m∠ABD=87 ∘ m, angle, A, B, D, equals, 87, degrees \qquad m \angle ABC = 9x - 1^\circm∠ABC=9x−1 ∘ m, angle, A, B, C, equals, 9, x, minus, 1, degrees \qquad m \angle CBD = 6x + 58^\circm∠CBD=6x+58 ∘ m, angle, C, B, D, equals, 6, x, plus, 58, degrees Find m\angle ABCm∠ABCm, angle, A, B, C:

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.

Given abcd ac=38 and ae=3x+4 find the value of x

Assume that there is a 11% rate of disk drive failure in a year. a. if all your computer data is stored on a hard disk drive with a copy stored on a second hard disk drive, what is the probability that during a year, you can avoid catastrophe with at least one working drive? b. if copies of all your computer data are stored on four independent hard disk drives, what is the probability that during a year, you can avoid catastrophe with at least one working drive?