Answer:
1st option
Step-by-step explanation:
To find the difference of the given matrices, we just need to subtract the corresponding elements of the two matrices as shown below:
![\left[\begin{array}{cc}-4&8\\3&12\end{array}\right] -\left[\begin{array}{cc}2&1\\-14&15\end{array}\right] \\\\ \\ =\left[\begin{array}{cc}-4-2&8-1\\3-(-14)&12-15\end{array}\right]\\\\ \\ =\left[\begin{array}{cc}-6&7\\17&-3\end{array}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bcc%7D-4%268%5C%5C3%2612%5Cend%7Barray%7D%5Cright%5D%20-%5Cleft%5B%5Cbegin%7Barray%7D%7Bcc%7D2%261%5C%5C-14%2615%5Cend%7Barray%7D%5Cright%5D%20%5C%5C%5C%5C%20%5C%5C%20%3D%5Cleft%5B%5Cbegin%7Barray%7D%7Bcc%7D-4-2%268-1%5C%5C3-%28-14%29%2612-15%5Cend%7Barray%7D%5Cright%5D%5C%5C%5C%5C%20%5C%5C%20%3D%5Cleft%5B%5Cbegin%7Barray%7D%7Bcc%7D-6%267%5C%5C17%26-3%5Cend%7Barray%7D%5Cright%5D)
Thus, 1st option gives the correct answer
Answer: y=36 degrees
Step-by-step explanation: the exterior angle of a triangle is equal to the sum of the two remote interior angles of a triangle. using this, you can subtract 98 from 134 degrees to find your answer. 134-98 is 36 degrees. Hope this helps :)
Answer:
1
Step-by-step explanation:
Mode is 1 as 1 has repeated the most number of times
Answer: His total rental cost will be $164.75.
Step-by-step explanation:
Since we have given that
Cost of per day = $30
Cost of per mile after the first 100 miles = $0.65
According to question, he was travelling 215 miles in 3 days.
So, it becomes,

Hence, his total rental cost will be $164.75.
Answer:
Recall that probability is given as; the number of required outcome over the number of total possible outcome.
The probability that a transmitter receives the signal being sent by itself is given as
.
when there are n transmitters, the probability will be given as 
Step-by-step explanation:
Probability simply the likelihood of an event occurring or not occurring.
Probability therefore is given as; the number of required outcome over number of possible outcome.
In the case of the first part above we have the number of required outcome to be at least one divided by the number of possible outcome which is 3.
while in the second part we have the number o possible outcome to be n.