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The measurement of the edge of a cube is found to be 19 inches, with a possible error of 0.07 inch. Use differentials to estimate the propagated error in computing (a) the volume of the cube and (b) the surface area of the cube. Give your answers to two decimal places.
What is the probability that between 133 and 171 of the business travelers say that the reason for their most recent business trip was an internal company visit?
Suppose you randomly draw two marbles, without replacement from a bag, containing six green, four red and three black marbles. a) Determine the probability that both marbles are red.
Suppose that ydx + (yx^2-x)dy = 0 has an integrating factor that is a function of x alone [i.i., mu = mu(x)]. Find the integrating factor and use it to solve the differential equation.
compute a 90% confidence interval for the mean serum cholesterol level of teenage males in this city. Assume that the sample was taken from a normal distribution. Round your confidence limits to 2 decimal places.
Find the inverse of the matrix, if it exists. Verify your answer. (If an answer does not exist, enter DNE.)
Find the length L and width W of the enclosure that is most economical to construct.
Explain Probability of birthdays. Are your best friends' birthdays dependent or independent events?
Blaise drew a scale drawing of a swimming pool. In real life, the pool is 12 meters wide. It is 15 millimeters wide in the drawing. What is the scale of the drawing?
find the standard equation of a parabola that has a vertical axis and satisfies the given conditions. x-intercepts 4 and 0, lowest point has y-coordinate -12.
Chef loves circular cakes. He divides them into smaller pieces and sells them. You are to help him in this work. Today Chef has cooked the brand new circular cake
A vat with 600 gallons of beer contains 4% alcohol (by >volume). Beer with 6% alcohol is pumped into the vat at a rate of 6 gal/min and the mixture is pumped out at the same rate. What is the percentage of alcohol after an hour?
Suppose that V and W are vector subspaces of Rn. If I define: How can I prove that V+W is also a vector subspace of Rn and ALSO how could verify that (for example)
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