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Formula for a Perfect Holiday


What’s the formula for the perfect holiday? I’d have thought it depends very much on what sort of person you are. But a mathematician, a psychologist and travel experts from online travel agency Expedia.co.nz, reckon they’ve got it sussed for all of us.

Based on research from 1000 Australians and 500 New Zealanders about their holidays they’ve worked out a mathematical equation which, they reckon, can guarantee a happy holiday.

Pure mathematician Dr Rupert McCallum says he used mathematical techniques to explore the relationship between the individual factors and overall enjoyment. “The factors that make up the equation are the perfect mathematical blend, some have a bigger bearing on holiday contentment than others, as denoted by the numerical values, but put them all together and statistically speaking, you should have a happier holiday.”

His formula, with the weighting applied to different factors in brackets, is:

Holiday happiness = happiness (baseline) + great destination (21.2) + plenty of activities (7.8) + great food (6.4) + value for money (5.1) + safety and security (4) + relaxed on return (3.6) + great weather (1.9) + great hotel (1.6) + holiday envy from friends or family (1).

Source here

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NCEA Level 2 Algebra Problem. Using the information given, the shaded area = 9, that is:
y(y-8) = 9 –> y.y – 8y – 9 =0
–> (y-9)(y+1) = 0, therefore y = 9 (can’t have a distance of – 1 for the other solution for y)
Using the top and bottom of the rectangle,
x = (y-8)(y+2) = (9-8)(9+2) = 11
but, the left side = (x-4) = 11-4 = 7, but rhs = y+? = 9+?, which is greater than the value of the opp. side??
[I think that the left had side was a mistake and should have read (x+4)?]

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