Showing Work in Stats and Trig, algebra homework help : Urgent Assignments

$mbox{An elf, a dwarf, a hobbit, a wizard, and a man are sitting }$
$mbox{in a line. How many different ways can they sit if the elf }$
$mbox{and the dwarf insist on sitting next to each other?}$

$mbox{Logan wants to know how many skateboards have defective }$
$mbox{parts. He inspects 20,000 skateboards and keeps track of the }$
$mbox{numberof defects per board. Use his probability distribution }$
$mbox{table to find the expected value for defects on a skateboard.}$

$x$	$0$	$1$	$2$	$3$
$p(x)$	$frac{9}{10}$	$frac{1}{20}$	$frac{1}{25}$	$frac{1}{100}$

$mbox{A twelve-foot ladder is leaning against a wall. If the ladder reaches 8 ft high }$
$mbox{on the wall, what is the angle the ladder forms with the ground }$
$mbox{to the nearest degree?}*$