Answer:
You can prove that these triangles are congruent by SSS axiom.
Step-by-step explanation:
- The co-ordinates of points of triangle ABC are: A(-3,4), B(-4,1), C(0,3).
- Measure the length of every side of triangle ABC and DEF by using distance formula i.e. AB, BC, AC, DF, DE and EF.
- The co-ordinates of points of triangle DEF are: D(0,2), E(3,1), F(2,-2).
- By calculating the distance you can see that, BC=DF, AB=DE=AC=EF.
- Hence all three sides are equal that means the triangles are congruent by the SSS (side-side-side) axiom.
Using conditional probability, it is found that there is a 0.4235 = 42.35% probability that the patient really is HIV positive.
Conditional Probability
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
In this problem:
- Event A: positive test.
- Event B: HIV positive.
The percentages involving a positive test are:
- 95% of 3%(positive)
- 4% of 100 - 3 = 97%(not positive).
Hence:
The probability of both having a positive test and being HIV positive is:
Then, the conditional probability is:
0.4235 = 42.35% probability that the patient really is HIV positive.
A similar problem is given at brainly.com/question/14398287