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Sati [7]
3 years ago
6

HELP PLEASE I WILL MARK BRAINLIEST

Mathematics
1 answer:
disa [49]3 years ago
8 0

Answer:

See steps below

Step-by-step explanation:

Step 1:  <A ≅ <I   Reason: Given information in the drawing

Step 2: side MX  ≅ NM  Reason: Given information in the drawing

Step 3: angle <AMX ≅ < <NMI  Reason: Angles opposed by the vertex (also called vertical angles)

Step 4: Triangle AXM ≅ triangle NMI   Reason:  SAA theorem

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The following table shows the percent increase of donations made on behalf of a non-profit organization for the period of 1984 t
pashok25 [27]
Giving the table below which shows <span>the percent increase of donations made on behalf of a non-profit organization for the period of 1984 to 2003.
</span>
Year:        1984     1989     1993     1997     2001     2003

Percent:    7.8       16.3       26.2      38.9     49.2      62.1

The scatter plot of the data is attached with the x-axis representing the number of years after 1980 and the y-axis representing the percent increase <span>of donations made on behalf of a non-profit organization.

To find the equation for the line of regression where </span><span>the x-axis representing the number of years after 1980 and the y-axis representing the percent increase of donations made on behalf of a non-profit organization.
\begin{center}&#10;\begin{tabular}{ c| c| c| c| }&#10; x & y & x^2 & xy \\ [1ex] &#10; 4 & 7.8 & 16 & 31.2 \\  &#10; 9 & 16.3 & 81 & 146.7 \\ &#10;13 & 26.2 & 169 & 340.6 \\ &#10;17 & 38.9 & 289 & 661.3 \\ &#10;21 & 49.2 & 441 & 1,033.2 \\ &#10;23 & 62.1 & 529 & 1,428.3 \\ [1ex]&#10;\Sigma x=87 & \Sigma y=200.5 & \Sigma x^2=1,525 & \Sigma xy=3,641.3  &#10;\end{tabular}&#10;\end{center}
</span>
Recall that the equation of the regression line is given by
y=a+bx
where
a= \frac{(\Sigma y)(\Sigma x^2)-(\Sigma x)(\Sigma xy)}{n(\Sigma x^2)-(\Sigma x)^2} = \frac{200.5(1,525)-87(3,641.3)}{6(1,525)-(87)^2}  \\  \\ = \frac{305,762.5-316793.1}{9,150-7,569} = \frac{-11,030.6}{1,581} =-6.977
and
b= \frac{n(\Sigma xy)-(\Sigma x)(\Sigma y)}{n(\Sigma x^2)-(\Sigma x)^2} = \frac{6(3,641.3)-(87)(200.5)}{6(1,525)-(87)^2}  \\  \\ = \frac{21,847.8-17,443.5}{9,150-7,569} = \frac{4,404.3}{1,581} =2.7858

Thus, the equation of the regresson line is given by
y=-6.977+2.7858x

The graph of the regression line is attached.

Using the equation, we can predict the percent donated in the year 2015. Recall that 2015 is 35 years after 1980. Thus x = 35.

The percent donated in the year 2015 is given by
-6.977+2.7858(35)=-6.977+97.503=90.526

Therefore, the percent donated in the year 2015 is predicted to be 90.5

7 0
3 years ago
Antonio earned the following points during a game:4.26 points, -3 and one half points, and 7 over 10 points. What is the final s
KiRa [710]

1.46 points put them all in to decimals so 4.26-3.5= .76 + .7 is 1.46

3 0
3 years ago
Which addition property is demonstrated by this problem?<br><br> 23 + (4 + 3) = (23 + 4) + 3
makvit [3.9K]
Answer;
Commutative Property

It is considered commutative when changing the order of the operands does not change the result.

(a brainliest would be appreciated)
8 0
3 years ago
What is the difference between domain and range?
alekssr [168]

Domain: all x values between the ends of a line on the x- axis

Range: all y values between the ends of a line on the y-axis

4 0
2 years ago
If f^-1(x) is the inverse of f(x), which statement must be true?
k0ka [10]
F(f-1x)   will be equal to x

take a simple example 

f(x) = 2x

so x = f(x) / 2

 f-1(x) = x/2

f(f-1x) =  2 ( x/2)  = 2 * x/2 = x
5 0
2 years ago
Read 2 more answers
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