Answer:
- Center = (3, 0)
- Radius = 3
- Graph = see below
Concept:
Here, we need to know the idea of the circle equation.
Circle equation: (x - h)² + (y - k)² = r²
(h, k) = center
r = radius
x = variable
y = variable
Solve:
<u>Given expression </u>
(x - 3)² + y² = 9
<u>Find the point of the center</u>
(h, k) = 
<u>Find the length of the radius</u>
r² = 9
Hope this helps!! :)
Please let me know if you have any questions
24/6=4
(6x4)+(2x4)+(3x4)=
24+8+12=44=answer!
a. By definition of conditional probability,
P(C | D) = P(C and D) / P(D) ==> P(C and D) = 0.3
b. C and D are mutually exclusive if P(C and D) = 0, but this is clearly not the case, so no.
c. C and D are independent if P(C and D) = P(C) P(D). But P(C) P(D) = 0.2 ≠ 0.3, so no.
d. Using the inclusion/exclusion principle, we have
P(C or D) = P(C) + P(D) - P(C and D) ==> P(C or D) = 0.6
e. Using the definition of conditional probability again, we have
P(D | C) = P(C and D) / P(C) ==> P(D | C) = 0.75
Answer:
Distance between Archimedes and the rock = 7.51 m ≅
Step-by-step explanation:
The sunlight makes an angle of depression of 43 degrees
Hence angle between the rock and the sunlight rays is = 90-43=47 degrees
Distance between Archimedes and the rock = Tan 47 = X/7
X = 7 tan 47 = 7.506580970172 = 7.51m ≅
