If he fails the probability that he will not get employment 3 4 Find the

If he fails the probability that he will not get

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. If he fails, the probability that he will not get employment 3 / 4 . Find the probability that: (i) He fails exams and gets employed. (2 marks) (ii) He gets employed. (2 marks) 10
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20. A transformation is represented by the matrix M = 2 -1 2 2 Plot the square X whose vertices are 0(0,0) , A (2,0), and B (2,2) and C (0,2) in the grid provided. (1 mark) (a) Work out the coordinate of the vertices of X 1 , the image of X under the transformation M and plot it on the same grid. (3 marks) (b) Calculate M 2 and draw X 11 the image of X under the transformation M 2 . (4 marks) (c) Describe the transformation represented by M. (2 marks) 11
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21. Using a pair of compasses and ruler only, construct the triangle XYZ in which XY = 5, YXZ = 60 0 and XYZ = 90 0 . Measure the length of the YZ. On the same diagram. (a) Construct the circumcircle of triangle XYZ. (b) Construct , on the same side of XY as Z , the locus of the point P, such that the area of XYP equals half the area of XYZ. (10 marks) 12
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  • Fall '18
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