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Kruka [31]
3 years ago
10

I need help ASAP if you can help you are amazing.

Mathematics
1 answer:
olchik [2.2K]3 years ago
3 0

Answer (Note: the bold are answers):

First question answer:

Point = (3,1)

Slope = 3

y = 3x + b

(1) = 3(3) + b

1 = 9 + b

1 - 9 = b

-8 = b

y = 3x - 8

The second question answer:

y = mx + b

Get two points:

(3,-7) and (4,-11)

m = -11 - (-7) / 4 - 3

m = -11 + 7 / 1

m = -4 / 1

m = -4

b = + 3

y = -4x + 3

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The perimeter of the triangle is 30 cm.

The perimeter of the rectangle is also 30 cm.

Step-by-step explanation:

The perimeter of the triangle is 30 cm.

The perimeter of the rectangle is also 30 cm.

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Consider the probabilities of people taking pregnancy tests. Assume that the true probability of pregnancy for all people who ta
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Using conditional probability, it is found that there is a 0.8462 = 84.62% probability that a woman who gets a positive test result is truly pregnant.

<h3>What is Conditional Probability?</h3>

Conditional probability is the probability of one event happening, considering a previous event. The formula is:

P(B|A) = \frac{P(A \cap B)}{P(A)}

In which

  • P(B|A) is the probability of event B happening, given that A happened.
  • P(A \cap B) is the probability of both A and B happening.
  • P(A) is the probability of A happening.

In this problem, the events are:

  • Event A: Positive test result.
  • Event B: Pregnant.

The probability of a positive test result is composed by:

  • 99% of 10%(truly pregnant).
  • 2% of 90%(not pregnant).

Hence:

P(A) = 0.99(0.1) + 0.02(0.9) = 0.117

The probability of both a positive test result and pregnancy is:

P(A \cap B) = 0.99(0.1)

Hence, the conditional probability is:

P(B|A) = \frac{0.99(0.1)}{0.117} = 0.8462

0.8462 = 84.62% probability that a woman who gets a positive test result is truly pregnant.

You can learn more about conditional probability at brainly.com/question/14398287

7 0
2 years ago
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