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.
Answer:
Jiri is 12 years old
Step-by-step explanation:
To start off we need to make an equation. Since we know both of their ages add up to 48 and that Pamela's age is 3 times Jiri's age we can say x(Jiri's Age) + 3x(Pamela's age) =48 --> x+3x=48
Now we have the equation x+3x=48, and we need to solve it.
First combine like terms
4x=48
Now divide both sides by 4
x=12
And now since we are using Jiri's age as x we know Jiri is 12 years old.
Y = 104°
z = 24
Angle y° and (5z - 44)° are linear pairs, meaning that the two measures together will add up to 180°.
To solve for z, know that (5z - 44)° and 76° are vertical angles, meaning that both angles are the same.
So simply set them equal to each other to find z:
5z - 44 = 76
5z = 76 + 44
5z = 120
z = 24
Now to solve for y, remember that since (5z - 44)° and 76° are vertical angles, they are the same, meaning you can denote (5z - 44)° as simply 76°. Like I said earlier, y and 76° are a linear pair so simply subtract 76 from 180 to find y:
180 - 76 = 104°
Answer:
perimeter = 30 ft
Step-by-step explanation:
13 + 5 + 12 = perimeter = 30 ft
