Answer:
Third graph
Step-by-step explanation:
First, find the solution to the equation of inequality given.
2k + 8 < 5k - 1
Subtract 5k from both sides
2k + 8 - 5k < 5k - 1 - 5k
-3k + 8 < -1
Subtract 8 from both sides
-3k + 8 - 8 < -1 - 8
-3k < -9
Divide both sides by -3. (Note: < will change to > when dividing both sides with negative number)
> 
k > 3
The graph that will represent this solution will show that all values of k are greater than 3. 3 is not included as a solution. The "o" on top of the 3 on the number line won't be shaded to indicate that 3 is not included. And also, the arrow will point from 3 towards our right.
Therefore, the 3rd graph is the answer.
Answer:
c
Step-by-step explanation:
A triangles is 180 degrees. 100+50=150.
180-150=30
X=30
Using the median concept, it is found that the interquartile range of Sara's daily miles is of 21 miles.
<h3>What are the median and the quartiles of a data-set?</h3>
- The median of the data-set separates the bottom half from the upper half, that is, it is the 50th percentile.
- The first quartile is the median of the first half of the data-set.
- The third quartile is the median of the second half of the data-set.
- The interquartile range is the difference of the quartiles.
The ordered data-set is given as follows:
65, 72, 86, 88, 91, 93, 97
There are 7 elements, hence the median is the 4th element, of 88. Then:
- The first half is 65, 72, 86.
- The second half is 91, 93, 97.
Since the quartiles are the medians of each half, the have that:
- The first quartile is of 72 miles.
- The third quartile is of 93 miles.
- The interquartile range is of 93 - 72 = 21 miles.
More can be learned about the median of a data-set at brainly.com/question/3876456
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Answer:
the answer which you have opted is perfect
