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Leona [35]
2 years ago
14

When downloading a large file from the internet Alice interrupted the download by closing her computer. Later that evening she r

esumed the download and noticed that the file was downloading at a constant rate of change. 3 minutes since resuming the download 6720 total MegaBytes (MB) of the file had been downloaded and 5 mintues since resuming the download 10560 total MegaBytes (MB) of the file had been downloaded.
Mathematics
1 answer:
Temka [501]2 years ago
8 0

Using the slope concept, it is found that the rate of download of the file is of 1920 MB/s.

<h3>What is the slope?</h3>

The slope of a linear function is given by the <u>change in the output divided by the change in the input</u>.

In this problem:

  • 3 minutes since resuming the download 6720 total MegaBytes (MB).
  • 5 minutes since resuming the download 10560 total MegaBytes (MB) of the file had been downloaded..
  • Hence, in 2 minutes, there was a change of 10560 - 6720 = 3840 MB, which means that the slope is:

m  = \frac{3840}{2} = 1920

The rate of download of the file is of 1920 MB/s.

You can learn more about the slope concept at brainly.com/question/25934562

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So 15 gallons of gas brought it from 1/8 full to 3/4 full.

Let's change 3/4 to the equivalent fraction 6/8  so that the denominators are the same.    (3/4 = 6/8)

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So 15 is 5/8 of what number?  (This will tell us the capacity of the whole tank)

15 = 5/8n
Divide both sides by 5/8 (remembering to multiply by the reciprocal 8/5)
15 ÷ 5/8  = 15 x  8/5  = 18

So the tank holds 24 gallons and (since it is 3/4 full or has 18 gallons) it needs 6 gallons to fill the tank.

Check - at first  1/8 full (1/8 of 24 = 3)  So we started with 3 gallons. 15 gallons added to the 3 gallons is 18 gallons.  Now the tank is 6/8 (3/4 full).  The remaining 1/4 (2/8) of a tank is the difference between 18 and it's capacity (24 gallons)  so it will need 6 gallons to fill it up..

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Differentiate. Y=5x^2 +6x
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The local genealogical society in Coles County, Illinois, has compiled records on all 55,914 gravestones in cemeteries in the co
krok68 [10]

Answer:

Step-by-step explanation:

There are 2 ways to proceed further.

Option A is with using the random number table.

  1. Let us assume that each gravestone has  a unique number between 1 and 55914.
  2. Choose a row at random from  the table.
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Repeat until 395 gravestones have been selected.

Option B is with using any calculator with capability of generating random integer. Here  for example consider any TI series programmable calculator.

  • Enter the following command into your calculator:

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  • The first and second number are the lower and upper limits between which the values have to lie.
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Next we find the standard deviation.  Find the difference between each data point and the mean; square it; find the sum; divide by the number of data points; take the square root.  The standard deviation is 3.32.

To find the margin of error, we calculate the z-score associated with this level of confidence.  100-90 = 10% = 0.1; 0.1/2 = 0.05; 1-0.05 = 0.95.  Using a z-table (http://www.z-table.com) we see that this is between two scores, 1.64 and 1.65; we will use 1.645.

The margin of error is given by
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Thus the confidence interval is 77.28 +/ 2.23.
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