To compute the mean, you simply have to sum all the elments in the data set and the divide the sum by the number of elements:

To compute the variance, we first need to compute the distance of each element from the mean. To do so, we build a "parallel" dataset, given by the difference of every value and the mean:


Now we need those difference squared:

The variance is the mean of this new vector, so

Finally, the standard deviation is simply the square root of the variance, so you have

Answer:
2x + y - 6 = 0
OR 2x + y = 6
Step-by-step explanation:
First write the equation given in the problem:
y = -2x + 6 This is in slope-intercept form (y = mx + b).
Standard form is written Ax + By + C = 0. When C is a negative number, you might also see it as Ax + By = -C.
The main difference between the two forms in that slope-intercept form isolates the 'y' whereas standard form equates to 0. Don't confuse the 'b' in standard from with the 'B' in slope-intercept form.
To convert from slope-intercept form to standard form, <u>move everything over to the side with 'y'</u>. When you move something, you do its reverse operation to the whole equation. (The reverse of addition is subtraction, the reverse of multiplication is division.)
y = -2x + 6 Do the reverse operations for -2x and +6
y + 2x - 6 = -2x + 2x + 6 - 6 Add 2x and subtract 6 on both sides
y + 2x - 6 = 0 Right side cancels out to be '0'.
2x + y - 6 = 0 Rewrite with the 'x' in front of the 'y'
Here you can see the new equation and what each variable in Ax + By + C = 0 is.
A = 2
B = 1 When a number is not written with the variable, it is 1.
C = -6
Some teachers ask it to be rewritten as Ax + By = -C when 'C' is a negative number.
2x + y = 6
Answer:
Step-by-step explanation:
0,5
Hello!
Angle POQ and angle MON are vertical which means they are congruent
x - 28 = 149
Add 28 to both sides
x = 177
Angle NOQ and angle NOM are supplementary meaning they add to 180
NOQ + NOM = 180
Put in the known angle
NOQ + 149 = 180
Subtract 149 from both sides
NOQ = 31
The answers are x = 177 and angle NOQ = 31
Hope this helps!
Answer: the pitch of the roof is 2/9