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Naddik [55]
3 years ago
12

А

Mathematics
2 answers:
Tpy6a [65]3 years ago
6 0

Answer:

angle abc=125°

.......................

shutvik [7]3 years ago
4 0

Answer:

125

Step-by-step explanation:

Using the angle addition postulate,

<em>Parts</em><em> </em><em>of</em><em> </em><em>an</em><em> </em><em>Angle</em><em> </em><em>add</em><em> </em><em>up</em><em> </em><em>to</em><em> </em><em>form</em><em> </em><em>a</em><em> </em><em>new</em><em> </em><em>angle</em><em> </em><em>with</em><em> </em><em>the</em><em> </em><em>measure</em><em> </em><em>of</em><em> </em><em>that</em><em> </em><em>angle</em><em> </em><em>is</em><em> </em><em> </em><em>the</em><em> </em><em>sum</em><em> </em><em>of</em><em> </em><em>the</em><em> </em><em>two</em><em> </em><em>separate</em><em> </em><em>angles</em><em>.</em>

<em>Add</em><em> </em><em>ABD</em><em> </em><em>and</em><em> </em><em> </em><em>DBC</em>

<em>65 + 60 = 125</em>

<em>ABC</em><em>=</em><em>1</em><em>2</em><em>5</em>

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Step-by-step explanation:

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4 0
3 years ago
The ages of 11 students enrolled in an on-line macroeconomics course are given in the following steam-and-leaf display:
blsea [12.9K]

Answer:

The standard deviation of the age distribution is 6.2899 years.

Step-by-step explanation:

The formula to compute the standard deviation is:

SD=\sqrt{\frac{1}{n}\sum\limits^{n}_{i=1}{(x_{i}-\bar x)^{2}}}

The data provided is:

X = {19, 19, 21, 25, 25, 28, 29, 30, 31, 32, 40}

Compute the mean of the data as follows:

\bar x=\frac{1}{n}\sum\limits^{n}_{i=1}{x_{i}}

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Compute the standard deviation as follows:

SD=\sqrt{\frac{1}{n}\sum\limits^{n}_{i=1}{(x_{i}-\bar x)^{2}}}

      =\sqrt{\frac{1}{11-1}\times [(19-27.182)^{2}+(19-27.182)^{2}+...+(40-27.182)^{2}]}}\\\\=\sqrt{\frac{395.6364}{10}}\\\\=6.28996\\\\\approx 6.2899

Thus, the standard deviation of the age distribution is 6.2899 years.

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hope this helps

Step-by-step explanation:

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