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frosja888 [35]
2 years ago
11

Maritza says that the number y is equal to 2 more than 3 times x. Which of the following equations could be used to find the val

ue of y.

Mathematics
1 answer:
vodka [1.7K]2 years ago
5 0

Answer:

C

Step-by-step explanation:

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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
14) The number of students at LAMS is 1872 students. The ratio of girls to
bogdanovich [222]

Answer:

310

Step-by-step explanation:

total no.of students=1872

ratio of boys to girls=7:5

sum of ratio=total of students

12/12=1872

7/12=?

7/12*1872/1=1092which is the number of girls

1872-1092=780which is the number of boys

difference =1092-780= 310

7 0
3 years ago
Ronnie and Angela went to the pizza shop and each bought a medium pizza. Angela cut her pizza into four pieces and ate three of
Luden [163]

Answer: there is nothing shown below

Step-by-step explanation:

3 0
2 years ago
What sequence matches a_(n)=2a_(n-1)+5, where a_(1)=5
tatuchka [14]

Answer:


Step-by-step explanation: I DON'T CARE


8 0
3 years ago
Chicken wings, chicken tenders or chicken nuggets
wolverine [178]

Answer:

Chicken wings and tender and nuggets YUMMMMM

Step-by-step explanation:

4 0
2 years ago
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