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A worker would like to know how wage responds to grades. The assumptionis that wage is linear in the grade (w = q1 + q2s).(1) The worker has two observations: one person with wage w1 and grades1, another with different w2 and different s2. Find q1 and q2.(2) A third observation is added: w3 together with s3. Assume w3 is different from w1,w2 and s3 from s1,s2. The worker fits a line to the three observations by minimizing the sum of the squared vertical distances between the line and the data points. Write the minimization problem and solve for q1 and q2. The vertical distance between a line y = ax + b and a point (x0, y0) is |y0 - ax0 - b|. (3) The worker assumes that q2 ≥ 0. Solve the previous minimization problem again, with this constraint added.
Sam purchased 1000m2 of material and needed to cut it into rectangles of area 200cm2 for a patchwork quilt. This can be done with no waste. How many rectangles can Sam make.
What must be the odds against outcome four if there is to be no possible arbitrage when one is allowed to bet both for & against any of the outcomes?
Using the definition of a measurable function, show that any constant function is measurable. Definition of a measurable function: the function f is measurable on the interval [a,b] if for all c in R, the set {x in [a,b] : f(x) >c} is measurable.
Andrew buys a house for $65,000, and the value of the house increases at a rate of 2% per year. How much will the house be worth in 8 years? Round to the nearest dollar.
Suppose that you possess some of a radioactive substance that has a half-life of 21 days. What fraction of the substance will remain after 105 days?
A plane can fly 340 miles in the same time as it takes a car to go 120 miles. If the car travels 110 mph slower than the plane, find the speed of the plane.
Your coin collection contains 53 1952 silver dollars. If your grandparents purchased them for their face value when they were new, how much will your collection be worth when you retire in 2063, assuming they appreciate at a 4.4 percent annual rat..
complete solution. to be done on mathlab. ltbrgt ltbrgtmathlab code and output to be given ltbrgtand done up on .doc
the american restaurant association collected information on the number of meals eaten outside the home per week by
Box A contains 142 marbles,box B contains 152 marbles,and box C contains 136 marble. Marbles are to be transferred only from box B to box C. What is the least number of marbles that must be transferred so that box C will contain more marbles than ..
Gary wants his savings to last exactly 25 years. How much money can he withdraw each month?
A high school graduating class has 487 students. there are 171 more girls than boys.. How many boys are in the class?
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