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Andrej [43]
3 years ago
10

−3a2 − b3 + 3c2 − 2b3 if a = 2, b = −1, and c = 3.

Mathematics
1 answer:
levacccp [35]3 years ago
5 0
<span><span><span><span><span>(<span><span>(<span>−3</span>)</span><span>(2)</span></span>)</span><span>(2)</span></span>−<span><span>(<span>−1</span>)</span><span>(3)</span></span></span>+<span><span><span>(3)</span><span>(3)</span></span><span>(2)</span></span></span>−<span><span><span>(2)</span><span>(<span>−1</span>)</span></span><span>(3)

</span></span></span><span>=<span><span><span><span><span>(<span>−6</span>)</span><span>(2)</span></span>−<span><span>(<span>−1</span>)</span><span>(3)</span></span></span>+<span><span><span>(3)</span><span>(3)</span></span><span>(2)</span></span></span>−<span><span><span>(2)</span><span>(<span>−1</span>)</span></span><span>(3)

</span></span></span></span><span>=<span><span><span><span>−12</span>−<span><span>(<span>−1</span>)</span><span>(3)</span></span></span>+<span><span><span>(3)</span><span>(3)</span></span><span>(2)</span></span></span>−<span><span><span>(2)</span><span>(<span>−1</span>)</span></span><span>(3)</span></span></span></span><span>=<span><span><span><span>−12</span>−<span>(<span>−3</span>)</span></span>+<span><span><span>(3)</span><span>(3)</span></span><span>(2)</span></span></span>−<span><span><span>(2)</span><span>(<span>−1</span>)</span></span><span>(3)


</span></span></span></span><span>=<span><span><span>−9</span>+<span><span><span>(3)</span><span>(3)</span></span><span>(2)</span></span></span>−<span><span><span>(2)</span><span>(<span>−1</span>)</span></span><span>(3)

</span></span></span></span><span>=<span><span><span>−9</span>+<span><span>(9)</span><span>(2)</span></span></span>−<span><span><span>(2)</span><span>(<span>−1</span>)</span></span><span>(3)

</span></span></span></span><span>=<span><span><span>−9</span>+18</span>−<span><span><span>(2)</span><span>(<span>−1</span>)</span></span><span>(3)

</span></span></span></span><span>=<span>9−<span><span><span>(2)</span><span>(<span>−1</span>)</span></span><span>(3)

</span></span></span></span><span>=<span>9−<span><span>(<span>−2</span>)</span><span>(3)

</span></span></span></span><span>=<span>9−<span>(<span>−6</span>)

</span></span></span><span>=<span>15</span></span>
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Median = 241

Step-by-step explanation:

The median is the number in the middle when the variables are arranged in ascending or descending order.

The raw set of data is

177; 205; 210; 210; 232; 205; 185; 185; 178; 210; 206; 212; 184; 174; 185; 242; 188; 212; 215; 247;

241; 223; 220; 260; 245; 259; 278; 270; 280; 295; 275; 285; 290; 272; 273; 280; 285; 286; 200; 215;

185; 230; 250; 241; 190; 260; 250; 302; 265; 290; 276; 228; 265

Arranged in ascending order,

174, 177, 178, 184, 185, 185, 185, 185, 188, 190, 200, 205, 205, 206, 210, 210, 210, 212, 212, 215, 215, 220, 223, 228, 230, 232, 241, 241, 242, 245, 247, 250, 250, 259, 260, 260, 265, 265, 270, 272, 273, 275, 276, 278, 280, 280, 285, 285, 286, 290, 290, 295, 302

There are 53 variables in the data set, the median would be at the middle of the distribution, that is, at the (53 + 1)/2 position.

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The median = variable at the 27th position when the dataset is arranged in ascending or descending order

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