If the population of a study is finite and just covers only a small set of data and the time and cost of the study is of no concern to the one who is conducting the study then it is better to take samples rather than conduct the study over the whole population

False

Step-by-step explanation:

The above statement is not correct since the time and cost of the study is of no concern to the one who is conducting the study, The person conducting the study having ample time and resource, means that it  would be better for the person to expand the scope of the study by conducting it over the whole population because that will give a more accurate result rather than conducting the study over a few samples .

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