Simone would have to bike for at least 34 miles to reach $510
We have:
Event A ⇒ P(A) = 0.16
Event B ⇒ P(B) = 0.09
Probability of event B given event A happening, P(B|A) = P(A∩B) / P(A) = 0.12
By the conditional probability, the probability of event A and event B happens together is given by:
P(B|A) = P(A∩B) ÷ P(A)
P(B|A) = P(A∩B) ÷ 0.16
0.12 = P(A∩B) ÷ 0.16
P(A∩B) = 0.12 × 0.16
P(A∩B) = 0.0192
When two events are independent, P(A) × P(B) = P(A∩B) so if P(A∩B) = 0.0192, then P(B) will be 0.0192 ÷ 0.16 = 0.12 (which take us back to P(B|A))
Since P(B|A) does not equal to P(B), event A and event B are not independent.
Answer: <span>Events A and B are not independent because P(B|A) ≠ P(B)</span>
Since you know the given angle is 46deg. You also know that a straight line is equal to 180deg. So it's a supplementary angle, therefore you subtract 46 from 180 and get 134. And since the l, m, and n are parallel, they have congruent angles. So x = 134deg.
<span>√109</span>≈<span>10.44030650 <--- Answer
</span>Distance=<span>√<span><span><span>(<span>x2</span>−<span>x1</span>)</span>2</span>+<span><span>(<span>y2</span>−<span>y1</span>)</span><span>2
</span></span></span></span>√<span><span><span>(<span>(−1)</span>−<span>(2)</span>)</span>2</span>+<span><span>(<span>(−5)</span>−<span>(5)</span>)</span><span>2
That check sign is the square root, since they wouldnt let me put it in...</span></span></span>
