The answer is 11 thank you for your time
Answer: -2x+3y = 21 which is choice C
============================================
Work Shown:
The slope of the original line is -3/2. The perpendicular slope is 2/3. We flip the fraction and flip the sign. Multiplying the original slope (-3/2) and the perpendicular slope (2/3) will result in -1. Let's use this perpendicular slope and the point to find the equation of the perpendicular line in slope intercept form.
y = m+b
y = (2/3)x+b .... plug in the perpendicular slope
9 = (2/3)(3)+b .... plug in the point (x,y) = (3,9)
9 = 2+b
9-2 = 2+b-2 ... subtract 2 from both sides
b = 7
So y = (2/3)x+b turns into y = (2/3)x+7.
This equation is in slope intercept form.
---------------------------
Let's convert to standard form
y = (2/3)x+7
3*y = 3*((2/3)x+7) ... multiply both sides by 3 to clear out the fraction
3*y = 3*(2/3)x+3*7 ... distribute
3y = 2x+21
-2x+3y = 21 .... get the x term to the other side (subtract 2x from both sides)
I uploaded the answer to a file hosting. Here's link:
tinyurl.com/wpazsebu
Answer:
- the sample mean is 44
- the sample standard deviation is 12.35
Step-by-step explanation:
given information:
data, 
= 36.45, 67.90, 38.77, 42.18, 26.72, 50.77, 39.0, 50.23
the number of data, n = 8
the sample mean, xbar
xbar = ∑/n
= (36.45+67.90+38.77+42.18+26.72+50.77+39.0+50.23)/8
= 352.08/8
= 44
standard deviation, s
s = 
= 
= 
= 12.35
