Find the probability that you will roll an even
number exactly 5 times when you:
roll a six-sided number cube 10 times.
P=
roll a six-sided number cube 20 times.
P=
DONE
Intro
0000000000

What happens to the area as the sliders are adjusted? what do you think the formula for the area of a triangle is divided by 2?

Prove (a) cosh2(x) − sinh2(x) = 1 and (b) 1 − tanh 2(x) = sech 2(x). solution (a) cosh2(x) − sinh2(x) = ex + e−x 2 2 − 2 = e2x + 2 + e−2x 4 − = 4 = . (b) we start with the identity proved in part (a): cosh2(x) − sinh2(x) = 1. if we divide both sides by cosh2(x), we get 1 − sinh2(x) cosh2(x) = 1 or 1 − tanh 2(x) = .

Kerion has a beaded necklace business. she can make 12 necklaces is 2 hours. how long will it take her to make 9 necklaces?