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If P and Q are two statements, under what condition would p|q be false?
In the diagram, which of the following ratios is equal to \(\frac{|PN|}{|PQ|}\)?
The angle of elevation of the top of a tree from a point 27m away and on the same horizontal ground as the foot of the tree is 30\(^o\). Find the height of the tree.
Expression 0.612 in the form \(\frac{x}{y}\), where x and y are integers and y \(\neq\) 0
If x : y = \(\frac{1}{4} : \frac{3}{8}\) and y : z = \(\frac{1}{3} : \frac{4}{9}\), find x : z
Find the inter-quartile range of 1, 3, 4, 5, 8, 9, 10, 11, 12, 14, 16
If 3x\(^o\) 4(mod 5), find the least value of x
Find the \(n^{th}\) term of the sequence 2 x 3, 4 x 6, 8 x 9, 16 x 12...
Factorise completely the expression
\((x + 2)^2\) - \((2x + 1)^2\)
Solved the equation \(2x^2 - x - 6\) = 0
Find the value of x for which \(\frac{x - 5}{x(x - 1)}\) is undefined.
The total surface area of a hemispher is 75\(\pi cm^2\). Find the radius.
The table shows the distribution of goals scored by 25 teams in a football competition. Calculate the probability that a team selected at random scored at most 3 goals.
The table shows the distribution of goals scored by 25 teams in a football competition. Calculate the probability that a team selected at randon scored either 4 or 7 goals.
The mean of 1, 3, 5, 7 and x is 4. Find the value of x
The equation of the line through the points (4,2) and (-8, -2) is 3y = px + q, where p and q are constants. Find the value of p.
If M and N are the points (-3, 8) and (5, -7) respectively, find |MN|
The angles of a polygon are x, 2x, 2x, (x + \(30^o\)), (x + \(20^o\)) and (x - \(10^o\)). Find the value of x
The surface area of a sphere is \(\frac{792}{7} cm^2\). Find, correct to the nearest whole number, its volume. [Take \(\pi = \frac{22}{7}\)]
The volume of a cylindrical tank, 10m high is 385 m\(^2\). Find the diameter of the tank. [Take \(\pi = \frac{22}{7}\)]