Answer:
See attachment for circle
Step-by-step explanation:
Given
![(x -5)^2 + (y + 10)^2 = 6^2](https://tex.z-dn.net/?f=%28x%20-5%29%5E2%20%2B%20%28y%20%2B%2010%29%5E2%20%3D%206%5E2)
Required
Draw and label the circle
The equation of a circle is:
![(x -a)^2 + (y - b)^2 = r^2](https://tex.z-dn.net/?f=%28x%20-a%29%5E2%20%2B%20%28y%20-%20b%29%5E2%20%3D%20r%5E2)
Where:
![Center = (a,b)](https://tex.z-dn.net/?f=Center%20%3D%20%28a%2Cb%29)
![Radius = r](https://tex.z-dn.net/?f=Radius%20%3D%20r)
So, we have:
![Center = (5,-10)](https://tex.z-dn.net/?f=Center%20%3D%20%285%2C-10%29)
![Radius = 6](https://tex.z-dn.net/?f=Radius%20%3D%206)
<em>See attachment for circle</em>
Answer:
a) 0.06 = 6% probability that a person has both type O blood and the Rh- factor.
b) 0.94 = 94% probability that a person does NOT have both type O blood and the Rh- factor.
Step-by-step explanation:
I am going to solve this question treating these events as Venn probabilities.
I am going to say that:
Event A: Person has type A blood.
Event B: Person has Rh- factor.
43% of people have type O blood
This means that ![P(A) = 0.43](https://tex.z-dn.net/?f=P%28A%29%20%3D%200.43)
15% of people have Rh- factor
This means that ![P(B) = 0.15](https://tex.z-dn.net/?f=P%28B%29%20%3D%200.15)
52% of people have type O or Rh- factor.
This means that ![P(A \cup B) = 0.52](https://tex.z-dn.net/?f=P%28A%20%5Ccup%20B%29%20%3D%200.52)
a. Find the probability that a person has both type O blood and the Rh- factor.
This is
![P(A \cap B) = P(A) + P(B) - P(A \cup B)](https://tex.z-dn.net/?f=P%28A%20%5Ccap%20B%29%20%3D%20P%28A%29%20%2B%20P%28B%29%20-%20P%28A%20%5Ccup%20B%29)
With what we have
![P(A \cap B) = 0.43 + 0.15 - 0.52 = 0.06](https://tex.z-dn.net/?f=P%28A%20%5Ccap%20B%29%20%3D%200.43%20%2B%200.15%20-%200.52%20%3D%200.06)
0.06 = 6% probability that a person has both type O blood and the Rh- factor.
b. Find the probability that a person does NOT have both type O blood and the Rh- factor.
1 - 0.06 = 0.94
0.94 = 94% probability that a person does NOT have both type O blood and the Rh- factor.
160 feet away from Valeria -Hope I helped
3x² (6x² - 13x - 5) =
3x² (2x - 5) (2x+1) .
DONT CLICK THE LINK ITS A VIRUS