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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.
ate the expression. where necessary, enter your answer as a fraction using the slash (/)as the fraction bar 6/11^2.
scott delivers 14 newspapers in 10min. this is 28 of his round. a how many more papers does scott need to deliver? b
Vanilla Box Company is going to make open-topped boxes out of 19 × 11-inch rectangles of cardboard by cutting squares out of the corners and folding up the sides. What is the largest volume box it can make this way?
If they deposit this money at the end of each month into a savings account paying interest at the rate of 6.5%/year compounded monthly, how much money will be in their travel fund at the end of the fourth year? (Round your answer to the nearest ce..
compute the set of positive divisors of gcd(a, b), and compare the two sets. Once you think you see a pattern, state a conjecture and try to prove it.
A covering map is a map p: E -> B with the property that each point b, an element of B, has a neighborhood U such that p^-1(U) is a disjoint union of open sets V_alpha
A jeweler has three small solid spheres made of silver, of radius 5 mm, 2 mm, and 6 mm. He decides to melt these down and make just one sphere out of them. What will the radius of this larger sphere be?
A car rental agency rents 220 cars per day at a rate of 27 dollars per day. For each 1 dollar increase in the daily rate, 5 fewer cars are rented. At what rate should the cars be rented to produce the maximum income, and what is the maximum income..
Tom Quig travel 250 miles. FOr most of the trip he averaged 70 mph, but for one period of time he was slowed to 10 mph due to a major car accident. If the total time of travel was 7 hours, how many miles did he drive at the reduced speed?
Then explain how the values of the slope affect the overall meaning of the equation.
a company is trying to establish a desirable transportation arrangement from its three plants to its four regional
A student claims that anything that can be accomplished by a translation can be accomplished by a reflection. She claims that if A' is the image of A under a translation, then A' can be obtained by a reflection in the line(which is the perpendicul..
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