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Elza [17]
3 years ago
6

the formula for the volume of a cone is v=1/3 pi times r squared h where v represents the volume, r represents the radius of the

base, and h represents the height. what is the height of a cone with a volume of 66 cubic centimeters and a base with radius of 3 centimeters

Mathematics
1 answer:
Igoryamba3 years ago
3 0
The formula for the volume of a cone is v=1/3 pi times r squared h where v represents the volume, r represents the radius of the base, and h represents the height. what is the height of a cone with a volume of 66 cubic centimeters and a base with radius of 3 centimeters

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Answer:Its N and Q

Step-by-step explanation:

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3 years ago
A worn, poorly set-up machine is observed to produce components whose length X follows a normal distribution with mean 14 centim
Akimi4 [234]

Answer:

74.86% probability that a component is at least 12 centimeters long.

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 = 14

Variance is 9.

The standard deviation is the square root of the variance.

So

\sigma = \sqrt{9} = 3

Calculate the probability that a component is at least 12 centimeters long.

This is 1 subtracted by the pvalue of Z when X = 12. So

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

Z = \frac{12 - 14}{3}

Z = -0.67

Z = -0.67 has a pvalue of 0.2514.

1-0.2514 = 0.7486

74.86% probability that a component is at least 12 centimeters long.

6 0
3 years ago
What is the domain of the function y=x-1 ​
Amiraneli [1.4K]

Answer:

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Step-by-step explanation:

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Domain is the x-values that a function has, while range is the y-values.

Since the domain and range are infinite, it is all real numbers.

Hope this helps!

Edit: forgot the image

I zoomed out 2 million units out so you get what im saying kinda

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4 years ago
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Step-by-step explanation:

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