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soldier1979 [14.2K]
3 years ago
6

10 points, need these answers filled in!

Mathematics
1 answer:
Ksju [112]3 years ago
4 0

Answer:


Step-by-step explanation:

a) If events A and B are independent we have

P(A/B) =P(A)

But here P(A/B) = 0.8 and P(A)=0.2

Hence A and B are not independent.

b) If events A and B are independent we have

P(A/B) =P(A)

But here P(A/B) = 0.6 and P(A)=0.3

Hence A and B are not independent.

c) If events A and B are independent we have


P(A/B) =P(A)

Jere P(A/B) = 0.5 and P(A)=0.5

Hence A and B are  independent.

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BaLLatris [955]

You must drive more than 40 miles to make option A the cheaper plan

<em><u>Solution:</u></em>

Two payment options to rent a car

Let "x" be the number of miles driven in one day

<em><u>You can pay $20 a day plus 25¢ a mile (Option A)</u></em>

25 cents is equal to 0.25 dollars

OPTION A :  20 + 0.25x

<em><u>You pay $10 a day plus 50¢ a mile (Option B)</u></em>

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For option A to be cheaper, Option A must be less than option B

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20 + 0.25x < 10 + 0.50x

Solve the inequality

Add -0.50x on both sides

20 +0.25x -0.50x < 10 + 0.50x - 0.50x\\\\20 - 0.25x < 10

Add - 20 on both sides,

20 - 0.25x - 20 < 10 - 20\\\\-0.25x < -10

\mathrm{Multiply\:both\:sides\:by\:-1\:\left(reverse\:the\:inequality\right)}

0.25x > 10

Divide both sides by 0.25

x > 40

Thus you must drive more than 40 miles to make option A the cheaper plan

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