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An airplane is flying in the direction 148 degrees with an airspeed of 860 km/h. Because of the wind, its groundspeed and direction are, respectively, 800 km/h and 140 degrees. Find the direction and speed of the wind.
Calculate the simple linear regression equation
Fitting of simple linear regression
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?
In the World Series, one National League team and one American League team compete for the title, which is awarded to the first team to win four games. In how many different ways can can the series be completed?
On what bearing and at what speed should the ship travel to arrive back at its starting point 24 hours after the voyage began? (Assume that one knot is a speed of one nautical mile per hour).
We use the Fourier expansions of certain poynomial functions to compute the sum of some useful numerical series. The formulas are quite general and give, at the end, the Fourier expansion of every polynomial function.
A committee of four is to be randomly selected from a group of seven teachers and eight students. Find the probability that the committee will consist of four students.
The sum of the infinite series, 1/2^2 - 2/3^2 + 3/4^2 - 4/5^2 + ... is given as pi^2/12 - log 2 on pages 64-65 in the book "Summation of Series" by L. B. W. Jolley, 2nd ed., 1961, Dover Pubs. Inc. (the ^ symbol denotes exponentiation in the above ..
A student insists on finding a common denominator by always multiplying the denominators of the expressions being added. How could this approach be improved?
He estimates the profit on his outlay including the manufacturing of rejected articles to be 20 %.Find the cost of manufacturing of each article.
The average number of television sets in the sample households turns out to be 2.56, and the SD is 0.73. What is the observed value for the average number of television sets per household?
Two boxes of light bulbs are in a warehouse. Box 1 contains 95 good bulbs and 5 defective bulbs, while box 2 contains 90 good and 10 defective bulbs.
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