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A box contains 14 white balls and 6 black balls. Find the probability of first drawing a black…

A fair coin is tossed 3 times. Find the probability of obtaining exactly 2 heads. A. (frac{1}{8}) B.…

Given that (n = 10) and (sum d^{2} = 20), calculate the Spearman’s rank correlation coefficient. A. 0.121…

Find the variance of 11, 12, 13, 14 and 15. A. 2 B. 3 C. (sqrt{2}) D. 13…

The radius of a circle increases at a rate of 0.5(cms^{-1}). Find the rate of change in the…

Find an expression for y given that (frac{mathrm d y}{mathrm d x} = x^{2}sqrt{x}) A. (frac{1x^{frac{2}{7}}}{7} + c)…

Find the gradient to the normal of the curve (y = x^{3} – x^{2}) at the point where…

Find the minimum value of (y = 3x^{2} – x – 6). A. (-6frac{1}{6}) B. (-6frac{1}{12}) C. (-6)…

The lines (2y + 3x – 16 = 0) and (7y – 2x – 6 = 0) intersect…

Find (limlimits_{x to 3} frac{2x^{2} + x – 21}{x – 3}). A. 0 B. 1 C. 7 D.…