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3 years ago

ANSWER ASAP NO FILES OR LINKS (LAST ONE) (maybe)

Mathematics

1 answer:

Alex787 [66]3 years ago

4 0

Answer: the anserw shokd be no fles

Step-by-step explanation:

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An Airliner has a capacity for 300 passengers. If the company overbook a flight with 320 passengers, What is the probability tha

TEA [102]

Answer:

The probability is $P(X >300 ) = 0.97219$

Step-by-step explanation:

From the question we are told that

The capacity of an Airliner is k = 300 passengers

The sample size n = 320 passengers

The probability the a randomly selected passenger shows up on to the airport

$p = 0.96$

Generally the mean is mathematically represented as

$\mu = n* p$

=> $\mu = 320 * 0.96$

=> $\mu = 307.2$

Generally the standard deviation is

$\sigma = \sqrt{n * p * (1 -p ) }$

=> $\sigma = \sqrt{320 * 0.96 * (1 -0.96 ) }$

=> $\sigma =3.50$

Applying Normal approximation of binomial distribution

Generally the probability that there will not be enough seats to accommodate all passengers is mathematically represented as

$P(X > k ) = P( \frac{ X -\mu }{\sigma } > \frac{k - \mu}{\sigma } )$

Here $\frac{ X -\mu }{\sigma } =Z (The \ standardized \ value \ of \ X )$

=> $P(X >300 ) = P(Z > \frac{300 - 307.2}{3.50} )$

Now applying continuity correction we have

$P(X >300 ) = P(Z > \frac{[300+0.5] - 307.2}{3.50} )$

=> $P(X >300 ) = P(Z > \frac{[300.5] - 307.2}{3.50} )$

=> $P(X >300 ) = P(Z > -1.914 )$

From the z-table

$P(Z > -1.914 ) = 0.97219$

$P(X >300 ) = 0.97219$

8 0

3 years ago

How many ways can 4 people sit in a table of 6 seats? A.120 B.24 C.360 D.15

Mice21 [21]

I believe the is c 360

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How do you mark people as brainliest

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It should give you the option to do so.

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A car is 180 inches long. A truck is 75% longer than the car. How long is the truck?

LUCKY_DIMON [66]

Answer:

Step-by-step explanation:

The truck is 315 inches long

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3 years ago

11. An astronaut travels 32 million miles to Mars, turns around and comes back the same way, ending up exactly where he started

Andrews [41]

Answer:

Step-by-step explanation:

Since displacement is the distance between the journey starting point and the final point if they both are the same the difference becomes zero and hence the displacement.

Displacement = final point - initial point

(both are same)

= same - same

= 0

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2 years ago