The tortoise and the hare are having a race. Whoever can travel the most distance in an hour wins. For the tortoise, each minute the probabilities are 25% he rests and doesn't move, 30% he travels forward 1 foot, 35% he travels forward 2 feet, and 10% he travels forward 3 feet. For the hare, each minute the probabilities are 10% he moves backward one foot, 65% he doesn't move, and 25% he moves forward 5 feet. Create a model to simulate the race. You should have a row for each minute. You should have columns for: minute, tortoise position, hare position, who is ahead. At the top of the worksheet give: (i) the winner for the simulation (or possibly it's a tie).
(ii) the number of minutes during which the hare is behind where he started.

Oscar and julie ashton are celebrating their 15th anniversary by having a reception hall. they have budgeted $4,500 for their reception. if the reception hall charges a $90 cleanup fee plus & 36 per person, find the greatest number of people that they may invite and still stay within their budget.

Sweet t saved 20 percent of the total cost of the green-eyed fleas new album let there be fleas on earth. if the regular price is $30 how much did sweet save

Each of the following data sets has a mean of x = 10. (i) 8 9 10 11 12 (ii) 7 9 10 11 13 (iii) 7 8 10 12 13 (a) without doing any computations, order the data sets according to increasing value of standard deviations. (i), (iii), (ii) (ii), (i), (iii) (iii), (i), (ii) (iii), (ii), (i) (i), (ii), (iii) (ii), (iii), (i) (b) why do you expect the difference in standard deviations between data sets (i) and (ii) to be greater than the difference in standard deviations between data sets (ii) and (iii)? hint: consider how much the data in the respective sets differ from the mean. the data change between data sets (i) and (ii) increased the squared difference îł(x - x)2 by more than data sets (ii) and (iii). the data change between data sets (ii) and (iii) increased the squared difference îł(x - x)2 by more than data sets (i) and (ii). the data change between data sets (i) and (ii) decreased the squared difference îł(x - x)2 by more than data sets (ii) and (iii). none of the above