Answer:
Step-by-step explanation:
<u>Inequalities with Absolute Value</u>
We must recall the following rule:
Then:
We have the following inequality:
Subtracting 12:
Applying the rule:
Adding 4:
Operating:
Dividing by 13:
The solution expressed in interval form is:
Firstly you work out 20% of 25 then subtract it.
So 20% of 25 is 5. then you do 25-5 which is 20.
The desired measures for the data-set is given by:
<h3>How to find the five number summary and interquartile range of the data-set?</h3>
The five number summary is composed by the measures explained below, except the IQR.
- The minimum value is the smallest value from the data-set, as the maximum value is the greatest value of the data-set.
- 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 third quartile and the first quartile.
In this problem, we have that:
- The minimum value is the smallest value, of 48.
- The maximum value is the smallest value, of 80.
- The data-set has even cardinality, hence the median is the mean of the middle elements, which are 63 and 64, hence the median is of 63.5.
- The first quartile is the median of the five elements of the first half, hence it is of 54.
- The third quartile is the median of the five elements of the second half, hence it is of 74.
- The IQR is the difference between the quartiles, hence 74 - 54 = 20.
More can be learned about five number summaries at brainly.com/question/17110151
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The kite is 105 feet in the air
2y + 1/3 = 5
2y = -5 -1/3
2y = -16/3
Y = -8/3
