Answer:
4/3
Step-by-step explanation:
A proportional relationship is a relationship that crosses through the origin or (0,0). This means the slope of the line can be found by subtracting the points (12,16) and (0,0) in the slope formula.

So the slope is 4/3 and must be the value between any two points on the line.
This means the function moves from (0,0) to (1, 4/3).
Answer:
x = -5/7
Step-by-step explanation:
8 1
---------- = ----------
x+3 x+1
Using cross products
8 (x+1) = 1 (x+3)
Distribute
8x+8 = x+3
Subtract x from each side
8x-x +8 = x-x+3
7x+8 =3
Subtract 8 from each side
7x +8-8 =3-8
7x = -5
Divide each side by 7
7x/7 = -5/7
x = -5/7
Might be terribly wrong since it's been a while that I've done fractions, but I got -11/20. Hope this helps!!!
Answer: Using Chi-square.
Step-by-step explanation: To check if the provided data show any differences in preference for the two detergents (i.e., two variables), a Chi-square can be deployed, as it is used to test the goodness of fit, and test if two variables are related.
If the value obtained is less than 0.05, it means that there is statistical difference between the preference for the two detergents.
However, if the obtained value is higher than 0.05, it translates that there is no statistical difference between the preference for the two detergents.