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You are designing a rectangular poster to contain 48 in^2 of printing with a 3-in. margin at the top and bottom and a 1-in. margin at each side. What overall dimensions will minimize the amount of paper used?
The asterisk implies a conditional usually indicated by an arrow. The & sign indicates "and". In Aristotelian logic (X)(FX*GX) logically implies (EX)(FX & GX). Is this true in predicate logic? If not, why not?
Explain what assumption the researcher should be willing to make if a margin of error is desired.
If we draw one card from a 52 card deck, what is the probability that it is red? That it is a diamond? That it is an ace? That it is the ace of diamonds? Find Gambling Probability
A river 35 m wide flows south at a speed if 15 m/s. What must be the velocity and heading of the boat if it is to move directly from the west bank to the east bank in 5 seconds?
To check whether the representation of input elements does not affect the running time of an algorithm
Describe the object, include details on how you went about performing the calculation, and determine the slope. Be sure to include the unit of measurement (inches, feet, yards, etc.).
An entrepreneur buys an apartment building with 40 units. The previous owner charged $240 per month for a single apartment and on average rented 32 apartments at that price.
What is the average number of customers at the tax service, whether waiting for the tax preparer or having the return prepared?
Four marbles are chosen without replacement from a box containing 11 red, 9 blue, and 4 yellow marbles. Let X be the number of blue marbles chosen.
Description of Probabilities, A survey of MBA students obtained the following data on "student's first reason for application to the school in which they matriculated".
A formula is derived for the n-th derivative of a function that is a product of two other functions, f(x)=u(x).v(x). This formula is used to write down the n-th derivative of f(x) = e^x/(1 − x).
Compute the mean and variance for binomial distribution. Calculate the mean and standard deviation (by hand) for the binomial distribution with the probability of a success being 1/4, 1/2, 3/4.
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