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one card is selected at random from a standard deck of 52 playing cards, what is the probability that the card is an even-numbered card.
a farmer with 2000 meters of fencing wants to enclose a rectangular plot that borders on a striagt highway. If the farmer does not fence the side along the highway, what is the largest area that can be enclosed?
Show that if 7 integers are selected from the first 10 positive integers there must be at least 2 pairs of these integers with the sum 11
Determine the equation for 9(t) thus obtaining differential equations for the functions x(t) and y(t). What initial conditions do these functions satisfy at t = 0?
find the work done in moving an object through the force field F=xi+y^1/2j along the curve y=x^3/2 from (0,0) to (4,8)
A package can have a maximum combined length and girth of 108 inches. Find the dimensions of the package of maximum volume that can be sent. (assume that the cross section is a square)
Elena bicycles 5km/h faster than Dennis. In the same time it takes Dennis to bicycle 36km, Elena can bicycle 51km. How fast does each bicyclist travel?
How many of each should you purchase to minimize the total cost? (b) What is the total cost?
Also, the number of radio ads must be at least as great as the number of television ads. How many ads of each type should be used? How many people will this reach?
what is the equation for width of a rectangle is 47 inches and the perimeter is 286 inches.
Find an equation of the tangent line to the curve y(x) = (9/(sin(x)cos(x))+(3sin(x)/(sec(x)cos(x)) at the point (1/5 Pi, y(1/5 Pi))
Eighty percent of all California drivers wear seat belts. If three drivers are pulled over, what is the probability that all would be wearing their seat belts? Write as a percent to the nearest tenth.
Mean and Variance of a Probability distribution, A bank keeps tracks of customers coming into the bank between 12 Noon and1 PM on Monday.
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