Answer:
The answer to your question is below
Step-by-step explanation:
3.-
P(A) = 0.3
P(A and B) = 0.24
P(B) = ?
P(B) = P(A) - P(A and B)
P(B) = 0.3 - 0.24
P(B) = 0.06
4.- From the graph we know that
C (1, 1)
radius = 4
Equation of a circle
(x - h)² + (y - k)² = r²
Substitution
(x - 1)² + (y - 1)² = 4²
Simplification
(x - 1)² + (y - 1)² = 16
5.-
Points
A (-1 , -3.5) C (5, -1) B (0.2, -3)
dAB = [tex]\sqrt{(0.2 +1)^{2}+ (-3 + 3.5)^{2}}[/tex]
dAB = [tex]\sqrt{(1.2)^{2} + (0.5)^{2}}[/tex]
dAB = [tex]\sqrt{1.44 + 0.25}[/tex]
dAB = [tex]\sqrt{1.69}[/tex]
dAB = 1.3
dBC = [tex]\sqrt{(0.2 - 5)^{2} + (-3 + 1)^{2}}[/tex]
dBC = [tex]\sqrt{(-4.8)^{2}+ (-2)^{2}}[/tex]
dBC = [tex]\sqrt{23.04 + 4}[/tex]
dBC = [tex]\sqrt{27.04}[/tex]
dBC = 5.2
Ratio [tex]\frac{AB}{BC} = \frac{1.3}{5.2}[/tex]
[tex]\frac{AB}{BC} = 4[/tex]
