Customers in a coffee shop were asked if they prefer caffeinated or decaffeinated coffee and if they prefer
their coffee with or without milk. The results are
displayed below.
Based on the graph, is there an association between
the type of coffee and milk preference?
Coffee Preferences

O There is an association because the distribution of
milk preference differs among the types of coffee.
There is an association because the distribution of
milk preference is the same among the types of
coffee.
There is no association because the distribution of
milk preference differs among the types of coffee.
There is no association because the distribution of
milk preference is the same among the types of
coffee.

when rotating a figure 180 degrees, imagine that you are able to take the figure and turn it clockwise or counterclockwise around a center point. to rotate a figure 180 degrees, you will need to apply the rule (x, y) → (-x, -y). start by using a coordinate grid with coordinates for each vertex of the figure. the center point of the coordinate grid is located at (0, 0), which is what you will rotate the figure around. write down the original coordinates of the shape you are going to rotate. then, apply the rule. for example, coordinate (1, 2) becomes (-1, -2). another example would be, coordinate (-4, -2) becoming (4, 2). after you change each original coordinate to the rotated coordinate, you will draw your new figure.

step-by-step explanation: