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Using the polynomial f(x) = x4 - x3 -x2 - x - 2 , we can also view f as an element of Z[x] , let F be an algebraically closed field containing Z3, how many distinct zeros does f have in F?
Find the 99% confidence interval
Suppose also that 200 nonpregnant women take the test, and 184 of them test "negative" and the remaining 16 test "positive." What is the probability that a woman who tests positive is actually pregnant?
Ellie bought a circular etched-glass tabletop to use as her dining room table. The glass is 18 ft in diameter. Find the cost of the tabletop at $ 96 per square yard of glass.
A particle is set in motion at time t=0 and moves to the right along the x-axis. (a) Suppose that its acceleration at time t is a=100e^(-1). Show that the particle moves infinitely far to the right along the x-axis.
Filling a tank. A water tank has an inlet pipe and a drain pipe. A full tank can be emptied in 30 minutes if the drain is opened and an empty tank can be filled in 45 minutes with the inlet pipe opened.
Finding the accumulated value of compound interest.
Solve without graphing. Find the slope and the y-intercept for the graph of each equation in the given system. Use this information (and not the equations graph) to determine if the system has no solution or an infinite number of solutions.
Define a Fourier Transform. What are its properties and application areas ? Describe its application in signal processing.
Find dy/dx by implicit differentiation. where p is the unit price in dollars and x is the quantity demanded each week, measure in units of a thousand. Compute the elasticity of demand and determine whether the demand is elastic, inelastic, or unit..
In a tank containing 100 gallons of fresh water, 10 lbs of salt was added instead of 20 lbs. To correct the mistake, fresh water was added at the rate of 3 gallons per minute while draining off the well stirred salt solution from the tank at the s..
Use the regression model to predict the shipments
Find the percent of the dowels will have a diameter less than 0.56?
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