Section 14.4 Given a mean, standard deviation, and a raw score, find the corresponding z-score. Assume the distribution is normal. Mean 70 , standard deviation \( 8.1, x=90 \) What is the corresponding \( z \)-score? \( 0 \%, 0 \) of 36 ; \( z=\square \) (Round to two decimal places as needed.)

74. \( (2 x-1)\left(3 x^{2}-x+6\right) \)

\begin{tabular}{|l|} Solve the inequality \( (x-2)(x-5)^{2}<0 \) \\ Select all the intervals below that are included in the solution. \\ \( \bigcirc \mathrm{x}<5 \) \\ \( \mathrm{x}>5 \) \\ \( \mathrm{x}>2 \) \\ \( \mathrm{x}<2 \) \\ \( 2<\mathrm{x}<5 \)\end{tabular}

27. \( \int_{0}^{1}(u+2)(u-3) d u \)

Given \( g \) and \( h \) as defined below, determine \( g+h, h-g, g h \), and \( \frac{h}{g} \). Using interval notation, report the domain of each result. \( g(x)=\frac{x+2}{x^{2}-36} \) and \( h(x)=\frac{-5 x+7}{x^{2}-36} \) (a) \( (g+h)(x)=\square \) Domain of \( (g+h)(x): \) (b) \( (h-g)(x)=\square \) Domain of \( (h-g)(x): \) (c) \( (g h)(x)=\square \) Domain of \( (g h)(x): \square \) (d) \( (x)=\square \) Domain of \( \left(\frac{h}{g}\right)(x): \)

Simplify. \( 5 y+6 y \) \( \square \)