Answer:
a) 0.19
b) 0.9689
c) ≈ 6 cars
Step-by-step explanation:
Rate at which cars arrive = 12 cars/hour = 1/5 cars/minute
time needed by each car to complete ATM transaction = 6 minutes = 1/6 car/minute
capacity of lane = 10 car
n = 10
<u>a) Calculate the probability of an arriving not using the ATM because the line is full</u>
p ( not using the ATM ) = 0.19
<u>b) probability that a car will not be able to use the ATM machine immediately on arrival</u>
P ( n > 0 ) = 1 - Po
= 1 - 0.0311 = 0.9689
<u>c) Average number of cars in the lane </u>
Lq = 5.74 ≈ 6 cars
attached below is the detailed solution
Because it wouldn't matter which direction you go in first. For example would it matter if you took two steps left then three forward or if you took three forward and then two left. It wouldn't because you would end up in the exact same place.
|x| is greater then 5 on |X|>5 and the other x is lees then 5 on |X|<5
Answer:
The digit that should be placed in the blank is 0.
Step-by-step explanation:
We are given the four-digit number: 138_
And we want to determine the digit that should be placed in the blank to make the number be divisible by both 4 and 5.
A number that is divisible by 5 must end in either 0 or 5. This leaves us with only two options: 1380 or 1385.
Recalling divisibility rules, for a number to be divisible by 4, its last two digits must be divisible by 4.
80 is indeed divisible by 4, while 85 is not.
In conclusion, the digit that should be placed in the blank is 0, with the number being 1380.
