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Volgvan
3 years ago
8

Solve the equation. 2(3z-2)+8=34 A. z=3 B. z=-3 C. z=-4 D. z=5

Mathematics
2 answers:
levacccp [35]3 years ago
6 0
<span>2(3z-2)+8=34
6z - 4 + 8 = 34
6z + 4 = 34
6z = 34 -4
6z = 30
z =30/6
z = 5

answer </span><span>D. z=5</span>
mario62 [17]3 years ago
4 0
<span>Step 1: 2(3z-2)+8=34
Step 2: 6z - 4 + 8 = 34
Step 3: 6z + 4 = 34
Step 4: 6z = 34 -4
Step 5: 6z = 30
Step 6: z =30/6
Step 7: z = 5

D is your answer : )
</span>
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In a Pew Research Center poll of 745 randomly selected adults, 589 said that it is morally wrong to not report all income on tax
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Answer:

a

 

   The  null hypothesis is  H_o  :  p =  0.75

  The  alternative  hypothesis is  H_a  :  p \ne  0.75

b

   t = 2.51

c

   p-value  =  0.01207

d

 There no sufficient evidence to conclude that 75% of adults say that it is morally wrong to not report all income on tax returns

Step-by-step explanation:

From the question we are told that

    The  sample  size is  n  =  745

     The  number that said it is morally wrong is  k  =  589

       The  level of significance is  \alpha =  0.01

        The population proportion is p  =  0.75

Generally the sample  proportion is mathematically represented as

        \r p  =  \frac{k}{n}

=>     \r p  =  \frac{589}{745}

=>     \r p  =  0.79

 The  null hypothesis is  H_o  :  p =  0.75

  The  alternative  hypothesis is  H_a  :  p \ne  0.75

The  standard error is mathematically represented as

     SE =  \sqrt{\frac{p(1-p)}{n} }

=>    SE =  \sqrt{\frac{0.75(1-0.75)}{745} }

=>    SE  =0.0159

Generally the test statistics is mathematically represented as

      t =  \frac{\r p - p }{SE}

=>   t =  \frac{0.79 - 0.75 }{0.0159}

=>    t = 2.51

Generally the p-value is  mathematically represented as

        p-value  =  2 * P(Z >  2.51)

From the the z-table  

            P(Z >  2.51) = 0.0060366

=>   p-value  =  2 * 0.0060366

=>   p-value  =  0.01207

From the calculation  p-value >\alpha

    Hence we fail to reject the null hypothesis

Thus there no sufficient evidence to conclude that 75% of adults say that it is morally wrong to not report all income on tax returns

     

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