Normal curve approximation
A pair of dice is rolled 270 times. Using the normal curve approximation, what is the probability that a total of 7 occur:
(show all calculations)
A. at least 52 times?
B. Between 41 and 63 times inclusive?
C. Exactly 36 times?
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If the motorcycle travels over the crest at half speed found in Part A, find the ratio between the apparent weight of the motorcycle and its rider and their true weight.
An evacuated 150 L tank is connected to a line flowing air at room temperature, 25 degrees C, and 8 MPa pressure. The valve is opened, allowing air to flow into the tank until the pressure inside is 6 MPa. At this point the valve is closed.
A 100 W lightbulb generates 94 W of heat, which is dissipated through a glass bulb that has a radius of 2.8 cm and is 0.9 mm thick. What is the difference in temperature between the inner and outer surfaces of the glass?
A distillation column, as shown in the figure to the right, is a device used to separate components with different volatilities. What is the mole fraction of ethanol in the bottoms product?
Two Formula One racing cars are negotiating a circular turn, and they have the same centripetal accelaration. However, the path of car A has a radius of 48m , while that of car B is 36 m. a. Determine the ratio of the angular speed of car A to the
1. Steam is contained in a closed rigid container with a volume of 1 m3. Initially, the pressure and temperature of the steam are 7 bar and 500°C, respectively. The temperature drops as a result of heat transfer to the surroundings.
In gantry crane ,there are are two motors one for horizontal motion , i.e. 400kg weight is to be moved 6m with 100m/min.Another motor is to lift 1500 kg weight vertically of 0.6m with speed 20m/min. power is transmitted through rack and pinion.
Runner A is initially 5.7 km west of a flagpole and is running with a constant velocity of 8.3 km/h due east. Runner B is initially 4.9 km east of the flagpole and is running with a constant velocity of 7.5 km/h due west. How far are the runners f
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