Answer:
Step-by-step explanation:
Definitions and concepts
The Poisson process is useful when we want to analyze the probability of ocurrence of an event in a time specified. The probability distribution for a random variable X following the Poisson distribution is given by:
And the parameter 
represent the average ocurrence rate per unit of time
For this case we know that 
And we want the probability that during the next five minutes, three cars will arrive, so then our rate becomes:
And we want this probability:
And if we use the pmf we got:
Answer:
$60.48
Step-by-step explanation:
hope this helps!!
He should use the Pythagorean Theorem to find the missing length.
Since KT is tangent to the circle and TL reaches the center of circle L, the measure of angle LTK is 90 degrees. This means that triangle LTK is a right triangle which means the Pythagorean Theorem can be used.
So,
TL²+(12)²=(13)²
=> TL²+144=169
=> TL²=25
=> TL = 5
Therefore, the radius of circle L is 5 feet.
Solution: Since, it’s a standard cone opening up on the positive x- axis
Therefore, x=√y2+z2
To determine whether or not (8, 4.5) is a solution to y=3/4x-1/2, substitute 8 for x and 4.5 for y:
4.5 = (3/4)(8) - (1/2)
4.5 = 6 - 0.5
4.5 = 5.5
No, (8, 4.5) is not a solution of the given function.
