Answer:
![\left[\begin{array}{ccc}\dfrac{1}{2} &\dfrac{1}{2}\\\\\dfrac{1}{4}&\dfrac{3}{4}\end{array}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D%5Cdfrac%7B1%7D%7B2%7D%20%26%5Cdfrac%7B1%7D%7B2%7D%5C%5C%5C%5C%5Cdfrac%7B1%7D%7B4%7D%26%5Cdfrac%7B3%7D%7B4%7D%5Cend%7Barray%7D%5Cright%5D)
Step-by-step explanation:
Let 1 = Sorey State, and 2 = C&T
Half the owners of Sorey State Boogie Boards became disenchanted with the product and switched to C&T Super Professional Boards the next surf season.
- This means half moved from State 1 to State 2.
Three quarters of the C&T Boogie Board users remained loyal to C&T, while the rest switched to Sorey State.
- The rest
moved from State 2 to State 1.
The Markov Transition Matrix is presented below:
![\left\begin{array}{ccc}\\\\\\$Sorey State&1\\\\C\&T&2\end{array}\right\left[\begin{array}{ccc}$Sorey State&C\&T\\1&2\\------&------\\\dfrac{1}{2} &\dfrac{1}{2}\\\\\dfrac{1}{4}&\dfrac{3}{4}\end{array}\right]](https://tex.z-dn.net/?f=%5Cleft%5Cbegin%7Barray%7D%7Bccc%7D%5C%5C%5C%5C%5C%5C%24Sorey%20State%261%5C%5C%5C%5CC%5C%26T%262%5Cend%7Barray%7D%5Cright%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D%24Sorey%20State%26C%5C%26T%5C%5C1%262%5C%5C------%26------%5C%5C%5Cdfrac%7B1%7D%7B2%7D%20%26%5Cdfrac%7B1%7D%7B2%7D%5C%5C%5C%5C%5Cdfrac%7B1%7D%7B4%7D%26%5Cdfrac%7B3%7D%7B4%7D%5Cend%7Barray%7D%5Cright%5D)
The above is presented for clarity sake. The transition matrix is:
She has 445 left after the bear ate some so
21 × 12 = 252
252 + 445 = 697 acorns
she should maybe bother the bear so he can't hibernate, or steal his food so he knows what it's like
Answer:
120 different ways
The total number of ways to do this is the product because of the fundamental counting principle[1]. So 5x4x3x2x1 = 5! (read as “5 factorial”[2]) = 120 different ways to line up those 5 people. Five people lining up essentially means 5 people sorting into 5 positions.
Answer: x squared over 30 plus y squared over 5 equals 1
Step-by-step explanation:
- i graphed all of them, i can’t really explain it and you need the answer now so yeah
anyways hope this helps :)
Part A: 90*
Part B: at approximately (6,4)
