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1.Let event Y be a rainstorm on a given day and event X be lightning on a given day. Let probability of these events be: P(X)=0.3 P(Y)=0.1 P(Y|X)=0.5 What is the probability that both rain and lightning occur on a given day?
2.A concentrated load of 200 kips is applied to the ground surface. What is the vertical stress increment due to the load at a point 15 ft below the ground surface at a horizontal distance of 10 ft from the line of the concentrated load?
3.A 12 ft x 12 ft square area carrying a uniform load of 5000 lb/ft^2 s applied to the ground surface.Find the vertical stress increment due to the load at a depth of 25 ft below the center of the loaded area.
A 230,000-lb space shuttle orbiter touches down at about 220 miles per hour (mph). At 200 mph, its drag parachute is deploys. The wheel brakes are applied at 100 mph until wheel sotp and the drag parachute is jettisoned from the orbiter at 35 mph.
A fine-bubble aeration basin has a flow of 21.5 mgd, an influent BOD of 180 mg/l, 31 mg/l of mmonia, and effluent of 10 mg/l. During the winter, the wastewater temperature of 14.8 degrees C does not nitrify.
A rectangular channel carries a discharge of 2.00 m3/sec per meter of channel width over a weir crest that is 1.4 m in height. The energy grade line upstream of the weir measure 2.7 m above the channel bottom
Suppose that the distance from the lake outlet to the withdrawal cannot be more than 20 mi. What should be the new volume of the lake?
A horizontal pre-stressing force of 750kn is applied to a rectangular concrete beam to be used as a structural member of a traffic bridge. The beam has a depth of 500mm and a width of 250mm. The force is applied at a distance of 80mm below the sec..
A treatment plant has a horizontal flow sedimentation tank with a depth of 4m, width of 6m, length of 36m, and process flow rate of 450m3/h. What removal percentage should be expected for particles that have settling velocities of 1.0 m/h and 2.5 ..
design a horizontal curve for a two-lane road. The road has 12-ft. lanes. Due to expansive excavation, it is determined that a maximum of 34 ft. can be cleared from the road's centerline toward the inside lane to provide for stopping sight distanc..
calculate the magnitude and direction of the horizontal force exerted on the contraction (not on the water). Assume that there is no loss of energy in the contraction. Use the gamma of water is equal to 1000 kg/m^3
If the elastic limit of steel is 5.0 10^8 Pa, determine the minimum diameter a steel wire can have if it is to support a 69-kg circus performer without its elastic limit being exceeded.
A frictionless, incompressible steady flow field is given by V=2xyi-y^2j in arbitrary units. Let the density be ρ_0=constant and neglect gravity. Find an expression for the pressure gradient in the xdirection.
A proposal has been submitted to replace a group of assembly workers, each working individually, with an assembly line. The following table gives the individual work elements. The demand rate for this job is 1600 units/week (assume 40h/week)
For a .15 micrometer diameter spherical particle (density of particle = 2500 kg/cubic meter) determine the Cunningham correction factor at standard conditions.
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