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The traffic on the one-way main street shown below may be satisfactorily described by a Poisson process with an average rate of arrival of 8 cars per minute. A driver (indicated by the box) on the side street is waiting to cross the main street. He will cross as soon as he finds a gap of 15 sec.
a. Determine the probability, P, that a gap will be longer than 15 sec.
b. What is the probability that the driver will cross at the fourth gap? (Note that this implies that the first three gaps are too short for the driver to cross).
c. Determine the mean number of gaps he has to wait until crossing the main street.
d. What is the probability that he will cross within the first four gaps?
A cylinder contains 3 kg of water and water vapor mixture in equilibrium at a pressure of 500 kN/m2. If the volume of the cylinder is 1.0 m3, calculate the following: a) Temperature of the mixture b) The volume and mass of the liquid
Atrazine is adsorbed to a soil that is only saturated by 5%(i.e. only a twentieth of the pore volume is filled with water), how much atrazine is bound to the soil, dissolved in the water, and present as vapor in the gas phase
a regular hexagonal pyramid has an upper base edge of 16 ft. and a lower base edge of 28 ft. if the volume of the frustum is 18041 ft^3., find the lateral area of the frustum.
If the rocket's decent parachute does not deploy and the rocket lands 340 ft from A, determine the angle (alpha) that vo forms with the vertical, the maximum height h reached by the rocket, and the duration of the flight.
For a cement paste with an initial water-cement ratio of 0.5, by mass, calculate the mass and volumetric composition of 1 cm^3 of HCP under both wet and sealed curing conditions.
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How high (m) a column of ethyl alcohol would be required to give the same pressure as 700 mm Hg
A simple curve has a central angle of 42degreess. A point Y is located 24m from the vertex and has a perpendicular distance of 3.00m from the back tangent.
Thomas Friedman's bestseller, The World is Flat, says that the world has been, in his words, "flattened" or leveled which increases accessibility and competition worldwide. What does this mean for engineering and for managers who deal with enginee..
What should TAC , TAB and the acute angle ? between TAB and the vertical to minimize the tension TAB ? Take o and W = 1,000 N. Hint: Consider various possible force triangles and decide on inspection how to minimize TAB.
How many floors can be added to the building while maintaining the code required overturning factor of safety of 2.0 Assume the roof supports a wind load of 4 kips and all floors below support a wind load of 8 kips.
An asphalt mixture is placed and compacted. Two tests are taken from the compacted mixture and checked for density. Core 1 had a density of 2403 kg/m3 and an air void content of 6.5%. Core 2 had a density of 2419 kg/m3.
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