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Tresset [83]
3 years ago
5

What is the solution to the inequality below. x(absolute value) <5

Mathematics
1 answer:
jok3333 [9.3K]3 years ago
8 0

Answer:

-5 < x < 5

Step-by-step explanation:

|x| < 5

This can be split into two cases: x < 5 and -x < 5 because |x| could be either x or -x depending on whether x is positive, negative, or 0. Solving the second one we get x > -5 so the answer is -5 < x < 5.

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Oder of operations:Evaluate each expression 32÷8×4​
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Answer:

16

Step-by-step explanation:

32÷8×4

4×4

16

3 0
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\%

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