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bogdanovich [222]
3 years ago
8

What is the volume, in cubic cm, of a cylinder with a height of 8cm and a base radius of 7cm, to the nearest tenths place?

Mathematics
1 answer:
FromTheMoon [43]3 years ago
7 0

Answer:

Volume of the cylinder =  1230.88\,cm^3

Step-by-step explanation:

Height(h) of the cylinder = 8 cm

Radius(r) of the base= 7cm

Volume of a cylinder is:

                  = \pi \times r^2\times h

As,

   \pi =\dfrac{22}{7} = 3.14

Putting the values in the formula:

Volume is:

           =3.14\times(7\times7)\times8\\\\=3.14\times49\times8\\\\=3.14\times392\\\\=1230.88\,cm^3

The volume of the cylinder is :  1230.88\,cm^3

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X - 7y - 10<br> - x - 7y + 10<br> x - 7y + 10<br> Find the quotient. (5x - 35y + 50) ÷ 5
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The weight for crates of apples is normally distributed with a mean weight of 34.6 pounds and a standard deviation of 2.8 pounds
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Answer:

42.22% probability that the weight is between 31 and 35 pounds

Step-by-step explanation:

Problems of normally distributed samples are solved using the z-score formula.

In a set with mean \mu and standard deviation \sigma, the zscore of a measure X is given by:

Z = \frac{X - \mu}{\sigma}

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

In this problem, we have that:

\mu = 34.6, \sigma = 2.8

What is the probability that the weight is between 31 and 35 pounds

This is the pvalue of Z when X = 35 subtracted by the pvalue of Z when X = 31. So

X = 35

Z = \frac{X - \mu}{\sigma}

Z = \frac{35 - 34.6}{2.8}

Z = 0.14

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42.22% probability that the weight is between 31 and 35 pounds

6 0
3 years ago
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