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mathematics
march 2021
14

Mathematics Questions and Answers March 14, 2021

Expert-verified solutions to help you succeed

A random variable X has a density given by where is the unit step function and is a delta function. a). Find the value of a, E(X) and . b). Find and make a labeled sketch of . c). W = the event . Find and , carefully indicating the domain of all functions where needed.

Compute AB where A and B are partitioned matrices. 4 2 0 0 0 0 6 0 1 0 0 0 A = B = 7 3 2 1 4 2 1 7 5 O 2 6 30 8 8 27 O [4 -2 0 0 5 6 0 0 0 O 27 18 0 O -9 27 O 4 -2 5 6 27 18 -9 27 O 4 -2 0 0 5 6 0 0 3 -10 27 18 17 0 9 27

Consider three identical airplanes starting at the same airport. Each plane has a fuel tank that holds just enough fuel to allow the plane to travel half the distance around the world. These airplanes possess the special ability to transfer fuel between their tanks in mid-flight. What are the maximum around the world trips that airplane1 can make?

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