Question $2$

$2\mathrm{.}1$ A swimming pool with an area of $40m^2$ is filled on the first day of the month. During the August month, a hosepipe, flowing at a rate of $0\mathrm{.}05$ cubic meters per minute, is used to add water to the pool. The hosepipe is turned off after $1$ hour. $120mm$ of rain fell during that month. Evaporation from a nearby lake was $240mm$ during August. It is estimated that $30$ percent more will evaporate from the pool than the lake during that month. On the $1$st of September, the pool was $130mm$ below the top. Does the pool have a leak? If so$,$ what is the rate of leakage in cubic meters per day $(\frac{m^3}{d}ay).$

$2\mathrm{.}2$ Determine the mean daily and the true average daily temperature from the data given in the table below.

$\backslash$table$[[\backslash$table$[[$Time$],[($hour$)]],02,04,06,08,10,12],[),-3,3,0,8,6,-9]]$