As reported in "Runner's World" magazine, the times of the finishers in the New York City 10 km run are normally distributed with a mean of 61 minutes and a standard deviation of 9 minutes. Let x denote finishing time for the finishers. a) The distribution of the variable x has mean and standard deviation .b) The distribution of the standardized variable z has mean and standard deviation .c) The percentage of finishers with times between 40 and 65 minutes is equal to the area under the standard normal curve between and .d) The percentage of finishers with times exceeding 69 minutes is equal to the area under the standard normal curve that lies to the of .

a = 11 : 4

b = 38

c = 1 for every 6

eve and marks ratios are equivalent

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coins of silver or gold

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the above table 1 will calculate the population size (n) after a certain length of time (t). all you need to do is plug in the initial population number (no), the growth rate (r) and the length of time (t). the constant (e) is already entered into the equation. it stands for the base of the natural logarithms (approximately 2.71828). growth rate (r) and time (t) must be expressed in the same unit of time, such as years, days, hours or minutes. for humans, population growth rate is based on one year. if a population of people grew from 1000 to 1040 in one year, then the percent increase or annual growth rate is 40/1000 x 100 = 4 percent.

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