UIL A Problems

[MML55]

Hello, I have a couple of questions. I'm a freshman in high school, so some of these may be simple.

6. A male zebra fish has 8 stripes. A female zebra fish has 7 stripes. What is the ratio of male fish to female fish, if the total number of stripes on all of the zebra fish in an aquarium totals 87?

13. Babe, Dizzy, and Yogi are playing "toss and catch" with a baseball. The bearing from Babe to Dizzy is 254 degrees. The bearing from Yogi to Dizzy is 344 degrees. The bearing from Yogi to Babe is 32 degrees. The distance from Yogi to Dizzy is 20 feet. How far is it from Yogi to Babe?

23. A box contains circular poker chips that are congruent in shape but not color. There are red ones, white ones, and blue ones. Drew Goode randomly draws out a chip. He gets 5 points if it is a blue one, 1 point for a white one, and he loses 3 points for a red one. The probability of drawing out a red one is 25%, a blue one is 60%, and a white one is 15%. What is his mathematical expectation on any one draw?

24. What are the odds that a factor of 2010 is a prime number?

28. The odd numbers from 1 to 17 are to be placed in this magic square in which the row and columns have the same sum. Find the value of x.

| |1| |
|5| |13|
|x| | |

39. Let ||v1|| = 15 and ||v2|| = 9, where the direction angles of v1 and v2 are 20 degrees and 80 degrees, respectively. Find ||v1 + v2||

41. [unparseable or potentially dangerous latex formula] = ______ + C, where C is some arbitrary constant.

53. A regular polygon has S sides and D diagonals. If the polygon had one more side, S+1, it would have D+10 diagonals. The polygon is a:

58. Coach Winters has 4 seniors, 5 juniors, 3 sophomores, and 4 freshmen on her math team. How many ways can she form practice groups consisting of one member of the grade levels?

59. Romeo, Juliet, and three classmates are randomly assigned seats in a row of five chairs. What is the probability that Romeo and Julie will be seated next to each other?

Also, what kind of information do I need to get for the mathematician questions?

Any help is appreciated. Thank you in advance.

[Kenon]