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Sedaia [141]
1 year ago
8

A scatterplot is used to display data for a runner where x is the number of miles run, and y is the time, in minutes, that it ta

kes to run that distance.
Which interpretation describes a line of best fit of y = 9.5x for the data in the scatterplot?
For each 1 minute, the runner ran 9.5 miles.
For each 9.5 minutes, the runner ran 1 mile.
The minimum distance with a recorded time is 9.5 miles.
The maximum distance with a recorded time is 9.5 miles.
Mathematics
1 answer:
larisa [96]1 year ago
8 0

The interpretation of y = 9.5x is that: (a) For each 1 minute, the runner ran 9.5 miles.

<h3>How to interpret the equation?</h3>

The equation of the line of best fit is given as:

y = 9.5x

Divide both sides by x

9.5 = y/x

From the question, we have:

  • x ⇒ number of miles run
  • y ⇒ time

This means that:

9.5 = number of miles run/time

Hence, the interpretation of y = 9.5x is that: (a) For each 1 minute, the runner ran 9.5 miles.

Read more about scatter plots at:

brainly.com/question/6592115

#SPJ1

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9514 1404 393

Answer:

  about 44.5 feet

Step-by-step explanation:

We can write relations for the height of the rail as a function of initial length and expanded length, but the solution cannot be found algebraically. A graphical solution or iterative solution is possible.

Referring to the figure in the second attachment, we can write a relation between the angle value α and the height of the circular arc as ...

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Then the length of the expanded rail is ...

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Rearranging this last equation, we have ...

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It is this equation that must be solved iteratively. We find the solution to be ...

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So, the height of the circular arc is ...

  h = 2640.5·tan(0.0168538794049) ≈ 44.4984550191 . . . feet

The rail will bow upward by about 44.5 feet.

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<em>Additional comments</em>

Note that s and c in the diagram are half the lengths of the arc and the chord, respectively. The ratio of half-lengths is the same as the ratio of full lengths: c/s = 2640/2640.5 = 5280/5281.

We don't know the precise shape the arc will take, but we suspect is is not a circular arc. It seems likely to be a catenary, or something similar.

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We used Newton's method iteration to refine the estimate of the angle from that shown on the graph. The iterator used is x' = x -f(x)/f'(x), where x' is the next guess based on the previous guess of x. Only a few iterations are required obtain an angle value to full calculator precision.

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Hope this helps


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3 years ago
6 1⁄3 + 7 1⁄4 – 2 1⁄2 =
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Answer:

11 1/12

Step-by-step explanation:

6 1/3 = 19/3

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19/3 + 29/4 - 5/2


We must find the LCM of 3, 4, and 2. This happens to be 12

3*4 = 12

4*3 = 12

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Multiply each fraction by the factor that'll get it to 12.


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5/2 * 6/6 = 30/12

Now go through the problem


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163 - 30 = 133

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Hope this helps.

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