Answer:
16
Step-by-step explanation:
20^2 - 12^2 =
400-144 =
256 = 16^2
use formula a^{2}+b^{2}=c^{2}
From the observation of the dispersion graph it is concluded that the answer to this question is option D. r = -0.5.
The correlation coefficient "r" is a measure of the linear relationship between two random variables.
When the correlation is positive, the value of "r" is between 0 and 1. This means that when one variable increases the other too.
When the correlation is negative, the value of "r" is between -1 and 0. This means that one variable decreases as the other increases.
When there is no correlation the value of "r" is 0
In this case, the dispersion chart shows that the variable "y" decreases as the variable "x" increases. Therefore the value of "r" must be negative. Of all the options, the only one that presents a value of negative r is option D:
r = -0.5
Heres the formula and steps
The answer is choice D) 4
(x/4) times 4 = x
You can think of it as
(1/4) times 4 = 1
1. It
takes 8 x 4 x 15 cubes, or 480 cubes with side lengths of ¼ inch. The
volume of the right rectangular prism is 480/64 = 7 ½ cubic inches or 2 x
1 x 3 ¾ = 7 ½ cubic inches.
2. It
takes 3 x 1 x 8 cubes, or 24 cubes with side lengths of ½ inch. The
volume of the right rectangular prism is 24/8 = 3 cubic inches or 1 ½ x ½
x 4 = 3 cubic inches.
3. It
takes 9 x 3 x 4 cubes, or 108 cubes with side lengths of ½ inch. The
volume of the right rectangular prism is 108/8 = 13 ½ cubic inches or 4 ½
x 1 1/2 x 2 = 13 1/2 cubic inches.
4. It
takes 3 x 2 x 8 cubes, or 48 cubes with side lengths of ¼ inch. The
volume of the right rectangular prism is 48/64 = ¾ cubic inches or ¾ x ½
x 2 = ¾ cubic inches.
5. It
takes 5 x 7 x 8 cubes, or 280 cubes with side lengths of ½ inch. The
volume of the right rectnagular prism is 280/8 = 35 cubic inches or 2 ½ x
3 ½ x 4 = 35 cubic inches.
