B) At the end of the football season, a team analyses
the number of goals they conceded each game.
The table shows their information.
Frequency
Conceded
goals
0
2.
1
8
a) Find the median number of goals conceded.
2
4
b) Work out the mean number of goals conceded.
3
10
4
6​

Aboard game uses a fair six-sided die and a spinner with five equal-sized sections colored dark blue, green, light blue, red, and yellow. players roll the die and then spin the spinner. match each probability statement to its correct value.

What is the area of mnp? 40 m2 60 m2 68 m2 127.5 m2

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) = .