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Colt1911 [192]
3 years ago
15

Tell whether the statement is True or False. 316x - 2) - 7 = 18x - 13

Mathematics
2 answers:
Ira Lisetskai [31]3 years ago
7 0

Answer:

True.

Step-by-step explanation:

Multiply 3 by 6x-2 and you get (18x-6). Subtract 7 from -6 gives you 13, which equals 18x-13.

user100 [1]3 years ago
5 0

Answer:

True

Step-by-step explanation:

You want to get the x's by themselves, so first you have to use the distributive property.

3 x 6x = 18x

3 x 2 = 6

So now the equation should look like

18x - 6 - 7 = 18x - 13

So now you have to get the x's by itself by adding or subtracting like terms.

- 6 - 7 = -13

18x - (-13) = 18x - 13

       + (-13)         + (-13)

-----------------------

18x = 18x

18/18     18/18

x = 1

Now plug the numbers in

3(6(1) - 2) - 7 = 18(1) - 13

5    =   5

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ducational Television In a random sample of people, said that they watched educational television. Find the confidence interval
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Complete Question

Educational Television In a random sample of 200 people, 159 said that they watched educational television. Find the 90% confidence interval of the true proportion of people who watched educational television. Round the answers to at least three decimal places.

Answer:

The 90% confidence interval is   0.748  <  p <  0.842      

Step-by-step explanation:

From the question we are told that

     The sample size is  n = 200

     The number of people that watched the educational television is k =  159

Generally the sample proportion is mathematically represented as

               \^ p =  \frac{159}{200}

=>               \^ p =  0.795

From the question we are told the confidence level is  90% , hence the level of significance is    

      \alpha = (100 - 90) \%

=>   \alpha = 0.10

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

   Z_{\frac{\alpha }{2} } =  1.645

Generally the margin of error is mathematically represented as  

     E =  Z_{\frac{\alpha }{2} } * \sqrt{\frac{\^ p (1- \^ p)}{n} }

=>     E =  1.645  * \sqrt{\frac{0.795 (1- 0.795)}{200} }

=>     E = 0.04696

Generally 95% confidence interval is mathematically represented as  

      \^ p -E <  p <  \^ p +E

=>    0.795  -0.04696  <  p <  0.795 + 0.04696

=>    0.748  <  p <  0.842      

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