Answer:
9.) A
10.) B
Step-by-step explanation:
please mark as brainliest
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
#SPJ1
This conjecture is false, A and C don't have to be complementary angles.
Let Angle A be 100 and Angle B be 80 degrees. They are supplementary (sum of 180).
Let Angle C be 100 and Angle B is still 80 degrees. They are supplementary.
However, Angle A and Angle C are not complementary (sum of 90).
Being that the triangle has a center of dilation at (0,0) you must contract the points towards (0,0). The scale factor is 1/3 so you must divide the difference in location of the points on the X and Y axis by a scale of 1/3.
1/3 of 9 = 3 , y = 3
1/3 of -6 = -2 , x = -2
by changing these points a new triangle will be formed
