Answer:
The standard deviation of x is 2.8867
Step-by-step explanation:
The standard deviation of variable x that follows a uniform distribution is calculated as:

Where (a,b) is the interval where x is defined.
So, replacing a by -4 and b by 6, the standard deviation is:





Because the line is already written in slope-intercept form, we can find the slope and y-intercept just by looking at it.
<u>The slope is 6.</u>
<u>The y-intercept is -12.</u>
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Answer:
x = 22.5°
Step-by-step explanation:
Angle BED ≅ angle EBC = 6x, so angle BEA = 4x. The angles FEB and BEA form a linear pair, so we have ...
4x +4x = 180°
x = 22.5° . . . . . . divide by 8
_____
BED and EBC are "alternate interior angles" with respect to transversal BE crossing parallel lines DE and AC.
Answer:
<em>x-intercept = 1/8</em>
<em>y-intercept = -1/2</em>
Step-by-step explanation:
Let y = 0, and solve for x to find the x-intercept. Then let x = 0 and solve for y to find the y-intercept.
x-intercept
16x - 4y = 2
16x - 4(0) = 2
16x - 0 = 2
16x = 2
x = 2/16
x = 1/8
x-intercept = 1/8
y-intercept
16x - 4y = 2
16(0) - 4y = 2
0 - 4y = 2
-4y = 2
y = 2/-4
y = -1/2
y-intercept = -1/2
Answer:
answer is 72 degree because the side of the angle is increased from side AC