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iVinArrow [24]
3 years ago
6

Calculate the average (arithmetic mean) for the data set (rounded to the nearest tenth

Mathematics
1 answer:
Ugo [173]3 years ago
5 0

The right answer is 19.9

Step-by-step explanation:

Given data set is;

(18, 23, 17, 25, 15, 18, 18, 16, 27, 25, 18, 19)

Sum of terms = 18+23+17+25+15+18+18+16+27+25+18+19 = 239

Number of terms in data set = 12

Average = \frac{Sum\ of\ terms}{Number\ of\ terms}

Average = \frac{239}{12}

Average = 19.91

The average of data set is 19.91

The right answer is 19.9

Keywords: average, addition

Learn more about addition at:

  • brainly.com/question/9729310
  • brainly.com/question/9738996

#LearnwithBrainly

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33 1/3% is the same thing as 0.3 repeated or typically 0.33, and as a fraction it is equivalent to 1/3.

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Klio2033 [76]

Part 1

Focus on triangle ABC.

Since AB is a diameter of the circle, this means angle ACB is 90 degrees. Refer to Thale's Theorem. Or you could use the inscribed angle theorem. Thale's theorem is a special case of the inscribed angle theorem.

Minor arc CB is 48 degrees. Use the inscribed angle theorem to see that angle CAB is 48/2 = 24 degrees.

Therefore, angle CBA = 90 - (angle CAB) = 90 - 24 = 66 degrees

<h3>Answer: 66</h3>

========================================================

Part 2

Inscribed angle CBA was found to be 66 degrees back in part 1.

This doubles to 132 degrees to represent minor arc AC.

Or you could note that:

minor arc AC = 180 - (minor arc CB) = 180 - 48 = 132

Inscribed angle BCD is 48 degrees. This doubles to 96 degrees when using the inscribed angle theorem, and this is the measure of minor arc CBD.

-----------

Here's what we know about the arc measures of the circle

  • minor arc AC = 132 degrees
  • minor arc CB = 48 degrees
  • minor arc BD = 96 degrees

These three arcs, along with minor arc AD, will add up to get a full 360 degree circle. Check out the diagram below.

Adding those 3 pieces gets us 132+48+96 = 276

This means minor arc AD has to be 360 - 276 = 84 degrees

Then use the inscribed angle theorem one more time to divide the minor arc AD in half to get the inscribed angle ACD

84/2 = 42

<h3>Answer:  42</h3>

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Answer:

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Step-by-step explanation:

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