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weeeeeb [17]
2 years ago
14

Determine the slope of the line 5x + 3y + 12 = 0 .

Mathematics
1 answer:
vazorg [7]2 years ago
6 0
Put ur equation in y = mx + b form because the slope will be in the m position.

5x + 3y + 12 = 0
3y = -5x - 12
y = -5/3x - 4

y = mx + b
y = -5/3x + (-4)......as u can see, the number in the m position (the slope) is -5/3 <===
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Consider the probabilities of people taking pregnancy tests. Assume that the true probability of pregnancy for all people who ta
Valentin [98]

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
Jamie has 8/10 of a candy bar leftover. He wants to split it into 1/3. How many 1/3 pieces can he make
anyanavicka [17]
He can make 3 pieces. Since he has 8/10 of a candy bar, it is then simplified to 4/5 of a candy bar. You need to find 1/3 of that, that is 4/15. Then how many times does 4/15 fit into 4/5, well simply do this: (4/15)x=4/5. Solving for x should give you 3.
6 0
3 years ago
Read 2 more answers
Twelve cans of peaches are placed into each box. Write a function rule for the number of boxes needed for c cans. How many boxes
Mars2501 [29]

C = # of cans

b = # of boxes                          

C  |  B    

12 |  1

24 | 2

36 | 3


12b = C

12b/12 = 1440/12

b = 120 boxes

for 1440 cans.

6 0
2 years ago
A spring has a natural length of 20 cm. If a 30-N force is required to keep it stretched to a length of 38 cm, how much work W i
sergeinik [125]
Replace your arnswer to 64
5 0
3 years ago
Jan's gas tank is nearly empty, at 1/12 full. she doesn't have enough cash to fill the tank, she adds enough gas to reach 2/3 fu
Ira Lisetskai [31]

Answer:

7/12

Step-by-step explanation:

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8 0
3 years ago
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