Answer:
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Step-by-step explanation:
Answer:
Step-by-step explanation:
let the length of rectangle=l units
width=9
p=2(l+9)
area=9l
9l=2(l+9)
9l=2l+18
7l=18
l=18/7 units
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:

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, the events are:
- Event A: Positive test result.
The probability of a positive test result is composed by:
- 99% of 10%(truly pregnant).
Hence:

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

Hence, the conditional probability is:

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
To solve for the solution of this system of linear equation, it is best to use substitution. From the first equation, x = 3y
Substituting the expression on the right for the value of x on the second equation,
-2(3y) + 3y = 16
Solving for the value of y gives y = -5 1/3
With this value of y, solving for x gives x = -16
Thus, the solution for this system of linear equation is (-16, -5 1/3)