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Lana71 [14]
4 years ago
9

Please help ASAP THANKS x

Mathematics
1 answer:
Trava [24]4 years ago
8 0
The formula of the volume of the sphere:
V=\dfrac{4}{3}\pi r^3
We have a diameter. It's equal double radius.
Therefore
2r=9\dfrac{1}{2}\\\\2r=9.5\ \ \ |:2\\\\r=4.75\ in.

V=\dfrac{4}{3}\pi\cdot(4.75)^3\approx449\ in^3.
Answer: D. 449 cubic inches.


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Let x be the number of students who eat cauliflower.

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Let n be the total number of students surveyed.

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Thus, \hat p=\frac{4}{39} =0.10256

Now, for 90% confidence level, from the table we know that Z=1.645.

The formula for the interval range of proportion of students is :

p= \hat p\pm Z\sqrt{\frac{\hat p(1-\hat p)}{n}}

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p=0.10256\pm 1.645\sqrt{\frac{0.10256(1-0.10256)}{39}}=0.10256\pm 0.04858=0.15114, 0.05398

Thus, Jane is 90% confident that the population proportion p, for students who eat cauliflower in her campus is between 5.398% and 15.114% (after converting the answer we got to percentage).

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