The game of Scrabble has 100 tiles. The diagram shows the number of tiles for each letter and the letter's point value. One tile is drawn from Scrabble's 100 tiles. Find the probability of selecting a letter worth 1 point. The probability of selecting a letter worth 1 point is (Type an integer or a simplified fraction.)

Consider the \( \mathbb{R}^{2}-\mathbb{R} \) function \( f \) defined by \[ f(x, y)=\left\{\begin{array}{cll}\frac{x^{2}-2 x y+3 x}{x} & \text { if } & x \neq 0 \\ 2 & \text { if } \quad(x, y)=(0,0)\end{array}\right. \] (a) Write down the largest possible domain \( D_{f} \) of \( f \).

9. Write the place value of digit 4 in the numbers 3.4012

\( \left. \begin{array} { l } { 7200 t } \\ { 5600 } \\ \hline \end{array} \right. \)

If the system \( \left\{\begin{array}{l}4 x+3 y+6 z=-6 \\ -2 x+4 y+4 z=-7 \\ 20 x-7 y+h z=k\end{array}\right. \) has infinitely many solutions, then \( k=10 \quad \) and \( h= \)

\( \cot ^{4} \theta+\cot ^{2} \theta=\operatorname{cosec}^{2} \theta-\cos ^{2} \theta \) show me