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frez [133]
3 years ago
10

PLEASE I WLL GIVE BRAINLIEST JUST HELPS MEEEEE OMG IM ON MY SECOND ATTEMPT PLS PLS PLS HELP

Mathematics
1 answer:
worty [1.4K]3 years ago
6 0

Answer:

\purple { \bold{ \frac{   (x   - 3)}{3x - 18}  }}

Step-by-step explanation:

\frac{x + 3}{ {x}^{2} + 7x + 12 } . \frac{ {x}^{2}  + x - 12}{3x - 18}  \\  \\  = \frac{x + 3}{ {x}^{2} + 4x + 3x + 12 } . \frac{ {x}^{2}  + 4x - 3x - 12}{3(x - 6)}  \\  \\ = \frac{x + 3}{ {x}(x + 4) + 3(x + 4) } . \frac{ {x}(x + 4) - 3(x  + 4)}{3(x - 6)}  \\  \\ = \frac{ \cancel{(x + 3)}}{ (x + 4)  \cancel{(x + 3)} } . \frac{ (x + 4) (x   - 3)}{3(x - 6)}  \\  \\ = \frac{1}{ \cancel{ (x + 4)}   } . \frac{  \cancel{ (x + 4)} (x   - 3)}{3(x - 6)}  \\  \\    \red{ \bold{= \frac{   (x   - 3)}{3x - 18}  }}\\  \\

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A large operator of timeshare complexes requires anyone interested in making a purchase to first visit the site of interest. His
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Answer:

There is a 21.053% probability that this person made a day visit.

There is a 39.474% probability that this person made a one night visit.

There is a 39.474% probability that this person made a two night visit.

Step-by-step explanation:

We have these following percentages

20% select a day visit

50% select a one-night visit

30% select a two-night visit

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50% of two night visitors make a purchase

The first step to solve this problem is finding the probability that a randomly selected visitor makes a purchase. So:

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Now, as for the questions, we can formulate them as the following problem:

What is the probability of B happening, knowing that A has happened.

It can be calculated by the following formula

P = \frac{P(B).P(A/B)}{P(A)}

Where P(B) is the probability of B happening, P(A/B) is the probability of A happening knowing that B happened and P(A) is the probability of A happening.

Suppose a visitor is randomly selected and is found to have made a purchase.

How likely is it that this person made a day visit?

What is the probability that this person made a day visit, given that she made a purchase?

P(B) is the probability that the person made a day visit. So P(B) = 0.20

P(A/B) is the probability that the person who made a day visit made a purchase. So P(A/B) = 0.4

P(A) is the probability that the person made a purchase. So P(A) = 0.38

So

P = \frac{P(B).P(A/B)}{P(A)} = \frac{0.4*0.2}{0.38} = 0.21053

There is a 21.053% probability that this person made a day visit.

How likely is it that this person made a one-night visit?

What is the probability that this person made a one night visit, given that she made a purchase?

P(B) is the probability that the person made a one night visit. So P(B) = 0.50

P(A/B) is the probability that the person who made a one night visit made a purchase. So P(A/B) = 0.3

P(A) is the probability that the person made a purchase. So P(A) = 0.38

So

P = \frac{P(B).P(A/B)}{P(A)} = \frac{0.5*0.3}{0.38} = 0.39474

There is a 39.474% probability that this person made a one night visit.

How likely is it that this person made a two-night visit?

What is the probability that this person made a two night visit, given that she made a purchase?

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P(A/B) is the probability that the person who made a two night visit made a purchase. So P(A/B) = 0.5

P(A) is the probability that the person made a purchase. So P(A) = 0.38

So

P = \frac{P(B).P(A/B)}{P(A)} = \frac{0.3*0.5}{0.38} = 0.39474

There is a 39.474% probability that this person made a two night visit.

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