Answer: <em>r</em> represents a significant linear correlation.
Step-by-step explanation:
GIven : Linear correlation coefficient: r = 0.543
Sample size: n= 25
Significance levle: 
Degree of freedom : n-2 = 25-2=23
Now, we check <em>r</em> critical value table for value with df = 23 and .
Critical value = ±0.396 [From <em>r</em> critical value table]
Since r = 0.543 > 0.396, that means there is significant linear correlation.
Hence, <em>r</em> represents a significant linear correlation.
Answer:
x=5 and y=8
Step-by-step explanation:
Find x:
3x - 2 = x + 8
-x -x
2x - 2 = 8
+2 +2
2x = 10
---- ----
2 2
x = 5
Find y:
6y - 7 = y + 33
-y -y
5y - 7 = 33
+7 +7
5y = 40
---- -----
5 5
y = 8
I’m pretty sure the second questions answer is y=3x+2
Answer:
(-7,4)
Step-by-step explanation:
goal: (y-k)^2=4p(x-h)
y^2-8y=4x+12 Rearranged and added 4x and 12 on both sides
y^2-8y+(-8/2)^2=4x+12+(-8/2)^2 complete square time (add same thing on both sides)
y^2-8y+(-4)^2=4x+12+(-4)^2 (simplify inside the squares)
(y-4)^2=4x+12+16 (now write the left hand side as a square)
(y-4)^2=4x+28
(y-4)^2=4(x+7) factored...
vertex is (-7,4)
11/12
Because if you do 1-1/12 or 12/12-1/12 it will give you 11/12 you can check by adding 11/12+1/12
