Answer:
Consider a regression analysis, where the correlation coefficient is 0.18. Then, the coefficient of determination is 0.0324.
Step-by-step explanation:
The correlation coefficient r is a numerical measure that gives information about the correlation between two variables. In this case it has a value of 0.18, that tells us there is a weak positive relation between the two variables.
The coefficient of determination r² can be calcualted squaring the value of the correlation coefficient. In this case, the coefficient of determination has a value of:
Answer:
Bianca's height = 42 inches
Step-by-step explanation:
Let x be the Bianca height.
Given:
Meredith height = 60 inches
We need to find the Bianca height.
Solution:
From the given statement the Meredith's height is of Bianca's height plus 32 inches, so the equation is.
Meredith's height =
Substitute Meredith's height in above equation.
Now we solve the above equation for x.
By cross multiplication.
28 divided by 2.
Therefore, the height of the Bianca is 42 inches.
Given:
The volume of a cube-shaped box is cubic meter.
To find:
The perimeter of each of its faces.
Solution:
Let "a" be the side length of the cube shaped box. Then the volume of the box is:
It is given that the volume of a cube-shaped box is cubic meter.
Taking cube root on both sides, we get
Now, the perimeter of each face of a cube is:
Where, a is the side length of the cube.
Putting , we get
Therefore, the perimeter of each face of a cube-shaped box is 2 meters.