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Math Applications SL Paper 2 (November 2024, TZ2)

  1. [Maximum mark: 13]
    restaurant floorplan with Voronoi diagram
    (a) Write down the coordinates of A. [1]

(b) Find
(i) the coordinates of the midpoint of [CD] [2]

(ii) the equation of the perpendicular bisector of [CD]. Give your answer in the form y = mx + c. [6]

(c) Using nearest‑neighbour interpolation, find the average waiting time for a customer at point (4, 6). [1]

(d) State the alternative hypothesis. [1]

(e) (i) State which one of the following methods best describes the owner’s planned sampling: convenience, systematic, or stratified. [1]

(ii) State one disadvantage of this sampling technique. [1]

(f) State the conclusion for the test. Justify your answer. [2]