Age(in years)1 - 56 - 1011 - 15Frequency352Calculate the standard deviation of the distribution.
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2006
A particle of mass 2.5 kg is moving at a speed of 12 m/s. If a force of magnitude 10 N acts against it, find how long it takes to come to rest.
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2006
The area of a sector of a circle is 3\(cm^{2}\). If the sector subtends an angle of 1.5 radians at the centre, calculate the radius of the circle.
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2006
Simplify \(8^{n} \times 2^{2n} \div 4^{3n}\)
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2006
Which of the following is a singular matrix?
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2006
Simplify \(\frac{^{n}P_{4}}{^{n}C_{4}}\)
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2006
A committee of 4 is to be selected from a group of 5 men and 3 women. In how many ways can this be done if the chairman of the committee must be a man?
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2006
The mean age of n men in a club is 50 years. Two men aged 55 and 63 years left the club, and the mean age reduced by 1 year. Find the value of n.
Find the sum of the exponential series \(96 + 24 + 6 +...\)
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2006
The roots of the equation \(2x^{2} + kx + 5 = 0\) are \(\alpha\) and \(\beta\), where k is a constant. If \(\alpha^{2} + \beta^{2} = -1\), find the values of k.
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2006
Find the equation of the line passing through (0, -1) and parallel to the y- axis.
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2006
Find the coefficient of \(x^{4}\) in the binomial expansion of \((1 - 2x)^{6}\).
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2006
If \(f(x) = \frac{1}{2 - x}, x \neq 2\), find \(f^{-1}(-\frac{1}{2})\).
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2006
Given that \((\sqrt{3} - 5\sqrt{2})(\sqrt{3} + \sqrt{2}) = p + q\sqrt{6}\), find q.