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Is it safer to use vacuum systems than pressured systems?PowerPoint Presentation

Is it safer to use vacuum systems than pressured systems?

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Graph Interpretation Problems

- Graph vs. picture
- Slope vs. height
- Disconnect from data tables

Which is bigger?

- 1/3 vs. 1/8
- 2.36 vs. 4.2
- g vs. mg

Examples of Math Misconceptions

- Multiplication always creates bigger numbers.
- Multiplication by 10 adds a zero.

Statistics:Correlation vs. Causation

- Belief: Fluoridated water causes cancer.
- Belief: Vaccines cause autism.

If you have 23 people in a room, what is the probability that two of them will have the same birthday?

The Birthday ProblemAnd then there’s the that two of them will have the same birthday?Hadron Collider…

Misunderstanding Probability that two of them will have the same birthday?

- Genetics
- Health

Which sounds worse? that two of them will have the same birthday?

- A woman born today has a 1 in 8 chance of developing breast cancer.
- 88% of the women born today will never develop breast cancer.

Mammography Statistics that two of them will have the same birthday?

- The probability that a woman has breast cancer is 1%.
- If a woman has breast cancer, the probability that she tests positive is 90%.
- If a woman does not have breast cancer, the probability that she nevertheless tests positive is 9%.

A woman has a positive mammogram. What is her

risk of actually having breast cancer?

A. Out of 10 women with a positive mammogram, ~9 have breast cancer.

B. Out of 10 women with a positive mammogram, ~1 has breast cancer.

C. The probability that she has breast cancer is about 1%.

Guidelines for Preventing Math Errors that two of them will have the same birthday?

- Keep track of all information (paper trail).
- Use visual keys, such as arrows.
- Keep track of units.
- State answer clearly, WITH UNITS.
- Check that your answer makes sense.

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