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A poster is to have an area of 170 in2 with 3 inch margins at the bottom and sides and a 3 inch margin at the top. What dimensions will give the largest printed area? (Give your answers correct to one decimal place.)
Two masses of 14 kg and 7 kg are connected by a light inextensible string passing over a pulley and the system starts from rest and moves for 3 sec, when the string breaks.Find after what further interval of time the smaller mass comes to its orig..
Suppose G is an abelian group of order m. Let m, n be relatively prime. Show that for every element g in G, there exists an element x in G such that x^m=g. Abelian Groups and Relatively Prime Order
Information from the American Institute of Insurance indicates the mean amount of life insurance per household in the United States is $110,000. This distribution follows the normal distribution with a standard deviation of $40,000.
Find an equation of the tangent plane to the parametric surface x=-2rcos(theta), y=-3rsin(theta), z=r at the point (-2sqrt(2),-3sqrt(2),2) where r=2, theta=pi/4
Find the equation of the indicated curve - Find the equation of hyperbola from the given data
A geometric progression has first term log_2 27 and common ratio log_2 y, find the set of values of y for which the geometric progression has a sum to infinity.
Royal Palm hospital has 500 beds and 55 bassinets. As the HIM manager, you report monthly statical data of hospital operations to administration and department managers. Use the information in table 3-3 to calculate the percentage of occupancy for..
An equilateral triangle and a regular hexagon have equal perimeters. What is the ratio of the area of the triangle to the area of the hexagon?
In polar coordinates, write equations for the line x=1 and the circle of radius 2 centered at the origin. Write an integral in polar coordinates representing the area of the region to the right of x=1 and inside the circle
probability question based on contingency table
Calculate the z transformation.
10% of all doctors recommend a new headache medicine. if we randomly select 20 doctors (and assume independence), find the probability at least 2 recommend the medicine.
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