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34kurt
3 years ago
8

Antonio drove 26 miles north, and then drives west. At the end of his drive, it is determined that he is 50 miles from where he

started. How far did he drive west
Mathematics
1 answer:
Dmitriy789 [7]3 years ago
8 0

Answer:

24

Step-by-step explanation:

50 minus 26 is 24 so this explains that it is 24 pretty easy not gonna lie

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Complete Question

The  complete question is shown on the first uploaded image  

Answer:

The  95% confidence interval is  -0.00870

Step-by-step explanation:

From the question we are told that

     The first sample  size  is  n_1  =  1068000

     The first proportion  \r p_1 = 0.084

     The second  sample size is  n_2  =  1476000

     The  second  proportion is  \r p_2 =  0.092

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

      \alpha =  (100 - 95)\%

     \alpha =  0.05

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

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

Now using the formula from the question to construct the 95% confidence interval we have  

  (\r p_1 - \r p_2  )- z_c \sqrt{ \frac{\r p_1 \r q_1 }{n_1} + \frac{\r p_2 \r q_2 }{n_2} }

Here \r q_1 =  1 - \r p_1

  =>   \r q_1 =  1 - 0.084

 =>    \r q =  0.916

and  

   \r q_2 =  1 - \r p_2

 =>   \r q_2 =  1 - 0.092

=>   \r q_2 = 0.908

So  

 (0.084 - 0.092 )- (1.96)*  \sqrt{ \frac{0.092* 0.916 }{1068000} + \frac{0.084* 0.908 }{1476000} }

  -0.00870

 

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3 years ago
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