7. Show how the Distributive Property can make the arithmetic simpler in the following problems \( \begin{array}{ll}\text { a. } 3 \cdot(50.15) & \text { b. } 5(108)\end{array} \)

2. \( \tan (\theta)+\cot (\theta) \equiv \sec (\theta) \cdot \csc (\theta) \)

32. If \( x \) and \( y \) are two positive numbers such that A. \( x>y \) B. \( y>1 \) C. \( x a n d y \) are both less than 1 D. \( x>1 \) E. \( x \) and \( y \) are both greater than 1

7. Show how the Distributive Property can make the arithmetic simpler in the following problems \( \begin{array}{ll}\text { a. } 3 \cdot(50.15) & \text { b. } 5(108)\end{array} \)

05) Simplifique as frações algébricas: (a) \( \left(16 x^{5}\right):\left(-4 x^{2}\right) \) (b) \( \left(36 x y^{4}\right):(-6 x y) \) (c) \( (-35 a):(+7 a) \) (d) \( \left(+3 a b^{2}\right):\left(-\frac{10}{5}\right) \) (e) \( \left(-\frac{4}{5} x^{5} y\right):\left(+\frac{4}{3} x^{2} y\right) \)

If the null hypothesis \( H_{0}: p=p_{0} \) is true, the of is \( \sqrt{\frac{p_{0}\left(1-p_{0}\right)}{n}} \)