Helppppppppppppppppppp

Rina8888 [55]

I would recommend taking a picture of the instructions because I am not sure if you need to find the equation of the line that is parallel or perpendicular, so I will do both.

1. (3 , 2); y = 3x - 2

If the line is parallel to the given equation, the slopes have to be the SAME, so the slope(m) is 3

y = mx + b

y = 3x + b

To find b you plug in the point (3, 2) into the equation

2 = 3(3) + b

2 = 9 + b

-7 = b

The equation of the line that is parallel to the given equation is:

y = 3x - 7

To find the equation of the line that is perpendicular to the given equation, the slope has to be the exact opposite of the given slope. (you flip the sign and the number of the given slope to get the perpendicular line's slope)

The given slope is 3, the perpendicular slope is $-\frac{1}{3}$

y = mx + b

$y = -\frac{1}{3} x + b$

To find b, you plug in the point (3 , 2) into the equation

$2 = -\frac{1}{3} (3) + b$

2 = -1 + b

3 = b

The equation of the line perpendicular to the given equation is:

$y = -\frac{1}{3} x +3$

8 0

2 years ago

What is true of the coefficient of variation?

DedPeter [7]

Answer:

A. The coefficient of variation is best used when comparing two data sets that use the same units of measure.

Step-by-step explanation:

The coefficient of variation (CV), is simply the standard deviation (itself a measure of variance or variation) relative to the mean of a distribution.

The coefficient of variation expresses a random variable’s variability in percentage terms. Therefore it is possible, through the coefficient of variation, to compare the variability of data across different samples, especially if the random variables are recorded in different units of measurement (such as cm, kg and minutes).

A coefficient of variation is always interpreted as a percentage. <u>Mathematical representation is:</u>

$Coefficient\ of\ variation\ = \frac{Standard\ deviation}{Mean}\ \%$