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4 years ago

What is the next prime number after 7?

Mathematics

2 answers:

Pani-rosa [81]4 years ago

6 0

The answer to your question is 11

scoundrel [369]4 years ago

4 0

11

I hope this helps and have a wonderful day filled with joy!!

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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

C = x + a / b solve for the x

Juli2301 [7.4K]

Answer:

x= C-a/b

Step-by-step explanation: Ik alllLlLLlllLlLL

(my other account is actingqueen2468 but i forgot my password)

4 0

3 years ago

Given the parent function of f(x) = x3, what change will occur when the function is changed to f(x) − 3?

DedPeter [7]

For this case we have that the main function is given by:

$f (x) = x ^ 3$

We apply the following transformation:

Vertical displacements:

Assume k> 0

To graph y = f (x) - k, move the graph k units down.

For k = 3 we have:

$y = f (x) - 3\\y = x ^ 3 - 3$

Answer:

when the function is changed to f (x) - 3 the change that will occur is:

Vertical displacement 3 units down.

5 0

3 years ago

Read 2 more answers

What is the slope-intercept form of a line that contains the point (0,3) and a slope =-2?

rosijanka [135]

Answer:

Step-by-step explanation:

-2 is in front of x so thats gonna be the slope

and +3 is the y-intercept

5 0

3 years ago

What is 21 over 50 as a decimal

mel-nik [20]

21 over 50 is

21/50.

The same thing, just put 21 on top, a line under it, and below that line, put the 50

5 0

3 years ago