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pashok25 [27]
2 years ago
12

Ermias and Jeremiah both leave the bookstore at the same time, but in opposite directions. If Jeremiah travels 8 mph faster than

Ermias and after 8 hours they are 240 miles apart, how fast is each traveling?
Mathematics
1 answer:
leva [86]2 years ago
3 0

Using proportions, it is found that Ermias is traveling at a rate of 11 mph and Jeremiah at a rate of 19 mph.

<h3>What is a proportion?</h3>

A proportion is a fraction of a total amount, and the measures are related using a rule of three.

Jeremiah travels 8 mph faster than Ermias, hence their velocities are:

x, x + 8

They travel in opposite directions, hence in one hour they are 2x + 8 apart.

In eight hours, the distance is 8(2x + 8), which is of 240 miles, hence:

8(2x +8) = 240

2x + 8 = 30

2x = 22

x = 11.

Then:

  • x = 11 -> Ermias.
  • x = 11 + 8 = 19 -> Jeremiah.

More can be learned about proportions at brainly.com/question/24372153

#SPJ1

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A printing company charges $5.00 for the first 400 pages printed. For each page printed over 400, the customer is charged an add
Vadim26 [7]

Answer:

D

Step-by-step explanation:

Up to 400 pages, the cost is fixed at 5.00 dollars

After 400 pages the cost is 0.01 cents/page

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3 years ago
a previous analysis of paper boxes showed that the standard deviation of the length is 9mm. What is the 98% confidence interval
il63 [147K]
We cannot calculate the confidence interval without the sample size.  However, for the second question, the sample size needed would be 49.

The formula we use is

n=(\frac{z_{\frac{\alpha}{2}}\times \sigma}{E})^2

To find the z-score:
Convert 98% to a decimal:  0.98
Subtract from 1:  1-0.98 = 0.02
Divide by 2:  0.02/2 = 0.01
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Using a z-table (http://www.z-table.com) we see that this value is closest to a z-score of 2.33.

Using the z-score, our standard deviation (9) and our margin of error (3), we have:
n=(\frac{2.33(9)}{3})^2=(6.99)^2=48.86\approx 49
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Answer:

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