Mathematical Calculations and Probability in Business Decision Making

PART A
Question 1
I)
a)
574 / (52 + 42) (3 * 2 * 3)
= 574 / (25 + 16) (6 + 3)
= 574 / (41) (9)
= 574 / 369
= 1.55
b)
(4335 / 172) (42 / 8)
= (43335 / 289) (16 / 8)
= (15) (2)
= 30
c)
960 / 8 (1 + 2 * 2) - 202
= 960 / 8(1+4) – 400
= 960 / 8 (5) – 400
= 960 / 40 – 400
= 24 – 400
= -376
d)
43 * [(2*5*2 + 22) / (5 + 33)]
= 64 * [(20 + 4) / (5 + 27)]
= 64 * [24 / 32]
= 64 * 0.75
= 48
1

e)
[216 / (10 + 2)] / 32 + 9 – 2 + [(82 * 2) 2]
= [216 / 12] / 9 + 9 – 2 + [(64 * 2) 2]
= 18 / 9 + 9 – 2 + 256
2 + 9 – 2 + 256
= 11 + 254
265
II)
a)
(-44) * (-4)
= 176 (-) * (-) = (+)
b)
26 + (-16)
= 26 – 16
= 10
c)
(-64) / 8 – (-9)
= - 8 + 9
= 1
III)
a)
2/5 + 3/7
= (2*7) + (5*3) / 5*7
= 14 + 15 / 35
= 29 / 35
= 0.828
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b)
5/6 – 2/5
= (5*5) – (6*2) / 6*5
= 25 – 12 / 30
= 13/ 30
= 0.43
c)
5 1 /4 + 2 2 /5
= (4 * 5 + 1 / 4) + (5 * 2 + 2 / 5)
= 21/4 + 12/5
= 21*5 + 12*4 / 5*4
= (105 + 48) / 20
= 153 / 20
= 7.65
IV)
(a) Calculation of blue shirts
= 72500 * 26.8%
= 19430
(b) Calculation of number of students not based in UK
No of students based in UK
= Total students * 21.6%
= 32000 * 21.6%
= 6912
No of students based in UK = 32000 – 6912
= 25088
V)
(a) Calculation of investment contributed by each investor:
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