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Rashid [163]
3 years ago
12

0.9(x+1.4)-23+0.1x=1.6

Mathematics
1 answer:
Lerok [7]3 years ago
6 0
<span>Simplifying 0.9(x + 1.4) + -2.3 + 0.1x = 1.6 Reorder the terms: 0.9(1.4 + x) + -2.3 + 0.1x = 1.6 (1.4 * 0.9 + x * 0.9) + -2.3 + 0.1x = 1.6 (1.26 + 0.9x) + -2.3 + 0.1x = 1.6 Reorder the terms: 1.26 + -2.3 + 0.9x + 0.1x = 1.6 Combine like terms: 1.26 + -2.3 = -1.04 -1.04 + 0.9x + 0.1x = 1.6 Combine like terms: 0.9x + 0.1x = 1x -1.04 + 1x = 1.6 Solving -1.04 + 1x = 1.6 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '1.04' to each side of the equation. -1.04 + 1.04 + 1x = 1.6 + 1.04 Combine like terms: -1.04 + 1.04 = 0.00 0.00 + 1x = 1.6 + 1.04 1x = 1.6 + 1.04 Combine like terms: 1.6 + 1.04 = 2.64 1x = 2.64 Divide each side by '1'. x = 2.64 Simplifying x = 2.64</span>
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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
Can you help me please ​
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$5000 I think should be right
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Answer:

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Step-by-step explanation:

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Answer:

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