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Annette [7]
3 years ago
12

A sofa is 12 years oldvand a table is 36 years omd.In how many years will the table be twice as old as the sofa ?​

Mathematics
1 answer:
maw [93]3 years ago
4 0

Answer:

12 years later.

Step-by-step explanation:

Let assume in X years, the table will be twice as old as the sofa.

36+X=2(12+X), X=12

Or think it the other way. The difference of ages between two things never change. So they must have a difference(of age) of 24 forever. When will this difference(24) be as same as the younger's age so that the older one is exactly twice as old as the younger? 12 years later when the sofa is 24.

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Complete Question

Answer:

a

  SE  = 0.66}

b

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Step-by-step explanation:

From the question we are told that

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   The first sample mean is  \= x _1  =  8

    The second sample mean is   \= x _2  =  10

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    The first variance is  v_2 =  0.55

Given that  the confidence level is 95% then the level of significance is 5% =  0.05

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

   Z_{\frac{\alpha }{2} } =  1.96

Generally the first standard deviation is  

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=>   \sigma_1 =  \sqrt{0.25}

=>   \sigma_1 =  0.5

Generally the second standard deviation is

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=>   \sigma_2 =  \sqrt{0.55}

=>   \sigma_2 =  0.742    

Generally the first standard error is

     SE_1  =  \frac{\sigma_1}{\sqrt{n} }

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Generally the second standard error is

     SE_2  =  \frac{\sigma_2}{\sqrt{n} }

      SE_2  =  \frac{0.742}{\sqrt{60} }

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Generally the standard error of the difference between their mean scores is mathematically represented as    

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=>  -3.29 <  \mu_1 - \mu_2 <  -0.70  

 

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