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Helen [10]
3 years ago
13

Alan and his classmates performed a linear regression analysis on the data set shown below and found that the line of best fit t

hrough the data had the equation y=−54x+18. Which of the following equations represents a line that would intersect their line of best fit at a right angle?

Mathematics
1 answer:
stealth61 [152]3 years ago
5 0

Answer:

C. y=\frac{4}{5}x+7

Step-by-step explanation:

Alan and his classmates found that the line of best fit through the data had the equation y=-\frac{5}{4}x+18

The slope of this line is m=-\frac{5}{4}

If a line would intersect this line of best fit at right angles, then the two lines are perpendicular to each other.

The slopes of perpendicular lines are negative reciprocals of each other,

Hence that line must have slope \frac{-1}{-\frac{5}{4}} =\frac{4}{5}

Therefore we look for a line whose slope is \frac{4}{5} from the given options.

That line is the third option y=\frac{4}{5}x+7

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A quadrilateral has three angles that measure 90o , 100o, and 120o. Which is the measure of the fourth angle?
Reptile [31]

360 - (100 + 90 + 120)  \\ 360 - 310 = 50
it measures 50


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3 years ago
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kiruha [24]

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3 0
2 years ago
How do I find the average rate of change?​
Alenkasestr [34]

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8 0
3 years ago
How many triangles can be constructed with side lengths of 9.6 cm, 11.6 cm, and 21.2 cm?
nignag [31]

Answer:  A) 0 triangles

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

Explanation:

Adding up the two smaller sides gets us 9.6+11.6 = 21.2, but this result is not larger than the third side of 21.2

For a triangle to be possible, we need to be able to add any two sides and have the sum be larger than the third remaining side. This is the triangle inequality theorem.

I recommend you cutting out slips of paper with these side lengths and trying it out yourself. You'll find that a triangle cannot be formed. The 9.6 cm and the 11.6 cm sides will combine to form a straight line that is 21.2 cm, but a triangle won't form.

As another example of a triangle that can't be formed is a triangle with sides of 3 cm, 5 cm, and 8 cm. The 3 and 5 cm sides add to 3+5 = 8 cm, but this does not exceed the third side. The best we can do is form a straight line but that's not a triangle.

In short, zero triangles can be formed with the given side lengths of 9.6 cm, 11.6 cm, and 21.2 cm

3 0
2 years ago
50 POINTS!!!!!
Makovka662 [10]

We can adjust the data by adding 4 to everything before we calculate the statistics.  Or we can calculate the statistics on the given data and just add 4 to everything at the end.  We'll get the same answer either way.

Let's sort the seven data points:  5 5 5 7 7 9 10

Those add up to 48 so the mean is 48/7 = 6.9

The one in the middle is 7 so the median = 7

The mode is the most common one, mode = 5

The range is the difference between max and min, so range = 10 - 5 = 5

In the second week we add four to everything.  Since that adds four to the min and max, the range doesn't change.

Answer: mean=10.9, median=11, mode=9, range=5

7 0
3 years ago
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