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valentinak56 [21]
3 years ago
6

9. What is the formula to find the sum of the interior angles for any polygon?

Mathematics
1 answer:
SOVA2 [1]3 years ago
3 0

polygon: (n-2) × 180

n: nonagon

octagon has 8 sides

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The volume of an object is equal to the ratio of its mass to density, V = StartFraction m Over d EndFraction. The mass of a sphe
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3 years ago
1. Section 3.1 Measures of Central Tendency pH in Water: The acidity of alkalinity of a solution is measured using pH. A pH less
disa [49]

Answer:

For tap water

Mean = 7.5

Median = 7.485

Mode = 7.47

For bottled water

Mean = 5.1942

Median = 5.22

Mode = 5.26

b) Tap water is alkaline while bottled water is acidic

c) For 7.10 recorded as 1.70, mean value will decrease to 7.05

Step-by-step explanation:

Given;

pH readings for tap water

7.64, 7.45, 7.47, 7.50, 7.68, 7.69, 7.45, 7.10, 7.56, 7.47, 7.52, 7.47

Now,

Mean = \frac{\textup{Sum of all readings}}{\textup{Number of readings}}

Sum of all readings

= 7.64 + 7.45+ 7.47+ 7.50+ 7.68+ 7.69+ 7.45+ 7.10+ 7.56+ 7.47+7.52+7.47

= 90

Number of readings = 12

or

Mean = \frac{90}{12}

or

Mean = 7.5

For median

Putting the data set in ascending numerical order

7.10 , 7.45, 7.45, 7.47, 7.47, 7.47 , 7.50, 7.52, 7.56, 7.64 , 7.68, 7.69

Thus,

median = \frac{\textup{7.47+7.50}}{\textup{2}} = 7.485

Mode = number that appears most frequently = 7.47

Now for bottled water

Readings are :

5.15 5.09 5.26 5.20 5.02 5.23 5.28 5.26 5.13 5.26 5.21 5.24

Mean = \frac{\textup{Sum of all readings}}{\textup{Number of readings}}

Sum of all readings =

5.15 + 5.09 + 5.26 + 5.20 + 5.02 + 5.23 + 5.28 + 5.26 + 5.13 + 5.26 + 5.21 + 5.24

= 62.33

Number of readings = 12

Mean = \frac{\textup{62.33}}{\textup{12}}

or

Mean = 5.1942

Putting the data set in ascending numerical order

5.02, 5.09,  5.13, 5.15, 5.20, 5.21, 5.23, 5.24, 5.26, 5.26, 5.26, 5.28

median = \frac{\textup{5.21&#10;+5.23}}{\textup{2}} = 5.22

Mode = number that appears most frequently = 5.26

b) Tap water is alkaline while bottled water is acidic

c) For 7.10 recorded as 1.70

Mean = \frac{\textup{Sum of all readings}}{\textup{Number of readings}}

Sum of all readings

= 7.64 + 7.45+ 7.47+ 7.50+ 7.68+ 7.69+ 7.45+ 1.70+ 7.56+ 7.47+7.52+7.47

= 84.6

Number of readings = 12

or

Mean = \frac{84.6}{12}

or

Mean = 7.05

Hence , the mean value will decrease to 7.05

3 0
3 years ago
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