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KATRIN_1 [288]
2 years ago
15

Alejandra is packing a bag for a flight. The airline has a baggage weight limit, and Alejandra has already packed her bag with s

ome essentials. All she has left is her outfits and shoes, which must weigh less than 30 pounds total. what is written equation for this situation?
Mathematics
2 answers:
Drupady [299]2 years ago
6 0

So its X \leq 30

Step-by-step explain

The x equals the unknown amount or weight of her luggage.

It has can only be 30 at most

This equation shows that

A number has to be less then or equal to 30

ElenaW [278]2 years ago
6 0
The person who had answered it correct
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2.99% probability that the cost will be paid by only one team

Step-by-step explanation:

The binomial probability distribution is used to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

In which C_{n,x} is the number of different combinations of x objects from a set of n elements, given by the following formula.

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And p is the probability of X happening.

Probability that a team plays:

A team plays if it has at most 2 injured players out of 11.

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Each player with a 5% probability of injury, so p = 0.05

Then

P(X \leq 2) = P(X = 0) + P(X = 1) + P(X = 2)

In which

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

P(X = 0) = C_{11,0}.(0.05)^{0}.(0.95)^{11} = 0.5688

P(X = 1) = C_{11,1}.(0.05)^{1}.(0.95)^{10} = 0.3293

P(X = 2) = C_{11,2}.(0.05)^{2}.(0.95)^{9} = 0.0867

P(X \leq 2) = P(X = 0) + P(X = 1) + P(X = 2) = 0.5688 + 0.3293 + 0.0867 = 0.9848

Each team has a 0.9848 probability of showing up to play.

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This happens if one team shows up and the other do not.

2 teams, so n = 2

Each team has a 0.9848 probability of showing up to play, so p = 0.9848.

This probability is P(X = 1).

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

P(X = 1) = C_{2,1}.(0.9848)^{1}.(0.0152)^{1} = 0.0299

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