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artcher [175]
4 years ago
10

Give the slope of y+2=3(x-7) and a point on the line

Mathematics
1 answer:
BlackZzzverrR [31]4 years ago
8 0
Hey!


There's two ways we can find the slope intercept form for this equation. Which would be to convert to standard form, or convert to slope intercept form. In this case, I'll be converting the equation to slope intercept form.

<em>Slope Intercept Form Formula :
</em>4y = mx + b

Now, we'll write out our original equation and convert it.

<em>Original Equation :
</em>y + 2 = 3 ( x - 7 )

<em>New Equation {Changed by Conversion} :
</em>y = 3x - 23

From here we can really just spot which number is  and that number is 3.
If you want to know how that image is graphed, I attached an image to the answer.

<em>So, the slope of the equation y + 2 = 3 ( x - 7 ) is</em>  3.

Hope this helps!


- Lindsey Frazier ♥

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Supposing a normal distribution, we find that:

The diameter of the smallest tree that is an outlier is of 16.36 inches.

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We suppose that tree diameters are normally distributed with <u>mean 8.8 inches and standard deviation 2.8 inches.</u>

<u />

In a normal distribution with mean \mu and standard deviation \sigma, the z-score of a measure X is given by:

Z = \frac{X - \mu}{\sigma}

  • The Z-score measures how many standard deviations the measure is from the mean.
  • After finding the z-score, we look at the z-score table and find the p-value associated with this z-score, which is the percentile of X.<u> </u>

<u />

In this problem:

  • Mean of 8.8 inches, thus \mu = 8.8.
  • Standard deviation of 2.8 inches, thus \sigma = 2.8.

<u />

The interquartile range(IQR) is the difference between the 75th and the 25th percentile.

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25th percentile:

  • X when Z has a p-value of 0.25, so X when Z = -0.675.

Z = \frac{X - \mu}{\sigma}

-0.675 = \frac{X - 8.8}{2.8}

X - 8.8 = -0.675(2.8)

X = 6.91

75th percentile:

  • X when Z has a p-value of 0.75, so X when Z = 0.675.

Z = \frac{X - \mu}{\sigma}

0.675 = \frac{X - 8.8}{2.8}

X - 8.8 = 0.675(2.8)

X = 10.69

The IQR is:

IQR = 10.69 - 6.91 = 3.78

What is the diameter, in inches, of the smallest tree that is an outlier?

  • The diameter is <u>1.5IQR above the 75th percentile</u>, thus:

10.69 + 1.5(3.78) = 16.36

The diameter of the smallest tree that is an outlier is of 16.36 inches.

<u />

A similar problem is given at brainly.com/question/15683591

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You want to move all numbers on the same side of x to the other side with y. Whenever doing this, we have to reverse the operation. In this problem, we have + 3 with x. So we will need to subtract 3 from both sides.

x + 3 = y

x = y - 3

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Answer:

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