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ddd [48]
3 years ago
10

A frustum is made by removing a small cone from a similar large cone. Work out the volume of the frustum, below. Give your answe

r in terms of pie

Mathematics
1 answer:
AlekseyPX3 years ago
3 0

Answer:

Step-by-step explanation:

volume of cone=1/3 πr²h

volume of frustum=vol of larger cone-vol of smaller cone=1/3πR²H-1/3πr²h

=1/3π(R²H-r²h)

=1/3π(4.5²×9-3²×6)

=1/3π×9×3(4.5×1.5-2)

=9π(6.75-2)

=9π×4.75

=42.75π cm³

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Misha Larkins [42]

Answer:

43100 \leq \mu \leq 59710

And for this case we want to test the following hypothesis:

Null hypothesis: \mu =42000

Alternative hypothesis: \mu \neq 42000

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Step-by-step explanation:

The confidence interval for the mean is given by the following formula:

\bar X \pm t_{\alpha/2}\frac{s}{\sqrt{n}}   (1)

And for this case the 95% confidence interval is already calculated as:

43100 \leq \mu \leq 59710

And for this case we want to test the following hypothesis:

Null hypothesis: \mu =42000

Alternative hypothesis: \mu \neq 42000

For this case since the lower value of the confidence interval is higher than 42000 we have enough evidence to reject the null hypothesis at the 55 of significance and we can conclude that the true mean is significantly different from 42000

7 0
3 years ago
Compare -5 and -3.
Nuetrik [128]

Answer:

Simplifying then comparing both terms

−5 and −3, −5 is less than −3, which means that the first term is less than the second term.  −5 < −3

Step-by-step explanation:

Hope this helps have a good day^^

7 0
3 years ago
What is 5-2+5-54-3+405+12-9
Ad libitum [116K]

Answer:

359

Step-by-step explanation:

5-2+5-54-3+405+12-9=359

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