Which of the following lines is perpendicular to the line Y = 3x -4

Mathematics

1 answer:

andriy [413]2 years ago

6 0

Answer:

Step-by-step explanation:

When a line is perpendicular to another, their slopes will be opposite reciprocal. For example, 1 would be -1, -3 would be $\frac{1}{3}$ , and $\frac{5}{1}$ would be -5. The equation is written in slope-intercept form:

$y=mx+b$

m is the slope, so find the equation with the opposite reciprocal of 3, $-\frac{1}{3}$ :

$y=-\frac{1}{3} x+4$ is the only option with the correct slope, so the answer is D.

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Answer:

40%

Step-by-step explanation:

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The mean height of married American women in their early twenties is 64.5 inches and the standard deviation is 2.5 inches. The m

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Answer:

The equation for regression line and predicting a husband's height for married couples in their early 20s

Equation: Y'=33.67+0.54*X'

Step-by-step explanation:

r=0.5

x'=64.5

Sx=2.5

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General regression line equation is:

Y'=a+b*X'

so the slope of the regression line is the linear correlation coefficient multiplied by the standard deviation for y' divided by the standard deviation for x'

$b=r*\frac{S_{y}}{S_{x}}\\b=0.5*\frac{2.7}{2.5}\\b=0.54$