Mai and Tyler are selling items to earn money for their elementary school. The school earns \( w \) dollars for every wreath sold and \( p \) dollars for every potted plant sold. Mai sells 14 wreaths and 3 potted plants and the school earns \( \$ 70.50 \). Tyler sells 10 wreaths and 7 potted plants and the school earns \( \$ 62.50 \). This situation is represented by this system of equations: \( \left\{\begin{array}{l}14 w+3 p=70.50 \\ 10 w+7 p=62.50\end{array}\right. \) Explain why it makes sense in this situation that the solution of this system is also a solution to \( 4 w+(-4 p)=8.00 \).

n.1 \[ f(x)=x^{4}-27 x^{2}+50 \] Find the zeros of the polynomial function and state the multiplicity of each. The smallest zero is \( \square \) with multiplicity \( \square \). (Type an exact answer, using radicals as needed.)

Find the domain of the following rational function. \[ H(x)=\frac{-8 x^{2}}{(x-7)(x+8)} \]

Expresa \( (8,16] U(19,21) \) en notación de conjuntos.

D. \( 2+3(2)-6 \)

At a certain college, \( 55 \% \) of the students are female, and \( 19 \% \) of the students major in civil engineering. Furthermore, \( 12 \% \) of the students both are female and major in civil engineering. Answer the questions below. (If necessary, consult a list of formulas.) \[ \begin{array}{l}\text { (a) What is the probability that a randomily selected civil engineering major is } \\ \text { fermale? kound your answer to } 2 \text { decimal places. } \\ \text { (b) whut is the probability that a randomly selected female student majors in } \\ \text { dvill enginering? Round your answer to } 2 \text { decimal places. }\end{array} \]