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3 years ago

Problem 1: Given the following probabilities P(Ac) = 0.45, P(B) = 0.34, and P(B|A) = 0.23. Find the following probabilities:

Mathematics

1 answer:

-BARSIC- [3]3 years ago

8 0

Answer:

P(A)=0.55

P(A and B)=P(A∩B)=0.1265

P(A or B)=P(A∪B)=0.7635

P(A|B)=0.3721

Step-by-step explanation:

P(A')=0.45

P(A)=1-0.45=0.55

P(B∩A)=?

P(B|A)=0.23

P(B|A)=(P(A∩B))/P(A)

0.23=(P(A∩B))/0.55

P(A∩B)=0.23×0.55=0.1265

P(A∪B)=P(A)+P(B)-P(A∩B)

=0.55+0.34-0.1265

=0.7635

P(A|B)=[P(A∩B)]/P(B)=0.1265/0.34 ≈0.3721

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Answer:

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Step-by-step explanation:

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Answer:

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Let the nickels be = n

Let the dimes be = d

Let the quarters be = q

Plato has 36 coins in nickels, dimes, and quarters. So, equation forms:

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$n=2d-3$ ....(2)

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Substituting n=2d-3 in (1) and (3)

$2d-3+d+q=36$

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Multiplying (4) by 0.25 and subtracting (5) from (4)

$0.75d+0.25q=9.75$ now subtracting (5) from this we get;

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Therefore Plato has 13 nickels, 15 quarters and 8 dimes.

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Part 2:

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Original price was marked down by 35% means value was lowered by 35%.

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=> $65x=1560$

x = 24

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