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there are two urns, a green urn and a red urn. the green urn contains 17 green balls and the red urn contains 15 red balls. each round one ball is chosen randomly from either urn. the probability that the green urn on any given round is chosen is 4/7. the probability that the red urn is chosen is 3/7. what is the probability that there are exactly 6 red balls remaining at the moment the green urn is discovered to be empty?
Explain, in your own words, the product rule of exponents. Why does it work? Give examples. Please use a problem from page 412 #'s 27 - 38 or page 413 #'s 51 - 56, 101 as your example for this question. Please try to avoid using a problem someone ..
A balloon rises vertically after it is released and is tracked by an observer 50 feet from the point of release. At a certain moment the angle between the balloon and the foot of the observer is and is changing at a rate of 2 rad/min. At what rate..
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
N(x)=-0.4x^2+8.8x+14 where x is the number of days since a concert was announced; when will sales peak and how many tickets will be sold.
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.
Calculate the angles that the two sections of the rope make with the beam, in degrees correct to two decimal places. The chandelier has mass 14 kg. Assume that the only forces acting on it are its weight and the tensions in the two sections of the..
A garden is rectangular with dimensions 20 m by 25 m . it is surrounded by a walkway. the outside perimeter of the walkway is 114m. The width of the walkway is equal on all four sides of the garden. What is the width of the walkway? use an algebra..
Suppose that a tank initially contains 2000 gal of water and the rate of change of its volume after the tank drains for t min is '(t)=(0.5)t)-30 (in gallons per minute).
an aircraft flew four hours with the wind. the return trip took 5 hours with the wind. if the speed of the plane in still air is 144 miles per hour more than the speed of the wind find the wind speed and the speed of the plane in still air.
Find the exact value of the volume of a can of asparagus with a diameter of 8 centimeters and height of 10 centimeters. Include correct units with your solution. Use "pi" in place of the pi symbol.
The number of shark attacks and deaths over a recent 5- year period is shown. Find the mean, median, mode, midrange, variance, and standard deviation for the date. Which data set is more valuable?
A building contractor wants to fence in a rectangular plot adjacent to a straight stream by using the stream for one side of the enclosed area
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