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:
The number in the hundredths digit is 8.
Answer:
20 trains
Step-by-step explanation:
180/9 = 20
Answer:
Step-by-step explanation:
In this geometry, there are three "geometric mean" relations that apply. They can be summarized by the rule ...
<em>a segment touching the hypotenuse is equal to the geometric mean of the segments of the hypotenuse it touches</em>.
For x and y, the two segments will be the short one (4 or 6, respectively) and the entire hypotenuse (4+6=10).
Using this rule, we have ...
x = √(4·10) ≈ 6.3
y = √(6·10) ≈ 7.7
z = √(4·6) ≈ 4.9
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The geometric mean of two numbers is the square root of their product.
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<em>Additional comment</em>
These relations come about because all of the right triangles in this figure are similar. That means corresponding sides are proportional.
x/10 = 4/x ⇒ x² = 40
y/10 = 6/y ⇒ y² = 60
z/6 = 4/z ⇒ z² = 24
