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yanalaym [24]
2 years ago
7

What is the best estimate for 82% of 503?

Mathematics
1 answer:
AleksAgata [21]2 years ago
5 0
82% of 503 is 412.46 hope this helps
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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
Select the correct answer.
kobusy [5.1K]

9514 1404 393

Answer:

  A.  f^-1(x) = x³ -12

Step-by-step explanation:

The inverse function can be found by solving ...

  x = f(y)

  x = ∛(y +12) . . . . . use the definition of f(x)

  x³ = y +12 . . . . . . . cube both sides to eliminate the radical

  x³ -12 = y . . . . . . . add -12 to isolate the y-variable

  f^-1(x) = x³ -12 . . . matches choice A

7 0
3 years ago
Find the discriminant, describe the types of roots, and find the solution for 3x^2-24x+12
solniwko [45]
The discriminant of a polynomial is given by:
 b ^ 2-4ac
 Substituting the values we have:
 (-24) ^ 2-4 * (3) * (12) = 432
 Since the discriminator is greater than zero, then the roots are real.
 x = (- b +/- root (b ^ 2-4ac)) / (2a)
 Substituting the values:
 x = (- (- 24) +/- root (432) / (2 * (3))
 x = (- (- 24) +/- root (432) / (2 * (3))
 x = (- (- 24) +/- root (144 * 3) / (2 * (3))
 x = (24 +/- 12raiz (3) / (6)
 x = 4 +/- 2raiz (3)
 The roots are:
 x1 = 4 + 2raiz (3)
 x2 = 4 - 2raiz (3)
 Answer: 
 432
 the roots are real.
 
x1 = 4 + 2raiz (3)
 
x2 = 4 - 2raiz (3)
4 0
3 years ago
Helllllp plz!!!! I really need it!!!!
ahrayia [7]

Answer:

The second one

Step-by-step explanation:

Its not the third one because it is an equilateral

its not the first one because it is not obtuse

The triangle is isosceles

obtuse means the angles are big

the angles are small so they are acute

I hope this helps you

8 0
3 years ago
Read 2 more answers
Which numerical expression represents the following calculation?
soldi70 [24.7K]

Answer:

I think it's c tell me it i'm wrong

Step-by-step explanation:

they both have and so it would be times  

5 0
3 years ago
Read 2 more answers
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