David and Regina are competitive racers, and they both aim to break 2 minutes in their races. They are trying to figure out which who has the more difficult challenge, since they compete in different sports. David runs the 800-meter race and Regina swims the 200-meter freestyle. They agree to accept the following standards for high school boys and girls: boys' 800-meter mean time is 149 seconds with a standard deviation of 13.6 seconds, girls' 200-meter freestyle mean time is 145 seconds with a standard deviation of 8.2 seconds. Currently, David's best time is 2:02 minutes and Regina's best time is 2:10 minutes. Assuming times in their respective events are normally distributed, find the percentile in which each David and Regina fall. Which athlete is relatively faster for their sport?

step-by-step explanation:

dong do iy iys a scram

we have three similar triangles, because each has a right angle and shares an angle.   let's write the angles in order: opposite to short leg, long leg, hypotenuse.

cab similar to bad similar to cbd

or as ratios,

ca: ab: cb = ba: ad: bd = cb: bd: cd

we also know

ac = ad + cd

(ad+cd): ab: cb = ba: ad: bd = cb: bd: cd

(ad+cd)/cb=cb/cd

we have cb=6, ad=5 and seek x=cd.

we reject the negative root and conclude x=4

answer: 4

i dont know the answer but here's a picture of a dog

answer: a

step-by-step explanation: the answer is a due to the rule of symmetry; that a line of symmetry must divide a figure into 2 pieces that are the exact same, only reflected over a line of symmetry. b and c do not have lines of symmetry and would not divide the figure evenly, thus making the answer a.