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Problem:
Playing Pick 4
The Pick 4 games in many state lotteries announce a four-digit winning number each day. Each of the 10,000 possible numbers 0000 to 9999 has the same chance of winning. You win if your choice matches the winning digits. Suppose your chosen number is 5974.
Required:
(i) What is the probability that the winning number matches your number exactly?
(ii) What is the probability that the winning number has the same digits as your number in any order?
Four identical charges (+2.0 μC each)are brought from infinity and fixed to a straight line. The chargesare located 0.40 m apart. Determine the electric potential energyof this group.
A 4.00 kg hollow sphere of radius 5.00 cm starts from rest and rolls without slipping down a 30.0 degree incline. If the length of the incline is 50.0 cm, then the velocity of the center of mass of the hollow sphere at the bottom of the incline is:
In an insulated vessel, 260 g of ice at0°C is added to 630 g of water at19.0°C. What is the final temperature of the system? How much ice remains when the system reaches equilibrium?
The electric field just above the surface of the charged hollow drum of a photocopying machine has a magnitude E of3.0E+5 N/C. What is the surface charge density on thedrum if it is a conductor?
The George Washington bridge, that spans the Hudson River between New York and Jersey, is 4670 feet long and is made out of steel, How much does it expand in length between winter and summer.
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The coil is in a uniform magnetic field that is perpendicular to the plane of the coil. Illustrate what rate of change of the magnetic field strength will induce a current of 4.98 A in the coil?
Calculate the boy's speed when he hits the water. How much time is required for the boy to reach the water? How far horizontally will the boy travel before he hits the water?
Discover how much energy per unit time a roller bladder loses by radiation from her body. Her skin temperature is 35°C and the air temperature is 30°C. Her surface area is 1.2 m 2 , of which 75% is exposed to the air. Assume skin has e = 0.97.
Two astronauts, each having a mass M are connected by a length of rope of length d have a negligible mass. They are isolated in space, What is the final angular speed of the astronauts
A parachutist whose total mass is 100kg is falling at 50 m/swhen her parachute opens. How many times her weight is this force
The fundamental and first overtone for 14N16O are centred at 1876.06 cm 1 and 3724.20 cm 1 respectively. Evaluate the equilibrium vibration frequency
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