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Brrunno [24]
3 years ago
12

Please help! Name an angle adjacent and congruent to angle AOC ( diagram in picture)

Mathematics
1 answer:
kipiarov [429]3 years ago
7 0

Answer:

Angle DOC

Step-by-step explanation:

Since angle AOC and angle DOC are ajacent angles that form a straight line, they are supplementary to each other.

By the definition of supplementary angles, you can determine that angle AOC + angle DOC = 180.

Also notice that angle DOC is a right angle (90 degrees), so you can also determine that angle AOC is also a right angle since they are supplementary.

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Ten experts rated a newly developed chocolate chip cookie on a scale of 1 to 50. Their ratings were: 34, 35, 41, 28, 26, 29, 32,
miskamm [114]

The mean deviation of the ratings is  4.12

<em><u>Explanation</u></em>

The ratings of the ten experts are:  34, 35, 41, 28, 26, 29, 32, 36, 38 and 40

So, the mean of all ratings =\frac{34+35+41+28+26+29+32+36+38+40}{10}= \frac{339}{10}=33.9

<u>The formula for Mean deviation</u> = \sum \frac{|x_{i}- \mu|}{N} , where x_{i} is the given data from i=1 to i=10 , \mu is the mean of the data and N is the total number of data. So.....

|x_{1}-\mu |= |34-33.9|=0.1\\ |x_{2}-\mu|=|35-33.9|=1.1\\ |x_{3}-\mu |=|41-33.9|=7.1\\ |x_{4}-\mu |=|28-33.9|=5.9\\ |x_{5}-\mu |=|26-33.9|=7.9\\ |x_{6}-\mu |=|29-33.9|=4.9\\|x_{7}-\mu |=|32-33.9|=1.9\\ |x_{8}-\mu |=|36-33.9|=2.1\\ |x_{9}-\mu |=|38-33.9|=4.1\\ |x_{10}-\mu |=|40-33.9|=6.1

So, the Mean deviation =\sum \frac{|x_{i}-\mu |}{N}=\frac{0.1+1.1+7.1+5.9+7.9+4.9+1.9+2.1+4.1+6.1}{10} = \frac{41.2}{10}=4.12

4 0
3 years ago
Please help, I don’t get this
koban [17]

Answer:

3

5

12

30

50

the answers in order I believe I hope so

6 0
2 years ago
What's the answer ?<br><br><br><img src="https://tex.z-dn.net/?f=%20%5Csqrt%7B9%20%5Ctimes%20144%7D%20" id="TexFormula1" title="
Ivanshal [37]

Answer:

36

Step-by-step explanation:

Square roots have a neat property: \sqrt{ab}=\sqrt{a}\sqrt{b} provided <em>a</em> and <em>b</em> are positive real numbers.

This property is what's behind simplifying square roots.  You look for perfect square factors (4, 9, 16, 25, 36, ...) inside the square root sign.

Example: \sqrt{20}=\sqrt{4\times5}=\sqrt{4}\sqrt{5}=2\sqrt{5}.

In this problem, both factors are perfect squares.

\sqrt{9\times144}=\sqrt{9}\sqrt{144}=3\times12=36

6 0
2 years ago
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yulyashka [42]

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Step-by-step explanation:

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3 years ago
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