Determine whether the data collected in the survey represents a census or a sample.

After examining eight cartons of eggs at a local supermarket, Sheila concludes that one out of every 12 eggs packaged in the U. S. is cracked.

A.
census

B.
sample

the answer is 489

step-by-step explanation:

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