Abicycle club conducted a survey to find out which city bicycle path was most popular. sixty of the club’s 497 members were chosen at random and asked which bike path they liked the most. the club made a table of the results.

path central riverside maple park west slope total
number of responses 5 24 20 11 60
which inference can be drawn from this survey?

the central path is the most popular path with club members.

the riverside path is the most popular path with club members.

the west slope path is the most popular path with club members.

the maple park path is the most popular path with club members.

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.

This is so hard and it’s for a test

Geometry in the diagram, ∠abc is a right angle. ∠dbc = 30°27'40". find the measure of ∠abd.