175... I can try my best. )) If your one of the many that don’t like math, just know your not the only person in the world with this feeling. Surprisingly, there are ways and methods that maybe with change your negative thoughts into positive thoughts about math. Try striving to be the best in the class, work the hardest. Your work will pay off and in the end, you’ll feel proud of what you’ve accomplished. If you’ve got some bad thoughts about an up coming test or quiz, study the entire week for that quiz/test.Make sure you know the material , so you can walk into math class feeling confident. Lastly, walk into math everyday with an open mind. Don’t get too stressed, and say to yourself “They’ve got to teach it to me first”. Also, always ask questions. If you don’t know what’s going on, always ask a question. There might be someone else wondering the same question. uhmmm this should get you going. if you need more help lmk
Answer:
System of equations:
Augmented matrix:
![\left[\begin{array}{cccc}1&2&2&6\\2&1&1&6\\1&1&3&6\end{array}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bcccc%7D1%262%262%266%5C%5C2%261%261%266%5C%5C1%261%263%266%5Cend%7Barray%7D%5Cright%5D)
Reduced Row Echelon matrix:
![\left[\begin{array}{cccc}1&2&2&6\\0&1&1&2\\0&0&1&1\end{array}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bcccc%7D1%262%262%266%5C%5C0%261%261%262%5C%5C0%260%261%261%5Cend%7Barray%7D%5Cright%5D)
Step-by-step explanation:
Convert the system into an augmented matrix:
For notation, R_n is the new nth row and r_n the unchanged one.
1. Operations:
Resulting matrix:
![\left[\begin{array}{cccc}1&2&2&6\\0&-3&-3&-6\\0&-1&1&0\end{array}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bcccc%7D1%262%262%266%5C%5C0%26-3%26-3%26-6%5C%5C0%26-1%261%260%5Cend%7Barray%7D%5Cright%5D)
2. Operations:
Resulting matrix:
![\left[\begin{array}{cccc}1&2&2&6\\0&1&1&2\\0&-1&1&0\end{array}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bcccc%7D1%262%262%266%5C%5C0%261%261%262%5C%5C0%26-1%261%260%5Cend%7Barray%7D%5Cright%5D)
3. Operations:
Resulting matrix:
![\left[\begin{array}{cccc}1&2&2&6\\0&1&1&2\\0&0&2&2\end{array}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bcccc%7D1%262%262%266%5C%5C0%261%261%262%5C%5C0%260%262%262%5Cend%7Barray%7D%5Cright%5D)
4. Operations:
Resulting matrix:
1.12x=62 , 62/1.12 = x, x = 55.36
Question seem incorrect because 60%,50% and 20% sum up to more than a 100% therefore we've made a little correction
Answer:
0.8
Step-by-step explanation:
Probability = number of favorable outcomes/number of outcomes
Given that 30% are entertained by reading books
50% are entertained by watching TV
20% are entertained by reading books and watching TV
The probability that a person will be entertained by books or TV =
30/100+50/100= 3/10+5/10
=8/10
=0.8
