Approximate the solution of the system to the nearest thousandth.

F 5y - 8 < 12, what is the maximum possible value of 10y ?

DedPeter [7]

Answer: 30 is the maximum possible value of y

6 0

3 years ago

A market survey shows that half the owners of Sorey State Boogie Boards became disenchanted with the product and switched to C&a

OlgaM077 [116]

Answer:

$\left[\begin{array}{ccc}\dfrac{1}{2} &\dfrac{1}{2}\\\\\dfrac{1}{4}&\dfrac{3}{4}\end{array}\right]$

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 $(1-\frac{3}{4}= \frac{1}{4})$ 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}$Sorey State&C\&T\\1&2\\------&------\\\dfrac{1}{2} &\dfrac{1}{2}\\\\\dfrac{1}{4}&\dfrac{3}{4}\end{array}\right]$

The above is presented for clarity sake. The transition matrix is:

$\left[\begin{array}{ccc}\dfrac{1}{2} &\dfrac{1}{2}\\\\\dfrac{1}{4}&\dfrac{3}{4}\end{array}\right]$

5 0

3 years ago

Determine whether LINE AB and LINE CD are parallel, perpendicular, or neither. A(−1, −4) , B(2, 11) , C(1, 1) , D(4, 10) ( write

Luba_88 [7]

Step-by-step explanation:

Hey there!

The points of line AB are; (-1,-4) and (2,11).

Note:

Use double point formula and simplify it to get two eqaution.
Use condition of parallel lines, perpendicular lines to know whether the lines are parallel or perpendicular or nothing.