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Maru [420]
3 years ago
10

He local high school track team practices on an oval running track. One lap of the track is 1/4 of a mile. - Write an expression

that represents the total distance run based on the number of laps, p, completed. - Determine the total distance run, if a member of the track team completes 22 laps. - Provide work and/or an explanation at how you arrived at your answer.
Mathematics
1 answer:
NNADVOKAT [17]3 years ago
6 0

Answer:

Step-by-step explanation:

On the oval track, one lap is 1/4 of a mile. If p laps are completed, the expression that represents the total distance run based on the number of laps is

p × 1/4 = p/4 miles

With the above expression, we would determine the number of miles run buy a team member if we are given the number of laps by just inputting the number of laps for p. Therefore,

if a member of the track team completes 22 laps, the total distance covered by the member would be

22 × 1/4 = 5.5 miles

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Svetlanka [38]

The best answer from the options that proves that the residual plot shows that the line of best fit is appropriate for the data is: ( Statement 1 ) Yes, because the points have no clear pattern

X         Given     Predicted     Residual value

1            3.5           4.06             -0.56

2           2.3           2.09             0.21

3            1.1            0.12               0.98

4           2.2           -1.85              4.05

5          -4.1            -3.82            -0.28

The residual value is calculated as follows using this formula: ( Given - predicted )

1) ( 3.5 - 4.06 ) = -0.56

2) ( 2.3 - 2.09 ) = 0.21

3) ( 1.1 - 0.12 ) = 0.98

4) (2.2 - (-1.85) = 4.05

5) ( -4.1 - (-3.82) = -0.28

Residual values are the difference between the given values and the predicted values in a given data set and the residual plot is used to represent these values .

attached below is the residual plot of the data set

hence we can conclude from the residual plot attached below that the line of best fit is appropriate for the data because the points have no clear pattern ( i.e. scattered )

learn more about residual plots : brainly.com/question/16821224

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2 years ago
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  see attached

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To find the inverse function, solve ...

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  x +4 = (y^7)/7 . . . . . . add 4

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Total number of students surveyed = 200
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Number of brown eyed male students = 60
Probability of a brown eyed male student = 60 / 80 = 0.75.

Since, <span>eye color and gender are independent, this means that eye color is not affected by the gender. Thus, we expect a similar probability of brown eye for female as we had for male.

Let the number expected of brown eyed females be x, then x / 120 = 0.75.

Thus, x = 120(0.75) = 90.

Therefore, the number female students surveyed expected to be brown eyed is 90.</span>
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