Answer:
The outcomes are given means
1H: the dice rolled into a 1, and the result of the coin flip is heads.
Then, the list will be:
1H, 2H, 3H, 4H, 5H, 6H, 1T, 2T, 3T, 4T, 5T, 6T
Where T means tails, H heads, and each number corresponds with one of the possible numbers of the dice.
You also can calculate the number of possible outcomes by multiplying the total outcomes of each experiment.
For the dice, we have 6 outcomes
for the coin, we have 2 outcomes.
From the coin and the dice at the same time, we have 6*2 = 12 outcomes, which coincides with the 12 possible outcomes listed above.
11.8333333333 is the answer. Just divide and you will get the same answr.
Answer:
IS NOT; ARE NOT
Step-by-step explanation:
Given: ![\[ \begin{bmatrix} \frac{1}{4} & \frac{1}{4}\\ \\-1 & \frac{-1}{2} \end{bmatrix}\]](https://tex.z-dn.net/?f=%5C%5B%20%20%5Cbegin%7Bbmatrix%7D%20%20%20%20%5Cfrac%7B1%7D%7B4%7D%20%26%20%5Cfrac%7B1%7D%7B4%7D%5C%5C%20%20%20%20%5C%5C-1%20%26%20%5Cfrac%7B-1%7D%7B2%7D%20%5Cend%7Bbmatrix%7D%5C%5D)
and ![\[A = \begin{bmatrix} \frac{1}{4} & \frac{1}{4} \\\\ -1 & \frac{-1}{2} \end{bmatrix}\]](https://tex.z-dn.net/?f=%5C%5BA%20%3D%20%20%5Cbegin%7Bbmatrix%7D%20%20%20%20%5Cfrac%7B1%7D%7B4%7D%20%26%20%5Cfrac%7B1%7D%7B4%7D%20%5C%5C%5C%5C%20%20%20%20-1%20%26%20%5Cfrac%7B-1%7D%7B2%7D%20%20%5Cend%7Bbmatrix%7D%5C%5D)
We say two matrices 
and 
are inverses of each other when 
where 
is the identity matrix.
![\[I = \begin{bmatrix} 1 & 0\\ 0 & 1 \end{bmatrix}\]](https://tex.z-dn.net/?f=%5C%5BI%20%3D%20%20%5Cbegin%7Bbmatrix%7D%20%20%20%201%20%26%200%5C%5C%20%20%20%200%20%26%201%20%20%5Cend%7Bbmatrix%7D%5C%5D)
So, for 
and to be inverses of each other, we should have 
.
Let us calculate 
.
![\[\begin{bmatrix} -2 & -1 \\ 8 & 2 \end{bmatrix}\]](https://tex.z-dn.net/?f=%5C%5B%5Cbegin%7Bbmatrix%7D%20-2%20%26%20-1%20%5C%5C%208%20%26%202%20%5Cend%7Bbmatrix%7D%5C%5D)
![\[\begin{bmatrix} \frac{1}{4} & \frac{1}{4} \\\\ -1 & \frac{-1}{2}\end{bmatrix}\]](https://tex.z-dn.net/?f=%5C%5B%5Cbegin%7Bbmatrix%7D%20%5Cfrac%7B1%7D%7B4%7D%20%26%20%5Cfrac%7B1%7D%7B4%7D%20%5C%5C%5C%5C%20-1%20%26%20%5Cfrac%7B-1%7D%7B2%7D%5Cend%7Bbmatrix%7D%5C%5D)
![\[\begin{bmatrix}\frac{1}{2} & 0 \\0 & 0 \end{bmatrix}\]](https://tex.z-dn.net/?f=%5C%5B%5Cbegin%7Bbmatrix%7D%5Cfrac%7B1%7D%7B2%7D%20%26%200%20%5C%5C0%20%26%200%20%5Cend%7Bbmatrix%7D%5C%5D)
This is clearly not equal to the identity matrix. So we conclude that the matrices are not inverses of each other.
Answer:
x= 52
Step-by-step explanation: you have a 90 degree angle the other side would be 90 also. you take 90 and subtract 38 to get the missing value?
The answer is 1/2. Is it right?
