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julia-pushkina [17]
3 years ago
6

One-third of the dairy cattle on a farm are in the barn. Three-fifths of the beef cattle are in the barn. There are 30 dairy cat

tle and 15 beef cattle in the barn. How many more dairy cattle are on the farm than beef cattle?
Mathematics
2 answers:
SSSSS [86.1K]3 years ago
4 0
There are 50 more dairy cattle than beef cattle.
user100 [1]3 years ago
4 0
Given that 30 = 1/3rd of the total Dairy Cattle that means there are 2 more sets of 30 elsewhere. 30 x 3 = 90 Dairy Cattle total.

If 15 is 3/5ths of the beef cattle then that means that 1/5th is 5 (Since 15 divided by 3 = 5). This means that in total (Since 1/5th is 5) you can multiply 5 by 5 to get 25 Beef Cattle total. 

Overall 90 - 25 = 65 more Dairy Cattle total
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Step-by-step explanation:

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

Normal probability distribution

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

If n variables are added, the mean is n\mu and the standard deviation is s = \sqrt{n}\sigma

In this problem:

n = 16, \mu = 160*16 = 2560, s = \sqrt{16}*27 = 108

What is the probability that the random sample of 16 people in the elevator will exceed the weight limit?

This is 1 subtracted by the pvalue of Z when X = 2750. So

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

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0.039 = 3.9% probability that the random sample of 16 people in the elevator will exceed the weight limit

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