A lottery game has balls numbered 3 through 17. If a ball is selected at random, what is the probability of obtaining an odd numbered ball or the number 11 ball?

8/15

Step-by-step explanation:

The balls are numbered 3 through 17, so there are 17 − 3 + 1 = 15 balls.  8 of them are odd and 7 of them are even.

So the probability of an odd numbered ball (which includes the number 11 ball) is 8/15.

g(x) = x² + 2

step-by-step explanation:

it is given that the graphs are the same shape.

the only difference is that the red graph is 2 units higher than the blue graph.

that is to say that the red graph is simply the blue graph that has been moved vertically by 2 units in the positive y direction.

hence

g(x) = f(x) + 2

or

g(x) = x² + 2