10 (1/2) = 5
hope this helps
Answer:
The probability is 0.9211
Step-by-step explanation:
Let's call K the event that the student know the answer, G the event that the student guess the answer and C the event that the answer is correct.
So, the probability P(K/C) that a student knows the answer to a question, given that she answered it correctly is:
P(K/C)=P(K∩C)/P(C)
Where P(C) = P(K∩C) + P(G∩C)
Then, the probability P(K∩C) that the student know the answer and it is correct is:
P(K∩C) = 0.7
On the other hand, the probability P(G∩C) that the student guess the answer and it is correct is:
P(G∩C) = 0.3*0.2 = 0.06
Because, 0.3 is the probability that the student guess the answer and 0.2 is the probability that the answer is correct given that the student guess the answer.
Therefore, The probability P(C) that the answer is correct is:
P(C) = 0.7 + 0.06 = 0.76
Finally, P(K/C) is:
P(K/C) = 0.7/0.76 = 0.9211
The answer is B) 0 miles. Because displacement is the shortest distance between starting point and ending point. Since, his starting point and ending point is the same, hence, his displacement is 0 miles.
Answer:
Multiply row 2 by-1 and add it to row 3.
Step-by-step explanation:
The given augmented matrix is ![\left[\begin{array}{ccc}3&-21&15\\15&8&15\\-2&-1&3\end{array}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D3%26-21%2615%5C%5C15%268%2615%5C%5C-2%26-1%263%5Cend%7Barray%7D%5Cright%5D)
The permissible row operations are:
1. Switching rows
2. Multiplying a row by a nonzero constant.
3. Adding/Subtracting two rows
Therefore the correct option is: Multiply row 2 by-1 and add it to row 3.
If x=students, the equation would be x=12 (x is less than of equal to twelve). I don’t know what you mean by constraints; perhaps if you explain more, I could help?