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Fischer and Spassky play a chess match in which the first player to win a game wins the match. After 10 successive draws, the match is declared drawn. Each game is won by Fischer with probability 0.4, is won by Spassky with probability 0.3, and is a draw with probability 0.3, independently of previous games.
a) What is the probability that Fischer wins the match?
b) What is the pmf of the duration of the match?
Fixed costs are estimated to be $8,400 for 2005. How many units should the company sell to break even ?
The height of one square pyramid is 36 m. A similar pyramid has a height of 18 m. The volume of the larger pyramid is 1600 m3. Determine each of the following.
The yearly production of a 6 foot orange tree is 40 pounds of oranges. A 17 foot tree produces 88 pounds. Let h represent the height of an orange tree and p the number of pounds of oranges produced. Use the information to answer the question shown..
How much money (total) do you have after the 5 years pass and how much do you earn in interest over the 5 years?
Let X be a path-connected space and suppose that every map f: S^1 --> X is homotopically trivial but not necessarily by a homotopy leaving the base point x_0 fixed. Show that pi_1(X,x_0) = 0.
Show that the functions x and x^2 are orthogonal in P5 with inner product defined by ( =sum from i=1 to n of p(xi)*q*(xi) ) where xi=(i-3)/2 for i=1,...,5.
Using the parametric equations x=3cost, y=3sint, 0≤t≤pi/2, find the surface area of the solid generated when y is rotated about the x axis.
Use a graphing calculator, a spreadsheet, or mathematical software to obtain the solution. Find the APR on a 20-year mortgage of $562,000 carrying a stated interest rate of 4.5% compounded monthly and seven points.
A farmer wants to set aside a rectangular plot of land to contain 160 square meters. If the width is 19 less than the length, find the dimensions of the plot.
Could you explain to me the difference between functions and linear equations? I need to know if all linear equations are functions and if there are any instances in which a linear equation is not a function.
If an investor purchased 50 shares of Pearson Education stock at $85 per share, 90 shares at $105 per share, 120 shares at $110 per share and another 75 shares at $130 per share. What is the mean cost per share?
Find the height at which the light has to be fixed to get its use in maximum area using its perimeter function
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