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Genrish500 [490]
3 years ago
7

Find the median and mean of the data which reflects the best measure of the center

Mathematics
1 answer:
galben [10]3 years ago
7 0

Answer:

The mean reflects the best measure of the center

Step-by-step explanation:

12, 13, 13, 14, 21, 22, 23

Median: 14

Mean: 16.86

The mean reflects the best measure of the center

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Answer:

x = 8, and y = 12

Step-by-step explanation:

There are 2 variables, so you need 2 equations to form a system of equations in two variables.

The upper left triangle has all angle measures given: 100, 2x + y, 5x + y. We know that the sum of the measures of the angles of a triangle is 180.

First equation:

100 + 2x + y + 5x + y = 180

Simplify:

7x + 2y = 80     (First equation)

Now we see that the upper and lower sides are parallel, so alternate interior angles are congruent. The angles measuring 2x + y and 5x - y are alternate interior angles and are congruent.

Second equation:

2x + y = 5x - y

Simplify:

3x - 2y = 0    (Second equation)

Now we use the first equation and the second equation as a system of simultaneous equations to solve for x and y.

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3x - 2y = 0

Solve the second equation for 2x.

3x = 2y

Now replace 2y in the first equation with 3x.

7x + 3x = 80

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Replace x with 8 in the second equation.

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Step-by-step explanation:

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