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## anonymous 5 years ago Find the probability that a point X, selected randomly on line LQ, is on the given segment. 1)Line LM 2)line NP 3)line OQ 4)line MQ

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1. anonymous

2. anonymous

its upside down sorry about that

3. anonymous

The probability would be the ratio of the segment lengths to the total. Let $S_{AB} = The\ length\ of\ a\ segment\ from\ A\ to\ B$ $P_{AB} = The\ probability\ for\ a\ random\ point\ to\ be\ on\ the\ segment\ AB$ $\rightarrow P_{LM} = S_{LM}/S_{LQ}$ $\rightarrow P_{NP} = S_{NP}/S_{LQ}$ $\rightarrow P_{OQ} = S_{OQ}/S_{LQ}$ $\rightarrow P_{MQ} = S_{MQ}/S_{LQ}$ etc.

4. anonymous

The probability of x being on a line segment is the length of the segment divided by the total length of the line. Which part of this is confusing?

5. anonymous

so the first one would be 2/17

6. anonymous

Nearly. 2 is the length of LM, but the length of LQ is not 17.

7. anonymous

so 2/24

8. anonymous

Yes.

9. anonymous

Np=12/24 OQ= 12/24 MQ= 19/24

10. anonymous

MQ is 22 units in length. Otherwise those numbers are correct.

11. anonymous

okay thank you

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