Answer:
?
Step-by-step explanation:
Answer: y = -4x + 1 or y = 1 - 4x
Step-by-step explanation:
First, we have to find the slope of the perpendicular. The slope of the line perpendicular to the other is the <u>reciprocal and opposite value</u> of the other line's slope.
This means that the slope perpendicular to y = 1/4x + 2 is -4, or -4/1.
Now we need to find the y-intercept, to do that we will use the equation y = mx + b. m = slope, b = y-intercept.
Plug in the values.
1 = -4(0) + b
Simplify.
1 = 0 + b
1 = b
Our y-intercept is 1.
Now we can form the slope-intercept equation for the line perpendicular to y = 1/4x + 2 that passes through the point (0, 1).
y = -4x + 1
Answer:
x = 97
Step-by-step explanation:
Question 2:
Recall that, the sum of all 4 angles in a quadrilateral = 360°.
This means that all the interior angles of the quadrilateral given above would sum up to 360°.
To find the value of x, create an equation by adding all the interior angles and set the sum equal to 360°.
Thus:
(x + 10) + x + 59 + x = 360°
Add like terms
3x + 69 = 360
3x + 69 - 69 = 360 - 69
3x = 291
3x/3 = 291/3
x = 97
Z = (x - mean) / SD = (79 - 70) / 3 = 3
<span>P (Z > 3)? = 1 - F (z) = 1 - F (3) = 0.00135</span>
