Answer:
a) P(X∩Y) = 0.2
b)
= 0.16
c) P = 0.47
Step-by-step explanation:
Let's call X the event that the motorist must stop at the first signal and Y the event that the motorist must stop at the second signal.
So, P(X) = 0.36, P(Y) = 0.51 and P(X∪Y) = 0.67
Then, the probability P(X∩Y) that the motorist must stop at both signal can be calculated as:
P(X∩Y) = P(X) + P(Y) - P(X∪Y)
P(X∩Y) = 0.36 + 0.51 - 0.67
P(X∩Y) = 0.2
On the other hand, the probability
that he must stop at the first signal but not at the second one can be calculated as:
= P(X) - P(X∩Y)
= 0.36 - 0.2 = 0.16
At the same way, the probability
that he must stop at the second signal but not at the first one can be calculated as:
= P(Y) - P(X∩Y)
= 0.51 - 0.2 = 0.31
So, the probability that he must stop at exactly one signal is:

The midpoint formula for a segment is:

apply to points R and P

using the definition of slope find the slope of the segment

apply to points R and P

to lines are parallel when the slopes are the same

two lines are perpendicular when the product of the slopes is equal to -1
Answer: 8cxs^c= -3 csc (x) +1
Step-by-step explanation:
To solve for c you need to simplify both sides of the equation, then isolating the variable
It would be B because 34.50 divided by 3=11.50 which is more than Amina
Hope this helps
Have a great day/night