Michael is recruiting students on his college campus to join a disaster relief team to provide support to those affected by natural disasters such as hurricanes, floods, earthquakes, etc. During the first week he works to recruit members to the disaster relief team, so that by the beginning of Week 2 there are three new members. Those three new members each recruit three others, for a total of nine new members by the beginning of Week 3. The pattern continues so that every new member recruits three others the following week. A member is only considered a “new” member for the one week they are recruiting three others. If the pattern continues, at the beginning of what week will exactly 729 new members join the disaster relief team? (Demonstrate your solution algebraically and graphically.

What values of data might affect the statistical measures of spread and center

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.

Acircle has a radius of 5/6 units and is centered at (3.6, 7.8) write the equation of this circle