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Answer: [0, ] and [ 0,1] Define f: [ 0,1] [1, ] By f(x) = ½ 0 Therefore f does map [0,1] to [1, ] Also f-1 (x) = since x then 0< 1 so f-1 maps [1, ] to [0,1] Moreover F(f-1 (x))= f()= = x F-1 (f (x))= f-1 ()= = x Thus f is bijection Define g : [1, ] to [0,] by g(x) =x-1 ...
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Answer: Introduction: The report concentrates on few mathematical issues in general life. It majorly focuses on an event and how an individual manages the cash to plan a party for their dear ones. It focuses on the proper budget planning, taxation planning, cost control etc which helps the individual to throw a better party for their dear and near ones. Event description: A surprise birthday planning has been done for the mother from the to...
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Answer: A simple random sampling involves selecting out units to form a desired sample size, in which each unit on this population will have an equal probability of being selected if possible. In our case we had a population of 94 units representing weight of the male students, but our desired size was 36 units, therefore the following were the steps used in sampling out 36 units from a population of 94 units that were representing...
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Answer: Investigating difference between pairs of triangular and square numbers The triangular numbers are formed through formation of triangular counters. Examples of triangular numbers include 1, 3, 6, 10, 15, 21, 28, 36, 45, 55 e.t.c. The basic sequence of formation of these numbers follows the product of the nth number and the next number divided by 2 (Posamentier, & Lehmann, 2009). For instance, to get the fourth triangular number, w...
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