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A random variable X has density function f(x) = CX^2 1<= x <= 2 CX 2 < x < 3 0 otherwise
(a) find the constant C
(b) find P( x > 2)
(c) find P( 1/2 < x < 3/2)
(d) find the distribution function for the random variable X.
Determine the shear stress in a 25 × 50 cm rectangular section if the shear force is 20 KN and torsional moment is 10 KN m at service loads. Assume M20 mix and 0.75% tension reinforcement at an effective cover of 50 mm.
A 5.0-kg block is attached to a spring whose force constant is 125 N/m. The block is pulled from its equilibrium position at x = 0 m to a position at x = + 0.687 m and is released from rest.
At steady state air enters a turbine at a pressure of 0.4 MPa and a temperature of 77C. As a result the turbine generates 80 kJ of work per kg of air flowing. The air exits the turbine at a pressure of 1 bar.
A simply supported beam is to span 12 feet. It will support a uniformly distributed load of 800 pounds per linear foot over the full span and a concentrated load of 1000 pounds acting at 4 feet from the left support.
Find the volume of the solid S. The base of S is the region enclosed by the parabola y=4-3x^(2) and the x-axis. Cross sections perpendicular to the y-axis are squares.
A horizontal rectangular concrete channel terminates in a free outfall. The channel is 4m wide and carries a discharge of water 12 cms. What is the water depth 300 m upstream from the outfall
(a) Calculate the annual costs ($/yr) of meeting the proposed effluent requirement of 0.1 mg P/L using alum to precipitate AlPO4(s). Assume the chemical formula for alum is Al2(SO4)3·18H2O (MW = 666).
If D1 = 60 cm, D2, = 40 cm, D3 = 54 cm, L1 = 400 m, L2 = 450 m, and L3 = 750 m. Assume f = 0.0125 (3 riveted steel pipes). Determine the total flow if the system head loss is 60 m.
A rectangular reinforced concrete beam with dimensions b = 14in, d = 25in, and h = 28in is reinforced with three No. 10 bars. Material strengths are fy = 60,000 psi and fc prime = 5,0000 psi.
A 1 meter diameter cylindrical mass, M, is connected to a 2 meter wide rectangular gate. The gate is to open when the water level, h, drops below 2.5 meters. Determine the required value for M. Neglect friction at the gate hinge and pulley.
Find the absolute value of the magnitude of force vector B if the resultant force= 1000 lb, force vector A= 1000 lb, and the resultant forms a 45 degree angle with B, and vector B runs parallel to the y axis.
Processing begins when the lane reaches capacity, what is the uniform deterministic arrival rate if the vehicle queue is cleared in 35 minutes after vehicles begin to arrive (in veh/min.)?
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