Answer:
2![\sqrt{5}](https://tex.z-dn.net/?f=%5Csqrt%7B5%7D)
Step-by-step explanation:
this is a 30-60-90 Δ and the ratio of the sides are 1 :
: 2
1 / 2 =
/ x
cross-multiply: x = 2![\sqrt{5}](https://tex.z-dn.net/?f=%5Csqrt%7B5%7D)
Answer:0n=0
Step-by-step explanation:
-2n+9+2n=9
-9 -9
———————
-2n+2n=0
-2n -2
———————
0n=0
Answer:
eight point nine seven, 8+0.9+0.07
Step-by-step explanation:
A Trapezoid needs to have one pair of sides parallel.
Two of the points already plotted have the same Y value ( 3)
So the 4th dot, should have the same Y value as the first dot, which is 1.
The 4th dot should be plotted at C (5,1)
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.
![P(B|A) = \frac{P(B)*P(A|B)}{P(A)}](https://tex.z-dn.net/?f=P%28B%7CA%29%20%3D%20%5Cfrac%7BP%28B%29%2AP%28A%7CB%29%7D%7BP%28A%29%7D)
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 ![P(B) = 0.0365](https://tex.z-dn.net/?f=P%28B%29%20%3D%200.0365)
A mammogram can typically identify correctly 85% of cancer cases
This means that ![P(A|B) = 0.85](https://tex.z-dn.net/?f=P%28A%7CB%29%20%3D%200.85)
Probability of a positive test.
85% of 3.65% and 100-95 = 5% of 100-3.65 = 96.35%. So
![P(A) = 0.85*0.0365 + 0.05*0.9635 = 0.0792](https://tex.z-dn.net/?f=P%28A%29%20%3D%200.85%2A0.0365%20%2B%200.05%2A0.9635%20%3D%200.0792)
What is the probability that a woman in her 60s who has a positive test actually has breast cancer?
![P(B|A) = \frac{0.0365*0.85}{0.0792} = 0.3917](https://tex.z-dn.net/?f=P%28B%7CA%29%20%3D%20%5Cfrac%7B0.0365%2A0.85%7D%7B0.0792%7D%20%3D%200.3917)
39.17% probability that a woman in her 60s who has a positive test actually has breast cancer