A real valued function f is defined as f(x)=\begin{cases}{-1} & {-2\leq x\leq0} \\ {x-1} & {0\leq x\leq2}\end{cases}.
Which of the following statement is FALSE?
Let X_i, i = 1,2,.. , n be n observations and w_i = px_i +k, i = 1,2,
,n where p and k are constants. If the mean of x_i 's is 48 and the standard deviation is 12, whereas the mean of w_i 's is 55 and the standard deviation is 15, then the value of p and k should be
Let S be the set \{a\in Z^+:a\leq100\}.If the equation
[tan^2 x]-tan x - a = 0 has real roots (where [ . ] is the greatest
integer function), then the number of elements is S is
If the graph of y = (x – 2)2 – 3 is shifted by 5 units up along y-axis and 2 units to the right along
the x-axis, then the equation of the resultant graph is