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2 years ago

If a data value is 2 and the mean is 11, what is the associated deviation?

Mathematics

1 answer:

Westkost [7]2 years ago

3 0

Answer:

the mean = 9, and the mean deviation = 3.75

Hope this helps! :)

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Use the Parabola tool to graph the quadratic function. f(x)=2x^2−12x+19 Graph the parabola by first plotting its vertex and then

Debora [2.8K]

To find the vertex of our parabola, we are going to use the vertex formula: For a quadratic of the form $f(x)=x^2+bx+c$ it vertex $(h,k)$ is given by $h= \frac{-b}{2a}$ , $k=f(h)$ .
We can infet from our parabola that $a=2$ and $b=-12$ . So lets replace those values in our formula:
$h= \frac{-b}{2a}$
$h= \frac{-(-12)}{2(2)}$
$h= \frac{12}{4}$
$h=3$
$k=f(h)=2(3)^2-12(3)+19$
$k=2(9)-36+19$
$k=18-17$
$k=1$
The vertex $(h,k)$ of our parabola is $(3,1)$

Now to find our second point, we are going to evaluate our parabola at $x=0$
$f(0)=2(0)^2-12(0)+19$
$f(0)=0+0+19$
$f(0)=19$
Our second point is $(0,19)$

We can conclude that we can graph the parabola $f(x)=2x^2-12x+19$ using its vertex $(3,1)$ and the point $(0,19)$ as follows:

7 0

3 years ago

16 more than s is at most −80.

polet [3.4K]

Answer:

s + 16 ≤ −80

Step-by-step explanation:

Analyze each part in the word equation:

"16 more than s" s increased by 16; s + 16

"is at most" is equal to or less than; ≤

"−80" -80

Put the equation back together:

s + 16 ≤ −80

4 0

3 years ago

9) State the coordinates of the endpoints of a<br> line segment that intersects the y-axis.

eduard

Answer:

(5,4) and (3,4)

Step-by-step explanation:

A line segment has 2 end points which can be denoted as:

$(x_1,y_1)$ and $(x_2,y_2)$

When this line segment intersects at y.

This means that the coordinate on the y axis is the same at both end points

i.e.

$y_1 = y_2 = y$

$(x_1,y_1)$ and $(x_2,y_2)$ becomes $(x_1,y)$ and $(x_2,y)$

x1 and x2 can be any value but the y value must remain unchanged

Using the above analysis, a possible coordinate is:

$(5,4)$ and $(3,4)$

Note that there are as many answers as possible as long as the coordinate pair satisfy is of the form $(x_1,y)$ <em> and </em> $(x_2,y)$ <em />

Take for instance, another possible pair is:

$(1,-3)$ and $(0,-3)$

7 0

3 years ago

You are locked out of your villa in Dubai and the only open window is on the second floor to get inside. You need to borrow a la

vova2212 [387]

Answer:

You are locked out of your villa in Dubai and the only open window is on the second floor to get inside. You need to borrow a ladder from your neighbour. So you will have to propped up ladder against villa, since there is a bush along the edge of the house find the interior angles of the triangle formed to reach window and exterior angles on the ground. Justify your answer.

pls answer pls pls

7 0

3 years ago

Write an equation of a line that is parallel to the line whose equation is 3y=x+6 and that passes through the point (-3,4).

Monica [59]

The standard form of this equation is

$y=\frac{1}{3}x+2$

The slope of two parallel lines i the same, so the slope of the line we're looking for is also $\frac{1}{3}$

Since the line passes through $(-3,4)$ , the equation is:

$(y-4)=\frac{1}{3}(x+3)$

$\boxed{y=\frac{1}{3}x+5}$

3 0

3 years ago