2.6.12 Similar to the hospital schedule in Example 2.9, suppose that an operating room needs to schedule three knee, four hip, and five shoulder surgeries. Assume that all schedules are equally likely. Determine the following probabilities: a. All hip surgeries are completed first given that all knee surgeries are last. b. The schedule begins with a hip surgery given that all knee surgeries are last. c. The first and last surgeries are hip surgeries given that knee surgeries are scheduled in time periods 2 through 4. d. The first two surgeries are hip surgeries given that all knee surgeries are last.

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".

ok

step-by-step explanation: