Involving the selection of rats from a cage. assume that there are 6 rats in the cage: 3 trained and 3 untrained. a rat is removed from the cage and it is noted whether or not it is trained. it is then placed in a different cage. 4 more rats are removed and treated the same way. (1) which of the following is not a valid outcome for this experiment? a. uuutu ob. uuttu c. tutut d. tutuu (2) how many outcomes are possible for this experiment? (note: the tevthnok's versinn. of this nmhiem was solved on the finite show, you can view the streaming video of this solution at tfs solution.

1) UUUTU

2) 20 possible outcomes.

Step-by-step explanation:

We have 3 trained rats (T) and 3 untrained cats (U).

1) Which of the following is not a valid outcome?

a) UUUTU is not a valid outcome because we can only have 3 U's at most.

2) How many outcomes are possible for this experiment?

We have to choose 5 rats, at the end we're going to have either 3 trained and 2 untrained (TTTUU) or 3 untrained and 2 trained (TTUUU)

To help with this, we can make a decision tree, which can be observed below.

From the image we can tell that there are 20 possible outcomes for this experiment.

answer:   (s+1)(s+4)

step-by-step explanation:

factor s2+5s+4

s2+5s+4

=(s+1)(s+4)

an = 22 + (n-1) *6

110 seats

step-by-step explanation:

an=a1+(n-1)(d)

a1 = 22   this is the first item in the sequence

d =6   this is how the sequence goes up

a)   an = 22 + (n-1) *6

b) a12 = 22 + (12-1) *6

    a12 = 22+11*6

  a12 = 22 +88

  a12 = 110