Calculation Problems
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1. How many 8 letter arrangements can be made from the word RECYCLE?
2. In an experiment, a student is randomly selecting a letter from one of 4 boxes after selecting the first box at random. What is the probability the student will select the letter A?
Box 1 has letters S,O,H
Box 2 has letters S,O,H
Box 3 has letters C,A,H
Box 4 has letters T,O,A
3. A tree is growing perpendicular to the horizon on a slope with an angle of depression of 20 degrees below horizontal. the tree casts a 75 foot shadow down the slope. The sun has an elevation of 60 degrees above horizontal. What is the height of the tree?
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This solution helps with problems regarding letter arrangements, probability, random selection and calculating slopes.
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1. How many 8 letter arrangements can be made from the word RECYCLE?
Solution: Since we only have 7 letters in the word RECYCLE, we cannot form any 8-letter arrangement since we lack 1 letter to complete the 8 letters required. So we have:
P = 0
If we ...
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