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Each of two buses carries passengers from a depot to various destinations and return for another trip with a round trip time very nearly equal to R. The buses are run by independent drivers, however, who make no attempt to coordinate their schedules. Actually, one bus runs slightly faster than the other so that over many trips the fraction of trips that the second bus leaves within a time t after the first bus is t/R , 0 < t < R. In effect, the times between departures of the buses are random, with a uniform distribution over the interval 0 < t < R.
If passengers arrive at the depot at a constant rate, what is the average time that a passenger must wait for the next bus? Compare this with the wait if the headways are controlled so as to be R/2.
At what coupon interest rate will a $20,000 bond yield a nominal 12% interest compounded quarterly if the purchaser pays $18,000 and the bond becomes due in 20 years
The ball is kicked so that it has a velocity of 0.5 m/s and the cord is pulled in at a rate of 0.2 m/s. Neglect friction so that the only important force on the ball is the tension in the cord. Find the tension in the cord when the radius is 0.25 ..
how many kilograms each of pearlite and preutectoid phase form? schematically sketch and label the resulting microstructure
Maintenance expenses for a bridge in west Tennessee are estimated to be $200,000 for the first eight years followed by two separate million dollar expenditures in years 12 and 18. The expected life of the bridge is thirty years.
Determine the effective annual interest rate for a nominal rate of 8% per year, in which is compounded quarterly.
The 3.0-ft diameter piper is 3,400 feet long with a steady flow rate of 10,000 gal/minozone (in mg/L) should be Injected at the head of the piper so what there will be an ozone concentration of 1.0mg/L
A trapezoidal channel with base width 5m and side slopes 2 horizontal to 1 vertical, slopes at 0.0005. If n=0.010, what is the flow rate for a normal depth of 1m, 2m, 4m
Ignoring both axial and shear deformations and using the unit force method, calculate the vertical displacement of joint B.
A 1.5 m diameter culver (concrete barrel, well - rounded entrance) that is 20m long is installed on a slope of 2 percent. The design discharge is 9.5 m^3/sec and the inlet will be submerged but not the outlet.
After falling from rest from a height of 32 m, a 0.45 kg ball rebounds upward, reaching a height of 22 m. If the contact between ball and ground lasted 1.5 ms, what average force was exerted on the ball?
The coefficient of friction between the crate and the floor is µs = 0.4 and µk = 0.3. If P is slowly increased until the crate starts to move and then remains constant, determine using energy methods the speed of the crate after moving 2 m.
A stopwatch was started when h was 501 mm and read 17.6 seconds when h was 244 mm; the test was repeated for a drop from 254 mm to 97 mm and the time was 22.4 seconds.
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