91Ó°ÊÓ

If \(\sin A=\frac{3}{5}, 90^{\circ} < A < 180^{\circ}, \cos B=\frac{1}{3},\) and \(270^{\circ} < B < \) \(360^{\circ},\) the value of \(\sin (A+B)\) is (A) \(-0.83\) (B) \(-0.55\) (C) \(-0.33\) (D) 0.73 (E) 0.95

For each positive integer \(n,\) let \(S_{n}=\) the sum of all positive integers less than or equal to \(n .\) Then \(S_{51}\) equals (A) 50 (B) 51 (C) 1250 (D) 1275 (E) 1326

Which of the following lines asymptotes for the graph of \(^{y}=\frac{3 x^{2}-13 x-10}{x^{2}-4 x-5}\) I. \(x=-1\) II. \(x=5\) III. \(y=3\) (A) I only (B) II only (D) I and II (E) I and III (E) I, II, and III

How many distinguishable rearrangements of the letters in the word CONTEST start with the two vowels? (A) 120 (B) 60 (C) 10 (D) 10 (D) 5 (E) none of these

A recent survey reported that 60 percent of the students at a high school are girls and 65 percent of girls at this high school play a sport. If a student at this high school were selected at random, what is the probability that the student is a girl who plays a sport? (A) 0.10 (B) 0.21 (C) 0.32 (D) 0.39 (E) 0.42