Two measuring sticks are the exact same length. the scale units on the two sticks are different. each stick is marked with equally spaced units. the first stick starts at 0 and has 462 marks. the second starts at 0 and has 385 marks. suppose the sticks were lined up so the two zero marks were matched. the 462 mark and the 385 mark would also be matched exactly. as you scan the measuring sticks, starting at zero, what is the very next set of marks on the two sticks that match exactly? what other marks match? explain how you know.

At the olympic games, many events have several rounds of competition. one of these events is the men's 100-meter backstroke. the upper dot plot shows the times (in seconds) of the top 8 finishers in the final round of the 2012 olympics. the lower dot plot shows the times of the same 8 swimmers, but in the semifinal round. which pieces of information can be gathered from these dot plots? (remember that lower swim times are faster.) choose all answers that apply: a: the swimmers had faster times on average in the final round. b: the times in the final round vary noticeably more than the times in the semifinal round. c: none of the above.

Simplify -4z+2y-y+-18z a.-22z+y b.-14z+2 c.3y+22z d. y +14z

Unaware that 35% of the 10000 voters in his constituency support him, a politician decides to estimate his political strength. a sample of 200 voters shows that 40% support him. a. what is the population? b. what is the parameter of interest? state its value c. what is the statistics of the interest? state its value d. compare your answers in (b) and (c) is it surprising they are different? if the politician were to sample another 200 voters, which of the two numbers would most likely change? explain