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2 years ago

five people arrived at the check _ out counter of a hotel at the same time, in how many different ways can the people line up?

Mathematics

1 answer:

Fantom [35]2 years ago

6 0

There are 120 different ways the people can line up

<h3>How to determine the number of ways?</h3>

The number of people that arrived is:

n = 5

Take the factorial to calculate the number of ways they can line up

n! = 5!

Expand

n! = 5* 4 * 3 * 2 * 1

Evaluate

n! = 120

Hence, there are 120 different ways the people can line up

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An apartment complex rents an average of 2.3 new units per week. If the number of apartment rented each week Poisson distributed

masya89 [10]

Answer:

$P(X\leq 1) = 0.331$

Step-by-step explanation:

Given

Poisson Distribution;

Average rent in a week = 2.3

Required

Determine the probability of renting no more than 1 apartment

A Poisson distribution is given as;

$P(X = x) = \frac{y^xe^{-y}}{x!}$

Where y represents λ (average)

y = 2.3

<em>Probability of renting no more than 1 apartment = Probability of renting no apartment + Probability of renting 1 apartment</em>

<em />

Using probability notations;

$P(X\leq 1) = P(X=0) + P(X =1)$

Solving for P(X = 0) [substitute 0 for x and 2.3 for y]

$P(X = 0) = \frac{2.3^0 * e^{-2.3}}{0!}$

$P(X = 0) = \frac{1 * e^{-2.3}}{1}$

$P(X = 0) = e^{-2.3}$

$P(X = 0) = 0.10025884372$

Solving for P(X = 1) [substitute 1 for x and 2.3 for y]

$P(X = 1) = \frac{2.3^1 * e^{-2.3}}{1!}$

$P(X = 1) = \frac{2.3 * e^{-2.3}}{1}$

$P(X = 1) =2.3 * e^{-2.3}$

$P(X = 1) = 2.3 * 0.10025884372$

$P(X = 1) = 0.23059534055$

$P(X\leq 1) = P(X=0) + P(X =1)$

$P(X\leq 1) = 0.10025884372 + 0.23059534055$

$P(X\leq 1) = 0.33085418427$

$P(X\leq 1) = 0.331$

Hence, the required probability is 0.331

6 0

3 years ago

HELP WILL GIVE BRAINLIEST

Alex

100/100 that’s easy bro come on i gotchu

7 0

3 years ago

find two consecutive even numbers such that the sum of 3 times the smaller and 5 times the larger is 106

VARVARA [1.3K]

To find that you would do (such that x is the unknown) 3x+5(x+2)=106
and if you do this you will find that x=12

so the two numbers you are looking for are 12 and 14

4 0

3 years ago

Please help don't answer just for points please'<br><br><br><br><br>Zoom in to see clearer :)

Alex

I think it might be C but please wait for someone else to comment to confirm my answer :) have a beautiful day you are loved

8 0

3 years ago

Read 2 more answers

What is the value of 7 + (-3) - 3 - 7 pls help thanks!!!

Citrus2011 [14]

Answer:

-6

Step-by-step explanation:

6 0

3 years ago

five people arrived at the check _ out counter of a hotel at the same time, in how many different ways can the people line up?​

five people arrived at the check _ out counter of a hotel at the same time, in how many different ways can the people line up?