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Masja [62]
3 years ago
13

WILL MARK BRAINLIEST ASAP!!!!!!!!!

Mathematics
1 answer:
Elza [17]3 years ago
8 0

Step-by-step explanation:

\angle \: 6 \: and \:  \angle \: 11 \:are \: corresponding \\ angles. \\ corresponding \: angles \: are \: congruent. \\  \\   \therefore \: \angle \: 6  =  \angle \: 11 \\  \\ \therefore \: (2x + 28) \degree = (6x - 24) \degree  \\  \\ \therefore \:2x - 6x =  - 24 - 28 \\  \\ \therefore \: - 4x =  - 52  \\  \\ \therefore \: x =   \frac{- 52 }{ - 4}  \\  \\  \huge \red{ \boxed{\therefore \: x =   13 }}  \\  \\

Thus,

The value of x is 13, because corresponding angles are congruent

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An airline finds that 5% of the persons making reservations on a certain flight will not show up for the flight. If the airline
vivado [14]

Answer:

The answer to the question is;

The probability that a seat will be available for every person holding a reservation and planning to fly is 0.63307.

Step-by-step explanation:

Let the sample size =n = 100

The success probability = 5 % = 0.05

Number of tickets sold = 105 tickets

In the case where there the airline has found that 5 % will not show up, then every passenger should have  a seat, we have  

A Binomial distribution is appropriate where there is a chance for a certain number of successful outcomes from a number of independent trails

However n·p and n·q must be ≥ 5 for there to be a normal approximation of a Binomial distribution thus

n·p = 105×0.05 =  5.25 ≥ 5

and n·q = n(1 - p) = 105 (1 - 0.05) = 99.75 ≥ 5

As the requirements are met, we can proceed with the approximation of the Binomial distribution by the normal distribution

 z = \frac{x-np}{\sqrt{np(1-p)}  } = \frac{4.5 - 105*0.05}{\sqrt{105*0.05(1-0.05)} } =  - 0.3358

We therefore have P(x ≥ 5) = P( x > 4.5) = P(z > -0.34) = 1 - P(z < -0.34) = 1 -0.36693 = 0.63307

Another way to solve the question is as follows

p = 0.95 q = 0.05

μ = np = 0.95*105 = 99.75, σ = \sqrt{npq} = 2.233

P (x≤100) = P(z = P(z<0.34) = 0.63307.

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