Mopeds (small motorcycles with an engine capacity below 50 cm3) are very popular in europe because of their mobility, ease of operation, and low cost. the article “procedure to verify the maximum speed of automatic transmission mopeds in periodic motor vehicle inspections” (j. of automobile engr.,2008: 1615–1623) described a rolling bench test for determining maximum vehicle speed. a normal distribution with mean value 46.8 km/h and standard deviation 1.75 km/h is postulated. consider randomly selecting a single such moped. a.what is the probability that maximum speed is at most 50 km/h? b. what is the probability that maximum speed is at least 48 km/h? c. what is the probability that maximum speed differs from the mean value by at most 1.5 standard deviations?

According to the tide table below what time of day will the highest tide occur?

Agas initially at p1 = 1 bar and occupying a volume of 0.5 liter is compressed within a piston–cylinder assembly to a final pressure p2 = 4 bar. (a) if the relationship between pressure and volume during the compression is pv = constant, determine the volume, in liters, at a pressure of 3 bar. (b) repeat for a linear pressure–volume relationship between the same end states. reference

Steam is generated in a boiler of a cogeneration plant at 10 mpa and 450°c at a steady rate of 5 kg/s. in normal operation, steam expands in a turbine to a pressure of 0.5 mpa and is then routed to the process heater, where it supplies the process heat. steam leaves the process heater as a saturated liquid and is pumped to the boiler pressure. in this mode, no steam passes through a condenser, which operates at 20 kpa. (a) determine the power produced in the turbine and the rate at which process heat is supplied in this mode. (b) determine the power produced in the turbine and the rate of process heat supplied if only 60 percent of the steam is routed to the process heater and the remainder is expanded to the condenser pressure. (3.32 mw; 9.69 mw; 4.25 mw; 5.82 mw)