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Question: Let X be the amount won or lost in betting $5 on red in roulette. Then px(5)=18/38 and px(-5)=20/38. If a gambler bets on red one hundred times times, use the central limit theorem to estimate the probability that those wages result in less than $50 in losses.
Using your technology, compute A5 and use it to ?nd u5 and y5.4. Explain why A is diagonalizable. Find (by hand) a matrix P and a diagonal matrix D for which A = PDP-1. Use your technology to calculate D10, and use it to ?nd A10, u10, and y10. Con?rm..
Use the method of variation of parameters to find a general solution to y'' + 2y' - 3y = 1. (Yes, I know you can find a solution using a different method but I want you to use variation of parameters.)
Estimate all the stationary points
a room measures 9 meters by 13 meters and the ceiling is 3 meters high. A liter of paint covers 16 square meters. How many liters of paint will it take to paint all but the floor of the room?
A student graduated from a 4-year college with an outstanding loan of $9650 where the average debt is $8455 with a standard deviation of $1865.
Farming A farmer has 1400 feet of fence to enclose a rectanglar area that boreders a river. No fence is needed along the river. Is it possoble fir the farmer to enclose five acres? (1 acre = 43,560 sq feet) If possible, find the dimenstions of the..
A rectangular room has an area of 108 square feet and a perimeter of 43 feet. What are the dimensions of the room? Find the exact solution.
A 12 inch piece of wire is to be cut into two pieces. One piece is to be used to form a square and the other to form a circle. How should the wire be cut if the sum of the areas is to be maximized?
It is 3 feet high, and the diameter of its circular base is 2 feet. Which expression could be used to find the volume of the drum?
Define the function f(s,t) to be the square of the distance between r1(t) and rs(s) - Think about what happens to f(s,t) as s,t->+-infinity. How many critical points ought f have.
Two tracking stations are on the equator 173 miles apart. A weather balloon is located on a bearing of N43degrees E from the western station and on a bearing N 18degrees E from the eastern station. How far is the balloon from the western station..
Peak elevation. The tallest mountain in the world, as measured from base to peak, is Mauna Kea in Hawaii. From a base 19,684 ft below sea level, it rises 33,480 ft. What is the elevation of its peak?
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