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:
Proportion states that the two ratios or fractions are equal
Given the statement:
The scale on map is 2 cm =25 miles.
Dave measured the distance to the next town at 5 cm.
We have to find the what miles away is the next town.
Let x be the distance in miles away is the next town.
By definition of proportion:

By cross multiply we get;

Simplify:

Divide both sides by 2 we get;
x = 6.25 miles
Therefore, 6.25 miles away is the next town.
To find the area of a shape, in this case a square, you have to multiply the length and width. to find one of the sides, since this is a square, you can just find the square root of 121, which is 11. Ans. L: 11 W:11
hope this helps :)
Answer:
The number of fours divided by the total number of possibilities. If there are two fours and 8 spaces, the probability is 2/8 = 1/4.Step-by-step explanation:
15 bracelets because 21 minutes are taken to make a bracelet and she has 315 minutes to make bracelets so divide 315 by 21 and u get 15