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Let k be a positive integer. Consider MIN-SC(k) as the following restricted version of MIN-SC. The instances of MIN-SC(k) are usual instances (X, F) of MIN-SC with the additional restriction that each element x ∈ X is contained in at most k sets from F. Apply the method of the relaxation to LP in order to design a k-approximation algorithm for MIN-SC(k).
A manufacturer has been selling flashlights at $6 apiece, and at this price, consumers have been buying 3,000/month. The manufacturer wishes to increase the price & estimates that for every $1 he raises the price, 1,000 fewer flashlights will be s..
Find a 95% confidence interval for the true mean annual income of the nursing school alumni. Write a statement about the confidence level and the interval you find.
Find the equation of the tangent line to the curve y = 2 sec (x) - 4 cos (x) at the point (π/3, 2). Write your answer in the form y = mx + b where m is the slope and b is the y-intercept.
(b) What should be the level of sales be in order for the division to realize a 13% profit over the cost of making the diaries? (Round your answer to the nearest whole number.)
In a nationwide survey, suppose 100 boys and 50 girls are sampled. What is the probability that the male sample will have at most three more days of absences than the female sample?
A plane flies 45 minutes at 150mph on a bearing of 35 degrees. It then turns and flies 90 minutes at the same speed on the bearing of 125 degrees. How far is the plane from the staring point?
Find the size of a corner square that will produce an opened-top box with the largest possible volume.
The data points given are just like x and y values, where the x value is the time t in seconds and the y value is the altitude h in feet. Plug these into the model and you will get equations with a, b and c.
where the parameter c, called the coefficient of restitution, represents the "bounciness"? of the ball in the collision. Compute du/dw and explain its meaning. (simplify du/dw as much as possible).
Using x as the variable, write the equation or inequality that would correctly solve this problem.A savings account increased by $75 is now more than $500. What is the least amount of money that was originally put in the savings account?
Explain the importance of appropriately integrating Texas Instruments' CBL 2 (Calculator Based Laboratory), CBR 2 (Calculator Based Ranger), Fathom, a powerful data analysis software tool from Key Curriculum Press, and Excel into the middle school..
A ladder leans against wall with the base of the ladder 16 ft from the wall and with the top of the ladder touching the top of the wall. The ladder is pushed towards the wall so that the top 5 ft of the ladder stick up over the wall. How far was the ..
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