[F3]Maths問題...

2008-02-04 5:51 am
(1)Inside a basket, there are 3 pears, 4 apples and 5 oranges. Alan takes out a fruit from the basket at random.
(a) Find the probability that an apple is taken out.
(b) Find the probability that an orange is not taken out.
[Show your working]

(2)The slope of the line joining A(-10,5) and B(5,-10)is what?

(3)Given teo points P(a,-3a) and Q(5a,3a), where a is not equal to 0, find the slope of PQ.

回答 (1)

2008-02-04 6:01 am
✔ 最佳答案
(1)(a)
the probability that an apple is taken out
=4/(3+4+5)
=4/12
=1/3
(b)
the probability that an orange is not taken out
=the probability that either an apple or a pear is taken out
=(3+4)/(3+4+5)
=7/12
2.
slope=[5-(-10)]/(-10-5)=-1
3.
the slope of PQ
=[3a-(-3a)]/(5a-a)
=6a/4a
=3/2


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