What is the median of 33, 34, 38, 42, 47, 47, 48, 49, 51?
To find the median of a set of numbers, we arrange them in order from least to greatest and then find the middle number. If there are an even number of values, we take the average of the two middle numbers.
In this case, we can arrange the numbers from least to greatest as:
33, 34, 38, 42, 47, 47, 48, 49, 51
The middle number is 47, since there are an odd number of values.
Therefore, the median is 47.
Point Q is located at (−4,6) Point R is located at (8,6)
What is the distance from point Q to point R?
To find the distance between two points on a coordinate plane, we can use the distance formula:
distance = sqrt((x2 - x1)^2 + (y2 - y1)^2)
In this case, we can plug in the coordinates of points Q and R:
distance = sqrt((8 - (-4))^2 + (6 - 6)^2)
Simplifying this equation, we get:
distance = sqrt(12^2 + 0^2)
distance = sqrt(144)
distance = 12
Therefore, the distance between point Q and point R is 12 units.
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What is the median of 14, 14, 15, 17, 21, 21, 22, 23?
To find the median of a set of numbers, we need to arrange the numbers in order from smallest to greatest and then find the middle number.
First, we can arrange the numbers in order from smallest to greatest:
14, 14, 15, 17, 21, 21, 22, 23
Next, we find the middle number. Since there are eight numbers in this set, the median is the average of the 4th and 5th numbers.
The 4th number is 17 and the 5th number is 21.
So, the median of this set is:
median = (17 + 21) / 2
median = 38 / 2
median = 19
Therefore, the median of the set 14, 14, 15, 17, 21, 21, 22, 23 is 19.
Rectangle ABCDA, B, C, D is graphed in the coordinate plane. The following are the vertices of the rectangle:
A = (−1,−6), B = (−1,7), C = (1,7)C, and D = (1,−6),
Given these coordinates, what is the length of side AB of this rectangle?
Since points A and B have the same x-coordinates, we can find the length of line segment AB by taking the absolute value of the difference between their y-coordinates:
|yB - yA| = |7 - (-6)| = 13
Therefore, the length of side AB is 13 units.