Okay, for this one is will use substitution:
y=x+4
y-x=4
2y-2x=8
-2x+2y=8
+
2x+y=13
=
3y=21
y=7
x=3 is your final answer. Hope it help!
Using conditional probability, it is found that the probability a person who tests positive actually has the disease is 0.087 = 8.7%.
<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)}](https://tex.z-dn.net/?f=P%28B%7CA%29%20%3D%20%5Cfrac%7BP%28A%20%5Ccap%20B%29%7D%7BP%28A%29%7D)
In which:
- P(B|A) is the probability of event B happening, given that A happened.
is the probability of both A and B happening.
- P(A) is the probability of A happening.
For this problem, the events are given as follows:
- Event B: Person has the disease.
The percentages associated with a positive test is:
- 95% of 0.5%(person has the disease).
- 5% of 99.5%(person does not have the disease).
Hence:
P(A) = 0.95 x 0.005 + 0.05 x 0.995 = 0.0545.
The probability of both a positive test and having the disease is:
![P(A \cap B) = 0.95 \times 0.005 = 0.00475](https://tex.z-dn.net/?f=P%28A%20%5Ccap%20B%29%20%3D%200.95%20%5Ctimes%200.005%20%3D%200.00475)
Hence the conditional probability is:
P(B|A) = 0.00475/0.0545 = 0.087.
The probability a person who tests positive actually has the disease is 0.087 = 8.7%.
More can be learned about conditional probability at brainly.com/question/14398287
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Answer:
-7,-5,0 and 4 is from the least to the greatest.
Answer:
Step-by-step explanation:
<u>Given:</u>
- Weight on Earth = 70 pounds
- Weight on Mars = 28 pounds
<u>As per given the proportion is:</u>
<u>A rock that weights 250 pounds on Mars would weigh on Earth:</u>
- 250/x = 2/5
- x = 250*5/2
- x = 625 pounds
Answer:
By changing 0.65 miles into fraction we got 65/100 and it's simplest form is 13/20 .