K (-3,-3)
L (1,-1)
M (-1,-5)
N (-5,-7)
Area of the rectangle is 18•3= 54
Area of the triangle is (10-3)•(18-6)/2= 7•12/2= 42
Area of the whole figure is 54+42=96
7+7+7=21 is the same as saying 7 times 3+
=21
The shape shown here is a triangular pyramid, because it has a triangular base and a pointy tip.
Answer:
The probability that the wait time is greater than 14 minutes is 0.4786.
Step-by-step explanation:
The random variable <em>X</em> is defined as the waiting time to be seated at a restaurant during the evening.
The average waiting time is, <em>β</em> = 19 minutes.
The random variable <em>X</em> follows an Exponential distribution with parameter
.
The probability distribution function of <em>X</em> is:

Compute the value of the event (<em>X</em> > 14) as follows:

Thus, the probability that the wait time is greater than 14 minutes is 0.4786.