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4) Bo, Darius, Kareena, Mary, and Paco all go with Mrs. Smart for math enrichment during math time. When they leave she lines them up by calling out their names, but she does this randomly.
What's the probability that today Darius will be first and Paco will be last? Express your answer as a fraction.
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- The probability that Darius will be first is
__________
- If Darius is first, then there are ____ remaining students that are candidates for the last position so that probability is
__________
- The probability of both happening is:
___________
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5) Temperatures were recorded for 100 days equally spread throughout the year in the small town of Buffon. The data in the bar chart below was uses to create a pie chart with the five categories: 0-20 degrees F, 21-40 degrees F, 41 - 60 degrees F, 61 - 80 degrees F, 81 - 100 degrees F. What is the central angle of the section that represents the 0-20 degree F range? Give your answer to the angle to the nearest degree. Note: a single
bar represents a range of 5 degrees, so the first bar represents temperatures from 1 degree F to 5 degrees F.
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- The 0-20 degree part is the sum of the first 4 bars = _____ days
- The 0-20 part is _____% of the pie chart = ______ degrees angle at the middle of the pie chart.
Note: You don't really need all those bars over 20 degrees.
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