Which of the following are mutually exclusive events? choose all that apply.
-being a girl and playing soccer
-being in california and being in florida
-being 5 years old and playing professional football
-being short and playing basketball
-being tall and playing football

Option 2 and option 3 are mutually exclusive events.

Step-by-step explanation:

Given some events. we have to find the mutually exclusive events from the given events.

Two events said to be mutually exclusive if they cannot both occur at the same time or we can say their intersection is

First option: being a girl and playing soccer

The above event can be possible it is not necessary that their intersection is 0. A girl can play soccer ∴ not mutually exclusive

Second Option: being in California and being in Florida

The above event is mutually exclusive ∵ these two cannot occur at the same time i.e the person either in California or in Florida.

Third Option: being 5 years old and playing professional football.

The above event is mutually exclusive ∵ being 5 yrs not play professional football.

Fourth and fifth Option: being short and playing basketball, being tall and playing football

The above events are not mutually exclusive being short or being tall can play basketball and football i.e their intersection can not be

Hence, option 2 and option 3 are mutually exclusive events.

choice b is correct

step-by-step explanation:

we have been given the following system of inequalities;

we are required to graph the solution to the system of inequalities. using a graphing tool, the graph of the system is as shown in the attachment. the continuous line represents the graph of while the dotted line represents .