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The Hill of Tara in Ireland is a place of great archaeological importance. This region has been occupied by people for more than 4,000 years. Geomagnetic surveys detect subsurface anomalies in the earth's magnetic field. These surveys have led to many significant archaeological discoveries. After collecting data, the next step is to begin a statistical study. The following data measure magnetic susceptibility (centimeter-gram-second cross product 10-6) on two of the main grids of the Hill of Tara (Reference: Tara: An Archaeological Survey by Conor Newman, Royal Irish Academy, Dublin).Grid E: x variable7.85 8.59 13.77 33.01 33.75 31.16 29.687.85 30.05 11.55 33.38 33.75 18.58 19.32Grid H: y variable24.10 30.21 55.12 52.30 56.06 29.74 21.7542.43 37.26 33.97 38.20 17.05 48.07 18.46(a) Compute Σx, Σx2, Σy, Σy2. (Enter your answers to 2 decimal places.)Σx Σx2 Σy Σy2 (b) Use the results of part (a) to compute the sample mean, variance, and standard deviation for x and for y. (Enter your answers to 2 decimal places.)x yx bar s2 s
Paola purchased an office building on January 5, 2009, for $450,000. $30,000 of the price was for the land. On September 25, 2011, he sold the office building. What is the cost recovery deduction for 2011 rounded to the nearest dollar?
Suppose that it is a presidential election year and Ohio is one of the "swing" states. Your polling company wants to conduct a presidential preference poll of the citizens of Ohio to predict which candidate will win the election.
80% of all California drivers wear seat belts.If three drivers are pulled over , what is the probability that all would would wearing their seat belts? write as a percent to the nerest tenth.
Provide brief justification for those that are and counter examples for those that are not.
A $60,000 loan was taken out at at 6.75% interest rate. The monthly payment is $500. What is the length of the loan?
for all x = (x1, x2), y = (y1, y2) ∈ V , α1, α2, β1, β2 some fixed real numbers, and scalar multiplication is the usual scalar multiplication. What values of α1 , α2 , β1 , β2 make V a vector space (over R).
Use the arc length formula to find the length of the curve
If local mortgage rates are 8.5%/year compounded monthly for a conventional 30-yr mortgage, what is the price range of houses they should consider? (Round your answers to the nearest cent.)
Impact of Historical Research on Businesses
A manufacturer finds that the total profit from producing and selling Q units of a product is given by the profit function:
A surveyor finds that a tree on the opposite bank of a river has a bearing of N 22 degrees 30'E from a certain point and a bearing of N 15 degrees W from a point 400 feet downstream. Find the width of the river.
Find a suitable rearrangement such that the sequence starting with xo = 0.5 converges to the largest positve root. Show that your rearrangement satisfies the criteria of Theorem.
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