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A game consists of rolling a single fair die and pays off as follows: $3 for a 6, $2 for a 5, $1 for a 4 and no payoff otherwise. What is a fair price to pay to play this game?
By contracting an edge e = uv, we mean removing e and identifying the vertices u and v as a single new vertex. Let num_T(G) denote the number of spanning trees of the graph G.
The rate of change of the frequency (f) of an electronic osillator with respect to the inductance (L) is df/dL = 80(4 + L)^-3/2, find (f) as a function of (L) if (f) = 80 Hz for L = 0H.
Consider the basis B={(3,2),(1,-4)} for R^2, Use the Gram-Schmidt process to rewrite this basis as an orthonormalized basis.
assuming no loss of speed,what is the velocity of the particle after the ricochet? simplify your answer.
Calculate the operating cost and probability values
Important information about Probability and Statistics Find the probability distribution of the value x. mean , variance and standard derivation
A machine to mill a brass plate has a setup cost of $600 and a unit cost of $3 for each plate manufactured. A bigger machine has a setup cost of $800 but a unit cost of only $2 for each plate manufactured. Find the break point.
Automorphism of a Group, Let G be a group, T an automorphism of G, N a normal subgroup of G. Prove that (N)T is a normal subgroup of G.
Cost estimates and operating income projections $140 million. Annual operating income is expected to be approximately $25 million
Air is being pumped into a spherical balloon at a rate of 20 cubic feet per second. At what rate is the radius of the balloon increasing at the instant when the radius equals 15 feet?
A manufacturer has a monthly fixed cost of $70,000.00 and a production cost of $17 for each unit produced. The product sells for $25 per unit. Find the break-even point.
Suppose that f is continuous on [a,b], f(z) 0. Set z = sup{x: f (t)
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