For numbers \( 5-13 \), a) plot the following systems of inequalities; b) determine whether they are bounded or unbounded; and c) find all corner points \( \begin{array}{l}\text { 5-7). } \quad y \leq-3 x+3 ; y \geq-2 x+6 \\ \text { 8-10). } x-2 y+2 \geq 0 ; 4 x+y+5 \geq 0 ; 4 x-y \leq 6 \\ \text { 11-13). } x+20 y \leq 46 ; 21 x+2 y+2 \leq 86 ; x \geq 0 ; y \geq 0\end{array} \)

73 Resolva, em \( \mathbb{R} \), as seguintes equaçōes: \( \begin{array}{ll}\text { a) } x^{2}+\frac{x^{3}}{2}+\frac{x^{4}}{4}+\frac{x^{5}}{8}+\ldots=\frac{1}{3} & \text { c) } x+\frac{x^{2}}{4}+\frac{x^{3}}{16}+\frac{x^{4}}{64}+\ldots=\frac{4}{3} \\ \text { b) }(1+x)+(1+x)^{2}+(1+x)^{2}+\ldots=3 & \text { d) } 2^{x}+2^{x-1}+2^{n-2}+\ldots=0,25\end{array} \)

Why do experiments need replication? to eliminate bias to balance out the effects of lurking variable to measure chance variation

are interested in looking at apartment complex amenities when deciding where to live next year. Let P mean a nplex has a pool, C mean the complex has a clubhouse, and I mean high speed Internet. If a complex has at least one hese, the event notation would be? P or C and I P and C and I P or C or I

1) Evaluate the expression. \( \frac{1}{2}-\frac{3}{4} \times \frac{1}{5} \) Write your answer as a fraction or as a whole or mixed number.

Use a standard Normal table to determine the probability. Give your answer as a decimal to four decimal places.