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My name is Ann [436]
4 years ago
12

How to find the time taken to fill of the lower container?

Mathematics
2 answers:
Nimfa-mama [501]4 years ago
5 0
Volume of lower cylinder = π * r^2 * 2h = 2πr^2h
Volume of upper cylinder = π * (2r)^2 * h = 4πr^2h
Volume of container = 2πr^2h + 4πr^2h = 6πr^2h
It took 18 minutes to fill the container of volume 6πr^2h, the it will take 2 * 18 / 6 = 6 minutes to fill the lower container of 2πr^2h.
Answer: 6 minutes
Anna [14]4 years ago
3 0
Here you have the solution. If you are interested in the law which I have used here, you can read about countinuity of fluid principle.

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Ms. Carpse writes the following problem on the board. A 20-feet length of ribbon is cut into 4 equal pieces. How many inches lon
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Both of the Students are correct, where the units are the same in the beginning and at the end. If you divide 20 feet by 4, you get 5 feet or 60 inches. If you convert 20 feet to inches, you get 240 inches. When you divide 240 by 4, you get 60 inches. Therefore, they both are correct. 
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3 years ago
4. The distance from lan's home to the museum
Hitman42 [59]

Answer:

no bc 2640 yards in feet is 7920

Step-by-step explanation:

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3 years ago
What is the probability of rolling a number greater than or equal to 8 with the sum of two dice given that at least one of the d
agasfer [191]
I get that the probability is of 5/36, because there are only 5 (6,2 ;6,3 ;6,4 ;6,5 ;6,6) and there are 36 combinations
I Hope this help you
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3 years ago
Let X be the number of accidents per week at the Hillsborough Street roundabout by the NCSU Bell Tower. Assume X varies with mea
Eduardwww [97]

Answer:

1) 0.1587 = 15.15% probability that x is less than 2

2) 7.64% probability that there are fewer than 100 accidents at the roundabout in a year

Step-by-step explanation:

To solve this question, we need to understand the normal probability distribution and the Central limit theorem.

Normal probability distribution

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.

Central Limit Theorem

The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean \mu and standard deviation \sigma, the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean \mu and standard deviation s = \frac{\sigma}{\sqrt{n}}.

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

In this problem, we have that:

\mu = 2.2, \sigma = 1.4

1)

Here we have \mu = 2.2, s = \frac{1.4}{\sqrt{52}} = 0.194

What is the probability that x is less than 2?

This is the pvalue of Z when X = 2.

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

By the Central Limit Theorem

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

Z = \frac{2 - 2.2}{0.194}

Z = -1.03

Z = -1.03 has a pvalue of 0.1515

0.1587 = 15.15% probability that x is less than 2

2)

100/52 = 1.9231

This is the pvalue of Z when X = 1.9231

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

Z = \frac{1.9231 - 2.2}{0.194}

Z = -1.43

Z = -1.43 has a pvalue of 0.0764

7.64% probability that there are fewer than 100 accidents at the roundabout in a year

6 0
3 years ago
Fine the sum of the first 17 terms of the arithmetic sequence 10,14,18,22,26
Natasha2012 [34]
10,14,18,22,26,30,34,38,42,46,50,54,58,62,66,70,74
7 0
4 years ago
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