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</p> Signup and view all the answers

    According to the text, where was Pythagoras born?

    <p>Samos</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</p> Signup and view all the answers

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

    <p>Egypt</p> Signup and view all the answers

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

    <p>Pythagoras</p> Signup and view all the answers

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

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

    What teaching is most securely identified with Pythagoras?

    <p>Metempsychosis</p> Signup and view all the answers

    Which philosopher was influenced by Pythagoras's teachings?

    <p>Plato</p> Signup and view all the answers

    Where did Pythagoras found his school?

    <p>Croton</p> Signup and view all the answers

    What is the teaching most securely identified with Pythagoras?

    <p>Metempsychosis</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.</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</p> Signup and view all the answers

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

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

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