Preston teaches at an international school. After reading an article about the distribution of the world's population by continent, he wanted to test if the distribution of students in his school was similar. He collected information about all 320 students in his school. Here are the results: Preston wants to perform x^2 goodness-of-fit test to determine if these results suggest that the distribution of students doesn't match the reported distribution.
What is the expected count of students from Australia in Preston's group?

Since there are 320 students, and Preston expects 0.5% of them to be from Australia, the expected count of students from Australia is 0.005 (320) =1.6

The expected count students from Australia is 1.6.

Step-by-step explanation:

10x

step-by-step explanation:

the greatest common factor 30 and 20 is 10

5 is a common factor of 30 and 20 but 10 is also a factor and 10 is greater than 5 so 5 will definitely not be apart of our answer

now the most amount of x's you factor our is just 1 factor of 1

so 10x the gcf of the terms in the polynomial

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: