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n200080 [17]
3 years ago
9

Factor the expression completely 40-5x

Mathematics
2 answers:
Masja [62]3 years ago
8 0

The GCF (Greatest Common Factor) of 40 and 5 is 5!

Divide both numbers by 5.

40 / 5 = 8

-5x / 5 = -x

Rewrite the expression using the distributive property.

5(8 - x)

Best of Luck!

tatyana61 [14]3 years ago
7 0

Answer:

5(8-x)

Step-by-step explanation:

Fact using the GCF (Greatest Common Factor) of 40 and 5

Factors of 5:

1,5

Factors of 40:

1,2,4,5,8,10,20,40

The greatest factor they both have is 5

Factor by distributing out a 5

40-5x

5(8-x)

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The 2003 Statistical Abstract of the United States reported the percentage of people years of age and older who smoke. Suppose t
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Complete Question

The 2003 Statistical Abstract of the United States reported the percentage of people 18 years of age and older who smoke. Suppose that a study designed to collect new data on smokers and non smokers uses a preliminary estimate of the proportion who smoke of 0.30.

a. How large a sample should be taken to estimate the proportion of smokers in the population with a margin of error of 0.02? use 95% confidence.

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Answer:

a

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Step-by-step explanation:

Considering question a

From the question we are told that

    The margin of error is  E = 0.02

     The preliminary estimate of the proportion who smoke is  p = 0.30

From the question we are told the confidence level is  95% , hence the level of significance is    

      \alpha = (100 - 95 ) \%

=>   \alpha = 0.05

Generally from the normal distribution table the critical value  of  \frac{\alpha }{2} is  

   Z_{\frac{\alpha }{2} } =  1.96

Generally the sample size is mathematically  represented as  

      n = [ \frac{Z_{\frac{\alpha }{2} }  }{E} ] ^2  *  p(1 - p )

=>   n = [ \frac{1.96  }{0.02} ] ^2  *  0.30(1 -  0.30  )

=>   n = 2017

Considering question b

 From the question we are told that

   The number of smokers  is  k =  520  

Generally the  point estimate of the proportion of smokers in the population is mathematically represented as

        \^ p =  \frac{520 }{2017 }

=>    \^ p = 0.2578

Considering  question c

Generally 95% confidence interval is mathematically represented as  

      \^ p -E <  p <  \^ p +E

=>   0.2578 - 0.02 <  0.2578 + 0.02

=>   0.238  <  0.278

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