Abaking company has developed two new cookie recipes, however, they only have the resources to add one item to their product line. they decide to randomly sample three groups of 100 people to determine which cookie recipe, a or b, is preferred. the results are shown in the following table.

recipe a recipe b
sample #1 29 71
sample #2 38 62
sample #3 24 76
a. based on the collected data, which recipe should the baking company add to their product line? how confident should the company be in their decision? explain your reasoning using complete sentences.

b. using the mean of the data for recipe a, approximately what percentage of people would you expect to prefer recipe a over recipe b?

How do you write a paragraph proof to prove that the corresponding angles shown are congruent

The school track has eight lanes. each lane is 1.25 meters wide. the arc at each end of the track is 180. the distance of the home straight and the radii for the arcs in the 1st 4 lanes are given. s=85m r1=36.5m r2=37.75m r3=39m r4=40.25m part one: find the radii of lanes 5 through 8 of the track. show your work. part two: if max ran around lane one, how far did he run? show your work and explain your solution. part three: max wants to run a total of three laps around the track, choose two additional lanes (2-8) for him to run and find the distance around those two lanes. show your work and round to the hundredths. part 4: based on your lane choices in part three, what was the total distance max ran in the three laps around the track?

Abowl contained 270 starbursts of all different colors. if the probability of picking a yellow is 1/9, then how many yellow starbursts are in the bowl ? ?