Answer:
One third the difference between 3/4 and 2/3 is 
Step-by-step explanation:
One third the difference of A and B = 
Here, as given in the question:

Now, one third of the difference is :

Hence, one third the difference between 3/4 and 2/3 is 
Answer:
150 degrees
Step-by-step explanation:
Graphing the complex number we see the angle terminates in the second quadrant. This means the argument, the angle, will be between 90 degrees and 180 degrees.
So if we create a right triangle with that point after graphing it. We see the height of that triangle is 5 because that is the imaginary part. The base of that triangle has length
. The problem is this doesn't give us any part of the angle we want, but it does give us the complementary of the part of the angle that is in second quadrant.
Let's find the complementary angle.
So the opposite side of the complementary angle is 5.
The adjacent side of the complementary angle is
.




So 90-30=60.
The answer therefore 60+90=150.
The given equation is the best line that approximates the linear
relationship between the midterm score and the score in the final exam.
- AJ's residual is 0.3, which is not among the given options, therefore, the correct option is. <u>E. None of these</u>.
Reasons:
The given linear regression line equation is;
= 25.5 + 0.82·
Where;
= Final exam score;
= The midterm score;
AJ score in the first test,
= 90
AJ's actual score in the exam = 99
Required:
The value of AJ's residual
Solution:
By using the regression line equation, we have;
The predicted exam score,
= 25.5 + 0.82 × 90 = 99.3
- The residual score = Predicted score - Actual score
∴ AJ's residual = 99.3 - 99 = 0.3
AJ's residual = 0.3
Therefore, the correct option is option E;
Learn more about regression line equation here:
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Answer: x=-7
Step-by-step explanation:
1. distribute the 2 to (3x-12) >>>> 8x+6x-24=-122
2. add 8x and 6x to get 14x >>>> 14x-24=-122
3. add 24 to both sides>>>> 14x=-98
4. divide 14 by both sides>>>x=-7
Answer: No solution for V. No solution.
Step-by-step explanation:
-v+5+6v=1+5v+3
Combine like terms together by adding all of the v's together, and number together.
5v+5=4+5v
5v-5v+5=4
0+5=4
5=4
Since this is a false statement, then no solution for V