Answer:
value of x = 5
Step-by-step explanation:
Given:
∠L = ∠n
So,
ML = MN
So,
3x = x + 10
2x = 10
x = 5
value of x = 5
Answer:
39.17% probability that a woman in her 60s who has a positive test actually has breast cancer
Step-by-step explanation:
Bayes Theorem:
Two events, A and B.

In which P(B|A) is the probability of B happening when A has happened and P(A|B) is the probability of A happening when B has happened.
In this question:
Event A: Positive test.
Event B: Having breast cancer.
3.65% of women in their 60s get breast cancer
This means that 
A mammogram can typically identify correctly 85% of cancer cases
This means that 
Probability of a positive test.
85% of 3.65% and 100-95 = 5% of 100-3.65 = 96.35%. So

What is the probability that a woman in her 60s who has a positive test actually has breast cancer?

39.17% probability that a woman in her 60s who has a positive test actually has breast cancer
Answer:
$18.43
Step-by-step explanation:
19.61 decrease 6% =
19.61 × (1 - 6%) = 19.61 × (1 - 0.06) = 18.4334