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ozzi
2 years ago
13

Last year a large trucking company delivered 4.5x10^5 tons of goods with an average value of $22,000 per ton. what was the total

value of the goods delivered? write the answer in scientific notation.
9.9x10^8
9.9x10^11
9.9x10^9
9.9x10^10
Mathematics
1 answer:
Inga [223]2 years ago
4 0
The answer is 9.9x10^8

All you have to do is take the total amount of goods in tons (450,000 tons) and multiply that by 22,000 (the average price of the goods per ton.)
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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

So

    P(X  >300 ) = 0.97219

8 0
3 years ago
Gio ran 5 miles yesterday. This distance is 80% of the distance he planned to run.
aleksklad [387]

Answer:

Gio planned to 6 miles.

Step-by-step explanation:

this is because  5 - 80% = 1

which means he wanted to run 1 more mile

which also means that he planned to run 6 miles

3 0
2 years ago
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netineya [11]

Answer:

no, it's 81

Step-by-step explanation:

9×9=81 hope that this helps you and have a great day :)

5 0
3 years ago
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(-8) - 3y= 25<br><br>if you have time please help, thank you​
Neko [114]

(-8) - 3y= 25

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sign changes from -8 to +8

-8+8-3y=25+8

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and to get +y

-3y/-3= 33/-3

Answer:

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8 0
2 years ago
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Amelia spent an hour an a half on a drawing .At the end she said that it was 75% done.How much time do she needs and how much ti
noname [10]
You can think of an hour and a half as 75% itself already because you have 3/4 or three thirty minute periods. So every 1/4 is a 30 minute period, and if you multiply 1/4 by 4 you get 4/4 which you ten can convert to 2 hours or 4, 30 minute time periods. (I’m sorry if I explained this in a very confusing manner). It will take Amelia 2 hours in total to finish her drawing.
7 0
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