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:
![\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)
Answer:
5
Step-by-step explanation:
you do 50 divided by 10 wich equals 5
The answer would be -10p64q^1
since -10^3(p^4)^3 (q^1)^3 is -1000p^12q^3
Answer:
31 scientific calculators
54 graphing calculators
Step-by-step explanation:
X = number of $15 calculators
Y = number of $67 calculators
X+Y = 85 then X = 85-Y
15X+67Y = 4083
substitute for X
15(85-Y)+67Y = 4083
1275 - 15Y + 67Y = 4083
reduce
52Y = 2808
Y = 54
X = 31
Answer:
-71-10n
Step-by-step explanation:
-4(11+4n)-3(-2n+9)
-44-16n+6n-27
-44-27-10n
-71-10n