Questions in mathematics

Questions in mathematics

📝 Answered - Evaluate. [tex]$(-12)^2=$[/tex]

📝 Answered - Does mode of transportation depend on political party? Researchers asked a group of people about how they get to work. They also grouped the people by their political party. The data are recorded in the contingency table below, and the first few steps of a chi-square test of independence are summarized. (The observed values are above the expected values.) | | Car | Public Transit | Walk | Row Total | | :---------- | :-- | :------------- | :--- | :-------- | | Democrats | 5 | 12.8 | 17 | 22 | | Republicans | 23 | 21 | 8 | 44 | | Column Total| 28 | 33.8 | 25 | 66 | - $H_0$ : Political party does not affect mode of transportation (they are independent). - $H_a$ : Political party affects mode of transportation (they are dependent). - $\alpha=0.01$ - The test statistic, $\chi_0^2=17.900$. - Critical value: $\chi_{0.01}^2=9.210$.

📝 Answered - $x^2+5 x+\frac{36}{x^2+5 x}=0$

📝 Answered - Solve [tex]3 k x+24=9 k x[/tex] for [tex]x[/tex]. A. [tex]x=\frac{4}{k}[/tex] B. [tex]x=-\frac{2}{k}[/tex] C. [tex]x=-\frac{4}{k}[/tex] D. [tex]x=\frac{2}{k}[/tex]

📝 Answered - Daniel leaves his house at 07:00. He drives 87 miles to work at an average speed of 36 miles per hour. At what time does Daniel arrive at work?

📝 Answered - Kyle spends $\frac{2}{3}$ of an hour on homework. His sister, Jan, spends $1 \frac{1}{4}$ as much time on her homework as Kyle. How much time does Jan spend on her homework? A. $1 \frac{3}{7}$ hours B. $1 \frac{1}{6}$ hours C. $\frac{5}{6}$ hours D. $\frac{11}{15}$ hours

📝 Answered - Which expression is equivalent to $3(x-6)+5(x-4)$? A) $9 x-22$ B) $8 x-38$ C) $8 x-10$ D) $15 x^2-38 x$

📝 Answered - Identify the key features of the graph of the function [tex]f(x)=\log _2(x-1)+2[/tex]. vertical asymptote at [tex]x=1[/tex] horizontal asymptote at [tex]y=1[/tex] no [tex]x[/tex]-intercept no [tex]y[/tex]-intercept domain of [tex](1, \infty)[/tex] range of [tex](1, \infty)[/tex] increasing

📝 Answered - For which pair of functions is $(g \circ f)(a)=|a|-2$? A. $f(a)=a^2-4$ and $g(a)=\sqrt{a}$ B. $f(a)=\frac{1}{2} a-1$ and $g(a)=2 a-2$ C. $f(a)=5+a^2$ and $g(a)=\sqrt{a-5}-2$ D. $f(a)=3-3 a$ and $g(a)=4 a-5$

📝 Answered - How many seconds are in 4,300 milliseconds?