MTH 302 GDB Solution

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  MTH-302 Prepared By: Raheel Raaj M. Accounting & Finance Question 1   Find the centered average and trends in the following data   Quarter Actual Moving Average Centered Average Trend 1 198 2 96 3 202 170.5 31.5 4 186 166 168.25 20 5 180 159.25 162.625 20.75 6 69 184.25 171.75 -115.25 7 302 215.25 199.75 86.75 8 310 220.5 217.875 89.5 9 201 223.75 222.125 -22.75 10 82 194.5 209.125 -112.5 11 185 191.5 193 -6.5 12 298   Question 2: a) If the five numbers cards 1,2,3,4,5 are put into a box, in how many different a) ways could you draw one out? Ans: = 5 x 4 x 3 x 2 x 1 = 5! = 120  b) When one of them has been drawn, in how many ways could you a) draw a second? Ans:   5  P 2  = 5! / (5 - 2)! = 120/2 = 60 c) Therefore, in how many ways could you draw two numbers? Ans: 2! = 2 x 1 2! =2 d) What is the meaning of the symbol 5  P  4 ? Ans:  The number of permutations of 5 different things taken 4 at a time. e) Evaluate 5  P  4 Ans: n  P r  = n! / (n - r)! 5  P 4  = 5! / (5 - 4)! 5  P 4  = 5 x 4 x 3 x 2 x 1 / 1! 5  P 4  = 120
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