Pythagoras
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Questions and Answers

Which ancient Greek philosopher is credited with discovering the Pythagorean theorem?

  • Aristotle
  • Socrates
  • Pythagoras (correct)
  • Plato

Which of the following is NOT credited to Pythagoras?

  • Pythagorean tuning
  • The discovery of gravity (correct)
  • The Theory of Proportions
  • The five regular solids

Which ancient Greek philosopher was influenced by Pythagorean teachings?

  • Plato (correct)
  • Aristotle
  • Heraclitus
  • Socrates

According to the text, which two philosophers wrote later biographies of Pythagoras?

<p>Porphyry and Iamblichus (C)</p> Signup and view all the answers

According to the text, where was Pythagoras born?

<p>Samos (C)</p> Signup and view all the answers

According to the text, what did the Pythia prophesy to Pythagoras's mother?

<p>He would give birth to a man supremely beautiful, wise, and beneficial to humankind (D)</p> Signup and view all the answers

According to the text, where did Pythagoras study and learn to speak Egyptian?

<p>Egypt (C)</p> Signup and view all the answers

Which ancient Greek philosopher is considered the eponymous founder of Pythagoreanism?

<p>Pythagoras (A)</p> Signup and view all the answers

When did Pythagoras travel to Croton in southern Italy to found a school?

<p>Around 530 BC (D)</p> Signup and view all the answers

What teaching is most securely identified with Pythagoras?

<p>Metempsychosis (D)</p> Signup and view all the answers

Which philosopher was influenced by Pythagoras's teachings?

<p>Plato (A)</p> Signup and view all the answers

Where did Pythagoras found his school?

<p>Croton (A)</p> Signup and view all the answers

What is the teaching most securely identified with Pythagoras?

<p>Metempsychosis (D)</p> Signup and view all the answers

Which of the following is true about constructing a confidence interval for the difference between two means?

<p>The two samples must be independent of each other. (A)</p> Signup and view all the answers

What distribution is used to determine a confidence interval that uses an estimated variance in place of the unknown value?

<p>T-distribution (B)</p> Signup and view all the answers

What is an unbiased estimate of the variance for a random sample?

<p>$(xi - x̄)2 / (n - 1)$ (D)</p> Signup and view all the answers

What is the distribution used to determine a confidence interval for the ratio of two variances?

<p>F-distribution (B)</p> Signup and view all the answers

What is the condition for choosing alpha and beta to minimize the length of the confidence interval for the ratio of two variances?

<p>The sample size n must be large. (D)</p> Signup and view all the answers

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