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Question: Explain how placing k identical books onto the n shelves of a bookcase can be thought of as giving us a k-element multiset of the shelves of the bookcase. Explain how distributing k identical apples to n children can be thought of as giving us a k-element multiset of the children.
Compute the complete payoff table. (Firm A has four possible allocations: 3-0, 2-1, 1-2, and 0-3. Firm B has three allocations: 2-0, 1-1, and 0-2). Is this a constant-sum game? Explain.
Find the correlation coefficient, r, for this data.
A sum when lent at 15% p.a. simple interest for x years amounted to 18125 rs. When the same sum was lent at 20% p.a. simple interest for (x+2)years it amounted to 25000rs. Find the sum? In what time does a sum double itself at 12.5%p.a. simple intere..
The Hamiltonian Path problem is the problem of determining whether a graph has a Hamiltonian Path. Explain why this problem is in NP. Explain why the problem of determining whether a graph has a Hamiltonian Path is NP-complete.
1.Find the area of the region enclosed between y=2sin(x) and y=4 cos(x) from x=0 to x=0.6pi.
In an experiment, a 5-kg mass is suspended from a spring. The displacement of the spring-mass equilibrium from the spring equilibrium is measured to be 75 cm.
Write a Matlab program to: 1)Using the classical Monte-Carlo method, estimate the value of the following integral: I = ∫01 x(1-x)3 dx Also, estimate the variance, V (I), of this estimator. Plot both the estimates as functions
The Tempcontrol company has a container that reduces the temperature of a liquid from 200 f to 110 f in 25 minutes by maintaining a constant temperature of 60 F.
Meyerh of method to calculate the ultimate bearing capacity Use the Meyerhof method to calculate the ultimate bearing capacity of the raft foundation and the allowable bearing capacity (FS=3).
What is the maximum possible area of a rectangle inscribed in the ellipse x2 + 4y2 = 4 with the sides of the rectangle parallel to the coordinate axes?
a train track runs along a river in a valley. the track rises a vertical height of 600 m over a horizontal distance of
a car is travelling on a straight road with velocity 55 ft/sec at time t=0. for 0
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