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Alenkasestr [34]
2 years ago
8

This is 8th grade math.

Mathematics
2 answers:
m_a_m_a [10]2 years ago
8 0

Answer:

x = 1 , y = - 2

Step-by-step explanation:

Mrrafil [7]2 years ago
4 0
X = 1 , y = - 2


Hope this helped
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This week, we are covering relationships that can be approximated by linear equations. For instance, y = 453x + 3768 represents
lana [24]

Answer:

See explanation below.

Step-by-step explanation:

We assume that the data is given by :

x: 30, 30, 30, 50, 50, 50, 70,70, 70,90,90,90

y: 38, 43, 29, 32, 26, 33, 19, 27, 23, 14, 19, 21.

Where X represent the cost for scholarships in thousands of dollars and y represent the cost of life for an academic semester (The data comes from the web)

We can find the least-squares line appropriate for this data.  

For this case we need to calculate the slope with the following formula:

m=\frac{S_{xy}}{S_{xx}}

Where:

S_{xy}=\sum_{i=1}^n x_i y_i -\frac{(\sum_{i=1}^n x_i)(\sum_{i=1}^n y_i)}{n}

S_{xx}=\sum_{i=1}^n x^2_i -\frac{(\sum_{i=1}^n x_i)^2}{n}

So we can find the sums like this:

\sum_{i=1}^n x_i = 30+30+30+50+50+50+70+70+70+90+90+90=720

\sum_{i=1}^n y_i =38+43+29+32+26+33+19+27+23+14+19+21=324

\sum_{i=1}^n x^2_i =30^2+30^2+30^2+50^2+50^2+50^2+70^2+70^2+70^2+90^2+90^2+90^2=49200

\sum_{i=1}^n y^2_i =38^2+43^2+29^2+32^2+26^2+33^2+19^2+27^2+23^2+14^2+19^2+21^2=9540

\sum_{i=1}^n x_i y_i =30*38+30*43+30*29+50*32+50*26+50*33+70*19+70*27+70*23+90*14+90*19+90*21=17540

With these we can find the sums:

S_{xx}=\sum_{i=1}^n x^2_i -\frac{(\sum_{i=1}^n x_i)^2}{n}=49200-\frac{720^2}{12}=6000

S_{xy}=\sum_{i=1}^n x_i y_i -\frac{(\sum_{i=1}^n x_i)(\sum_{i=1}^n y_i)}=17540-\frac{720*324}{12}{12}=-1900

And the slope would be:

m=-\frac{1900}{6000}=-0.317

Nowe we can find the means for x and y like this:

\bar x= \frac{\sum x_i}{n}=\frac{720}{12}=60

\bar y= \frac{\sum y_i}{n}=\frac{324}{12}=27

And we can find the intercept using this:

b=\bar y -m \bar x=27-(-0.317*60)=46.02

So the line would be given by:

y=-0.317 x +46.02

We have an inverse linear relationship since the slope is negative between the variables of interest.

8 0
3 years ago
The perimeter of (the distance around) ABCD is 66, and DC is twice as long as CB. How long is AB?
ArbitrLikvidat [17]

Answer:

AB=22\ units

Step-by-step explanation:

we know that

In this problem ABCD is a rectangle

so

DC=AB

BC=AD

Let

BC ---> the length of rectangle

DC ---> the width of rectangle

we know that

The perimeter of rectangle is equal to

P=2(BC+DC)

we have

P=66\ units

so

66=2(BC+DC)

simplify

33=BC+DC ----> equation A

DC=2BC ----> equation B

substitute equation B in equation A

33=BC+2BC

Solve for BC

Combine like terms

33=3BC

Divide by 3 both sides

BC=11\ units

<em>Find the value of DC</em>

DC=2BC ----> DC=2(11)=22\ units

Remember that

DC=AB

therefore

AB=22\ units

3 0
2 years ago
How can I find c in a=3 b=4
Dahasolnce [82]
A^2+b^2= c^2
3^2+4^2=c^2
9+16=c^2
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8 0
3 years ago
Someone help me with my math homework pleaseee. Find the volumes of the pyramids and the height is 7cm for the first one.
gregori [183]
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now, the first one, on the far-left.... can't see the height.. but I gather you do, now as far as its Base area, well, the bottom is just a 12x12 square, so the area of its base is just 12*12


now, the middle pyramid, has a height of 6, the base is also a square, 8x8, so the Base area is just 8*8

now the last one on the far-right

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\bf \textit{area of a regular polygon}\\\\&#10;A=\cfrac{1}{4}ns^2cot\left( \frac{180}{n} \right)\qquad &#10;\begin{cases}&#10;n=\textit{number of sides}\\&#10;s=\textit{length of one side}\\&#10;\frac{180}{n}=\textit{angle in degrees}\\&#10;----------\\&#10;n=6\\&#10;s=6&#10;\end{cases}\\\\\\ A=\cfrac{1}{4}\cdot 6\cdot 6^2\cdot cot\left( \frac{180}{6} \right)
5 0
2 years ago
Will measured the diameter of a penny as 1.9 cm using the ruler. What is the margin of error? 1.5 cm to 2.0 cm 1.5 cm to 2.5 cm
Anna35 [415]

The answer is 1.5cm to 2.0cm

9 0
3 years ago
Read 2 more answers
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