In a bolt factory, machines A. B, C manufacture respectively 25 % , 35 % , 40% of the total. Of their output 5, 4, 2 percent are known to be defective bolts. A bolt is drawn at random from the product and is found to be defective. What are the probabilities that it was manufactured by (i) Machine A. (i) Machine B or C

integral of sin^xcos^x (sin^3(x)+cos^3(x))^2

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How to come angle PQR and angle PRQ

D and E are any two points on the sides AB and AC respectively of the triangle ABC. DG drawn parallel to BE meets AC in G and EF drawn parallel to CD meets AB in F. Prove that FG is parallel to BC

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evaluate (-1/27)^-2/3