On a field trip, there is a 55% chance of kids having pizza for lunch, a 20% chance of kids having tacos for lunch and a 11% chance of kids having pizza and tacos together for lunch. Are the two events "kids eating pizza" and "kids eating tacos" independent? Justify your answer.

Event A is having pizza for lunch and B having tacos for lunch. Since , these two events are independent.

Step-by-step explanation:

Two events, A and B are independent, if:

In this problem:

Event A: having pizza for lunch.

Event B: having tacos for lunch.

55% chance of kids having pizza for lunch

This means that

20% chance of kids having tacos for lunch

This means that

11% chance of kids having pizza and tacos together for lunch.

This means that

So

Event A is having pizza for lunch and B having tacos for lunch. Since , these two events are independent.

step-by-step explanation:

how many centimeters did the level of the salsa go down by?

he used the algebra tiles correctly.

step-by-step explanation:

given : 3x(2x-1)

solution :

since he used algebra tiles .

armando's solution is the same in the solution shown in figure

as he distributed 2x into x and x and wrote them vertically

and also write   -1 vertically

and 3x into x and x and x and wrote it horizontally

performing the multiplication in the algebra tiles we get

and solving the given expression :

3x(2x-1)

since solving the expression using tiles   and solving the expression algebraically we get the same answer

thus   we can choose the first statement as the answer to this problem which is "he used the algebra tiles correctly".