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In the game of Blackball, at each turn Muggins draws a ball at random from a bag containing five white balls, three red balls and two black balls; after being recorded, the ball is replaced in the bag. A white ball earns him $1, whilst a red ball gets him $2; in either case, he also has the option of leaving with his current winnings or of taking a further turn on the same basis. If he draws a black ball the game ends and he loses all he may have gained previously. Find an expression for Muggins' expected return if he adopts the strategy of drawing up to n balls, provided he has not been eliminated by then.
Show that, as the entry fee to play is $3, Muggins should be dissuaded from playing Blackball, but, if that cannot be done, what value of n would you advise him to adopt?
two carpenters are hammering at the same time each at a different hammering frequency. the hammering frequency is the
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as two trains move along a track their conductors suddenly notice that they are headed toward each other. the figure
A 3.86-kHz tone is being produced by a speaker with a diameterof 0.239 m. The air temperature changes from 0 to 28.4oC. Assuming air to be an ideal gas, find the change in the diffraction angle .
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A 150.0 g copper cylinder at 425.0 C is placed on a large block of ice at 0.00 C. Suppose that no energy is transferred to the surroundings. What is the mass of the ice that will melt?
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Superman attemps to drink water through a very long straw. With his great strength, Find the maximum height through which he can lift the water
A car traveling at a constant speed of 22.5 m/s passes a trooper hidden behind a billboard. One second after the speeding car passes the billboard, the trooper sets off in chase with a constant acceleration of 3.90 m/s2.
A solid spherical ball of mass 1.27 kg and radius 0.12 m rolls along a smooth, level surface with a speed of 2 m/s. How far up the plane does the ball go
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