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71

The marks scored by 4 students in Mathematics and Physics are ranked as shown in the table below

Mathematics 3 4 2 1
Physics 4 3 1 2

Calculate the Spearmann's rank correlation coefficient.

  • A. 0.2
  • B. 0.5
  • C. 0.6
  • D. 0.7
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72

Given that \(a = i - 3j\) and \(b = -2i + 5j\) and \(c = 3i - j\), calculate \(|a - b + c|\).

  • A. \(\sqrt{13}\)
  • B. \(3\sqrt{13}\)
  • C. \(6\sqrt{13}\)
  • D. \(9\sqrt{13}\)
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73

What is the probability of obtaining a head and a six when a fair coin and and a die are tossed together? 

  • A. \(\frac{1}{12}\)
  • B. \(\frac{1}{3}\)
  • C. \(\frac{1}{2}\)
  • D. \(\frac{2}{3}\)
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74

If \(\overrightarrow{OX} = \begin{pmatrix} -7 \\ 6 \end{pmatrix}\) and \(\overrightarrow{OY} = \begin{pmatrix} 16 \\ -11 \end{pmatrix}\), find \(\overrightarrow{YX}\).

  • A. \(\begin{pmatrix} 9 \\ -5 \end{pmatrix}\)
  • B. \(\begin{pmatrix} -23 \\ -5 \end{pmatrix}\)
  • C. \(\begin{pmatrix} 9 \\ 17 \end{pmatrix}\)
  • D. \(\begin{pmatrix} -23 \\ 17 \end{pmatrix}\)
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75

A body of mass 28g, initially at rest is acted upon by a force, F Newtons. If it attains a velocity of \(5.4ms^{-1}\) in 18 seconds, find the value of F.

  • A. 0.0082N
  • B. 0.0084N
  • C. 0.082N
  • D. 0.084N
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