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The lifetime X of an alkaline battery is exponentially distributed with lambda = 0.05 per hour. What are the mean and standard deviation of the battery’s lifetime
Investigating a complaint from a buyer that there is short-weight selling, a manufacturer takes a random sample of twenty-five 32 g cans of coffee from a large shipment and finds that the mean weight is 31 g with a standard deviation of 0.6 g. Is there evidence of short-weighing at the 0.01 level significance?
a rock is thrown horizontally from the top of a cliff 88 m high, with a horizontal speed of 25 m/s. with what velocity does the rock hit?
375cmcube of gas has a pressure of 770mmhg. Find it's volume if the pressure is reduced to 750mmhg
Determine all the relative minimum and maximum values, and saddle points of the function g defined by g(x,y) = x3 - 3x +3xy2
Write a program in c++ to check wether a number is positive, negative or zero
Show that the function f defined by
f(x,y) = {1, (x,y) = (0,0)
{(x2 + y)/(x + y), (x,y) ≠ (0,0)
is not continuous by using two path test at (0,0).
(dy)/(dx) = - x/(2y)
Carl has completed 8 math homework assignments that are all worth 20 points, and his mean score is 17.
Carlos has two more 20-point homework assignments to complete before his progress report gets sent
out, and he wants to raise his mean score to an 18. Is it possible for Carlos to raise his mean score to an
18? If it is possible, explain what scores he would need to get, and if not, explain why not.
What are the sum rule, the product rule, and the quotient rule. 2 examples
