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
Answer:
No, the absolute value of a number is different from the opposite.
Step-by-step explanation:
For example, the absolute value of 4 is 4.
l4l = 4
But the opposite of 4 is -4.
Absolute value is ALWAYS positive, but the opposite of a positive number is a negative number.
I think y = (-23.8)
y=2+4.3x and let x=(-6) so y=2+(4.3 * -6) so y=2+ (-25.8) so y=2-25.8 so y= (-23.8)
<h3>
Answer: x = 4</h3>
===============================================
Explanation:
Saying "Points A,B, and C are collinear" means the three points all fall on the same line. For the sake of simplicity, assume the line is horizontal.
Since B is between A and C, we know that the order of the points from left to right is A, B, C.
Through the segment addition postulate, we say,
AB+BC = AC
(x+3) + (x) = 11
x+3+x = 11
2x+3 = 11
2x = 11-3
2x = 8
x = 8/2
x = 4
------------------
Extra info:
Using x = 4, we see that
AB = x+3
AB = 4+3
AB = 7
Note how this adds to BC = x = 4, getting us,
AB+BC = 7+4 = 11
which is the length of segment AC. This confirms AB+BC = AC is true and confirms our answer.
