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At LaGuardia Airport for a certain nightly flight, the probability that it will rain is 0.14 and the probability that the flight will be delayed is 0.06. The probability that it will not rain and the flight will leave on time is 0.82. What is the probability that it is raining and the flight is delayed? Round your answer to the nearest thousandth.

AND

In a math class with 26 students, a test was given the same day that an assignment was due. There were 17 students who passed the test and 18 students who completed the assignment. There were 15 students who passed the test and also completed the assignment. What is the probability that a student who failed the test completed the homework?

Respuesta :

Kalani569

Answer:

1 - 3.54 hours / total flight time - 4.54

2 -  15/22

Step-by-step explanation:

First, you need to find the speed of the plane for the rest of the flight.

In the last 2 hours, it flies 830 miles.

In the last 1/2 hour, it flies at 160 mph so it travels 80 miles.

So in the middle of the flight, it travels (830 - 80) = 750 miles in 1 1/2 hours

Speed = 500 mph

Now think about the whole flight. There is 1 hour at 160 mph plus x hours at 500 mph.

Distance = 160 + 500x = 1930

500x = 1770

x  = 3.54 hours

Total flight time = x + 1 = 4.54 hours
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