There are two machines available for cutting corks intended for use in wine bottles. the first produces corks with diameters that are normally distributed with mean 3 cm and standard deviation 0.10 cm. the second machine produces corks with diameters that have a normal distribution with mean 3.04 cm and standard deviation 0.04 cm. acceptable corks have diameters between 2.9 cm and 3.1 cm. what is the probability that the first machine produces an acceptable cork? (round your answer to four decimal places.) .6827 what is the probability that the second machine produces an acceptable cork? (round your answer to four decimal places.) .9330 which machine is more likely to produce an acceptable cork? the first machine the second machine

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.

Jake bakes and sell apple pies. he sells each pie for $5.75 . the materials to make the pies cost $40. the boxes jake puts the pies in cost & 12.50 total. how many pies does jake need to sell to earn a profit of $50

In which direction does the left side of the graph of this function point? f(x) = 3x3 - x2 + 4x - 2