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Three school prefects are to be chosen from four girls and five boys. What is…

Three school prefects are to be chosen from four girls and five boys. What is the probability that…
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The line (2y = x + 3) meets the circle (x^{2} + y^{2} – 2x…

The line (2y = x + 3) meets the circle (x^{2} + y^{2} – 2x + 6y –…
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A side of a rectangle is three times the other. If the perimeter increases by…

A side of a rectangle is three times the other. If the perimeter increases by 2%, find the…
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Calculate the gradient of the curve (x^{3} + y^{3} – 2xy = 11) at (2,…

Calculate the gradient of the curve (x^{3} + y^{3} – 2xy = 11) at (2, -1). Explanation (x^{3}…
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If the coefficient of (x^{2}) and (x^{3}) in the expansion of ((p + qx)^{7})…

(a) If the coefficient of (x^{2}) and (x^{3}) in the expansion of ((p + qx)^{7}) are equal, express…
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A(-1, 2), B(3, 5) and C(4, 8) are the vertices of triangle ABC. Forces…

(a) A(-1, 2), B(3, 5) and C(4, 8) are the vertices of triangle ABC. Forces whose magnitudes are…
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Given that (x = 3i – j, y = 2i + kj) and the…

(a) Given that (x = 3i – j, y = 2i + kj) and the cosine of the…
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The probabilities that Kofi, Kwasi and Ama will pass a certain examination are (frac{9}{10}, frac{4}{5})…

The probabilities that Kofi, Kwasi and Ama will pass a certain examination are (frac{9}{10}, frac{4}{5}) and x respectively.…
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The histogram above represents the scores of some candidates in an examination.  (a) Using the…

The histogram above represents the scores of some candidates in an examination.  (a) Using the histogram, construct a…
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If (f(x) = frac{x – 3}{2x – 1} , x neq frac{1}{2}) and (g(x) = frac{x…

(a) If (f(x) = frac{x – 3}{2x – 1} , x neq frac{1}{2}) and (g(x) = frac{x – 1}{x +…
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