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3 years ago

Which expression correctly represents "nine less than the quotient of a number and four, increased by three"?

Mathematics

1 answer:

kogti [31]3 years ago

8 0

Answer:9-x/4+3

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

Solving quadratic equations using square roots <br><br> (2/5)(x+3)^2=5

Slav-nsk [51]

$x = - 3 + \frac{5 \sqrt{2} }{2} \\ - 3 - \frac{5 \sqrt{2} }{2}$
$x = .5355339 \\ - 6.5355339$

I think that's what your looking for

6 0

3 years ago

Hannah starting playing video games as soon as she got home from school. She played video games for 20 minutes. Then, it took Ha

kap26 [50]

She got home from school at 2:45 pm

3 0

3 years ago

What's -20 times -10 times -1 times 0

neonofarm [45]

Zero.
Anything times zero is zero.
-20 * -10 = 200
200 * -1 = -200
-200 * 0 = 0

4 0

3 years ago

Read 2 more answers

BRAINLEST + THANKS! (college algebra/ pre-cal)

Jobisdone [24]

The answer is 9m^6/n^8

5 0

3 years ago