8.5^2=4^2 + x^2
72.25=16 + x^2
56.25 = x^2
x= 7.5
Answer:
r² = 0.5652 < 0.7 therefore, the correlation between the variables does not imply causation
Step-by-step explanation:
The data points are;
X, Y
0.7, 1.11
21.9, 3.69
18, 4
16.7, 3.21
18, 3.7
13.8, 1.42
18, 4
13.8, 1.42
15.5, 3.92
16.7, 3.21
The correlation between the values is given by the relation
Y = b·X + a
Where;
N = 10
∑XY = 499.354
∑X = 153.1
∑Y = 29.68
∑Y² = 100.546
∑X² = 2631.01
(∑ X)² = 23439.6
(∑ Y)² = 880.902
From which we have;
r² = 0.5652 which is less than 0.7 therefore, there is a weak relationship between the variables, and it does not imply causation.
Take the 4 thru the parentheses for -12y+8x then group like terms for -12y-6y=-18y 2x+8x=10x to give you a new expression of 10x-18y
Answer:
5/24
Step-by-step explanation:
Start with the first part of the probelm 5/6 - 2/3
You need to find a common denominator of 6 and 3
common denominator= 6
so change 2/3 to 4/6
now you can subtract the top values
5/6-4/6
5-6=1
keep the denominator the same
= 1/6
Now divide 1/6 by 4/5
to divide you are going to multiply by the reciprocal so instead of 4/5 we are going to flip it to 5/4
1/6 x 5/4
5x1=5 and 6x4=24
= 5/24
Answer:
-8
Step-by-step explanation:
(7)*(-8) = -56
(-56) - (-8) = -48