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ch4aika [34]
3 years ago
11

Help Please . its due in 5 hours and i cant find answers

Mathematics
1 answer:
dolphi86 [110]3 years ago
6 0

Answer:

39 pi cubic inches

Step-by-step explanation:

The volume of a cone is (1/3)(area of the base)(height).

V=\frac{1}{3}Bh

Find the area of the circular base.  The circumference of a circle is C=2\pi r, so

2\pi r = 6\pi\\\\r=3

Now that you know the radius of the circular base, you can find its area:

A=\pi r^2 = \pi(3^2)=9\pi

The height of the cone is 13.  Time to use the volume formula.

V=\frac{1}{3}Bh\\\\V=\frac{1}{3}(9\pi)(13)\\\\V=39\pi

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Part A:

The sample mean is given by:

\bar{x}= \frac{1229+1292+1187+1257+1268+1316+1275+ 1317+1275}{9} \\  \\  = \frac{11416}{9} =1268

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Part B:

We calculate the sample standard deviation as follows:

s= \frac{1}{9-1} \left(\sqrt{(1229-1268)^2+(1292-1268)^2+(1187-1268)^2+(1257-1268)^2+(1268-1268)^2+(1316-1268)^2+(1275-1268)^2+(1317-1268)^2+(1275-1268)^2}\right)\\ \\ = \frac{1}{8}\left(\sqrt{(-39)^2+24^2+(-81)^2+(-11)^2+0^2+48^2+7^2+49^2+7^2}\right)\\ \\ = \frac{1}{8}\left(\sqrt{1521+576+6561+121+2304+49+2401+49}\right)\\ \\ = \frac{1}{8}\left(\sqrt{13,582}\right)\\ \\ = \frac{1}{8}(116.54)=14.57\approx15



Part C:

The 90% confidence interval is given by:

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I hope this is useful for you

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Step-by-step explanation: there lemmie know if you need anymore help God bless!

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