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Derive an identity for nCk via inclusion-exclusion by counting the k-multisets of [n] in which each element of [n] appears at most once. use p_i = "element i appears more than once in the multiset" as the i-th property, for 1<=i<=n
The marketing department at Bodnar Industries is developing a promotional campaign to introduce a new product. A listing of the various activities required, their immediate predecessors, and estimates of their times (in days) is given below.
Find the ending balance in an account that opens with $6,610, earns 10.5% interest compounded monthly, and is held for 5 years. (Round your answer to the nearest cent.)
Probability of a singled parent in US military from the army. This table shows the breakdown of 89 thousand single parents in the us military in a certain year. All numbers are in thousands and rounded to the nearest thousand
Determine the expected payoff of the game
Show that the equation AX = B represents a linear system of two equations in two unknowns Solve the system and substitute into the matrix equation to check your results
Recall that S_N (f)(x)= sum (n=-N to N) c_n e^{inx}= 1/2pi integral (from -pi to pi) f(x-t)sin ((N+1/2)t)/sin(t/2) dt
How do you write a system of linear equations in two variables? ??Explain this in words and by using mathematical notation in an equation.
Find the hypothesis and the null hypothesis
Description of Directional Derivative and how the dot product can be used to justify that the gradient points in the direction of maximum of a function.
Please explain how to solve the following: Use the disk method to verify that the volume of a right circular cone is 1/3pir^2h.
Water is pumped out of a holding tank at a rate of 6 - 6e-0.14t liters/minute, where t is in minutes since the pump is started. If the holding tank contains 1000 liters of water when the pump is started, how much water does it hold one hour later?
find the interest and the amount repaid using a 360-day year. round to the nearest cent. $9400.00principal, 10%rate, 36 days time. need to find the interest and amount.
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