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maks197457 [2]
2 years ago
9

Which values are outliers? 6. 1, 3. 9, 6. 4, 10. 6, 4. 4, 4. 5, 1. 6, 11. 2, 0. 8, 3. 9, 6. 5 Select Outlier or Not Outlier for

each data point.
Mathematics
1 answer:
Scorpion4ik [409]2 years ago
4 0

Answer:

<em>10 and 11</em>

Step-by-step explanation:

  1. An outlier is a number that is much larger or smaller than the general populous of numbers. For example, if there was a dot plot with dots clustered at 2, 3, and 5, but there was one or two dots around 10, then 10 would be considered an outlier.
  2. Let's put the numbers in order to see easier which numbers are outliers. I will not copy down repeating numbers.
  3. 0, 1, 2, 3, 4, 5, 6, 10, 11.
  4. 10 and 11 are isolated <3

If I am incorrect in my reasoning, please let me know so that I can plan better for my future answers. Have an amazing day.

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The equation of the tangent plane to the ellipsoid x2/a2 + y2/b2 + z2/c2 = 1 at the point (x0, y0, z0) can be written as xx0 a2
svetlana [45]

Answer:

The equation of tangent plane to the hyperboloid

\frac{xx_0}{a^2}+\frac{yy_0}{b^2}-\frac{zz_0}{c^2}=1.

Step-by-step explanation:

Given

The equation of ellipsoid

\frac{x^2}{a^2}+\frac{y^2}{b^2}+\frac{z^2}{c^2}=1

The equation of tangent plane at the point \left(x_0,y_0,z_0\right)

\frac{xx_0}{a^2}+\frac{yy_0}{b^2}+\frac{zz_0}{c^2}=1  ( Given)

The equation of hyperboloid

\frac{x^2}{a^2}+\frac{y^2}{b^2}-\frac{z^2}{c^2}=1

F(x,y,z)=\frac{x^2}{a^2}+\frac{y^2}{b^2}-\frac{z^2}[c^2}

F_x=\frac{2x}{a^2},F_y=\frac{2y}{b^2},F_z=-\frac{2z}{c^2}

(F_x,F_y,F_z)(x_0,y_0,z_0)=\left(\frac{2x_0}{a^2},\frac{2y_0}{b^2},-\frac{2z_0}{c^2}\right)

The equation of tangent plane at point \left(x_0,y_0,z_0\right)

\frac{2x_0}{a^2}(x-x_0)+\frac{2y_0}{b^2}(y-y_0)-\farc{2z_0}{c^2}(z-z_0)=0

The equation of tangent plane to the hyperboloid

\frac{2xx_0}{a^2}+\frac{2yy_0}{b^2}-\frac{2zz_0}{c^2}-2\left(\frac{x_0^2}{a^2}+\frac{y_0^2}{b^2}-\frac{z_0^2}{c^2}\right)=0

The equation of tangent plane

2\left(\frac{xx_0}{a^2}+\frac{yy_0}{b^2}-\frac{zz_0}{c^2}\right)=2

Hence, the required equation of tangent plane to the hyperboloid

\frac{xx_0}{a^2}+\frac{yy_0}{b^2}-\frac{zz_0}{c^2}=0

7 0
3 years ago
John buys 100 shares of stock at $100 per share. The price goes up by 10% and he sells 50 shares. Then, prices drop by 10% and h
Juliette [100K]
The profit that John got from the last 50 was $5000.
5 0
3 years ago
The mean of three numbers is 8 two of the numbers are 6 and 11 work out the third number
Andreas93 [3]

Answer:

7

Step-by-step explanation:

To find the number, first multiply 8 by 3, since that is how you find the mean.

8 x 3 = 24 (total)

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Inverse:

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Hope this helps!

4 0
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When is this homework due?
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A regular polygon
olga55 [171]

Answer:

3.6° = ext. angle

Step-by-step explanation:

For the shape to be a regular polygon, all interior angles must be congruent.

We can find every interior angle by using the formula:

\frac{180(n-2)}{n}

\frac{180(100-2)}{100}

\frac{180(98)}{100}

\frac{17640}{100}

176.4 = each int. angle

We also know that int. and ext. angles are supplementary!

180 = 176.4 - x

3.6° = ext. angle

5 0
3 years ago
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