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
Option A. 5/8 is the correct answer.
Step-by-step explanation:
Square root by factorization will be used to solve this question.
Given

The square root can be applied to numerator and denominator separately

Factorization

Hence,
Option A. 5/8 is the correct answer.
Keywords: Square roots, factorization
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One way to solve this is to look at the size of the poster, and then subtract the size of the picture so you have the area that needs to be painted left.
Area of square poster - 3x × 3x = 9x^2
Area of painting - 2x × 2x = 4x^2
9x^2 - 4x^2 = 5x^2
The area is 5x^2
Answer:
5. 40
7. 12
8. 52
Step-by-step explanation:
Answer:
To round 5.82 to the nearest tenth consider the hundredths' value of 5.82, which is 2 and less than 5. Therefore, the tenths value of 5.82 remains 8.
Step-by-step explanation:
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