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viva [34]
3 years ago
8

The Collatz conjecture is one of the most famous unsolved mathematical problems, because it's so simple, you can explain it to a

primary-school-aged kid, and they'll probably be intrigued enough to try and find the answer for themselves.
Mathematics
1 answer:
Vinil7 [7]3 years ago
6 0

Hi, you've asked an incomplete question. However, I inferred you need a brief explanation about The Collatz conjecture.

<u>Explanation:</u>

Put simply, what the Collatz conjecture unsolved problem entails is that if any positive number is picked and it is:

  1. An even number (eg 2, 4, 6,...), then if they are divided by 2,  the new number gotten should undergo the same process (that is to be divided by 2), it is believed your calculation would finally end up at 1. For example, let's pick the number 6, (6÷2=4; repeating the process 4÷2=<u>1</u>)
  2. An odd number, then if they are multiplied by 3 and 1 is added to the result, it is believed that your calculation would finally end up at 1.
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A new catalyst is being investigated for use in the production of a plastic chemical. Ten batches of the chemical are produced.
zzz [600]

Answer:

CI=(66.54,78.46)                                  

Step-by-step explanation:

Given : A new catalyst is being investigated for use in the production of a plastic chemical. Ten batches of the chemical are produced. The mean yield of the 10 batches is 72.5% and the standard deviation is 5.8%. Assume the yields are independent and approximately normally distributed.

To find : A 99% confidence interval for the mean yield when the new catalyst is used ?

Solution :

Let X be the yield of the batches.

We have given, n=10 , \bar{X}=72.5\% , s=5.8%

Since the size of the sample is small.

We will use the student's t statistic to construct a 995 confidence interval.

\bar X\pm t_{n-1,\frac{\alpha}{2}}\frac{s}{\sqrt n}

From the t-table with 9 degree of freedom for \frac{\alpha}{2}=0.005

t_{n-1,\frac{\alpha}{2}}=t_{9,0.005}

t_{n-1,\frac{\alpha}{2}}=3.250

The 99% confidence interval is given by,

CI=72.5 \pm 3.25\frac{5.8}{\sqrt{10}}

CI=72.5 \pm 5.96

CI=(72.5+5.96),(72.5-5.96)

CI=(66.54,78.46)

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3 years ago
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(1,0) (0,2)

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I don't understand your question
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What is the difference between 6 2/4 and 1/6????? PLEASE HELP ME
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Step-by-step explanation:

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3 years ago
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