Tiêu đề 2025 Baulkham Hills High School - Adv - Trial.pdf ✅

5 2 There are 25 seats in the front row of an amphitheatre, 30 in the second row, 35 in the 3rd row and so on such that the number of seats in each row is 5 more than the row in front. How many seats are in the 50 th row? (A) 90 (B) 125 (C) 270 (D) 7375 3 Which of the following correctly describes the order of the transformations of y x = sin to y x = − 3sin(2 1) ? (A) Vertical dilation by a factor of 3, horizontal dilation by a factor of 2, horizontal translation right 1. (B) Horizontal translation right 1, horizontal dilation by a factor of 2, vertical dilation by a factor 3. (C) Horizontal dilation by a factor of 1 2 , horizontal translation right 1 2 , vertical dilation by a factor of 3. (D) Horizontal dilation by a factor of 1 2 , horizontal translation right 2, vertical dilation by a factor of 1 3 . 4 The weights of an Australian Cattle Dog are normally distributed with mean 25 kg and standard deviation 4 kg. Approximately what percentage of dogs will weigh between 29 kg and 33 kg? (A) 2.35% (B) 2.5% (C) 13.5% (D) 27%
6 5 When a drug enters the bloodstream, its concentration (y) decreases over time (x) such that the rate of decrease slows down. Which of the following best describes dy dx and 2 2 d y dx ? (A) 0 dy dx  and 2 2 0 d y dx  (B) 0 dy dx  and 2 2 0 d y dx  (C) 0 dy dx  and 2 2 0 d y dx  (D) 0 dy dx  and 2 2 0 d y dx  6 Which of the following could be a continuous probability density function? (A) 1 ( ) 2 f x x = (B) 1 0 2 ( ) 0 for all other values of x x f x x  −   =   (C) ( ) 1 0 2 4 1 1 2 4 4 0 for all other values of x x f x x x x      =  −      (D) 2 1 0 1 ( ) 0 for all other values of x x f x x  −   =   7 Which of the following is the derivative of 3 2 y x = − (9 1) ? (A) 3 6 9 1 x − (B) 3 6 9 1 x − (C) 3 2 3 9 1 x − (D) 9 9 1 2 x −