Answer:
it may as well stay same or not move because of two equal forces acting on it
Step-by-step explanation:
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;
![r = \dfrac{N\sum XY - \left (\sum X \right )\left (\sum Y \right )}{\sqrt{\left [N\sum X^{2} - \left (\sum X \right )^{2} \right ]\times \left [N\sum Y^{2} - \left (\sum Y \right )^{2} \right ]}}](https://tex.z-dn.net/?f=r%20%3D%20%5Cdfrac%7BN%5Csum%20XY%20-%20%5Cleft%20%28%5Csum%20X%20%20%5Cright%20%29%5Cleft%20%28%5Csum%20Y%20%20%5Cright%20%29%7D%7B%5Csqrt%7B%5Cleft%20%5BN%5Csum%20X%5E%7B2%7D%20-%20%5Cleft%20%28%5Csum%20X%20%20%5Cright%20%29%5E%7B2%7D%20%5Cright%20%5D%5Ctimes%20%5Cleft%20%5BN%5Csum%20Y%5E%7B2%7D%20-%20%5Cleft%20%28%5Csum%20Y%20%20%5Cright%20%29%5E%7B2%7D%20%5Cright%20%5D%7D%7D)
r² = 0.5652 which is less than 0.7 therefore, there is a weak relationship between the variables, and it does not imply causation.
Answer:100
Step-by-step explanation: 10 x 10000 = 100000 x 10 = 1000000. If we multiply 100 x 10000, we got 1 million
Answer: 13 feet
Step-by-step explanation: You are given that the perimeter, P, of the rectangle is 42 meters (i.e., P = 42). Also, the length, L, of the rectangle is 3 meters less than 2 times the width, W (i.e., L = 2W - 3).
Recall that the perimeter, P, of a rectangle is given by the following formula:
P = 2W + 2L
Substituting 2W - 3 for L, we arrive at the following:
P = 2W + 2(2W - 3)
P = 2W + 2·2W + 2·-3
P = 2W + 4W - 6
P = 6W - 6
Since we were given that P = 42, then
42 = 6W - 6
42 + 6 = 6W - 6 + 6
48 = 6W
48/6 = 6W/6
8 = W
Therefore, the width of the rectangle is 8 meters. Use this value to solve for the length:
L = 2W - 3
L = 2·8 - 3
L = 16 - 3
L = 13
