Which relationships would most likely be causal? Select two options. a negative correlation between the temperature and the amount of snow still on the ground space that is left a positive correlation between the length of the side of a pool and its depth a positive correlation between the height of a woman and the height of her brother a negative correlation between the volume of water in a pot and the amount of time that the water takes to boil

The following number is a base-twelve numeral. Convert this to a base-ten numeral. (In base 12, the digits are \( 0,1,2,3,4,5,6,7,8,9, \mathrm{~A}, \mathrm{~B} \). ) \( 6 \mathrm{~A} 3581_{\text {twelve }}=\square \) ten Oustion Heln.

Suppose that \( f(x)=\frac{1}{x+1} \) and \( g(x)=\frac{4}{x-3} \). Find the indicated values: \( (f \circ g)(x)= \) A. \( f(g(x))=\frac{x+1}{x-3} ; \) domain of \( (f \circ g) \) : B. \( f(g(x))=\frac{x-3}{x+1} ; \) domain: \( (-\infty,-\infty) \cup(-3,3) \cup(-1, \infty) \cup(3, \infty) \) C. \( f(g(x))=\frac{x-3}{x+1} ; \) domain: \( (-\infty,-1) \cup(-1, \infty) \) D. \( f(g(x))=\frac{x+1}{x} ; \) domain: \( (-\infty, 3) \cup(3, \infty) \)

2) \( \left(4 m^{2} n^{3}\right)\left(3 m^{3} n^{4}\right)= \)

A ball is drawn randomly from a jar that contains 6 red balls, 3 white balls, and 7 yellow balls Find the probability of the given event. Write your answers as reduced fractions or whole numbers. (a) \( P( \) A red ball is drawn \( )= \) (b) \( P( \) The ball drawn is NOT red \( )=\square \) (c) \( P( \) A green ball is drawn \( )=\square \)

23. \( \int b^{2} y d y=\frac{b^{2} y^{2}}{2}+C \)