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Anna71 [15]
3 years ago
5

An airline has 82% of its flights depart on schedule. It has 65% of its flight depart and arrive on schedule. Find the probabili

ty that a flight that departs on schedule also arrives on schedule. Round the answer to two decimal places.
A. 0.80
B. 0.17
C. 0.53
D. 0.79
Mathematics
1 answer:
victus00 [196]3 years ago
7 0

Answer:

0.79

Step-by-step explanation:

Here,  

Let X be the event that the flights depart on time

Let Y be the event that flights arrive on time

So,  

X∩Y will denote the event that the flights departing on time also arrive on time.

Let P be the probability  

P(X∩Y)=0.65

And

P(X)=0.82

We have to find P((Y│X)

We know that

P((Y│X)=P(X∩Y)/P(X) )

=0.65/0.82

=0.79

So the probability that a flight that departs on schedule also arrives on schedule is: 0.79

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If a person invested half of her money at 9% and half at 7% and received $160 interest, find the total amount of money invested.
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Answer:

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Step-by-step explanation:

let x be the money she invested

lets assume this was for 1 year

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What is the solution to the equation below? riund your answer to two decimal places. (24) log(3x) = 60
Amanda [17]

The answer is:  " x = 105.41 " . 

_____________________________________________

Explanation:

_____________________________________________

Given:   " 24 log (3x) = 60 " ;  Solve for "x" .

The default is to assume "base 10" for the "logarithm". 

_____________________________________________

Start by dividing each side of the equation by "24" ; 

       →   [ 24 log(3x) ] / 24  = 60 / 24 ; 

to get:  

_____________________________________________

 log (3x)  = 2.5 ;

_____________________________________________

Rewrite as:  log₁₀ (3x) = 2.5 ;  

_____________________________________________

Using the property of logarithms:

⇔    10⁽²·⁵⁾  =   3x  ;  

↔   3x = 10⁽²·⁵⁾   ;

         →  10^ (2.5) = 316.2277660168379332 ;

     →  3x = 316.227766016837933 ;  

Divide each side of the equation by "3" ;

  to isolate "x" on one side of the equation;

      and to solve for "x" ;

    →  3x / 3 =  316.2277660168379332 / 3  ;

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    →  round to 2 (two) decimal places;

_____________________________________________

         →   " x = 105.41 " .

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 Hope this helps!

    Best wishes to you!

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