Answer:
Step-by-step explanation:
Using Bayes' theorem, we have:
is a conditional probability: the likelihood of event A occurring, given that B is true.
is also a conditional probability: the likelihood of event B occurring, given that A is true.
P(A) and P(B) are the marginal probabilities of observing A and B, independently of each other.
We solve thus:
=
=
=
=
= or %
Therefore, if an individual tests positive, it is more likely than not (1 - 33.2% = 66.8%) that they do not use the drug.
Proving the converse of the Pythagorean Theorem means proving that if the <u>sum</u> of the squares of the lengths of the <u>shorter</u> sides of a triangle equals the square of the length of the <u>longest</u> side, then the triangle is a right angle triangle.
Here's the equation:
(short side)² + (short side)² = (long side)²
Answer:
x= -0.5
Step-by-step explanation:
Answer:
x = 25
Step-by-step explanation:
We know that A and M are on a line, which is 180 degrees, and the little square means 90 degrees. So, ∠RAM = 180 - 90 = 90 degrees.
∠RAM = ∠RAX + ∠XAM
90 = (2x - 10) + (-3x + 125)
Now, simply combine like terms and solve for x:
90 = 2x - 3x - 10 + 125
90 = -x + 115
x = 115 - 90 = 25
Thus, x = 25.
<em>~ an aesthetics lover</em>