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:
0.025
Step-by-step explanation:
Given that the arrival time of a professor to her office is uniformly distributed in the interval between 8 and 9 A.M.
If the professor did not arrive till 8.20 he will arrive between 8.21 and 8.40
Hence probability for arriving after 8.20 is 1/40
Prob he arrives at exactly 8.21 is 1/60
To find the probability that professor will arrive in the next minute given that she has not arrived by 8: 20.
= Prob that the professor arrives at 8.21/Prob he has not arrived by 8.20
This is conditional probability and hence
= 
A mixed number is in the form x y/z while a improper fraction (76/10) is in the form y/z. We can separate the fraction into two parts. One is 70/10 which = 7 and the other is 6/10 which simplifies to 3/5. So, in order to express 76/10 as a mixed number we must express it as 7 3/5 or 7 6/10. 7 3/5 is equal to 7 6/10.
I hope this helped you!
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Well, you have to simplify the bottom part to be able to answer it as a whole number. Hope this helps.
Answer:
2x^5log=1/6
Step-by-step explanation:
using the natural log (e), we were able to give the power of 5 to 2x and then take it out from the parantheses