If 18 is 45% of a value, what is that value?
1 answer:
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Part A:
You may choose the two lines connecting the origin and points A and B, and choose the portion of the space between them.
The line between the origin and A is
We want everything below this line (line included), so the first inequality is
The line between the origin and B is
We want everything above this line (line included), so the second inequality is
Create a system with these two inequalities and you'll have an area including only points A and B
Part B:
To verify the solutions, we can plug the coordinates of A and B in this system and check that we get something true: the coordinates of point A are (1,3), while the coordinates of point B are (3,1). The system becomes:
Which means
And these are all true. So, the system is satisfied, which means that the points belong to the shaded area.
Part C
If you draw the line, you'll see that the only points that lay below the line are B and C. In fact, if we plug the coordinates we have
And this are both true. You can check the coordinates of all other points, and see that they won't satisfy the inequality y<3x-6
Answer: Option A
The median is the same as the _ Second quartile_.
Step-by-step explanation:
Given a series of data ordered from least to greatest, the median is the value that is in the center.
That is, the median represents the value that divides 50% of the data.
In the same way, the first quartile is the value that divides 25% of the data and the third quartile
is the value that divides 75% of the data.
The second quartile is the number that divides 50% of the data.
Then notice that the second quartile is equal to the median
Then te answer is the option A.