Suppose two dice (one red, one green) are rolled. consider the following events. a: the red die shows 1; b: the numbers add to 4; c: at least one of the numbers is 3; and d: the numbers do not add to 9. express the given event in symbolic form. hint [see example 5.]
either the numbers add to 9 or the red die shows a 1.
d ∩ b
d ∩ a
d' ∪ a
d' ∩ a
d' ∪ b
how many elements does it contain?

Third option is correct.

Step-by-step explanation:

Since we have given by

Event A: the red die shows 1

Event B :  the numbers add to 4

Event C: at least one of the numbers is 3

Event D : the numbers do not add to 9.

D' means the number add to 9.

We need to write the following statement in symbolic form:

Either the numbers add to 9 or the red die shows a 1.

So, it becomes,

Number of elements in D'∪A = 1.

Hence, Third option is correct.

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: