Dylan is playing with a see-saw on the playground. He puts a piece of tape at specific distances from the center of the see-saw so that there ratio of the distance between the center and the tape and the distance between the center and the right end is always a common fraction. Dylan then records the relationship between the height of the tape and the height of the left end of the see-saw, relative to a neutral position. Use the pattern you observe in the table below to correctly complete Dylan’s conjectures.

distance from center to tapedistance from center to right end
height of tape
(centimeters)
height of left end
(centimeters)
12
−1
2
12
2
−4
13
−2
6
13
1.5
−4.5
If the tape is placed at 13 of the distance between the center and right end, when the left end is at a height of 18 centimeters, relative to a neutral position, the tape will be at a height of centimeters, relative to a neutral position.

If the tape is placed at 14 of the distance between the center and right end of the see-saw, then the height of the left end will betimes the height of the tape, relative to a neutral position.

The height of a flare fired from the deck of a ship in distress can be modeled by h(t)= -2(8t^2-52t-28), where h is the height of the flare above water and t is the time in seconds. a. find the time it takes the flare to hit the water.

In the diagram of circle o, what is the measure of zabc?

Name and describe the three most important measures of central tendency. choose the correct answer below. a. the mean, sample size, and mode are the most important measures of central tendency. the mean of a data set is the sum of the observations divided by the middle value in its ordered list. the sample size of a data set is the number of observations. the mode of a data set is its highest value in its ordered list. b. the sample size, median, and mode are the most important measures of central tendency. the sample size of a data set is the difference between the highest value and lowest value in its ordered list. the median of a data set is its most frequently occurring value. the mode of a data set is sum of the observations divided by the number of observations. c. the mean, median, and mode are the most important measures of central tendency. the mean of a data set is the product of the observations divided by the number of observations. the median of a data set is the lowest value in its ordered list. the mode of a data set is its least frequently occurring value. d. the mean, median, and mode are the most important measures of central tendency. the mean of a data set is its arithmetic average. the median of a data set is the middle value in its ordered list. the mode of a data set is its most frequently occurring value.