Exercise 1: Confidence Interval A machine is set up such that the ayerage content of juice per bottle equals \( \mu \). A sample of 100 bottles yields an average content of 48 cl . Calculate a \( 90 \% \) and a \( 95 \% \) confidence interval for the average content. Axsume that the population standard deviation \( \sigma=5 \mathrm{cl} \).

\( f(x)+x\frac{d}{dx}f(x)=0 \)

4) \( \frac{4 b}{3 b-21}+\frac{3 b}{14-2 b}= \)

Question 6 Perform the indicated operations \& simplify. Add: \( (15-4 i)+(24+9 i) \) sum \( =\square \) Subtract: \( (15-4 i)-(24+9 i) \) difference \( =\square \)

14. How was the election of 1800 a peaceful revolution? a. The public marched in the streets, chanting and holding signs in support of their candidates. b. There was only one candidate for president, so he won without political battle. c. The House and the Senate disagreed about who should be president, so they created the electoral college-a revolutionary but peaceful solution. d. Although politicians passionately disagreed about who should be president, they voted and revoted rather than use violence e. Washington had been a Federalist and, with only a few short battles, Jefferson, a Republican. became President

1) \( -2[-8-(-16+6):(-2)]-E-(-12+11):(-5) \)