\( 1 \leftarrow \) Annual incomes of statistics students are known to have a distribution that is skewed to the right instead of being normally distributed. Assume that we collect a random sample of annual incomes of 50 statistics students. Can the distribution of incomes in that sample be approximated by a normal distribution because the sample is large? Why or why not? Choose the correct answer below. A. Yes; the sample size is over 50 , so the sample of incomes will be normally distributed. B. No; unless more than 50 samples are collected, the sample of incomes will not be normally distributed. C. No; the population of incomes is not normally distributed, so the sample means will not be normally distributed for any sample size. D. No; the sample means will be normally distributed, but the sample of incomes will be skewed to the right.

Find an equation of the plane. the plane that passes through the line of intersection of the planes \( x-z=3 \) and \( y+3 z=1 \) and is perpendicular to the plane \( x+y-2 z=4 \) \( 2 x-2 y-z=4 \)

Encuentra \( \lim _{x \rightarrow 6} h(x) \) para \( h(x)=\sqrt{5 x+6} \)

A possible reaction of ethane with chlorine is shown below. \( \mathrm{CH}_{3} \mathrm{CH}_{3}+\mathrm{Cl}_{2} \) This reaction could conceivably occur by the following chain mechanisms [1], [2], and [3]. The chain initiating step(s) is (are) [1] \( \mathrm{Cl}_{2} \) [2] \( \mathrm{Cl}_{3} \mathrm{CH}_{2} \mathrm{Cl}+\mathrm{CH}_{3} \mathrm{CH}_{3} \xrightarrow{\text { slow }} \mathrm{HCl} \) [3] \( \mathrm{CH}_{3} \mathrm{CH}_{2}^{*}+\mathrm{Cl}_{2} \xrightarrow{\text { fast }} \mathrm{CH}_{3} \mathrm{CH}_{2} \mathrm{Cl}+\mathrm{CH}_{3} \mathrm{CH}_{2}^{*} \) Only [1] Only [2] Only [3] Only [1] and [2]

Factor the greatest common binomial factor from each polynomial: \[ 8(x+4)+a(x+4) \] \( 8(x+4)+a(x+4)=\square \)

\( 1 \leftarrow \quad \) Factor the trinomial. \[ 15 x^{2}+14 x-49=(5 x-7)(\quad) \] \( 15 x^{2}+14 x-49=(5 x-7)(\square) \)