The average time a boulder high varsity lacrosse player plays in a game is 30 minutes with a standard deviation of 7 minutes. nolan’s playing time in last week’s game against fairview was 48 minutes. (a) calculate the z-score for nolan’s playing time against fairview. (round your answer to 2 decimal places.)

Solving this problem is pretty straight forward.

We simply use the formula:

z-score = (x – u) / s

where,

x = sample value = 48 minutes

u = mean value = 30 minutes

s = standard deviation = 7 minutes

Therefore,

z-score = (48 minutes – 30 minutes) / 7 minutes

z-score = 2.57

the correct answer is d

hope this

geometry: triangles

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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+

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