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Question Number 189643 Answers: 1 Comments: 0

f(x)=((sinx+cosx)/3) R_(f(x)) =?

$$\mathrm{f}\left(\mathrm{x}\right)=\frac{\mathrm{sinx}+\mathrm{cosx}}{\mathrm{3}} \\ $$$$\mathrm{R}_{\mathrm{f}\left(\mathrm{x}\right)} =? \\ $$

Question Number 189641 Answers: 1 Comments: 3

A man has equal chances of travelling by air(A), bus(B) and train(T). the probability that when he travels by air, bus or train he will have an accident are (1/3), (3/5) and (1/(10)). find the probability that (a) he travelled and was involved in an accident (b) he was travelling by air given that he was involved in an accident. (c) he was travelling by bus or he arrived safely

$$\mathrm{A}\:\mathrm{man}\:\mathrm{has}\:\mathrm{equal}\:\mathrm{chances}\:\mathrm{of}\:\mathrm{travelling}\:\mathrm{by}\: \\ $$$$\mathrm{air}\left(\mathrm{A}\right),\:\mathrm{bus}\left(\mathrm{B}\right)\:\mathrm{and}\:\mathrm{train}\left(\mathrm{T}\right).\:\mathrm{the}\:\mathrm{probability} \\ $$$$\mathrm{that}\:\mathrm{when}\:\mathrm{he}\:\mathrm{travels}\:\mathrm{by}\:\mathrm{air},\:\mathrm{bus}\:\mathrm{or}\:\mathrm{train}\:\mathrm{he} \\ $$$$\mathrm{will}\:\mathrm{have}\:\mathrm{an}\:\mathrm{accident}\:\mathrm{are}\:\frac{\mathrm{1}}{\mathrm{3}},\:\frac{\mathrm{3}}{\mathrm{5}}\:\mathrm{and}\:\frac{\mathrm{1}}{\mathrm{10}}. \\ $$$$\mathrm{find}\:\mathrm{the}\:\mathrm{probability}\:\mathrm{that}\: \\ $$$$\left(\mathrm{a}\right)\:\mathrm{he}\:\mathrm{travelled}\:\mathrm{and}\:\mathrm{was}\:\mathrm{involved}\:\mathrm{in}\:\mathrm{an}\:\mathrm{accident} \\ $$$$\left(\mathrm{b}\right)\:\mathrm{he}\:\mathrm{was}\:\mathrm{travelling}\:\mathrm{by}\:\mathrm{air}\:\mathrm{given}\:\mathrm{that}\:\mathrm{he}\:\mathrm{was} \\ $$$$\mathrm{involved}\:\mathrm{in}\:\mathrm{an}\:\mathrm{accident}. \\ $$$$\left(\mathrm{c}\right)\:\mathrm{he}\:\mathrm{was}\:\mathrm{travelling}\:\mathrm{by}\:\mathrm{bus}\:\mathrm{or}\:\mathrm{he}\:\mathrm{arrived}\:\mathrm{safely} \\ $$

Question Number 189639 Answers: 1 Comments: 1

(((20)),(( 0)) ) (((10)),(( 1)) ) + (((20)),(( 1)) ) (((10)),(( 2)) ) +...+ ((( 20)),(( 9)) ) ((( 10)),(( 10)) ) =?

$$ \\ $$$$\:\:\begin{pmatrix}{\mathrm{20}}\\{\:\mathrm{0}}\end{pmatrix}\:\begin{pmatrix}{\mathrm{10}}\\{\:\mathrm{1}}\end{pmatrix}\:+\:\begin{pmatrix}{\mathrm{20}}\\{\:\mathrm{1}}\end{pmatrix}\:\begin{pmatrix}{\mathrm{10}}\\{\:\:\mathrm{2}}\end{pmatrix}\:+...+\:\begin{pmatrix}{\:\:\:\mathrm{20}}\\{\:\:\mathrm{9}}\end{pmatrix}\:\begin{pmatrix}{\:\:\mathrm{10}}\\{\:\mathrm{10}}\end{pmatrix}\:=? \\ $$$$ \\ $$

Question Number 189664 Answers: 1 Comments: 0