b) \( \frac{\sqrt{1,3}\left(\frac{5}{4}+\frac{1}{3}\right)}{\left(\frac{6}{5}\right)^{-1}}=\frac{2 x-0,4}{x+1,2} \)

Clarissa has just completed her second semester in college. She earned a grade of B in her 3 -hour calculus course, a grade of C in her 5 -hour economics course, a grade of B in her 4 -hour engineering course, and a grade of C in her 3 -hour studio art course. Assuming that A equals 4 points, B equals 3 points, C equals 2 points, D equals 1 point, and F is worth no points, determine Clarissa's grade-point average for the semester. Clarissa's grade point average is 2.47 . (Round to two decimal places as needed.)

23 Determine the real number \( m \) so that the equation in \( x \) would have a double root. Calculate the value of the double root. \( \mathbf{1}^{\text {o }}(m+2) x^{2}-2(m-1) x+m+2=0 \) \( \mathbf{2}^{\text {o }} 4 m x^{2}+2 x-(3 m-2)=0 \)

Find the intervals on which \( f \) is increasing and the intervals on which it is decreasing. \( f(x)=-x^{3}-9 x \) Aelect the correct choice and, if necessary, fill in the answer box(es) to complete your choice. A. The function is increasing on the open interval(s) \( \square \) and decreasing on the open interval(s) (Simplify your answers. Type your answers in interval notation. Use a comma to separate answers as needed.) B. The function is increasing on the open interval(s) (Simplify your answer. Type your answer in interval notation. Use a comma to separate answers as needed.) C. The function is decreashing on the open interval(s) \( \square \). The function is never increasing. (Simplify your answer. Type your answer in interval notation. Use a comma to separate answers as needed.) D. The function is never increasing nor decreasing.

A survey was conducted on religious practices in the United States. Among other questions, respondents were asked their gender and whether they prayed at least once a day. Of the 19,271 females, \( 66 \% \) said they prayed at least daily and of the 16,285 males, \( 49 \% \) said they prayed at least daily. Use SE = 0.0052. A \( 95 \% \) confidence interval for the difference in the proportion of females who pray at least once a day and the proportion of males who pray at least once a day is \( \pm 1.96(.0052) \).

b) \( \frac{\sqrt{1,3}\left(\frac{5}{4}+\frac{1}{3}\right)}{\left(\frac{6}{5}\right)^{-1}}=\frac{2 x-0,4}{x+1,2} \)