Answer:
The probability that a customer pays late each month is P(B) = 0.27
Step-by-step explanation:
Let P( A ) be the probability that the customer pays on time and the value is 0.55
Let P( B ) be the probability that a customer pays late each month
So
The probability that a customer pays late or on-time each month is P(A u B) and the value is 0.82
The probability that a customer pays on-time and late each month is P(A n B) and the value is zero ( 0 ) given that it is impossible
Now The probability that a customer pays late or on-time each month is mathematically represented as
P(A u B) = P(A) + P(B) - P(A n B)
=> 0.82 = 0.55 + P( B ) - 0
=> P(B) = 0.27
The answer is 1 lap/3.5 minutes
I hope this isn't too late! You can find the answer to this by first finding the area of the circle, A=πr². So since the radius is 10, we input that into the equation to get π100. Now, there is 360° in a circle and a sector of 90° is 1/4 of it. So to answer the question all you have to do is find 1/4 of the area of the circle.
The answer is π25.
To solve the other questions on your assignment just think about how much the sector is of the full 360° of the circle, for example 180° is 1/2 of the circle or 270° is 3/4 of the circle, and multiply the fraction by the area of the circle.
Hope this helped, good luck! :)