42,42,24,36,60,6
1st Find the mean X̅
=(42+42+24+36+60+6)/6 = 35
2nd find the difference between the data set value and the mean (x - X̅)
and square them:
(42-35)² = 49
(42-35)² = 49
(24-35)² = 121
(36-35)² = 1
(60-35)² = 625
(6-35)² = 814
Now add up te result ∑(x-X̅)² =1659
Answer:
$2.48
Step-by-step explanation:
He paid $20 and got $12.56 back so you subtract
20-12.56=7.44
So his total was 7.44 and he bought 3 bags so divide to find the individual price
7.44/3=2.48
So $2.48
Answer:
Overall rectangle: 100 ft × 8 16/23 ft ≈ 100 ft × 8.696 ft
Individual pen: 8 16/23 ft × 4 6/11 ft ≈ 8.696 ft × 4.545 ft
Step-by-step explanation:
Half the fence will be used in each of the orthogonal directions to make the pen. That is, the long side of the overall rectangle will be (400 ft/2)/2 = 100 ft. The short side of the overall rectangle will be (400 ft/2)/23 = 8 16/23 ft. (There are 21 partitions between the 22 pens, and 2 end fences, for a total of 23 fence segments of the short length.)
The long (100 ft) side of the overall rectangle is divided into 22 parts by the internal partitions, so each pen will have a short dimension of 100 ft/22 = 4 6/11 ft.
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We know half the fence will be used in each direction because we know the total area is a quadratic function of the side length. If the long side of the overall pen is x, then the short side is (400 ft -2x)/23, and the overall area is ...
... A = x(400 ft -2x)/23
The vertex of this quadratic function is halfway between the zeros, at x = 100 ft. That is, the two long sides of the pen total 200 ft, or half the overall length of fence.
This means that it sweeps out half of the circle so that the chord is actually going across the whole diameter of the circle. So if the chord is going across the diameter and has a length of 15 inches, then the radius of the circle should be 7.5 inches. read more at: https://www.ck12.org/trigonometry/Length-of-a-Chord/lesson/Length-of-a-Chord-TRIG/
