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The height of a door is 15 inches more than three times its width. What are the dimensions of the door if the perimeter is 246 inches?
Find the expected value E(X), the varianceVar(X) and the standard deviation σ ( X ) for each of the density functions.
Find the point on the graph of y= e^x at which the curvature is the greatest. Write the equation for the surface generated by revolving the curve x^2 - 2y^2 = 1 about the y-axis. Describe the surface
Water is being drained from a container which has the shape of an inverted right circular cone. The container has a radius of 6 inches at the top and a height of 10 inches.
For what values of k is the origin a hyperbolic equilibrium point of the system ? In this case, classify it as a sink, source or saddle. For what values of k is the origin a Non-hyperbolic equilibrium point of the system ? In this case, determine..
The maximum number of grams of fat that should be in a diet varies directly as a person's weight. A person weighing 120 lbs should have no more than 60g of fat per day. What is the maximum daily fat intake for a person weighing 180 lbs?
Probability Sampling Without Replacement Card Hands. A hand of 4 cards contains one card of each suit
Mary and Tom park their cars in an empty parking lot with n≥2 consecutive parking spaces (i.e, n spaces in a row, where only one car fits in each space). Mary and Tom pick parking spaces at random. (All pairs of parking spaces are equally likely.)..
The perimeter of a rectangular playing field is 244 feet. If its length is 2 feet longer than twice its width, what are the dimensions of the field?
A textbook store sold a combined total of physics and math textbooks in a week. The number of physics textbooks sold was two times the number of math textbooks sold. How many textbooks of each type were sold?
Modelling the Rules of a Game. Alex and Mark are playing a game. The goal is to get to 100. The first player picks a whole number from 1 to 10, inclusive, and then the second player picks a whole number from 1 to 10 and adds it to the score so far..
A hemisphere of radius 8 sits on a horizontal plane. A cylinder stands with its axis vertical, the center of its base at the center of the sphere, and its top circular rim touching the hemisphere. Find the radius and height of the cylinder of maxi..
The logistic growth function f(t)=400/1+9.0e^-0.22t describes the population of a species of butterflies t months after they are introduced to a non-threatening habitat. How many butterflies are expected in the habitat after 12 months?
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