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zimovet [89]
3 years ago
11

I have a math question that im stuck on 2 - 2x ≥ x + 66

Mathematics
1 answer:
kakasveta [241]3 years ago
8 0

Answer:

x is less than or equal to 64/-3

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Which is the equation of a circle whose center is at the origin and that passes through the point (3, 5)?
xxTIMURxx [149]

Answer:

x² + y² = 34

Formula:

  • (x - h)² + (y - k)² = r²                    where (h, k) is the center

<u>Here find the radius using distance formula</u>:                → origin : (0, 0)

  • √(x2-x1)²+(y2-y1)²
  • √(3-0)²+(5-0)²
  • √9+25
  • √34

<u>Thus the equation of circle</u>:

  • (x - 0)² + (y - 0)² = (√34)²
  • (x - 0)² + (y - 0)² = 34
  • x² + y² = 34

7 0
3 years ago
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The athletic departments at 10 randomly selected U.S. universities were asked by the Equal Employment Opportunity Commission to
Lesechka [4]

Answer: Mean = 3.5 , median = 2.5, mode = 2, geometric mean = 2.74

Median is the most appropriate measure of central tendency.

The least appropriate = mean

Yes there is an outlier.

Step-by-step explanation:

Given responses : 5, 4, 2, 1, 1, 2, 10, 2, 3, 5.

First arrange them in increasing order, \sqrt[10]{1\times1\times2\times2\times2\times3\times4\times5\times5\times10 }\\\\=\sqrt[10]{24000} \approx2.74

Its sum = 35

Mean of n observations = (Sum of observations) ÷ n

Mean = (35) ÷ 10

=3.5

Here n =10 (even)

Median = average of middle most numbers = \dfrac{2+3}{2}=\dfrac52=2.5

Mode = most repeated number = 2    (thrice)

geometric mean = \sqrt[n]{x_1\times x_2\times.... x_n}

10 is an outlier as it is very large as compare to other numbers.

When outlier is present in data , the median is the most appropriate measure of central tendency.

Mean affected badly by the outlier so it the least appropriate.

4 0
3 years ago
The perimeter of a rectangle is 128 cm, and the ratio of its sides is 5: 3. Find the area of ​​a rectangle
blondinia [14]

Answer:

Area of the rectangle =15 cm^2

Step-by-step explanation:

Perimeter of the rectangle= 128 cm

Ratio of length to width is:

\frac{Length}{Width}= \frac{5}{3} \\\\Length=5 cm\\\\Width=3 cm

Area of the rectangle= Length*Width

=5cm*3cm\\\\=15cm^2

Area of the rectangle =15 cm^2

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3 years ago
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If there wee 160 houses built and 3/8 of them are sold than how many are left
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There would be 60 houses left
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