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3 years ago

X = 53. What is the value of x ?

Mathematics

1 answer:

kompoz [17]3 years ago

7 0

53

20 words do b annoying

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The table below represents the closing cost of ABC for the last 5 days. What is the r -value of the linear regression that fits

Gnoma [55]

Answer:

The correct option is D.

Step-by-step explanation:

The linear regression equation is in the form of

$y=bx+a$

Where,

$b=\frac{n(\sum xy)-(\sum x)(\sum y)}{n(\sum x^2)-(\sum x)^2}$

$a=\frac{(\sum y)(\sum x^2)-(\sum x)(\sum xy)}{n(\sum x^2)-(\sum x)^2}$

The formula of r is

$r=\frac{n(\sum xy)-(\sum x)(\sum y)}{\sqrt{[n(\sum x^2)-(\sum x)^2][n(\sum y^2)-(\sum y)^2]}}$

The values are

$\sum x=15,\sum y=98.91,\sum x^2=55,\sum y^2=1957.8295,\sum xy=293.78, n=5$

Using above formula, we get

$r=-0.85650$

Therefore option D is correct.

3 0

3 years ago

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Under a certain transformation T, AA'BC' is the image of AABC. The perimeter of AA'B'C' is twice the perimeter of ABC. What kind

Anika [276]

The dimensions of the image are twice the dimensions of the preimage,

which indicates that the transformation is a dilation.

The transformation T is; a dilation transformation with a scale factor of 2, D₂

Reasons:

The transformation applied to ΔABC = T

The image of ΔABC following the transformation, T = ΔA'B'C'

The perimeter of ΔA'B'C' = Twice the perimeter of ΔABC

Therefore, we have;

A'B' + B'C' + A'C' = 2 × (AB + BC + AC)

Which gives

A'B' + B'C' + A'C' = 2·AB + 2·BC + 2·AC

By similar triangles, we have the ratio of corresponding sides as follows;

$\displaystyle \frac{AB}{A'B'} = \frac{BC}{B'C'} = \mathbf{ \frac{AC}{A'C'}}$

Which gives;

$\displaystyle \frac{AB}{A'B'} = \frac{AB}{2 \cdot AB} = \frac{1}{2}$

A'B' = 2·AB

Therefore;

Triangle ΔA'B'C' is twice the dimension of triangle ΔABC, and T is a dilation transformation with a scale factor of 2, D₂

Learn more about dilation transformation here:

brainly.com/question/2458912

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2 years ago