Find the median of the following numbers: 2.64, 2.50, 2.72, 2.91, and 2.35

From a box containing 2 red, 6 white, and 5 black balls, a ball is randomly selected. What is the probability that the selected ball is black?

PART ONE

a. Factorize: px - 2qx - 4qy + 2py

b. Given that the universal set U = {1,2,3,4,5,6,7,8,9,10}, P = {1,2,4,6,10} and Q = {2,3,6,9}. Show that (P ∪ Q)\(^I\) = P\(^I\) ∩ Q\(^I\).

a. The quantity y is partly constant and partly varies inversely as the square of x. Write down the relationship between x and y

b. The quantity y is partly constant and partly varies inversely as the square of x. When x = 1, y = 11, and when x = 2, y = 5. Find the value of y when x = 4

a. In the diagram above, PQSR and SRYZ are parallelograms, and PQYZ is a straight line. If |QY| = 2cm and |RS| = 3cm, find |PZ|

b. P and Q are two towns on the Earth's surface on latitude of 56°N. Their longitudes are 25°E and 95°E, respectively. Find the distance PQ along their parallel of latitude, correct to the nearest km. [Take radius of the earth as 6400 km and π = \(\frac{22}{7}\)]