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3 years ago

The average distance of all data values from the mean of the data is called the

Mathematics

1 answer:

Rina8888 [55]3 years ago

6 0

Answer:

mean absolute deviation

Step-by-step explanation:

The mean absolute deviation of a data set is the average distance between each data point and the mean. It gives us an idea about the variability in a data set since it is a measure of dispersion

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Rectangle KLMN is graphed on the coordinate plane below. On a coordinate plane, rectangle K L M N has points (2, negative 2), (5

gladu [14]

Answer: The correct option is (A) (2, -2).

Step-by-step explanation: Given that rectangle with vertices at K, L, M and N is graphed on the coordinate plane as shown in the figure.The figure is rotated 360° counterclockwise using the origin as the center of rotation.

We are to find the location of the image of point K after the rotation.

We know that

a rotation of 360° in counterclockwise direction about the origin map a point to itself. That is, the co-ordinates of the image point will be same as the original one.

From the figure, we see that the co-ordinates of point K are (2, -2).

Therefore, after rotation of 360° counterclockwise using the origin as the center of rotation,

the co-ordinates of the image of point K will also be (2, -2).

Thus, the location of the image of point K is (2, -2).

Option (A) is CORRECT.

8 0

2 years ago

Graph f(x) =-2x^+16x-30 by factoring to find the solutions, then find the coordinates of the vertex, and the axis of symmetry. I

fredd [130]

Answer:

Observe attached image

Function zeros:

(3, 0), (5, 0)

Vertex:

(4, 2)

Axis of symmetry:

 $x =4$ 

Step-by-step explanation:

First factorize the function

$f (x) = -2x ^ 2 + 16x-30$

Take -2 as a common factor.

$-2(x ^ 2 -8x +15)$

Now factor the expression $x ^ 2 -8x +15$

You must find two numbers that when you add them, obtain the result -8 and multiplying those numbers results in 15.

These numbers are -5 and -3

Then we can factor the expression in the following way:

$f (x) = -2(x-5)(x-3)$

The quadratic function cuts the x-axis at x = 3 and at x = 5.

Now we find the coordinates of the vertex.

For a function of the form $ax ^ 2 + bx + c$ the x coordinate of its vertex is:

$x = \frac{-b}{2a}$

In the function $f (x) = -2x ^ 2 + 16x-30$

$a = -2\\b = 16\\c = 30$

Then the vertice is:

$x = \frac{-16}{2(-2)}\\\\x = 4$

The y coordinate of the symmetry axis is

$y = f (4) = -2 (4) ^ 2 +16 (4) -30\\\\y = 2$

The axis of symmetry is a vertical line that cuts the parabola in two equal halves. This axis of symmetry always passes through the vertex.

Then the axis of symmetry is the line

$x = 4$

The solutions and the vertice written as ordered pairs are:

Function zeros:

(3, 0), (5, 0)

Vertex:

(4, 2)

6 0

3 years ago

Correct answers only!

alina1380 [7]

Answer:

$39

Step-by-step explanation:

Using the given formula :

I = P × R × T

I = 30 × 10/100 × 3

I = $9

She have = 30 + 9 = $39

3 0

3 years ago

Write the equation for the line that goes through the point (5, 12) with a slope m = 10

Iteru [2.4K]

Answer:

Point-slope form: y - 12 = 10 (x - 5)

Slope-Intercept form: y= 10x - 38

Step-by-step explanation:

im not fully sure which equation ur looking for but i think thats right lol. hopefully this helps ! :)

3 0

2 years ago

The distance from Clarion to DuBois is 2 1/2 inches on the map. the actual distance is 40 miles. The distance from DuBois to Rid

lisov135 [29]

Hello!

You have to find how many miles is 1 inch on the map

We can do this by doing 40 / 2 1/2 = 16

16 miles is equal to one inch

So we multiply this by 1 1/2

16 * 1 1/2 = 24

The answer is 24 miles

Hope this helps!

4 0

3 years ago