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Find the mass of a thin plate occupying a small region cut from the ellipse x2 + 4y2 = 12 by the parabola x = 4y2 of density 5x.
Suppose that a store offers gift certificates in denominations of25 dollars and 40 dollars. Determine the possible total amounts you can form using these gift certificates.
Multiple regression equation
what is the measure of the angle between the end of the shadow and the vertical side of the building? (Assume the person's eyes are level with the top of the building.)
A box has a square bottom, and interior volume of 2.00 m3, and an interior height of 0.500 m. What is the greatest length stick (diameter is negligible) that can fit inside the box?
If the data for both tests are normally distributed, on which test did the student score better? Show the use of a formula.
An air ambulance is travelling from Barrie to Toronto. Toronto is located 90 km [S5°E] of Barrie. If the wind is blowing from the South with a velocity of 62 km/h, and the plane's air speed is 375 km/h, what direction must the pilot fly to make it..
If you have 80 feet of fencing and want to enclose a rectangular area up against a long, straight wall, what is the largest area you can enclose?
A medical prosthetics company charges a $350 setup fee and $5.50 per piece to make a plastic brace for patients with sprained wrists. Write an equation to model this cost of production, and calculate the cost of producing 3000 braces?
Using a 0.025 significance level, test the claim that the proportions of agree/disagree responses are same for the subjects interviewed by men & the subjects interviewed by women.
Probability questions
what is the present value of R1 000 to be received in 10 year's time assuming a discount rate of 12% per annum?
Amy paid $81.11 for a pair of shoes during a 40% off sale. What was the original price?
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