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ivann1987 [24]
4 years ago
6

Consider the baggage check-in process of a small airline. Check-in data indicate that from 9 a.m. to 10 a.m., 220 passengers che

cked in. Moreover, based on counting the number of passengers waiting in line, airport management found that the average number of passengers waiting for check-in was 27.?How long did the average passenger have to wait in line?
Mathematics
1 answer:
lakkis [162]4 years ago
6 0

Answer:

The passengers have an average of 8.15 minutes to wait in line

Step-by-step explanation:

Using Little's law

Average Inventory = Average Flow Time * Average Flow Rate

Average Inventory = 220 passengers

Average Flow Rate = 27

Average Flow time =?

So,

220 = Average Flow Time * 27

Average Flow Time = 220/27

Average Flow Time = 8.14814814814

Average Flow Time = 8.15 --------- Approximated

So the average wait time for a passenger is 8.15 minutes

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If necessary, write in simplest radical form
nadezda [96]

Answer:

2*sqrt(5)

Step-by-step explanation:

By using Pythagoras theorem, we have

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16+4=(the third side)^2

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7 0
3 years ago
Write an equation that passes through the point (1, 3) and is perpendicular to x – 2y = -8.
Umnica [9.8K]

Answer:

y = -2x + 5

Step-by-step explanation:

Given:

Passes through point (1, 3)

Perpendicular to x – 2y = -8

Solve:

x – 2y = -8

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The slope of the inverse equation is m = -2.

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Use point, (1, 3) where (x, y):

3 = (-2)*(1) + a

a = 5

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4 0
3 years ago
Read 2 more answers
5x(x+1)-(x+1)<br>factor out the gcf​
jek_recluse [69]

Answer:

5x(x+1)−(x+1)5x(x+1)-(x+1)

Since 5x2,4x,−15x2,4x,-1 contain both numbers and variables, there are two steps to find the GCF (HCF). Find GCF for the numeric part then find GCF for the variable part.

Steps to find the GCF for 5x2,4x,−15x2,4x,-1:

1. Find the GCF for the numerical part 5,4,−15,4,-1

2. Find the GCF for the variable part x2,x1x2,x1

3. Multiply the values together

Find the common factors for the numerical part:

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The factors for 55 are 1,51,5.

Tap for fewer steps...

The factors for 55 are all numbers between 11 and 55, which divide 55 evenly.

Check numbers between 11 and 55

Find the factor pairs of 55 where x⋅y=5x⋅y=5.

xy15xy15

List the factors for 55.

1,51,5

The factors for 44 are 1,2,41,2,4.

Tap for fewer steps...

The factors for 44 are all numbers between 11 and 44, which divide 44 evenly.

Check numbers between 11 and 44

Find the factor pairs of 44 where x⋅y=4x⋅y=4.

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3 0
3 years ago
Michiko is selling raffle tickets to raise money for the school band. The odds against winning a prize in the raffle are 13:1. W
Novay_Z [31]

The probability of winning a prize is 0.929 if Michiko is selling raffle tickets to raise money for the school band. The odds against winning a prize in the raffle are 13:1 option first is correct.

<h3>What is probability?</h3>

It is defined as the ratio of the number of favorable outcomes to the total number of outcomes, in other words, the probability is the number that shows the happening of the event.

We have:

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8 0
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AlexFokin [52]
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