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Bad White [126]
1 year ago
15

In science class, the average score on a lab report is 82 points, with all students scoring within 3.2 points of the average. If

x represents a student's score, write an equation that represents the minimum and maximum scores.
Mathematics
1 answer:
nirvana33 [79]1 year ago
7 0

An equation that represents the minimum and maximum scores is; |x - 82| = 3.2.

<h3>How to write an absolute value equation?</h3>

The absolute value function is defined by:

f(x) = x, x ≥ 0.

f(x) = x, x < 0.

It measures the distance of a point x to the origin.

For this problem, the distance between the minimum and the maximum scores and the mean is of 3.2, that is, the difference between these scores x and the mean of 82 is of 3.2, hence the absolute value equation that represents this situation is given by:

|x - 82| = 3.2.

Read more absolute Value equation at; brainly.com/question/5012769

#SPJ1

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Find the rational number whose decimal expansion is 0.3344444
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Answer: The fraction 301/900
Note: I'm assuming the 4's continue on forever

==============================================

Work Shown:

I'm going to assume that the 4s go on forever. I'll represent this with three dots after the last 4 like so
0.334444...

Now let x = 0.334444...

Multiply both sides by 100
x = 0.334444...
100x = 100*(0.334444...)
100x = 33.444444...

And repeat with 1000
x = 0.334444...
1000x = 1000*(0.334444...)
1000x = 334.444444...

Then subtract and solve for x. Notice how the decimal parts line up and cancel
1000x-100x = (334.444444...) - (33.444444...)
1000x-100x = (334+0.444444...) - (33+0.444444...)
1000x-100x = 334+0.444444... - 33 - 0.444444...
1000x-100x = (334-33)+(0.444444... - 0.444444...)
900x = 334 - 33
900x = 301
x = 301/900
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Step-by-step explanation:

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