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Vanyuwa [196]
4 years ago
14

Jose received $30 for his birthday and put it in his piggy bank. Each week, he puts 4 more dollars in his bank. The amount of mo

ney in dollars D in his bank is given by D = 4w + 30 where w is the number of weeks he has saved 4 dollars. His sister Marisol makes a table of reasonable values for w. Marisol selects 16 as a value for w.
What is the corresponding table entry for D?

A.
34

B.
434

C.
50

D.
94
Mathematics
1 answer:
stepladder [879]4 years ago
4 0
<span>Try to substitute w = 36 in your formula D=4*w+30</span>
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a

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b

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c

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d

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Step-by-step explanation:

From the question we are told that

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     The number of defective is  k =  18

The null hypothesis is  H_o  :  p  =  0.08

The  alternative hypothesis is  H_a  :  p > 0.08

Generally the sample proportion is mathematically evaluated as

            \r p =  \frac{18}{200}

            \r p =  0.09

Given that the confidence level is  95% then the level  of significance is mathematically evaluated as

        \alpha  =  100 -  95

        \alpha  =  5\%

        \alpha  =  0.05

Next we obtain the critical value of  \frac{ \alpha }{2} from the normal distribution table, the value is  

        Z_{\frac{\alpha }{2} } =  1.96

Generally the standard of error is mathematically represented as

          SE   =  \sqrt{\frac{\r p (1 -  \r p)}{n} }

substituting values

         SE   =  \sqrt{\frac{0.09  (1 -  0.09)}{200} }

        SE   =0.020

The  margin of error is  

       E =  Z_{\frac{ \alpha }{2} }  * SE

=>    E =  1.96  *  0.020

=>   E =  0.0397

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=>   0.09 - 0.0397  <  \mu <  p < 0.09 + 0.0397

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