<u>Given</u>:
Given that the data are represented by the box plot.
We need to determine the range and interquartile range.
<u>Range:</u>
The range of the data is the difference between the highest and the lowest value in the given set of data.
From the box plot, the highest value is 30 and the lowest value is 15.
Thus, the range of the data is given by
Range = Highest value - Lowest value
Range = 30 - 15 = 15
Thus, the range of the data is 15.
<u>Interquartile range:</u>
The interquartile range is the difference between the ends of the box in the box plot.
Thus, the interquartile range is given by
Interquartile range = 27 - 18 = 9
Thus, the interquartile range is 9.
There's not much math work here, they just want you to eyeball the graph and give the closest grid point to where the two lines meet.
Let's translate the question.
Solution to the system
That's the x and y values where the two lines cross. That's because the meeting point is the value of x and y that satisfies both equations.
Approximation ... to the nearest integer values
Where two integer grid lines cross is called a lattice point. It's a point with integer coordinates. Our solution, the meet of these two lines, doesn't fall exactly on a lattice point. The nearest integer values means the closest lattice point to our intersection of lines.
Eyeballing the graph, I'd say (x,y)=(2,3) is the closest point.
Answer: (2,3) second choice
Answer:
24ab-8ac
Step-by-step explanation:
Assuming you want to simplify it.
Original equation: 8a(3b+6c-7c)
Apply 8a to each variable in the paranthesis: (8a)(3b)+(8a)(6c)+(8a)(-7c)
After multiplication: 24ab+48ac-56ac
Combine like terms: 24ab-8ac
Answer:
The system has infinitely solutions
Step-by-step explanation:
we have


Multiply by 3 both sides
----> equation A
The equation A is a circle centered at origin with radius 
and


Divide by 5 both sides
----> equation B
The equation B is a circle centered at origin with radius 
Equation A and Equation B are the same
Therefore
The system has infinitely solutions