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Find the probability that when a fair coin is flipped five times tails comes up exactly three times, the first and last flips come up tails, or the second and fourth flips come up heads.
Two cranes can unload a ship together in 6 hours. The faster crane takes 5 hours less than the slower crane, if each were to unload the same ship alone. How long does it take for each crane to unload this ship?
A trough is 4 feet long and 1 foot high. The vertical cross-section of the trough parallel to an end is shaped like the graph of from to . The trough is full of water. Find the amount of work in foot-pounds required to empty the trough by pumping ..
resolve a force of 60lb into two components one of which is 38lb and makes an angle of 45 degrees with the given force.
translate each of the following sentences into first-order logic a malone does not read every book that is recommended
The graph on V in which two such sequences form an edge if and only if they differ in exactly one position is called the d-dimensional cube. Let G be a graph containing a cycle C, and assume that G contains a path of length at least k between two ver..
Calculate the value of interference for this interval.
Express the length of the curve as a definite integral. Obtain a numerical approximation to the value of the integral derived in (c). Describe the curve in terms of the intersection of two surfaces in space.
Solving probability problems based on Binomial distribution
An open-topped cylindrical pot is to have volume 125in^3. What dimensions will minimize the total amount of material used in making this pot?
Use differentials to estimate the maximum error in the calculated volume. (Round your answer to the nearest integer.)
find the probability based on normal distribution
three tennis balls are tightly packed one of top of each other in a cylindrical can. what fraction of the volume of the can is occupied by the tennis balls?
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