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A 65 foot rope hangs from the top of a pole. When pulled taut to its fullest length the rope reaches a point on the ground 30 feet from the base of the pole. Find the height of the pole to the nearest tenth of a foot. Let p equal the height of the pole.
Assume 450,000 people line up on the streets to see the Macy's Thanksgiving Parade in 2010. If attendance is expected to increase 30%, what will be the number of people lined up on the street to see the 2011 parade?
Calculate Analytically the 1st and 2nd legendre transforms of this function. Make sure to express the transforms in terms of their naturAl variables. CAn you generalize your result for the the behavior os the second legendre transform?
A boxing ring is in the shape of a square, 20 ft on each side. How far apart are the fighters when they are in opposite corners of the ring?
the speed of a passenger train is 14 mph faster than the speed of a freight train. The passenger train travels 280 miles in the same time it takes the freight train to travel 210 miles. Find the speed of each train.
Find the area A of the region if the length of the side parallel to the river bank is one-half the length of an adjacent side.
Consider the following linear mapping from C[-pi,pi] into itself: L(f)=integral from -pi to pi of G(x),h(y),f(y)dy for any function f(x) in C[-pi,pi].
In the game of bridge, each of 4 players is dealt 13 cards. If a certain player has no aces, find the probability that that person's partner has:
Find the value of the constant, Constant, in the equation below. Round your answer to one decimal place.
If the marble selected is white, then what is the probability that a flip resulted in a head?
A building 240 feet tall casts a 100 foot long shadow. If a person stands at the end of the shadow and looks up to the top of the building, what is the angle of the person's eyes to the top of the building (to the nearest hundredth of a degree)?
Characterize completely the random variable that is Bin(49, 0.3).
A box with no top is to be built by taking a 6'' - by - 10'' sheet of cardboard and cutting x - in. squares out of each corner and folding up the sides. Find the value of x that maximizes the volume of the box.
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