The data below shows the annual salaries (in millions) and the number of viewers (in millions) of eight television actors and actresses. construct a scatterplot, find the value of the linear correlation coefficient r, and find the p-value using alphaequals0.05. is there sufficient evidence to conclude that there is a linear correlation between the two variables? salary (x) 93 14 15 30 12 8 9 2 viewers (y) 15 4.2 5.5 1.9 10.4 9.4 13.4 4.8

3: 2

step-by-step explanation:

shorter piece is 2: 3, so just reverse it, and you get 3: 2

he will have 300 because he is really broke and 300 is in his imangine

step-by-step explanation: he ehe heh step by the thy

geometry: triangles

solvers

lessons

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call the larger triangle abc

then the smaller triangle cde is similar to abc (all angles are equal, aaa).  

ab is the side that is 36, and we wish to find de, the side corresponding to ab

area_cde = area_abc - area_cde --> area_abc / area_cde = 2

let x=length of de

ratio of areas = (ratio of sides)^2

+2+=+%2836%2fx%29%5e2+

+2+=+1296%2fx%5e2+

++x%5e2+=+1296%2f2+=+648+

25.45584

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