exam Maths Puzzle Numerical Ability

p(E1)=0.25, P(E2)=0.75, P(F|E1)=0.05, P(F|E2)=0.12
E1 and E2 are mutually exclusive.

P(E2|F) = ____________

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exam Other Question

(a) Express 8 Sin theta - 15 Cos theta, in the format: R.Sin(theta + beta)
(b) Using your answer to part (a), solve; 8 Sin theta - 15 Cos theta=8.5 for 0degrees<=theta<=360degrees explain to me how you solve x+3/2=15