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Vehicles arrive at a toll booth with a mean arrival rate of 2 veh/ min (the time between arrivals is exponentially distributed). The toll booth operator processes vehicles (collects tolls) at a uniform deterministic rate of one every 20 seconds. What is the average length of queue, the average time spent in the system, and the average waiting time in the queue?
Samples of 20 rivets for a steel structure are checked for quality every hour. The probability of finding a bad rivet that has to be scrapped is 1%.assume that x is the number of parts in the sample of 20 that have to be scrapped.
Air can be assumed as a di-atomic ideal gas. Find the final temperature and the amount of work ( in kW) required for air compression at a rate of 100 mol/s , from an initial condition of 1 bar an 25 C to 10 bar; for the following ways:
Provide a comparative analysis of the types of safeguards would you suggest for the company's information system.
The company would like to distribute the songs between the two CDs such that the used space on each CD is about the same. Formulate the problem as an IP, and find the optimal solution.
A water tank has a height of 120m, and its area of cross-section is 2000m. Water is released from the tank and the water level drops by 1 meter every minute. Find the rate of change in volume.
At a specified point on a highway, vehicles are known to arrive according to a Poisson process. Vehicles are counted in 20-second intervals, and vehicle counts are taken in 120 of these time intervals.
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.)?
Assume you are observing traffic in a single lane of a highway at a specific location. you measure the average headway and average spacing of passing vehicles as 3 seconds and 150 ft, respectively. calculate the flow, average speed, and density of..
Find the time for one complete cycle of this motion if the spring constant is 21 N/m. (Assume that once the pendulum ball hits the spring there is no effect due to the vertical movement of the ball.)
The difference between the total and static pressure before a shock is 75 psi. What is the maximum static pressure that can exist at this point ahead of the shock? The gas is oxygen.
The tape is stretched over three equal spans. Calculate the tape corrections under the following conditions at field, temperature = 85ºF, pull = 18kg, E= 2.109 x 10 6 kg/cm 2
For satisfactory operation, the static pressure at the pump inlet must not be lower than -6 m of water gage. Determine the smallest standard commercial pipe that will give the required performance.
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