<span>6,289,002 rounded to the nearest 1,000,000 is 6,000,000. This is because the number in the hundred thousands column, the one to the right of the first digit, is less than five, so it gets rounded down.</span>
If you multiply 268 with 6, you get 1608 as your answer.
Answer:
The <em>z</em>-score for the group "25 to 34" is 0.37 and the <em>z</em>-score for the group "45 to 54" is 0.25.
Step-by-step explanation:
The data provided is as follows:
25 to 34 45 to 54
1329 2268
1906 1965
2426 1149
1826 1591
1239 1682
1514 1851
1937 1367
1454 2158
Compute the mean and standard deviation for the group "25 to 34" as follows:
![\bar x=\frac{1}{n}\sum x=\frac{1}{8}\times [1329+1906+...+1454]=\frac{13631}{8}=1703.875\\\\s=\sqrt{\frac{1}{n-1}\sum (x-\bar x)^{2}}=\sqrt{\frac{1}{8-1}\times 1086710.875}=394.01](https://tex.z-dn.net/?f=%5Cbar%20x%3D%5Cfrac%7B1%7D%7Bn%7D%5Csum%20x%3D%5Cfrac%7B1%7D%7B8%7D%5Ctimes%20%5B1329%2B1906%2B...%2B1454%5D%3D%5Cfrac%7B13631%7D%7B8%7D%3D1703.875%5C%5C%5C%5Cs%3D%5Csqrt%7B%5Cfrac%7B1%7D%7Bn-1%7D%5Csum%20%28x-%5Cbar%20x%29%5E%7B2%7D%7D%3D%5Csqrt%7B%5Cfrac%7B1%7D%7B8-1%7D%5Ctimes%201086710.875%7D%3D394.01)
Compute the <em>z</em>-score for the group "25 to 34" as follows:

Compute the mean and standard deviation for the group "45 to 54" as follows:
![\bar x=\frac{1}{n}\sum x=\frac{1}{8}\times [2268+1965+...+2158]=\frac{14031}{8}=1753.875\\\\s=\sqrt{\frac{1}{n-1}\sum (x-\bar x)^{2}}=\sqrt{\frac{1}{8-1}\times 1028888.875}=383.39](https://tex.z-dn.net/?f=%5Cbar%20x%3D%5Cfrac%7B1%7D%7Bn%7D%5Csum%20x%3D%5Cfrac%7B1%7D%7B8%7D%5Ctimes%20%5B2268%2B1965%2B...%2B2158%5D%3D%5Cfrac%7B14031%7D%7B8%7D%3D1753.875%5C%5C%5C%5Cs%3D%5Csqrt%7B%5Cfrac%7B1%7D%7Bn-1%7D%5Csum%20%28x-%5Cbar%20x%29%5E%7B2%7D%7D%3D%5Csqrt%7B%5Cfrac%7B1%7D%7B8-1%7D%5Ctimes%201028888.875%7D%3D383.39)
Compute the <em>z</em>-score for the group "45 to 54" as follows:

Thus, the <em>z</em>-score for the group "25 to 34" is 0.37 and the <em>z</em>-score for the group "45 to 54" is 0.25.
The given polynomial is 21x⁴ + 3y - 6x² + 34
We want to subtract a polynomial, f(x) so that
21x⁴ + 3y - 6x² + 34 - f(x) = 29x² - 7
Therefore
-f(x) = 29x² - 7 - (21x⁴ + 3y - 6x² + 34)
= -21x⁴ + 35x² - 3y - 41
Answer: 21x⁴ - 35x² + 3y + 41