algebra 2 Studelll rainfall from 1981-2008, the mm of (near ared to the annual m

Question

algebra 2

Studelll rainfall from 1981-2008, the mm of (near ared to the annual more than of the previous 28 rainfall in Getafe, Madrid) in 2009 was than 91 02% of those years years, the in was more rainfall calculate the amount of rainfall needed in the 2011 season to maintain the average established from Spain mm of 19. Getafe received 293.08 mm of rain in 2011. Calculate the percen to accurately complete the statement below. 2011 saw more rainfall than of the years from 1981-2008. 21. Find the average annual rainfall from 1981 to 2011 to the nearest hundredth of a millimeter. (over)

Explanation / Answer

You have 57.93% (100%-42.07%) below 309.36 mm --> 0.5793 --> z-Scores Table --> z = 0.2

You have 91.92% below 463.04 mm --> 0.9192 --> z-Scores Table --> z = 1.4

Using z = (x - mu)/sigma, you have 2 equations and 2 unknowns

mu = 283.748 mm and sigma = 128.058 mm

Answer A: 283.748 mm

Answer B: z = (293.08 - 283.748)/128.058 = 0.73 --> 73%

Answer C: (27*283.748 + 309.36 + 463.04 + 293.08)/30 = 290.89 mm

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