I need to solve X-9=-12
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The equation of the circle with center at (2,-4) and tangent to the line x = -2 is given by:
(2) (x - 2)² + (y + 4)² = 16
<h3>What is the equation of a circle?</h3>The equation of a circle of center and radius r is given by:
The circle has center at (2,-4), hence .
The center is tangent to the line x = -2, hence it has a point at x = -2, since |-2 - 2| = 4, r = 4 -> r² = 16.
Hence the equation of the circle is given by:
(2) (x - 2)² + (y + 4)² = 16
More can be learned about the equation of a circle at brainly.com/question/24307696
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Answer:
a) 9.93% probability that exactly ten requests are received during a particular 2-hour period
b) 13.53% probability that they do not miss any calls for assistance
c) 2
Step-by-step explanation:
In a Poisson distribution, the probability that X represents the number of successes of a random variable is given by the following formula:
In which
x is the number of sucesses
e = 2.71828 is the Euler number
is the mean in the given time interval.
Poisson process with rate θ = 4 per hour.
This means that , in which n is the number of hours.
a. Compute the probability that exactly ten requests are received during a particular 2-hour period.
n = 2, so
This is P(X = 10). So
9.93% probability that exactly ten requests are received during a particular 2-hour period
b. If the operators of the towing service take a 30-min break for lunch, what is the probability that they do not miss any calls for assistance?
n = 0.5, so
This is P(X = 0). So
13.53% probability that they do not miss any calls for assistance
c. How many calls would you expect during their break?
n = 0.5, so