A. If a spinner is spun twice, are the events independent or not independent? Justify

If the spinner lands on one event, and it affects the probability of the other. Then it will be dependent. If the spinner lands on one of it and it does NOT effect the other event then it will be independent.

Look at the options and decide whether the choices may effect the other. If there are no options, then choose DEPENDENT because more than likely either choice will effect the outcome.

First you learned (back in grammar school) that you can add, subtract, multiply, and divide numbers. Then you learned that you can add, subtract, multiply, and divide polynomials. Now you will learn that you can also add, subtract, multiply, and divide functions. Performing these operations on functions is no more complicated than the notation itself. For instance, when they give you the formulas for two functions and tell you to find the sum, all they're telling you to do is add the two formulas. There's nothing more to this topic than that, other than perhaps some simplification of the expressions involved.