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Grading Policies

In a certain course, the Professor has two different grading policies, from which he picks the best. The first policy is to put 40% and 60% weights, respectively, on the midterm and final exams. Under the second grading policy, these weights are 50% each. A student has scored 85% on the midterm, and needs to score at least x% on the final to make a B (a total of 82%). What is the value of x?

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Smallest Variance

Which of the following data sets contains the smallest variance?

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Olympic Speed

An Olympic gold medalist runs 100 meters in 9.7 seconds. What is his average speed in miles per hour?

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On The Podium

In how many different ways can the first, second and third prize winners be selected from a group of 8 people running a race? [assume that there are no ties].

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Two Trains

Two trains are approaching each other from opposite directions with the speeds 10 miles per hour and 20 miles per hour, and heading for a collision. If they are a quarter mile apart, how long will it take for them to collide?

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Pick Teams

From a group of 5 men and 7 women, in how many different ways can a team of 2 men and 3 women be formed?

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What’s My Age Again

A father’s age is twice the sum of the ages of his four sons. In 30 years, the total of the sons’ ages will be twice the age of their father. How old is the father now?

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Scientific Notation

What is 2004.28 in scientific notation?

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Average Height

If the heights of three people are 5’8”, 5’2”, and 6’2”, what is their average height?

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Ace of Spades

A standard deck of 52 cards contains 13 cards each from the four suits: spades, clubs, diamonds and hearts. If two cards are randomly picked without replacement, what is the probability that they are both diamonds?

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