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Mathematics

2 answers:

WITCHER [35]3 years ago

4 0

Answer:

Median: 15

Mean: 14.875 or 14.9 if rounded

Step-by-step explanation:

To find the median, arrange the numbers in order from least to greatest and find the middle value between the numbers.

To find the mean, add all the numbers and divide by however many numbers there are.

joja [24]3 years ago

3 0

Answer:

Median = 15

Mean = 14.6

Step-by-step explanation:

To find the median:

1) Set the numbers from least to greatest.

8, 10, 13, 14, 16, 18, 19, 19

2) Determine which number is in the center of the set:

8, 10, 13, 14, 16, 18, 19, 19

3) Since there are 2 middle numbers, you must first add them together:

14 + 16 = 30

4) Then divide the sum by the count:

30 / 2 = 15

To find the Mean:

1) Add up the all the numbers in the set

8 + 10 + 13 + 14 + 16 + 18 + 19 + 19 = 117

2) Divide the sum by the count:

117 / 8 = 14.6

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Find the equation of the line between the points (10, – 5) and ( - 2,0).

Natali5045456 [20]

Answer (assuming it can be in slope-intercept form):

$y = -\frac{5}{12} x-\frac{5}{6}$

Step-by-step explanation:

1) First, find the slope of the line between the two points by using the slope formula, $m = \frac{y_2-y_1}{x_2-x_1}$ . Substitute the x and y values of the given points into the formula and solve:

$m = \frac{(0)-(-5)}{(-2)-(10)} \\m = \frac{0+5}{-2-10} \\m=\frac{5}{-12}$

Thus, the slope of the line is $-\frac{5}{12}$ .

2) Next, use the point-slope formula $y-y_1 = m (x-x_1)$ to write the equation of the line in point-slope form. Substitute values for $m$ , $x_1$ , and $y_1$ in the formula.

Since $m$ represents the slope, substitute $-\frac{5}{12}$ in its place. Since $x_1$ and $y_1$ represent the x and y values of one point the line intersects, choose any of the given points (it doesn't matter which one, it will equal the same thing) and substitute its x and y values into the formula as well. (I chose (-2,0), as seen below.) Then, isolate y and expand the right side in the resulting equation to find the equation of the line in slope-intercept form:

$y-(0)=-\frac{5}{12} (x-(-2))\\y-0 = -\frac{5}{12} (x+2)\\y = -\frac{5}{12} x-\frac{5}{6}$