both cases?
Let A be a real n x n matrix. Show that a linear subspace E of R^n is A-invariant if and only if E is e^{tA} -invariant for all t in R, where e^{tA} is the exponential matrix associated to A.
State whether each of the following fractions is a terminating or repeating decimal. If the decimal terminates, state the number of decimal places and show how you decided.
All of the graphs in occur in real life. Find a real-life application of each of the below graph and describe the characteristics of each application as related to the graph.
What is the probability of getting an A on the exam? What is the probability of getting an A in the course?
Clarification of Probability Distribution. Determine whether each of the distributions given below represents a probability distribution. Justify your answer.
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