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sergey [27]
2 years ago
12

T=4U/E SOLVE FOR U please please please help please thank you

Mathematics
1 answer:
vlada-n [284]2 years ago
3 0
TE/4 =U
Step by step
You multiply both sides by E to get rid of it then you have TE =4U and then u divide it by 4 and get TE/4 =U
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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
Lynn has a box of crayons.
Scrat [10]

Answer:

<em>There are 72 crayons in the box</em>

Step-by-step explanation:

<u>Fractions</u>

To solve this problem we'll manage numbers as fractions to keep the precision up to the end of it.

Lynn has a box of crayons. It's given 4/9 of the crayons are blue. The remaining crayons are:

1-\frac{4}{9}=\frac{5}{9}

From that portion, 65% are red, or equivalently, 35% are yellow.

We write 35% as a fraction:

\displaystyle 35\%=\frac{35}{100}=\frac{7}{20}

Thus, the portion of yellow crayons is:

\displaystyle \frac{7}{20}\cdot \frac{5}{9}=\frac{7}{36}

This fraction of x crayons is equal to 14, thus:

\displaystyle x=\frac{14}{\frac{7}{36}}=14\cdot\frac{36}{7}

x = 72

There are 72 crayons in the box

7 0
2 years ago
If ?2000 is placed into a bank account that pays 3% compound interest per year,how much will be in the account after 2 years?
Ipatiy [6.2K]

Answer:

There would be $2,120

Step-by-step explanation:

First figure out what 3% of 2000 is which is 60. Multiply the 60 by 2 to get 120 then add 120 to 2000

3 0
3 years ago
Read 2 more answers
Need help.<br> Picture has it all..<br> Correct answers only please.
Serggg [28]
Tan x degrees = 31

To find X use arctan.

x = arctan(31)

x = 88.15

x = 88.2 (rounded to the nearest tenth)
7 0
2 years ago
What is the ratio 1.12 turned in to a fraction in simplest form?
vagabundo [1.1K]
1.12=1 12/100=1 3/25 
         or 28/25
4 0
2 years ago
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