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laiz [17]
3 years ago
5

Consider the equation

Mathematics
1 answer:
ale4655 [162]3 years ago
4 0

Answer:

slope of line parallel to given line=slope of given line

=9/2

slope of line perpendicular to given line=‐1/slope of given line

= -2/9

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An airplane has 100 seats for passengers. Assume that the probability that a person holding a ticket appears for the flight is 0
zmey [24]

Answer:

96.33% probability that everyone who appears for the flight will get a seat

Step-by-step explanation:

I am going to use the binomial approximation to the normal to solve this question.

Binomial probability distribution

Probability of exactly x sucesses on n repeated trials, with p probability.

Can be approximated to a normal distribution, using the expected value and the standard deviation.

The expected value of the binomial distribution is:

E(X) = np

The standard deviation of the binomial distribution is:

\sqrt{V(X)} = \sqrt{np(1-p)}

Normal probability distribution

Problems of normally distributed samples can be solved using the z-score formula.

In a set with mean \mu and standard deviation \sigma, the zscore of a measure X is given by:

Z = \frac{X - \mu}{\sigma}

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

When we are approximating a binomial distribution to a normal one, we have that \mu = E(X), \sigma = \sqrt{V(X)}.

In this problem, we have that:

n = 105, p = 0.9

So

\mu = E(X) = np = 105*0.9 = 94.5

\sigma = \sqrt{V(X)} = \sqrt{np(1-p)} = \sqrt{105*0.9*0.1} = 3.07

What is the probability that everyone who appears for the flight will get a seat

100 or less people appearing to the flight, which is the pvalue of Z when X = 100. So

Z = \frac{X - \mu}{\sigma}

Z = \frac{100 - 94.5}{3.07}

Z = 1.79

Z = 1.79 has a pvalue of 0.9633

96.33% probability that everyone who appears for the flight will get a seat

7 0
2 years ago
A number is between -2 and -10. What is the least possible integer value of this number
astraxan [27]
-9, it is between -2 and -10 and it is the least possible integer
6 0
3 years ago
Martina is currently 14 years older than her cousin Joey. In 5 years she will be 3 times as old as Joey. How old is Martina? How
Rufina [12.5K]

Answer:

Joey is 2 years old and Martine is 16 years old.

Step-by-step explanation:

5 0
3 years ago
Write the slope intercept form of the equation.
Elza [17]

Hello!

The slope intercept form equation is shown below.

y=mx+b

In this equation, m represents the slope and b is the y-intercept.

We can just plug in our numbers to find our answer.

y=3x-2

I hope this helps!

4 0
3 years ago
Please help ASAP! Thanks a lot
spin [16.1K]
2000 x 1.12^6
= 3947
8 0
2 years ago
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