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NeX [460]
3 years ago
12

Area of a circular ring: A = 4

bsmiddle" class="latex-formula">pw
Solve for p. Find p when A = 22 cm^2 and w = 2 cm

Perimeter of a track: P = 2\pir + 2x
Solve for r. Finf r when P = 440 yrds and x = 110 yrds
Mathematics
1 answer:
OleMash [197]3 years ago
8 0
1a)      A = 4πpw
      /4πw = /4πw
  A / 4πw = p

1b) A = 4πpw
     22 = 4πp(2)
       p = 11/4π (≈0.87)

2a)        P = 2πr + 2x
      P - 2x = 2πr
        /2π      /2π
 P-2x / 2π = r

2b)    P = 2πr + 2x
      440 = 2πr + 2(110)
          r = 110/π (≈35.014)
      

      
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Give three numbers whose product is 9000
Klio2033 [76]
<span>Product means, the answer of numbers being multiplied with each other.
In the given situation, we need to find three numbers that will be multiplied with each other to get a product which is 9000.</span> <span>Now, let’s find the possible numbers to be multiplied:
=> 300 X 30 X 1
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3 0
3 years ago
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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.
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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}
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Recall that the equation of the regression line is given by
y=a+bx
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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
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ZanzabumX [31]

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