Suppose the people living in a city have a mean score of 54 and a standard deviation of 4 on a measure of concern about the environment Assume that these concem scores are normally distributed Using the 50% - 34% -14% figures, what is the minimum score a person has to have to be in the top (a) 2%, (b) 16%, (C)
50%, (d) 84%, and (e) 98%?
(a) What is the minimum score a person has to have to be in the top 2%?

step-by-step explanation:

yes the total will be same because in both of them the expression.is rearranged but their sign remains the same hence it hss just been shuffled

if a = 1,   and b = 2, then the answer is 47.99999999. if you round that to the nearest whole number, the answer is 48.

- "runner b is moving at a slower rate."

- "the graphs shown are graphs of distance(km) against time(min).

the slopes of this graphs are are given by:

slope = (change in y)/(change in x)

= (change in distance)/(change in time)

this is the formula for finding the speed. so, the slope of these graphs represent the speed of the runner.

taking each division in the graph to represent 1 on both axis:

runner a ⇒ speed = (2-0)/(1-0)

= 2/1

= 2 km/min

runner b ⇒ speed = (3-0)/(3-0)

= 3/3

= 1 km/min

this shows that   runner b is moving at a slower rate."