Anthony surveys a group of students at his school about whether they play a sport. This table shows the results broken down by gender.
Play a sport
Total
Do not play a
sport
Boys
95
45
140
Girls
76
59
135
Total
171
104
275
Are being a girl and playing a sport independent events? Why or why not?
w
O A. No, they are not independent, because P(girl) = 0.49 and
P(girl plays a sport) = 0.62
O B. No, they are not independent, because P(girl) = 0.49 and
P(girl plays a sport) = 0.44
O C. Yes, they are independent, because P(girl) = 0.49 and P(girl plays
a sport) = 0.44
O D. Yes, they are independent, because A(girl) 0.49 and P(girl plays
a sport) = 0.62

345

step-by-step explanation:

the solution is the point

step-by-step explanation:

we have

> equation a

> equation b

adds equation a and equation b

substitute the value of x in equation b to find the value of y

the solution is the point

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:

solve systems of equations by graphing. a system of linear equations contains two or more equations e.g. y=0.5x+2 and y=x-2. the solution of such a system is the ordered pair that is a solution to both equations. to solve a system of linear equations graphically we graph both equations in the same coordinate system