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if 1500 square centimeters of material is used to make a box with square base and an open top, what is the largest possible volume of the box?
The probability of event B given event A is P(B|A)=P(AandB)/P(A) The probability of event A given event B is P(A|B)=P(Aand B)/P(B)
Identify and sketch the graph of the conic described by the quadratic equation x^2 + 4xy + y^2 - 12 = 0. Do this by writing this equation in matrix form
Prove that there is a bijection from the open interval (0, 1) to the half-open interval (0, 1].
A university has 10,000 students of which 50% are male. If a class of 30 students is chosen at random from the university population, find the mean and variance of the number of male students.
A right triangle with legs of 5 and 12 is rotated about it's hypotenuse to form a solid which is pointed at two ends. What is the volume of that solid?
A building is 372 feet tall. For a class project, Kari is to make a scale model of the building to place in the front hall display case. The display case is 29 inches tall. Which scale will allow her to make the tallest model that will fit in the ..
How deep can you expect to work without artificial light?
Claire sells packets of sunflower seeds for $0.95 each and packets of morning glory seeds for $1.43 each. She decides to offer a 16-packet spring-garden combination, combining both types of seeds at $1.10 per packet.
Let f be the function whose graph goes through point (3,6) and whose derivative is given by f'(x) = (1+e^(x))/(x^2). Write the equation of the line tangent to the graph of f at x=3 and use it to approximate f(3.1)
Assume we interview 150 people and ask them the mileage on their car. If we assume that the population mean mileage is 100000 miles, with a population standard deviation of 30000 miles, what does the Central Limit Theorem tell us about the distrib..
Estimate the area under the graph of y=x2+1x for x between 0 and 2 . Use a partition that consists of 4 equal subintervals of [0,2] and use the right endpoint of each subinterval as a sample point.
size of u.s. states. the total surface area (in square miles) for each of six selected Eastern states is listed here. Which set is more variable?
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