Answer:
A
Step-by-step explanation:
To answer this, look at one specific point for example, A. It is at the point (3,6). In order for this point to get to where it was moved to, you must rotate it counterclockwise () 90 degrees. Do this by changing the initial point from (x,y) to (-y,x). This is located at (-6,3). Then you can see that it was translated 2 units up from there.
I hope this helped.
Answer:
C
Step-by-step explanation:
Answer: 
Step-by-step explanation:
General equation of ellipse :
Given: Vertices of ellipse : (± 9,0)
Since the vertices are of the form (± a, 0).
i.e. a=9
Thus, the major axis is along x-axis.
Also, foci of the ellipse = (±5,0)
Since, foci is of the form (± c,0), i.e. c=5
Since

Equation of ellipse :

Hence, the required equation : 
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.