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(a) An aircraft is flying in a straight line which passes through the points (-1,0,5.6) and (2.5,4.5,5.1) measured in kilometres. Find the equation of the line of the aircraft's path. Show that it is parallel to the ground which is described by the plane -3x + 3y + 6z = 3.
(b) A recent survey has found the position of three points, (-2,5,3), (-1,3,7) and (1,9,2) on a block of land. Find the equation of the plane through these three points.
What is the point estimate of the proportion of the population of office workers who are able to take every telephone call? At 90% confidence, what is the margin of error? What is the 90% confidence interval for the proportion of the population of of..
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