The following are the distances (in miles) to the nearest airport for 12 families. 6, 7, 8, 8, 16, 19, 23, 24, 26, 27, 34, 35 No
AveGali [126]
Using it's definitions, the five-number summary and the interquartile range for the data-set is given as follows:
<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 third quartile and the first quartile.
This data-set has 12 elements, which is an even number, hence the median is the mean of the 6th and 7th elements, as follows:
Me = (19 + 23)/2 = 21.
The first quartile is the median of 6, 7, 8, 8, 16, which is the third element of 8.
The third quartile is the median of 23, 24, 26, 27, 34, 35, which is of 27. Hence the interquartile range is of 27 - 8 = 19.
The minimum is the lowest value in the data-set, which is of 6, while the maximum is of 35, which is the largest value in the data-set.
More can be learned about the five-number summary and the interquartile range at brainly.com/question/3876456
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This one looks very tricky but ill try it out
Answer:
Step-by-step explanation:
6
Answer:
WX = WZ
Step-by-step explanation:
Given
See attachment for triangles
Required
Additional information to prove the congruence of the triangles
Congruence by SAS means 1 angle and 2 sides of each triangles are equal.
The mark on angle W means that <XWY = <ZWY--- This represent the A in SAS
Both triangles share line WY.
So, WY = WY
Lastly, to complete the proof, lines WX must equal line WZ
The value of x<em> </em>in the polynomial fraction 3/((x-4)•(x-7)) + 6/((x-7)•(x-13)) + 15/((x-13)•(x-28)) - 1/(x-28) = -1/20 is <em>x </em>= 24
<h3>How can the polynomial with fractions be simplified to find<em> </em><em>x</em>?</h3>
The given equation is presented as follows;

Factoring the common denominator, we have;

Simplifying the numerator of the right hand side using a graphing calculator, we get;
By expanding and collecting, the terms of the numerator gives;
-(x³ - 48•x + 651•x - 2548)
Given that the terms of the numerator have several factors in common, we get;
-(x³ - 48•x + 651•x - 2548) = -(x-7)•(x-28)•(x-13)
Which gives;

Which gives;

x - 4 = 20
Therefore;
Learn more about polynomials with fractions here:
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