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olchik [2.2K]
3 years ago
15

65% of what number is 143

Mathematics
2 answers:
natulia [17]3 years ago
4 0
X * .65 = 143
Divide both sides by .65.
x = 220

143 is 65% of 220.
creativ13 [48]3 years ago
3 0
The answer is 220
equation: 143=0.65x
divide both sides by 0.65 to isolate x
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Note: get used to working in fraction when doing probability.

(a) Find P(A|B):

By Baye's Theorem,

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(b) Find P(~A|~B)

We know that

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=P(B|A)*P(A) [def. of cond. prob.]

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=P(~A∩~B)/P(~B)

=P(~A∪B)/P(~B)

=(1-P(A∪B)/(1-P(B)) [ law of complements ]

=(3591/4000) ÷ (449/500)

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The results can be easily verified using a contingency table for a random sample of 4000 persons (assuming outcomes correspond exactly to probability):

===....B...~B...TOT

..A . 9 . . 1 . . 10

.~A .399 .3591 . 3990

Tot .408 .3592 . 4000

So P(A|B)=9/408=3/136

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