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exis [7]
3 years ago
11

In the figure to the right, AE + DC = 1 1/5 cm, AB = 1 3/4 cm, DE = 1 1/4 cm, and BC = 1 3/10 cm. Find the perimeter of the figu

re.

Mathematics
1 answer:
Sloan [31]3 years ago
5 0

Answer:

5\dfrac{1}{2}\ cm

Step-by-step explanation:

The perimeter of the shown figure is the sum of the lengths of all sides. So, the perimeter is

AE+ED+DC+CB+AB

Using commutative and reflexive properties, rewrite it as follows:

(AE+DC)+DE+BC+AB

Therefore, the perimeter is

P\\ \\=1\dfrac{1}{5}+1 \dfrac{1}{4}+1\dfrac{3}{10}+1\dfrac{3}{4}\\ \\=(1+1+1+1)+\left(\dfrac{1}{5}+\dfrac{3}{10}\right)+\left(\dfrac{1}{4}+\dfrac{3}{4}\right)\\ \\=4+\left(\dfrac{2}{10}+\dfrac{3}{10}\right)+1\\ \\=5+\dfrac{5}{10}\\ \\=5+\dfrac{1}{2}\\ \\=5\dfrac{1}{2}\ cm

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3 years ago
magazine provided results from a poll of adults who were asked to identify their favorite pie. Among the ​respondents, ​% chose
Alex73 [517]

Complete Question

A magazine provided results from a poll of 500 adults who were asked to identify their favorite pie. Among the 500 ​respondents, 12 ​% chose chocolate​ pie, and the margin of error was given as plus or minus 5 percentage points.What values do ​ \r p ,  \ \r q, ​n, E, and p​ represent? If the confidence level is 90​%, what is the value of \alpha ​?

Answer:

a

   \r p is the sample proportion   \r  p  =  0.12

   n is the  sample size is  n  =  500

   E is the  margin of error is E  =  0.05

   \r  q represents the proportion of those that did not chose chocolate​ pie i.e                        \r  q  =  1-  \r p

b

   \alpha  = 10\%

Step-by-step explanation:

Here

    \r p is the sample proportion   \r  p  =  0.12

   n is the  sample size is  n  =  500

    \r  q represents the proportion of those that did not chose chocolate​ pie i.e  

      \r  q  =  1-  \r p

      \r  q  =  1-  0.12

      \r  q  = 0.88

     E is the  margin of error is E  =  0.05

Generally \alpha is the level of significance and it value is mathematically evaluated as

     \alpha  = ( 100 -  C  )\%

Where  C is the confidence level which is given in this question as  C =  90  \%

So  

    \alpha  = ( 100 -  90  )\%

    \alpha  = 10\%

5 0
3 years ago
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