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The number of flaws on a sheet of aluminum manufactured by a certain process follows a Poisson distribution. In a sample of 100m2 of aluminum, 200 flaws are counted.
a. Estimate the probability that a given square meter of aluminum has no flaws.
b. Estimate the probability that a two square meter piece of aluminum has 3 or more flaws.
The position of a particle P moving in the horizental plane is described by r(t)= (5t^2 i +2te^0.1t j) m. Find the magnitude of the particle's position, velocity, and acceleration at time t=2 sec.
A geological fault truncates the aquifer at a distance "L" upstream from the river. The hydraulic conductivity of the area between the fault and the river is 50 ft / day and hydraulic conductivity between the lake and the fault is 100 ft / day.
A 100 lb force vector F is aligned from A to B. Point A is located at the coordinates (2, 2, 2) and point B at (4,5,6). Calculate the moment of F about the y axis.
The Record-a-Song company has contracted with a rising star to record eight songs. The sizes in MB of the different songs are 8, 3, 5, 5, 9, 6, 7, and 12, respectively. Record-a-Song uses two CDs for recording. Each CD has a capacity of 30 MB.
A company that manufactures regenerative thermal oxidizers made an investment 10 years ago that is now worth $1,300,000. How much was the initial investment at an interest rate of 15% per year (a) simple interest and (b) compound interest?
The first pipe of 400mm diameter is 500 m long, the second pipe 600 m long, size 300mm, and the last pipe is 500m long of diameter 200mm. If the elevation difference between two reservoirs is 30m
The window is to be bolted onto the vertical wall of the pool and faces outward, covering a 2ft diameter opening in the wall. The venter of the opening is 4ft below the surface.
An intersection approach volume is 1,500 veh/h and includes 12% left turns with a through-vehicle equivalent of 2.3 tvu's/left turn. What is the total equivalent through volume on the approach
Determine the water level rise in an unconfined aquifer produced by a seasonal precipitation of four inches. The aquifers porosity is 20 percent and its specific retention is 9 percent.
A municipal WWTP discharges 22.5 MGD of secondary effluent containing 45 mg/L of ultimate BOD at 26.7 C with 1.3 mg/L of dissovled oxygen. The stream flow is 237 ft^3/s at an average velocity of 2.1 ft/s and an average depth of 7ft.
A W14x68 section of A992, Grade 50 steel, is used as a steel column with a total unbraced height of 12 ft. The column ends are both fixed. Determine the maximum axial LRFD safe load for this column
The total dissolved inorganic carbon (TIC) of a sample of groundwater is 8.33 mM. The temperature of the aquifer is 15C, the pH is 7.5, and the ionic strength is 0.05 M. What is the H2CO3, HCO3-, CO3 2-, and the partial pressure of CO2? [Use activ..
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