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NeX [460]
3 years ago
11

The following were the recorded birth weights for babies born July 16, 2011: 8.1 lbs., 6.0 lbs., 4.7 lbs., 6.9 lbs., 5.6 lbs., 7

.7 lbs., 6.3 lbs., 7.8 lbs., 6.1 lbs., and 9.2 lbs. What was the average birth weight on the day? Round to two decimal places.
Mathematics
1 answer:
rodikova [14]3 years ago
6 0
8.1 + 6.0 + 4.7 + 6.9 + 5.6 + 7.7 + 6.3 + 7.8 + 6.1 + 9.2 = 68.4/9 = 7.6
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Answer:

There are two ways to do this problem algebraically or trigonometrically.

Algebraically/geometrically

The ratios of the sides of a 30/60/90 tri. are x, x√3, 2x (short leg, long leg, hyp). Therefore, if the long leg is 6 'units'. then 6 = x√3. x = 6√3.

The hyp is 2x then the hypotenuse is 2(6√3) = 12√3, rationalizing is 12√3/3 = 4√3

Using Trig.

We can use sinx = y/r = opp/hyp. The long leg of 6 is opposite 60 degrees (pi/3).

Therefore, sin(pi/3) = 6/r =

r = 6/sin(pi/3) = 6/(√3/2) = 12/√3, when you rationalize you get 12√3/3 = 4√3

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