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CAHSEE practice: Problems 17-19 | CAHSEE | Khan Academy

December 4, 2009
by
Khan Academy
YouTube video player
CAHSEE practice: Problems 17-19 | CAHSEE | Khan Academy

TL;DR

This content consists of solving three math problems, including predicting a number of girls who will like a book, calculating the probability of selecting a specific letter from a bag, and analyzing a scatterplot to determine the relation between age and distance from school.

Transcript

Problem 17: Michelle read a book review and predicted that the number of girls who will like the book will be more than twice the number of boys who will like the book. So, she predicted that the girls would be more than twice -- let me box it out -- more than twice the number of boys who will like the book. Which table shows data that supports her... Read More

Key Insights

  • ⚾ Prediction based on comparing numbers is the focus of Problem 17.
  • #️⃣ The probability of an event with replacement can be easily calculated by considering the total number of outcomes and the number of desired outcomes, as shown in Problem 18.
  • 🤕 The scatterplot in Problem 19 doesn't exhibit a clear relationship between age and distance from school.

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Questions & Answers

Q: How does Michelle predict the number of girls who will like the book in Problem 17?

Michelle predicts that the number of girls who will like the book will be more than twice the number of boys who will like the book.

Q: Why is the information about putting the S tile back in the bag irrelevant in Problem 18?

Putting the S tile back in the bag doesn't change the probability since all the tiles are still in the bag, resulting in the probability of selecting an S being 3/10.

Q: What statement best describes the relation between age and distance from school in Problem 19?

None of the statements accurately describe the relation as the scatterplot shows no clear trend between age and distance from school.

Q: How does the speaker solve Problem 17?

The speaker compares the number of girls and boys in different tables to find the one where the girls' number is more than twice the boys' number.

Summary & Key Takeaways

  • Problem 17 involves predicting the number of girls who will like a book to be more than twice the number of boys.

  • Problem 18 asks for the probability of selecting the letter "S" again from a bag after it has been put back.

  • Problem 19 requires analyzing a scatterplot to describe the relationship between age and distance from school.


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