Answer:
This the formula for the Pythagorean Theorem.
Step-by-step explanation:
This is the formula for the Pythagorean Theorem but its written in a different way but it will give you the same answer.
So first you will be given two sides which will be represented as leg a and leg b.
So you would plug in the two numbers in the equation c = square root of 18^2 + 12^2
Now you would find 18^2 which equals 324
Then you would find 12^2 which equals 144
Add them together and get 468
To get what c equals or the hypotenuse you have to find the square root of 468.
The square root of 468 is 21.633 but you round it to the nearest tenth and get 21.6
Answer:
State space
![S=\{F,So,J,Sr,G,D\}](https://tex.z-dn.net/?f=S%3D%5C%7BF%2CSo%2CJ%2CSr%2CG%2CD%5C%7D)
Transition probability matrix
![\begin{bmatrix} & F & So&J&Sr&G&D\,\\ F &0.03&0.91&0&0&0&0.06\,\\So&0&0.03&0.91&0&0&0.06\\J&0&0&0.03&0.93&0&0.04\\ Sr&0&0&0&0.03&0.93&0.04\\G&0&0&0&0&1&0\\D&0&0&0&0&0&1\end{bmatrix}](https://tex.z-dn.net/?f=%5Cbegin%7Bbmatrix%7D%20%26%20F%20%26%20So%26J%26Sr%26G%26D%5C%2C%5C%5C%20F%20%260.03%260.91%260%260%260%260.06%5C%2C%5C%5CSo%260%260.03%260.91%260%260%260.06%5C%5CJ%260%260%260.03%260.93%260%260.04%5C%5C%20Sr%260%260%260%260.03%260.93%260.04%5C%5CG%260%260%260%260%261%260%5C%5CD%260%260%260%260%260%261%5Cend%7Bbmatrix%7D)
The transition graph is attached.
Step-by-step explanation:
The state space for this Markov chain is all the possible states that the variable can take.
In this case the student can be: Freshman, Sophomore, Junior, Senior, Graduate and Drop out
![S=\{F,So,J,Sr,G,D\}](https://tex.z-dn.net/?f=S%3D%5C%7BF%2CSo%2CJ%2CSr%2CG%2CD%5C%7D)
The transition probability matrix for this state space is:
![\begin{bmatrix} & F & So&J&Sr&G&D\,\\ F &0.03&0.91&0&0&0&0.06\,\\So&0&0.03&0.91&0&0&0.06\\J&0&0&0.03&0.93&0&0.04\\ Sr&0&0&0&0.03&0.93&0.04\\G&0&0&0&0&1&0\\D&0&0&0&0&0&1\end{bmatrix}](https://tex.z-dn.net/?f=%5Cbegin%7Bbmatrix%7D%20%26%20F%20%26%20So%26J%26Sr%26G%26D%5C%2C%5C%5C%20F%20%260.03%260.91%260%260%260%260.06%5C%2C%5C%5CSo%260%260.03%260.91%260%260%260.06%5C%5CJ%260%260%260.03%260.93%260%260.04%5C%5C%20Sr%260%260%260%260.03%260.93%260.04%5C%5CG%260%260%260%260%261%260%5C%5CD%260%260%260%260%260%261%5Cend%7Bbmatrix%7D)
The transition graph is attached.
Answer:
a. y= -5/2x -4
Step-by-step explanation:
An equation that is perpendicular to another equation must have the opposite slope. In other words, the perpendicular equation will be the opposite sign & the reciprocal of the equation it is perpendicular to. In this case, the perpendicular slope is -5/2x. Therefore, the only answer possible is a.
Your answer would be "If you are in Miami, then you are in Florida."
If this answer is incorrect, then I am sorry.
(Also this question belongs in the Ela section, not the mathematics)
Answer:
y=21 and x=45
Step-by-step explanation: