What would be the midpoint of a line segment with endpoints at  (0,1)
  and 
(5,7) ?

(2.5, 4 )

Step-by-step explanation:

Using the midpoint formula

Given endpoints (x₁, y₁ ) and (x₂, y₂ ), then midpoint is

[0.5(x₁ + x₂ ), 0.5(y₁ + y₂ ) ]

Given

(0, 1) and (5, 7), then

midpoint = [ 0.5(0 + 5), 0.5(1 + 7) ] = (0.5(5), 0.5(8)) = (2.5, 4)

0.109 = 10.9% probability that it is raining if the flight leaves on time.

Step-by-step explanation:

Conditional Probability

We use the conditional probability formula to solve this question. It is

In which

P(B|A) is the probability of event B happening, given that A happened.

is the probability of both A and B happening.

P(A) is the probability of A happening.

Conditional probability:

Event A: Leaves on time

Event B: Raining

Probability that the flight will be delayed is 0.08.

So 1 - 0.08 = 0.92 probability that it leaves on time, that is,

The probability that it will not rain and the flight will leave on time is 0.82.

0.92 - 0.82 = 0.1 probability it is raining and the flight leaves on time, so:

What is the probability that it is raining if the flight leaves on time?

0.109 = 10.9% probability that it is raining if the flight leaves on time.