exam Maths Puzzle Numerical Ability

What is the probability that 17 rolls of a fair die will show 7 fives?

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exam Other Question

(2sinxcosx + cosx - 2sinx - 1)/(-sin(squared)x) = (2 sinx + 1)/(cosx+1)
Please prove one side to equal the other (verify identity). Thank you.
Please help me solve.

The length of a rectangle is 1 cm more than 2 times its width. If the area of the rectangle is 76 cm^2, find the dimensions of the rectangle to the nearest thousandth.