So you want to know how much was paid in total?
First, how much is 18% of 43?
43*0.18 =8.64
so the total prize will be the sum of the gratuty and the dinner prize: 43+8.64=51.64
and this is the solution!
Answer:
1 hour 42 minutes
Step-by-step explanation:
Given: Speed of 1st trucker= 62 mph
Speed of 2nd trucker= 66 mph
Total distance need to cover to be in contact is 270 miles
1st trucker start 1 hour ahead of 2nd trucker
Lets assume 2nd trucker take `x` hours to be in contact and 1st trucker take `(x+1)` hours.
We know, distance=
1st trucker, distance
∴
2nd trucker, distance
∴
Now, putting the values in an equation.
⇒
Opening the parenthesis to solve and subtracting both side by 62
⇒
∴ x= = 1 hour 42 minutes
∴ It will take 1 hour 42 minutes to be able contact each other after first trucker leaves.
She would run 4.8 miles since she can run at a rate of 6/55
Answer:
the average number of car(s) in the system is 1
Step-by-step explanation:
Given the data in the question;
Arrival rate; λ = 2.5 cars per hour
Service time; μ = 5 cars per hour
Since Arrivals follows Poisson probability distribution and service times follows exponential probability distribution.
Lq = λ² / [ μ( μ - λ ) ]
we substitute
Lq = (2.5)² / [ 5( 5 - 2.5 ) ]
Lq = 6.25 / [ 5 × 2.5 ]
Lq = 6.25 / 12.5
Lq = 0.5
Now, to get the average number of cars in the system, we say;
L = Lq + ( λ / μ )
we substitute
L = 0.5 + ( 2.5 / 5 )
L = 0.5 + 0.5
L = 1
Therefore, the average number of car(s) in the system is 1
1,600 800+800=1,600 this is your answer