There are 3 red marbles, 2 green marbles, and 5 blue marbles in a bag. Which of the following are true? The probability of randomly drawing a red marble and then a green marble is . The probability of randomly drawing either a red marble or a green marble is . The probability of not drawing a blue marble is 50%. The probability of drawing a blue marble is the same as drawing either a red or a green marble.

1

9

3 red

2 blue

5 green

Total

3

+

2

+

5

=

10

Probability of blue is

2

10

Second condition:

3 red

1 blue

5 green

New total

3

+

1

+

5

=

9

Probability of green is

5

9

Total probability of selecting this path is:

2

10

×

5

9

=

2

9

×

5

10

=

2

9

×

1

2

=

1

9

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:

twenty-six miles over two gallons because the proportion for the original 13 miles to one gallon would be written 13/1 and, doing the same thing to the top and bottom, i multiplied by 2 and got 26/2