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alisha [4.7K]
3 years ago
10

 The volume of a cylinder is

Mathematics
1 answer:
Dima020 [189]3 years ago
7 0

The volume of a cylinder is equal to \frac{1}{3}\pi  r^{2} h, where r is the radius of the cylinder and h is its height.

324 =  \frac{1}{3}\pi  r^{2} h

324 = \frac{1}{3} x 3.14 x r^{2} x 1

309.55 = r^{2}

r = \sqrt{309.55}

r = approx. 17.59 inches

I hope this answer helped you! If you have any questions, feel free to ask away.

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Answer:

1) option C, 4b + 4

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A genetic experiment with peas resulted in one sample of offspring that consisted of 438 green peas and 173 yellow peas.
Andre45 [30]

Answer:

a

The 95% confidence interval is 0.2474 < p < 0.3188

b

  The result obtained does not contradict expectation

Step-by-step explanation:

From the question we are told that

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   The number of yellow peas is u =  173

Generally the sample size is mathematically represented as

       n  =  k + u

=>    n  = 438 + 173

=>    n  = 611

Generally the sample proportion for yellow peas is

      \^ p = \frac{u}{n}

=>   \^ p = \frac{173}{611 }

=>   \^ p = 0.2831

From the question we are told the confidence level is  95% , hence the level of significance is    

      \alpha = (100 - 95 ) \%

=>   \alpha = 0.05

Generally from the normal distribution table the critical value  of  \frac{\alpha }{2} is  

   Z_{\frac{\alpha }{2} } =  1.96

Generally the margin of error is mathematically represented as  

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=>  E =  1.96 * \sqrt{\frac{ 0.2831 (1- 0.2831)}{611} }

=>  E =  0.0357

Generally 95% confidence interval is mathematically represented as  

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=>     0.2831  -0.0357

=>     0.2474 < p < 0.3188

From the question we are told that it was expected that 25% of the offspring peas will be yellow

   Now from the 95% confidence interval obtained we see that the expected sample proportion(25% ) falls within it so  it means that the result obtained does not contradict expectation

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2 years ago
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kotykmax [81]
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Answer:

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