Say a business found that 98.3% of soda cans at a production facility in california are filled correctly. the company chooses 100 juice cans off the production line at that same facility. what assumption must be made for this study to follow the probabilities of a binomial experiment?

The events must be independent.

Step-by-step explanation:

The only assumption that must be made is that the events are independent. That is, the amount of soda in a given can does not depend on the amount of soda of any previous can filled at the same facility.

If this assumption holds, then the probability of finding exactly k cans of soda filled correctly would be

where

are combinations of 100 elements taken k at a time.

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".