Find the areas of the parallelogram
1 answer:
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we know that
the standard form of the equation of the circle is
where
(h,k) is the center of the circle
r is the radius of the circle
In this problem we have
<u>Convert to standard form</u>
Group terms that contain the same variable, and move the constant to the opposite side of the equation
Complete the square twice. Remember to balance the equation by adding the same constants to each side.
Rewrite as perfect squares
the center of the circle is
the radius of the circle is
therefore
<u>the answer is</u>
the radius of the circle is
Answer:
There is 15% probability that a customer chosen at random holds a VISA card, given that the customer has an American Express card.
Step-by-step explanation:
Number of customers having a Visa card = 1,500
Number of customers having an American Express card = 500
Number of customers having Visa and American Express card = 75
Total number of customers = 1,500 + 500 = 2,000
We are asked to find the probability that a customer chosen at random holds a VISA card, given that the customer has an American Express card.
This problem is related to conditional probability which is given by
For the given problem it becomes
The probability P(VISA and AE) is given by
P(VISA and AE) = 75/2000
P(VISA and AE) = 0.0375
The probability P(AE) is given by
P(AE) = 500/2000
P(AE) = 0.25
Finally,
Therefore, there is 15% probability that a customer chosen at random holds a VISA card, given that the customer has an American Express card.