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1.If the diameters of ball bearings are normally distributed with mean 0.6140 inches and standard deviation 0.0025 inches, determine the percentage of ball bearings with diameters,
(a) between 0.610 and 0.618 inches inclusive (b) greater than 0.617 inches (c) Less than 0.608 inches (d) equal to 0.615 inches
2.If the height of 300 students are normally distributed with mean 68.0 inches and standard deviation 3.0 inches, how many students have heights,
(a) Greater than 72 inches
(b) Less than or equal to 64 inches
(c) Between 65 and 71 inches inclusive
(d) equal to 68 inches
* Assume the measurements to be recorded to the nearest inch
An experiment was conducted to determine the hydraulic conductivity of an artesian aquifer. The piezometric heads at two points 150m apart were found to be 55 m and 48.5 m above a datum.
A small nitrogen container is at Pressure P1 = 5 bar and T1 = 300 K. It's been filled from a larger nitrogen container, which is P= 10 bar and T = 300 K. The filling process ends when pressure in the small container
Nitrate concentrations are often recorded in units of NO3--N/L to be compared with other nitrogen constituents. Near three rural wells nitrate concentrations were reported as 0.25 mg
The scholarship will provide a student with an annual stipend of $2500 for each of 4 years (freshman through senior), plus an additional $5000 during the senior year to cover entertainment expenses.
At a confining pressure of 2000 psi, the first sample failed at 9000 psi. Then at a confining pressure of 5000 psi, the other sample failed at 21,000 psi. Plot the two test results on a shear stress-normal stress diagram and draw in Mohr envelope.
Determine the maximum concentrated load that can be applied at the center of a 6 in. X 6 in. simply-supported plain concrete beam before it cracks in tension.
Find the area of steel reinforcement required for a concrete T-beam for the following data; f'c = 3 ksi, fy=50 ksi,d=28 in, t= 6 in., bw= 16 in., bf= 60 in., and the section sustains a factored bending moment of Mu=360 kip ft
The air above the liquid is under a pressure of 5 psig, and the specific gravity of the liquid in the tank is 0.80. If the rectangular gate is 6 ft wide and if y1 = 1 ft and y2 = 10 ft, what force P is required to hold the gate in place
The operating cost will be $10,000 per quarter with a salvage value of $25,000 after its 2-year life. Process B will have a first cost of $250,000, an operating cost of $15,000 per quarter and a $40,000 salvage value after its 4-year life.
A 2-inch diameter glass pipe is connected to a pipe network in which the pressure is 70 psig. If the length is 300 ft and the outlet is 10 ft above the pipe, determine the flow rate.
The frame is designed to carry the hanging mass at G equal to 167 kg. The frame is supported by a pin connection at C and the rope AB, and constructed with pin connections at points E, F, and D. Importantly, members BEFG and EDC are continuous mem..
The bent road has an E=200 GPa, G=75 GPa, and a radius of 30 mm. Use Castigliano's theorem and determine the vertical deflection at C. Include the effects of bending, shear, and torsional strain energy.
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