"-the time people spend at work and the number of friends they have"
would be "causation"; because the more/less time someone spends at work is implied to be the *cause* of their number of friends.
"-the length of a person's hair and his or her math skills"
would be "no relationship" seeing as there's nothing that relates these two variables that could have an affect on the outcome of one or the other.
<span>"-a student's test scores in math and physics" would be "correlation" because the two subjects are similar enough that any outcome in one could very well be similarly related to the outcome in the other. </span>
C. Cube
__________________________________________
Answer:
<em>-26 or 14</em>
Step-by-step explanation:
Given that
Coordinate of point A is -6.
Length of AB = 20
To find:
Coordinates for the point B = ?
Solution:
We are given that:
AB = 20
In other words, we can use modulus function to define the distance between A and B:
|Coordinates of B - Coordinates of A| = 20
Let the coordinates of B = ![x](https://tex.z-dn.net/?f=x)
Kindly refer to the attached image for the given situation.
Point B might be either on the left or on the right side of A.
That means:
![|x-(-6)| = 20\\\Rightarrow |x+6|=20](https://tex.z-dn.net/?f=%7Cx-%28-6%29%7C%20%3D%2020%5C%5C%5CRightarrow%20%7Cx%2B6%7C%3D20)
Now, let us have a look at the modulus function:
![|y|=\left \{ {-{y}\ if\ y0} \right.](https://tex.z-dn.net/?f=%7Cy%7C%3D%5Cleft%20%5C%7B%20%7B-%7By%7D%5C%20if%5C%20y%3C0%20%5Catop%20%7By%7D%5C%20if%5C%20y%3E0%7D%20%5Cright.)
So,
![|x+6|=\left \{ {-{(x+6)}\ if\ (x+6)0} \right.](https://tex.z-dn.net/?f=%7Cx%2B6%7C%3D%5Cleft%20%5C%7B%20%7B-%7B%28x%2B6%29%7D%5C%20if%5C%20%28x%2B6%29%3C0%20%5Catop%20%7B%28x%2B6%29%7D%5C%20if%5C%20%28x%2B6%29%3E0%7D%20%5Cright.)
![(x+6 ) =20\\\Rightarrow x =14](https://tex.z-dn.net/?f=%28x%2B6%20%29%20%3D20%5C%5C%5CRightarrow%20x%20%3D14)
![-(x+6 ) =20\\\Rightarrow x =-26](https://tex.z-dn.net/?f=-%28x%2B6%20%29%20%3D20%5C%5C%5CRightarrow%20x%20%3D-26)
Therefore, the answer is:
<em>-26 or 14</em>
15/20 = 0.75
Each of the gift boxes will get 3/4 yard of ribbon. (.75)
The first one should be the third option and the second one should be the first one.