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yanalaym [24]
3 years ago
13

The following points are the vertices of a shaded triangle. (2,5), (6,−3), (−2,−3) a. Write a system of linear inequalities repr

esented by the shaded triangle. Left boundary inequality: Right boundary inequality: Lower boundary inequality: b. Find the area of the triangle. square units

Mathematics
2 answers:
raketka [301]3 years ago
8 0
We are going to find the plot where this coordinates are in the graph.

Your graph will be in the attachment below.

~Jurgen




Tanzania [10]3 years ago
8 0
The following points are the vertices of a shaded triangle. (2,5), (6,−3), (−2,−3) a. Write a system of linear inequalities represented by the shaded triangle. Left boundary inequality: Right boundary inequality: Lower boundary inequality: b. Find the area of the triangle. square units <span> Ask for details Follow Report </span><span> by Elsakabeche <span>46 minutes ago</span></span>
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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
I need help with this now pls!!
zubka84 [21]

Answer:

first box 9.6 2nd box 7.2 third box 12

Step-by-step explanation:

9.6 is the missing height 12 is the hypotenuse is always last

6 0
3 years ago
Anyone want to help with more questions after this question I’ll give you brainlets
IRISSAK [1]

Answer:

its d

Step-by-step explanation:

5 to the fourth power *since you timesed 5x5 four*4* times

5 0
3 years ago
Owen had 18 guitars. He sold 5 guitars and kept the rest. What is the ratio of guitars he kept to guitars he sold?
Romashka [77]

Answer:

to get what he kept subtract 5 from 18, to get 13 so 13 was kept. the ratio will be kept:sold which is 13:5

3 0
3 years ago
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Find the value of x so that the function has the given value.<br><br> t(x)=-4x-5 <br><br> t(x)=3
Sveta_85 [38]

Answer:

x = 8 since 3 × 8 = 24

4 0
2 years ago
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