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3 years ago

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Pythagorean Brotherhood was a secret society but a little is known about it. Suggest principles of their education. Discuss the

relevance of them to the study of mathematics in modern schools.

1 answer:

yan [13]3 years ago

6 0

Answer:

They use Phylosophy as a means of Spiritual cleansing.

The Pythagorean theorem.

The Demand that members must live in strict secrecy and loyalty.

The appeal to certain symbols like Tetraktys etc.

They believe the soul is destined for heaven,where it will United with the Divine.

They believe that reality including music and astronomy when at their repeat level are Mathematical in nature.

Step-by-step explanation: The Pythagorean brotherhood is believed to have originated from Sounthern Italian city known as Croton. It was started by a man called Pythagoras from Samos Greece, he is a controversial phylosopher.

The Pythagorean brotherhood formulated one the most widely used Theorems in Geometry which states that THE SQUARE OF THE HYPTHEMUS OF A RIGHT ANGLED TRIANGLE IS EQUAL TO THE SQUARE OF THE OPPOSITE AND THE BASE.

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3 years ago

The USDA conducted tests for salmonella in produce grown in California. In an independent sample of 252 cultures obtained from w

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Answer:

The decision rule is

Fail to reject the null hypothesis

The conclusion is

There no sufficient evidence to show that the proportion of salmonella in the region’s water differs from the proportion of salmonella in the region’s wildlife

Step-by-step explanation:

From the question we are told that

The first sample size is $n_1 = 252$

The number that tested positive is $k_1 = 18$

The second sample size is $n_2 = 476$

The number that tested positive is $k_2 = 20$

The level of significance is $\alpha = 0.01$

Generally the first sample proportion is mathematically represented as

$\^ p _1 = \frac{k_1 }{ n_1 }$

=> $\^ p _1 = \frac{18 }{ 252 }$

=> $\^ p _1 = 0.071$

Generally the second sample proportion is mathematically represented as

$\^ p _2 = \frac{k_2 }{ n_2 }$

=> $\^ p _2 = \frac{20 }{ 476}$

=> $\^ p _2 = 0.042$

The null hypothesis is $H_o : p_1 - p_2 = 0$

The alternative hypothesis is $H_a : p_1 - p_2 \ne 0$

Generally the test statistics is mathematically represented

$z = \frac{ \^ p_1 - \^ p_2 - ( p_ 1 - p_2 )}{ \sqrt{\frac{\^ p_1 (1-\^ p_1)}{ n_1 } + \frac{\^ p_2 (1-\^ p_2)}{ n_2 } } }$

=> $z = \frac{ 0.071 - 0.042 - 0 }{ \sqrt{\frac{0.071 (1-0.071)}{ 252 } + \frac{0.042 (1-\^ 0.042)}{ 476 } } }$

=> $z = 1.56$

From the z table the area under the normal curve to the right corresponding to 1.56 is

$P(Z > 1.56 ) =0.05938$

Generally the p-value is mathematically represented as

$p-value = 2 * P(Z > 1.56 )$

=> $p-value = 2 * 0.05938$

=> $p-value = 0.1188$

From the value obtained we see that $p-value > \alpha$ hence

The decision rule is

Fail to reject the null hypothesis

The conclusion is

There no sufficient evidence to show that the proportion of salmonella in the region’s water differs from the proportion of salmonella in the region’s wildlife

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