Let t: r3 → r3 be a linear transformation. use the given information to find the nullity of t nullity(t) = give a geometric description of the kernel and range of t. o the kernel of t is the yz-plane in r3, and the range of t is a line (the x- t is the projection onto the xy-coordinate plane: t(x, y, , y, 0) axis) o a. the kernel of t is a line (the x-axis), and the range of t is the yz-plane in r3 b. the kernel of t is the xz-plane in r3, and the range of t is a line (the y- axis)c. the kernel of t is the xy-plane in r3, and the range of t is a line (the z - axis)d. the kernel of t is a line (the z-axis), and the range of t is the xy-plane in axis) axis)

The table shows population statistics for the ages of best actor and best supporting actor winners at an awards ceremony. the distributions of the ages are approximately bell-shaped. compare the z-scores for the actors in the following situation. best actor best supporting actor muequals42.0 muequals49.0 sigmaequals7.3 sigmaequals15 in a particular year, the best actor was 59 years old and the best supporting actor was 45 years old. determine the z-scores for each. best actor: z equals best supporting actor: z equals (round to two decimal places as needed.) interpret the z-scores. the best actor was (more than 2 standard deviations above more than 1 standard deviation above less than 1 standard deviation above less than 2 standard deviations below) the mean, which (is not, is) unusual. the best supporting actor was (less than 1 standard deviation below more than 1 standard deviation above more than 2 standard deviations below more than 1 standard deviation below) the mean, which (is is not) unusual.

Determine the common ratio and find the next three terms of the geometric sequence. 649-14-02-00-00_files/i0100000, 649-14-02-00-00_files/i0100001, 2, a. 3; 649-14-02-00-00_files/i0100002, 649-14-02-00-00_files/i0100003, 649-14-02-00-00_files/i0100004. c. 649-14-02-00-00_files/i0100005; 649-14-02-00-00_files/i0100006, 649-14-02-00-00_files/i0100007, 649-14-02-00-00_files/i0100008. b. 3; 6, 18, 54 d. 649-14-02-00-00_files/i0100009. 6, 18, 54 select the best answer from the choices provided a b c d

An equation in slope-intersept form the lines that passes thought (-8,1) and is perpindicular to the y=2x-17.