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Commuter trains travel between stations spaced 1.0 mi apart. A train arrives every 5 min, and trains can attain a maximum speed of 80 mph. When the train stops it must wait 1.0 min to allow for passenger movement. The uniform acceleration of the train is 5.5 ft/sec^2. Deceleration is 4.4 ft/sec^2. What is the top speed of the train?
You solution must contain all work necessary to solve the problem. In addition, you must include complete explanation of your reasoning and the explanations of the steps you took toward the solution.
Show that a function f is measurable IF AND ONLY IF there exists a sequence (f_m) of set functions such that f(x)=lim f_m(x) for almost all x.
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Calculate the value of appropriate test statistic
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