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IRINA_888 [86]
2 years ago
5

What is the slope of the line that passes through the points (-10, -8) and

Mathematics
2 answers:
RoseWind [281]2 years ago
5 0

Answer:

Equation: y = -4x + 32

Slope: -4

Step-by-step explanation:

Given : (-10,-8) and (-8, -16)

Slope Formula:   \frac{y_1 - y_2}{x_1-x_2}

Solve For Slope,  Input Given Points:

  • \frac{-8 - (-16)}{-10 - (-8)}
  • \frac{8}{-2}
  • -4

Solve for y-intercept:

Input the slope into the equation y = mx + b. Plugin x and y values for the x and y variables to find b.

  • y = -4x + b
  • -8 = -10(4) + b
  • -8 = -40 + b
  • b = 32

Equation of LIne: y = -4x + 32

-Chetan K

KonstantinChe [14]2 years ago
5 0

Answer:

(1,-4)

Step-by-step explanation:

Remember this formula:

y2 - y1/x2-x1

Your two cordinates:

(-10,-8) and (-8,-16)

First do -16-(-8)

That should equal -8

Note: This is for the Y

Next do -8-(-10)

That should equal 2

Note: This is for the X

So now our slope is (2,-8)

If you want the simplest form:

Divide by (2,2)


So the answer shall be (1,-4).

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3 years ago
Consider a value to be significantly low if its z score less than or equal to minus−2 or consider a value to be significantly hi
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Answer:

Test scores of 10.2 or lower are significantly low.

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Step-by-step explanation:

Z-score:

In a set with mean \mu and standard deviation \sigma, the zscore 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. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

In this problem, we have that:

\mu = 20.6, \sigma = 5.2

Significantly low:

Z-scores of -2 or lower

So scores of X when Z = -2 or lower

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

-2 = \frac{X - 20.6}{5.2}

X - 20.6 = -2*5.2

X = 10.2

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Significantly high:

Z-scores of 2 or higher

So scores of X when Z = 2 or higher

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

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X - 20.6 = 2*5.2

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