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Andrei [34K]
3 years ago
13

The ratio of the Areas of the bases of these cones is 9 to 4.

Mathematics
1 answer:
Lapatulllka [165]3 years ago
7 0

Answer:

Step-by-step explanation:

This is something you learn in Geometry.  Gotta love Geometry and all of its hundreds of rules for triangles and circles and all that good stuff!!

The rule for similar figures is

ratio of perimeter (one-to-one)-->area (square the one-to-one)-->volume (cube the one-to-one).

We are given area.  You CANNOT CUBE THE AREA MEASURES TO GET TO THE VOLUME!! You have to find the one-to-one first and then go forward from there.

If the area is the one-to-one squared, then

\frac{\sqrt{9} }{\sqrt{4} }=\frac{3}{2}

The one-to-one is 3:2.  To get to the volume now, cube those one-to-one values:

\frac{3^3}{2^3}=\frac{27}{8}

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<u>Answer-</u>

<em>The least squares regression equation using the school year (in number of years after 2000) for the input variable and the average cost (in thousands of dollars) for the output variable is "y=0.937x+12.765" .</em>

<u>Solution-</u>

The independent variable / input variable= x = Number of years after 2000 ( = year-2000)

The dependent variable / output variable = y = Average cost in thousands of dollars

(The table has been attached herewith.)

To find the regression equation for a group of (x,y) points,

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Slope=m=\frac{N\sum xy -\sum x\sum y}{N\sum x^{2}- (\sum x)^{2}}

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m=\frac{(8 \times 1020.206)-(52 \times 150.894)}{(8 \times 3810)-(52^2)}

( ∵ Instead of 150,894 we have to put 150.894 as we have find the line for year and thousands of dollars )

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c =\frac{\sum y -m(\sum x)}{N}

Putting the values,

c=\frac{150.894-(52 \times 0.937)}{8}=\frac{102.125}{8}=12.765

Now, putting the values of c and m, in the Slope-Intercept formula,

y=0.937x+12.765


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