What is an example of the professor using descriptive statistics? He infers that if all 750 students had done the experiment, the results would show that ar of new words were mistakenly identified as original words because they were conceptually He characterizes the first-year students at the college as consisting of 338 males and 412 He randomly chooses the 75 students to represent the 750 volunteers. What is an example of the professor using inferential statistics?

(c) Determine the generd solution for the differential equation, \[ \frac{d R}{d t}=k R(M-R) \] Where the solution is written in terms of \( \left\{R_{0}, M, k, t\right\} \).

A phone company orters two long-aistance plans. Ine tirst charges a tiat value of \( \$ 5.00 \) per month plus \( \$ 0.99 \) for each minute used, and the second charges \( \$ 10.00 \) a month plus \( \$ 0.79 \) for each minute used. If \( x \) represents the number of minutes used each month, which system of equations represents the total amount of money, \( y \), you would spend for each long-distance plan? a.) \( y=0.99 x+5 \) \( y=0.79 x+10 \) b.) \( x=0.99 y+5 \) \( x=0.79 y+10 \) c.) \( y=5 x+0.99 \) \( y=10 x+0.79 \) d.) \( x=5 y+0.99 \) \( x=10 y+0.79 \)

a) \( \frac{20 a^{2} b^{2}}{24 a^{2} b} \);

Rationalize the denominator and simplify the following expression: \( \begin{array}{l}\frac{4+\sqrt{2}}{2-\sqrt{2}} \\ 2+6 \sqrt{2} \\ 2+3 \sqrt{2} \\ 5+3 \sqrt{2} \\ 10+6 \sqrt{2}\end{array} \)

\( \lim _ { x \rightarrow \infty } ( \frac { 8 x ^ { 2 } + 2 x + 1 } { 2 x + 1 } - a x + b ) = 2 \)