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An oil refinery is located 1 km north of the north bank of a straight river that is 3 km wide. A pipeline is to be constructed from the refinery to storage tanks located on the south bank of the river 7 km east of the refinery. The cost of laying pipe is $500,000 per km over land to a point P on the north bank and $1,000,000 per km under the river to the tanks. To minimize the cost of the pipeline, how far downriver from the refinery should the point P be located?
Four people select a main dish from a menu of 7 items. How many choices are possible: If a record is kept of who selected which choice (as a waiter would)
You want to order T-shirts for your organization. The price is $15 for each T-shirt and $10 for shipping. Write an expression for the amount of money this will cost you.
If this problem is too difficult, then perhaps you may solve an easier one, just to give me some direction please. The only example I have is the Riemann function for the telegraph equation
Find the alternative hypothesis and the null hypothesis.
The answer to Probability theory It is found that when a particular 4-sided die is rolled a 1 occurs 22.8% of the time, a 2 occurs 25.3% of the time, a 3 occurs 20.8% of the time, and a 4 occurs 31.1% of the time.
Find the amount of the winning bid if there were 7 bidders.
Important information about Probabilty, A single die is rolled once. You lose $12 if a number divisible by 3 turns up. How much should you win if a number not divisible by 3 turns up for the game to be fair?
Prove that the regression line passes through the centroid
Reduce the equation to one of the standard forms, classify the surface, and sketch it.
Is it possible to have a triangle with sides measuring 10ft, 12 ft, and 23 ft.? A mountain road is inclined 30 degrees with the horizontal, if a pick-up truck drives 2 mi. on this road , what change in altitude has been achieved?
A 6.00 in radius cylindrical rod is 2 ft long. Use a differential to approximate how much nickel (in in^3) is needed to coat the entire rod with the thickness of .12 in.
Transcribe the English argument below into an appropriate logical language adequate to determine it to be valid. Also, please provide a derivation of the conclusion from the premises within the same logical system (by which you transcribed it).
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