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Nikitich [7]
3 years ago
8

What is the volume of this cone?

Mathematics
1 answer:
Nadya [2.5K]3 years ago
5 0

Answer:

183.17 cm cubed

Step-by-step explanation:

You would multiply 1/3 times pi times the radius squared times the height

so it would look like 1/3 * 3.14 * 5 squared * 7

5 squared is 25 and 25 times 7 is 175

Then you multiply 175 by 3.14 giving you 549.5

then you divide 549.5 by 3 resulting in 183.1667

then you round to 183.17 cm cubed

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Find the least squares regression equation using the school year (in number of years after 2000) for the input variable and the
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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,

We have to calculate the slope and y-intercept, then we can put those values in the equation y = mx + c ( Slope - Intercept formula)

We know that,

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

Putting the values from the table,

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 )

\Rightarrow m =\frac{8161.648-7846.488}{3040-2704} =\frac{315.16}{336}=0.937

Now, for the y-intercept,

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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