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A Company needs to run an oil pipeline from an oilrig 25 miles out to sea to a storage tank that is 5 miles inland. The shoreline runs east-west and the tank is 8 miles east of the rig. Assume it costs $50 thousand dollars per mile to construct the pipeline underwater and $20 thousand dollars per mile to construct the pipeline on land. The pipeline will be built in a straight line from the rig to a selected point on the shoreline, then in a straight line to the storage tank. What point on the shoreline should be selected to minimize the total cost of the pipeline?
Let {f_n} be a sequence of measurable functions on [0,1] with |f_n (x)| 0 a.e.x
A bullet is fired vertically upward. Its distance s (in ft) above the ground is given by: s=2250t-16.1t^2 where t is the time (in s).
What is the probability that during a 5-minute interval no one will enter the store? What time interval is such that the probability is 1/2 that no one will enter the store during that interval?
Develop a plan for the distribution of salary increases. Suppose you are employed in a local industry, and your supervisor has assigned you to distribute annual raises that must average 4% per department among 6 team members.
Half angle formula to find the exact value.
If Tom Bombadil's house is 5 miles east of Hobbiton and 12 miles south, what is the straight line distance (omit units)?
Rate of change over the time intervals .
In one residence, cell phones, lap top computers and digital tvs are very popular among students. In fact, all of the students own atleast one of these items, although onlu 15 own all 3.
Determine the asymptotic stability of the system x' = Ax where. More specifically, what stability conclusion(s) can be drawn?
He starts rowing with an angle between North and the direction in which he rows. Find an expression for the time T he will take to get from A to B, in terms of theta.
Give the mean and standard deviation for the coin variable and compare these to the mean and standard deviation for the binomial distribution that was calculate in question 5. explain how they are related. mean=np, standard deviation
Calculate the value of population mean.
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