In a laboratory experiment, three mice will be placed in a simple maze that has just one decision point where a mouse
can turn either left (L) or right (R). When the first mouse arrives at the decision point, the direction he chooses is
recorded. The same is done for the second and the third mouse.
1. Draw a tree diagram where the first stage represents the decision made by the first mouse, the second stage
represents the decision made by the second mouse, and so on. Determine all eight possible outcomes of the
decisions for the three mice.

a. -0.3 > -0.33

dc=6 square root of 3 and ac is 12 square root 3

c and d

step-by-step explanation:

square root of 3/2 = 18/c

cross multiply to get 18*2=√3*c

36/√3 * √3/√3 = c

c= 36*√3/3

c=12√3

answer: about 22.67

step-by-step explanation:

, and

for

step-by-step explanation:

we can analyze the pattern at which the terms increase. let us denote , , , so that we can call

note the following:

the pattern: to get the next term value, we just add the next term number (e.g. 1st, 2nd, to the previous term value (term values are the given numbers in the question, 1, 3, 6, 10, 15,

from , to get to , we add

from , to get to , we add

etc.

we need to form a recursive formula, a formula that has the next term as a function of the previous term. so a possible recursive formula can be

, and for