Which number rounds to 341 when rounded to the nearest whole number
2 answers:
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Answer:
21,500
Step-by-step explanation:
Given data ( in thousand ) in this year,
28 31 34 35 37 41 42 42 42 47 49 51 52 52 60 61 67 72 75 77,
If each data is increased by $ 3000 in the next year,
So, the data for the next year,
31 34 37 38 40 44 45 45 45 50 52 54 55 55 63 64 70 75 78 80,
Since, the data is already arranged in the ascending order,
The median is 51 which is between 50 and 52,
Thus, the lower half of the Data is, 31 34 37 38 40 44 45 45 45 50,
Having median =
= 42,
Upper half of the data is 52 54 55 55 63 64 70 75 78 80,
Having median = 63.5
Hence, the interquartile range =
= 63.5 - 42
= 21.5
That is, the Interquartile range would be 21, 500.
9514 1404 393
Explanation:
<u>Given</u>:
- The attached figure showing circle O, chord BC, central angle BOC and inscribed angle BAC
- angle BAC = α + β
<u>Prove</u>:
- angle BOC = 2×angle BAC
<u>Proof</u>:
∠BOA +∠BOC +∠AOC = 360° . . . . . sum of arcs of a circle is 360°
2α +∠BOA = 180°, 2β +∠AOC = 180° . . . . . sum of triangle angles is 180°
∠BOA = 180° -2α, ∠AOC = 180° -2β . . . . solve statement 2 for central angles
(180° -2α) +∠BOC +(180° -2β) = 360° . . . . . substitute into statement 1
∠BOC = 2(α +β) . . . . . add 2α+2β-360° to both sides
∠BOC = 2×∠BAC . . . . . substitute given for α+β; the desired conclusion
