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The odds against student X solving a business statistics problem are 8: 6 and odds in favour of student Y solving the same problem are 14: 16 What is the chance that the problem will be solved, if they try independently?
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The odds against student X solving a business statistics problem are 8: 6 and odds in favour of student Y solving the same problem are 14: 16 What is the probability that neither solves the problem?
Concept: undefined >> undefined
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If `omega` is a complex cube root of unity, show that `(2 - omega)(2 - omega^2)` = 7
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If ω is a complex cube root of unity, show that (2 + ω + ω2)3 - (1 - 3ω + ω2)3 = 65
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If ω is a complex cube root of unity, show that `(("a" + "b"omega + "c"omega^2))/("c" + "a"omega + "b"omega^2) = omega^2`.
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If ω is a complex cube root of unity, find the value of `omega + 1/omega`
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If ω is a complex cube root of unity, find the value of ω2 + ω3 + ω4.
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If ω is a complex cube root of unity, find the value of (1 + ω2)3
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If ω is a complex cube root of unity, find the value of (1 - ω - ω2)3 + (1 - ω + ω2)3
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If `omega` is a complex cube root of unity, find the value of `(1 + omega)(1 + omega^2)(1 + omega^4)(1 + omega^8)`
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If α and β are the complex cube roots of unity, show that α2 + β2 + αβ = 0.
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If x = a + b, y = αa + βb and z = aβ + bα, where α and β are the complex cube roots of unity, show that xyz = a3 + b3.
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If ω is a complex cube root of unity, then prove the following: (ω2 + ω - 1)3 = – 8
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If ω is a complex cube root of unity, then prove the following: (a + b) + (aω + bω2) + (aω2 + bω) = 0.
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Find A.M. of two positive numbers whose G.M. and H.M. are 4 and `16/5`.
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Find H.M. of two positive numbers whose A.M. and G.M. are `15/2` and 6.
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Find G.M. of two positive numbers whose A.M. and H.M. are 75 and 48.
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Find two numbers whose A.M. exceeds their G.M. by `1/2` and their H.M. by `25/26`.
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Find two numbers whose A.M. exceeds G.M. by 7 and their H.M. by `63/5`.
Concept: undefined >> undefined
Simplify the following and express in the form a + ib.
`(3i^5 + 2i^7 + i^9)/(i^6 + 2i^8 + 3i^18)`
Concept: undefined >> undefined
