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Two ordinary dice are thrown repeatedly; the outcome of each throw is the sum of the two numbers. Joe Shark, who says that 6 and 8 are his lucky numbers, bets even money that a 6 will be thrown before the first 7 is thrown. If you were a gambler, would you take the bet? What is your probability of winning? Joe then bets even money that an 8 will be thrown before the first 7 is thrown. Would you take the bet?
Having gained your confidence, Joe suggests combining the two bets into a single bet: he bets a larger sum, still at even odds, that an 8 and a 6 will be thrown before two 7s have been thrown. Would you take the bet? What is your probability of winning?
a small bar magnet experiences a 2.1 x 10^-2N*m torque when the axs of the magnet is at 45 degree to a 6.00 *10^-2 T magnetic field. What is the magnitude of its magnetic dipole moment
When stationary the speakers both play a tone whose frequency is 100 Hz. They are situated at opposite ends of a diameter. The speed of sound is 343 m/s and the merry go round revolves once every 20s. What is the beat frequency that is detected by..
A turntable 1.90 in diameter rotates at 76.0 . Two speakers, each giving off sound of wavelength 31.1 , are attached to the rim of the table at opposite ends of a diameter. What is the greatest beat frequency the listener will receive from this sys..
Air is trapped above liquid ethyl alcohol in a rigid container. If the air pressure above the liquid is 1.11 atm, determine the pressure in the bulb inside a bubble 4.0 m below the surface of the ethanol.
A uniform electric field of magnitude 249 V/m is directed in the negative y direction. A +13.4 ?C charge moves from the origin to the point (x, y) = (15.0 cm, 50.8 cm)
Illustrate what is the coefficient of static friction between the chair and the floor? What is the coefficient of kinetic friction between the chair and the floor?
Find the magnitude and direction of the force on a proton at x = -3.2 m, y = 0.9 m.
A muon travels 60 km through the atmosphere at a speed of 0.9995c. According to the muon, how thick is the atmosphere
in electronic equipment wires that carry equal but opposite currents are often twisted together to reduce their
A rotating object starts from rest at t = 0 s and has aconstant angular acceleration. At a time of t = 7.0 s the object has an angular velocity ofω = 13 rad/s. What isits angular velocity at a time of t = 14 s?
Alpha Centauri is 4.3 light years away. If we could make a rocket that went 4/5 the speed of light: What would the travel time be for the astronauts
An airplane has a mass of 28,000 kg and takes off under the influence of a constant net force of 44,000 N
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