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:
Step-by-step explanation:
Let's convert this statement into a system of two equations
3 * (cost of a liter of milk) + 5 * (cost of a loaf of bread) = $11
4 * (cost of a liter of milk) + 5 * (cost of a loaf of bread) = $10
cost of a liter of milk = x
cost of a loaf of bread = y
3x + 5y = 11
4x + 4y = 10
You can now solve this using either substitution or elimination
I'll use elimination. Let's say I want to get rid of the x first. I need to choose numbers to multiply by the top and bottom equations to eliminat the x's. The easiest way to do this is to multiply them by each other. So we'll multiply the top by 4 and the bottom by 3. We'll need to make sure the signs are opposite as well so I'll make that a negative 3 on the bottom.
4 * (3x + 5y = 11)
-3 * (4x + 4y = 10)
12x + 20y = 44
-12x - 12y = -30
Now add straight down
0x + 8y = 14
8y = 14
y = 14/8 = $1.75
Now we can plug this back in to either equation to find the x. I'll choose the second equation
4x + 4*(1.75) = 10
4x + 7 = 10
4x = 3
x = 3/4 = $0.75
So, cost of a liter of milk = x = $0.75
and cost of a loaf of bread = y = $1.75
The formula for the number of divisors (d) is
d = (m+1)(n+1)
where this number includes the values 1 and p^m*q^n
_____
This can be generalized to more or fewer prime factors. Add 1 to each of the exponents and form the product of those values.
Answer:
1. (AB) y = 2/3x + -4
Step-by-step explanation:
Formula - y = m(x) + (y-intercept)
m = rise / run
"run = horizontal (left and right)
rise = vertical (up and down)"
the y intercept is always going to be where y is 0 at. (x, y) you will use your x to determine the intercept
So lets use your first question as an example
1. (AB) y = m(x) + (y-int)
y = m(x) + (-4)
the point goes to the right 6 points and goes up 4 points (rise / run)
y = 4/6(x) + (-4)
You can round up the fraction to 2/3
y = 2/3(x) + -4
A = l × w
So, first you solve 49^3 and get 117,649 square inches. Then you divide that by 2 and get 58,824.5, because 58,824.5 × 2 is 117,649.
Your answer is: one patio side length is 58,824.5 inches long
