There are 10 equally spaced points around the circle. at 9 points, there are sheep, and at one point, there is a wolf. at each time step, the wolf moves clockwise with probability p or counterclockwise with probability 1-p by 1 point. if there is a sheep at that point, the wolf eats it. the sheep don't move. what is the probability that the sheep who is initially behind the wolf is the last one remaining?

The poll report includes a table titled, “americans using cash now versus five years ago, by age.” the age intervals are not equal. why do you think the gallup organization chose the age intervals of 23–34, 35–54, and 55+ to display these results?

In 2000 there were 100 rabbits in central park the population increased by 16% each year ? write a function to illustrate the situation. how many rabbits were in central park in 2005 . predict how many rabbits there will be at the end of this year we are in 2018?

In this problem, we explore the effect on the standard deviation of multiplying each data value in a data set by the same constant. consider the data set 14, 6, 8, 15, 15. (a) use the defining formula, the computation formula, or a calculator to compute s. (round your answer to one decimal place.) s = 4.28 (b) multiply each data value by 3 to obtain the new data set 42, 18, 24, 45, 45. compute s. (round your answer to one decimal place.) s = 12.83 (c) compare the results of parts (a) and (b). in general, how does the standard deviation change if each data value is multiplied by a constant c? multiplying each data value by the same constant c results in the standard deviation remaining the same. multiplying each data value by the same constant c results in the standard deviation being |c| times as large. multiplying each data value by the same constant c results in the standard deviation increasing by c units. multiplying each data value by the same constant c results in the standard deviation being |c| times smaller. (d) you recorded the weekly distances you bicycled in miles and computed the standard deviation to be s = 3.8 miles. your friend wants to know the standard deviation in kilometers. do you need to redo all the calculations? yes no given 1 mile ≠1.6 kilometers, what is the standard deviation in kilometers? (enter your answer to two decimal places.)