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A contractor is considering a sale that promises a profit of $26,000 with a probability of 0.7 or a 18) loss (due to bad weather, strikes, and such) of $4000 with a probability of 0.3. What is the expected profit?
Student arrive at the Administrative Services Office at an average of one every 15 minutes, and their requests take on average 10 minutes to be processed.
Stephanie bought eighteen pens, some black and the rest blue, for $8.22. The blue pens cost $0.06 more than the black pens. The number of blue pens that she bought was as close as possible to the number of black pens that she bought. What was the ..
Explain how you decide whether it is easier to solve a system by substitution or the elimination method. Response should be detailed and include an example
State whether it is inconsistent or has infinitely many solutions. If the system has infinitely many solutions, write the solution set with y arbitrary.
Find a bijective conformal mapping that takes a bounded region to an unbounded region. Prove that a conformal map cannot take a simply connected region onto a region that is not simply connected.
A swimming pool is circular with a 10-ft diameter. The depth is constant along east-west lines and increases linearly from 5 ft at the south end to 10 ft at the north end. Find the volume of water in the pool. (Round the answer to the nearest whol..
Calculate the mean level of particulates in the city
A rancher has 3,600 linear feet of fencing and wants to enclose a rectangular field and then divide it into two equal pastures with an internal fence parallel to one of the rectangular sides. What is the maximum area of each pasture?
Sketching the graph of equation of line - Evaluate the equation of each of the lines with the given properties.
Given that the acceleration due to gravity is -32 ft/sec^2, how high is the stone 6 seconds later?
Let p be a prime, let K be a number not divisible by p, and let b be a number that has a kth root modulo p. Find a formula for the number of kth roots of b modulo p and prove that your formula is correct. (hint. your formula should only depend on ..
Prove the proposition. Let X be a metric space and Y be a submetric space of X. If Y is complete, then Y is closed in X. Conversely, if Y is closed in X and X is complete, then Y is complete.
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