For each part, decide whether the blank should be filled in with =,< or > , and give aclear explanation. in (a) and (b), order doesn’t matter.(a) (number of ways to choose 5 people out of (number of ways to choose 6people out of 10)(b) (number of ways to break 10 people into 2 teams of (number of ways tobreak 10 people into a team of 6 and a team of 4)(c) (probability that all 3 people in a group of 3 were born on january (probabilitythat in a group of 3 people, 1 was born on each of january 1st, 2nd, and 3rd)martin and gale play an exciting game of "toss the coin," where they toss a fair coinuntil the pattern hh occurs (two consecutive heads) or the pattern th occurs (tails followed immediately by heads). martin wins the game if and only if hh occurs beforeth occurs.(d) (probability that martin wins) 1/2

Part one: measurements 1. measure your own height and arm span (from finger-tip to finger-tip) in inches. you will likely need some from a parent, guardian, or sibling to get accurate measurements. record your measurements on the "data record" document. use the "data record" to you complete part two of this project. name relationship to student x height in inches y arm span in inches archie dad 72 72 ginelle mom 65 66 sarah sister 64 65 meleah sister 66 3/4 67 rachel sister 53 1/2 53 emily auntie 66 1/2 66 hannah myself 66 1/2 69 part two: representation of data with plots 1. using graphing software of your choice, create a scatter plot of your data. predict the line of best fit, and sketch it on your graph. part three: the line of best fit include your scatter plot and the answers to the following questions in your word processing document 1. 1. which variable did you plot on the x-axis, and which variable did you plot on the y-axis? explain why you assigned the variables in that way. 2. write the equation of the line of best fit using the slope-intercept formula $y = mx + b$. show all your work, including the points used to determine the slope and how the equation was determined. 3. what does the slope of the line represent within the context of your graph? what does the y-intercept represent? 5. use the line of best fit to you to describe the data correlation.

The box plot shows the number of raisins found in sample boxes from brand c and from brand d. each box weighs the same. what could you infer by comparing the range of the data for each brand? a) a box of raisins from either brand has about 28 raisins. b) the number of raisins in boxes from brand c varies more than boxes from brand d. c) the number of raisins in boxes from brand d varies more than boxes from brand c. d) the number of raisins in boxes from either brand varies about the same.

If the measure of angle 1 is 110 degrees and the measure of angle 3 is (2 x+10 degree), what is the value of x?