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
Answer:
Step-by-step explanation:
x + 9 = -16
Subtract 9 form both sides
x + 9 - 9 = - 16 - 9
x = -25
Answer:
Step-by-step explanation:
The given function can be rewritten as y = ∛(27)*∛(x-3) - 5, or y = 3∛(x-3) - 5.
The basic (parent) function is y = ∛x. Graph this.
Next, perform a vertical stretch on this parent function: every y value will be 3 times its previous value.
Next, translate this graph 3 units to the right.
Last, translate this new graph 5 units downward.
Follow the order of operations!!
1. Parentheses
2. Exponents
3. Multiplication
4. Division
5. Addition
6. Subtraction
that is in order. follow these and you should figure it out yourself :)
Doesn't make sense, it's a 48 degree angle if that helps.