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1. A manager of a certain office is offered a bonus each month if the total expenses are under 1000. The bonus is half the difference between 1000 and the expenses. So, for example, if expenses were 800, the bonus would be 100. Find the expected value of the bonus in each of the following cases.
(a) Expenses are exponentially distributed with a mean of 2000.
(b) Expenses are uniformly distributed on the interval [0, 4000].
1. integrate the following2. for each of the following pairs of functions graph each one together in desmos show on
Please solve for x, y & z using the process of elimination method (non matrix method)
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Write a java program to accept marks in 4 subjects, find the average and display the grades. 85 -S
Water is flowing at the rate w of into a tank in the form of a cone of altitude h and base radius and with its vertex in the downward direction. How fast is the water level rising when the water is a certain depth x ?
Trace the algorithm below and track the number of times that the addition operation (+) is executed over the course of the program's run time. Answer the question by giving a formula in terms of n:
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0 2 4 1 3 5 (imagine the vertical sets of numbers are surrounded by a large parenthesis, as it is in a binomial expression)
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A two digit number is such that the product of its digits is 35. When 18 is added to the number, the digits interchange their places. Find the number.
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