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Veseljchak [2.6K]
3 years ago
15

Please answer my question ​

Mathematics
1 answer:
Aleksandr [31]3 years ago
8 0

Answer:

0.327

Step-by-step explanation:

=> \frac{\sqrt{2}\sqrt{5} -\sqrt{5}  }{2\sqrt{2} }

Let's put all the givens

=> \frac{(1.414)(2.236)-(2.236)}{2(1.414)}

=> \frac{3.162-2.236}{2.828}

=> \frac{0.926}{2.828}

=> 0.327

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Ellie read an article claiming that 10% of people in her county were senior citizens, and she thought that it may be higher for
viva [34]

Answer:

The  value is z = 3

Step-by-step explanation:

From the question we are told that

   The  population proportion of senior citizens is  p  = 0.10

   The  sample size is  n  = 225

   The  number of senior citizens is  k =  36

   The  null hypothesis is  H_o :  p =  0.10

    The alternative hypothesis is  H_a : p > 0.10

Generally the sample proportion is mathematically represented as

     \^{p} =  \frac{k}{n}

=>   \^{p} =  \frac{  36 }{225}

=>  \^{p} =0.16

Generally the test statistics is mathematically represented as

     z =  \frac{\^{p}  -  p }{\sqrt{\frac{p(1 -p )}{n} } }

=>    z =  \frac{0.16 -  0.10 }{\sqrt{\frac{p(1 -0.10)}{225} } }

=>    z = 3

3 0
3 years ago
The equation of the line with slope = 3, going through point (2, 4) is:
Marina86 [1]

(\stackrel{x_1}{2}~,~\stackrel{y_1}{4})\hspace{10em} \stackrel{slope}{m} ~=~ -3 \\\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{4}=\stackrel{m}{-3}(x-\stackrel{x_1}{2}) \\\\\\ y-4=-3x+6\implies y=-3x+10

7 0
2 years ago
Read 2 more answers
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