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Recall that an element a is called algebraic over a ring (or field) R if a is the root of some polynomial in R[x].
Is the element a = 2/5 + i/3, (R= the integers) algebraic over the ring (or field) R? If so, give a polynomial in R[x] which has a as a root.
Clyde's Marina has estimated that fixed costs per month are $303,480 and variable cost per dollar of sales is $0.40.
55% of a restaurant's orders are from customers eating in the restaurant and 45% from the drive through window. 65% of the orders from the customers eating in the restaurant are from food and 35% from drinks. Solve Probability Problem Quantitative ..
Let R be a PID. Consider the Diophantine equation ax+by=N where a,b and N are integers and a,b are nonzero. Suppose x_0, y_0 is a solution: ax_0+by_0=N.
Assuming that there is no cost to enter the .sweepstakes, find the expected value of the amount won for one entry. Round to the nearest tenth.
find the probability that the airline will have a seat for each person who has reserved one and who shows up
Problems on probability
Explain how a block design can be used to set up this experiment and find the set of parameters ( v, b, k, r, λ ) of such a design where the number of testers is as small as possible.
Solving probability problems based on Binomial distribution
Prove that the regression line passes through the centroid
Calculate the mean, variance, and standard deviation of this distribution.
Suppose a machine has three independent components with Exp(.1) lifetimes. Compute the expected lifetime of the machine if it needs all three components to function properly
Probability of Defective Resistors: DeMoivre-Laplace Theorem, A manufacturer of electronic equipment buys 900 resistors for which the probability of any single resistor being defective is p = 0.01.
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