Scalene triangle: a triangle where all the sides are different and all the angles are different.
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:
Answer::MERRY CHRISTMAS TO U TO !!!❄️
Step-by-step explanation:
Answer:
k = - 2
Step-by-step explanation:
( 2x - y )²
Formula : -
( a - b )² = a² + b² - 2ab
Here,
a = 2x
b = y
( 2x - y )²
= ( 2x )² + y² - 2 ( 2x ) ( y )
= 4x² + y² - 4xy
So,
( 2x - y )² = 4x² + y² - 4xy
( 2x + y )²
Formula : -
( a + b )² = a² + b² + 2ab
Here,
a = 2x
b = y
( 2x + y )²
= ( 2x )² + y² + 2 ( 2x ) ( y )
= 4x² + y² + 4xy
So,
( 2x + y )² = 4x² + y² + 4xy
( 2x - y )² - ( 2x + y )²
= 4x² + y² - 4xy - ( 4x² + y² + 4xy )
= 4x² + y² - 4xy - 4x² - y² - 4xy
= 4x² - 4x² + y² - y² - 4xy - 4xy
= 0 + 0 - 8xy
= - 8xy
( 2x - y )² - ( 2x + y )² = 4xyk
- 8xy = 4xyk
Divide 4xy on both sides,
- 8xy / 4xy = 4xyk / 4xy
- 2 = k
k = - 2
Therefore, the value of k is - 2.
For a, we have 42in/9ft. Since 12 inches are in 1 foot, we can multiply it by that to get (42in/9ft)*(1ft/12inches) = 42/108. We put the foot on the top of 1ft/12in to cancel them out. Since 2 goes into both 42 and 108, we divide it by 2/2 to get 26/54. Repeating the process again, we get 13/27
If we were to say that there are 12 inches in a foot and therefore divide 42 by 12 (to get 42 inches in feet), we'd get the same answer due to that 1 foot is equal to 12 inches and if you were to divide it by 1 foot/12 inches, since they are the same thing, you get the same answer
For c, since it may be hard to get (42/12)/9, it could just be easier to have 42/(9*12)=42/108
