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2 years ago

Find the value of x.

Mathematics

1 answer:

notsponge [240]2 years ago

6 0

.....

Step-by-step explanation:

hope you like answer

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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

Which polynomial represents the difference below?

AleksAgata [21]

Answer:

-x²-8x+6

Step-by-step explanation:

Given the polynomial expression

2x²+7x+ 6 and 3x² – X

Taking their difference

2x²+7x+ 6 - (3x² – X)

2x²-3x²+7x+x+6

-x²-8x+6

Hence the required difference is -x²-8x+6

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3 years ago

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With a picture eqation

butalik [34]

I don’t mean to take point but i do not see a picture :(

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3 years ago

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Triangle PQR is formed by the three squares A, B, and C:

Levart [38]

The first choice if ()2 means to the power of two if not then it is none of them.

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3 years ago

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Point A lies on the circle and has an x-coordinate of –3. Which value could be the y-coordinate for point A? 2.5 2.8

vodka [1.7K]

Answer:

the other point could be 2.8

Step-by-step explanation:

in circle values of both x and are almost equal in magnitude

since 2.8 is closest to 3 i magnitude

hence 2.8 will be correct option

this point will lie in third coordinate

as third coordinate has points

(-x,y)

and coordinates of points lie on the circle are

(-3,2.8)

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3 years ago

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