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From a pocket containing 10 coins (20 cents each) and 10 coins (3 cents each), 10 coins are taken randomly. What is the probability that the amount of money left in the pocket is not less than the one taken out
The multiple-choice question on a combinatorics quiz contains 20 questions with ten possible answers each (where only 1 answer is true). Compute the probability of randomly guessing the correct answers and getting at least 10 correct answers to 20 questions (Event A). Find the mathematical expectation and variance of the number of correct answers.
13.Assume the total cost of a producer of a commodity in the short - run is given by the equation:
TC = 30,000 + 15Q2 + 5Q Where: TC = total cost, Q = level of out put
Using the given total cost find equations for:
(A)- Variable costs (B) - Fixed costs (C) - Average variable costs
(D) - Average fixed costs (E) - Average costs (F) - Marginal costs
1. Suppose, for a perfectly competitive firm, marginal cost function is given by:
MC = Q2– 2Q + 20
Find the quantity produced (Q) at the equilibrium level of output, if price per unit of good produced is Birr 44
Let S = {w1,w2,...,wk} be a basis for the vector space V. Prove that every vector in V can
be expressed as a linear combination of vectors w1,w2,...,wk
in exactly one .
Two boxes, 1 and 2 are given. Suppose box 1 contains 6 black and 7 white balls. Box 2 contains 9 black and 8 white balls. Three balls are selected at random from box 1 and put into box 2. Then two balls are selected at random from box 2.
1) what is the probability that these two balls have the same color
2) what is the probability that these two balls have the different colors
An elevator starts with 4 passengers and stops at 4 floors. Find the probability of the following events:
1) all passengers leave at the same floor (Event A)
2) all passengers leave at the two floors (Event B)
3) all passengers leave at the three floors (Event C)
4) all passengers leave at different floors (Event D)
A student’s letter grade is calculated according to the following schedule:
Using this information, write, compile, and run a C++ program that accepts a student’s numerical grade, converts the numerical grade to an equivalent letter grade, and displays the letter grade.
Decrease in population rate, increase in the cost of fertiliser, which
used to grow vegetables, explain how the market for vegetables will be
affected by theses changes
Let W be the set of all 3×3 real diagonal matrices. Prove that W is a subspace of M33.
