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Two types of engine bearings were fabricated out of different compounds and tested in an experimental engine to measure how long it takes until they fail. The 35 Type I bearings lasted an average of 1.574 million engine cycles with an estimated standard deviation of 0.34 million cycles. In the other group, 40 Type II bearings lasted an average of 1.796 million engine cycles with an estimated standard deviation 0.57 million cycles. Assuming that these times are independent and normally distributed, test whether there is a significant difference between the average breakdown times. Use a significance level of α = 0.05.
Suppose V is a complex inner product space and T: V --> V a linear operator. Use the results from parts (a) and (b) to show V = im(T) + ker (T*) = im(T*) + ker(T).
If two cards are drawn without replacement from a deck, find the probability that the second card is a spade, given that the first card was a spade.
A soup bowl can be modeled as a solid of revolution formed by revolving the graph of y=(x/2)^0.5+1,0≤x≤4,about the x-axis. Use this model, where x and y are measured in inches, to find the volume of the soup bowl.
Find the equation of the tangent line to the graph of the function f(x) = x + 3^-2x - 2sin(x) at the point with x-coordinate 0.
The number of dimes is 1 less than twice the number of quarters. How many of each denomination are there?
The trough in the figure is to be made to the dimensions shown. Only the angle theta can be varied. What value of theta will maximize the trough's volume?
Please graph the solution with explanation on how to read Will use as a baseline for other problems.
Newton's Law of Cooling states that the rate at which an object cools is proportional to the difference in temperature between the object and the surrounding medium
If an object is propelled upward from a height of 96 feet at an initial velocity of 80 feet per second, then its height after t seconds is given by the equation
The length of the diagonal of a rectangular billboard.
What is the length of the shortest ladder that will reach from the ground over the fence to the wall of the building?
a merchant has foffee worth $20 a pound that she wishes to mix with 90lbs of coffee worth $60 a pound to get a mixture worth $50 a pound. how many pounds of the $20 coffee should be used?
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