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MTH 214 – Quiz 5 1

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MTH 214 – Quiz 5

1. How many batting lineups are there for nine players of a baseball team if the center
fielder must bat fourth, the second baseman must bat third and the pitcher last?
2. Two dice are rolled together. What is the probability of rolling a prime number?
3. Students compiled data for an experiment. Their data consisted of the multiples of 3
between 1 and 100. Find the mean, median, upper quartile and lower quartile of the data.
4. If the measure of each interior angle of a polygon is 176 degrees, how many sides does
the polygon have?
5. Find 7°39’46” + 5°24’33”.
6. A person 6 feet tall casts a 15 foot shadow on a building. How tall is the person who
casts a 10 foot shadow on the building?
7. Solve the system: 2x + 3y = 18
4x – 5y = 14
8. Find the surface area of a right circular cone with radius of 5cm and height of 12cm.
9. Find the volume of a right square pyramid with height of 6cm and side length of the base
of 8cm.
10. Given the line y = 3x – 2 and the point (2, -4), find the equations of the lines parallel and
perpendicular to the line above.