Answer: 0.8167
Step-by-step explanation:
Let E denotes the event that the first airline's flight is fully booked on a particular day, and F denotes the event that the second airline's flight is fully booked on that same day.
Given : P(E) = 0.7, P(F) = 0.6, and P(E ∩ F) = 0.49.
Then, by conditional probability formula , we have
Hence, the probability that the first airline's flight is fully booked given that the second airline's flight is fully booked.= 0.8167
The equations that can be used to the value of x are 1) x+90+(x-10)=180 and 2) x+90+(2x+40)=180.
<u>Step-by-step explanation:</u>
Two properties can be used to find the value of the x.
1) Sum of Interior angles of a triangle is 180°.
⇒x+90°+(x-10)°=180.
2x+80°=180°.
2x=180°-80°.
2x=100°.
x=50°.
⇒(x-10)°=40°.
2) The Angle of the straight line is 180°.
From the given diagram, BC is a straight line ray with C as intersecting point. this will result in two angles. (refer the diagram).
The sum of those two angles will be 180°.
⇒ (x-10)°+ (2x+40)°=180°.
(3x+30)°=180°.
3x=150°.
x=50°.
∴(x-10)°=40° and (2x+40)° = 140°.
∴The equations that can be used to the value of x are x+90+(x-10)=180 and x+90+(2x+40)=180.
