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kakasveta [241]
3 years ago
12

According to the Bureau of Transportation, 80.3% of American Airlines flights arrive on time. What is the probability that a ran

domly selected American Airlines flight does not arrive on time?
Mathematics
1 answer:
Nostrana [21]3 years ago
5 0

Answer:

The probability that a randomly selected American Airlines flight does not arrive on time is 0.197.

Step-by-step explanation:

The probability of the complement of an event <em>E</em> is the probability of it not happening.

That is,

P(E^{c})=1-P(E)

It is provided that the probability of American Airlines flights arriving on time  (<em>X</em>) is,

P(X) = 0.803

Then the event of American Airlines flights not arriving on time is the complement of the event <em>X</em>.

Compute the probability of the complement of event <em>X</em> as follows:

P(X^{c})=1-P(X)=1-0.803=0.197

Thus, the probability that a randomly selected American Airlines flight does not arrive on time is 0.197.

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Based on your knowledge of taxes, you estimate that your net pay will be 66% of your gross pay. You think you will need $250 per
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The gross pay per year is \fbox{\bf\$19697.6}.

Further explanation:

Given:

The net pay is 66% of the gross pay. The net pay per week is $250.

Calculation:

Consider the gross pay as x and net pay as y.

Since the net pay y is 66% of the gross pay x, it can be written as follows:

\begin{aligned}\frac{{x\times66}}{{100}}&=y\\x&=\frac{{y\times 100}}{{66}}\\x&=1.5151y\\\end{aligned}

The net pay per week is given as $250.

Substitute 250 for y in above equation.

\begin{aligned}x&=1.5151\left( {250}\right)\\&= 378.8\,\,{\text{dollar}}\,\,{\text{per}}\,{\text{week}}\\\end{aligned}

Since, there exist 52 weeks in a year, the gross pay per year is calculated as follows:

\begin{aligned}x &= 378.8\left({52} \right)\\&= 19697.6\,\,{\text{dollar}}\,\,{\text{per}}\,{\text{year}}\\\end{aligned}

Thus, the gross pay per year is $19697.6.

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Answer Details:

Grade: Middle School

Subject: Mathematics

Chapter: Interest

Keywords: Gross pay, net pay, rate, accounts, simple interest, compound interest, percent, dollar, tax, interest rate, net worth, annually, weekly, weeks, $250, total income, charity, compounded.

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3 years ago
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Answer:

-27x³

Step-by-step explanation:

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Which expression is equivalent to 6f-1+7f-8<br><br><br><br> 13f+7<br> 5f-1<br> -f+7<br> -9+13f
atroni [7]

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Step-by-step explanation:

6f-1+7f-8

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The function f (x) has an average rate of change on the interval -2 &lt; x &lt; 3 of 3.4. If f (-2) = 9 then which of the follow
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Answer:

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Step-by-step explanation:

Average rate of change = 3.4

Interval: -2 < x < 3

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We need to find f(3)

The formula used to calculate Average rate of change is: Average \ rate \ of \ change=\frac{f(b)-f(a)}{b-a}

here we have a=-2 and b=3

Now finding f(3)

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So, The value of f(3)=12.4

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3 years ago
The graph of which function has a y-intercept of 3
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If the line goes through the vertical line, that’s your y intercept. Just find the number that it crosses and that your intercept.
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