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sveta [45]
3 years ago
12

InequalitiesI 5x - 3 I > 7

Mathematics
1 answer:
Papessa [141]3 years ago
7 0
| 5x - 3 |\geq 7\\
5x-3\geq7 \vee 5x-3\leq-7\\
5x\geq10 \vee 5x\leq-4\\
x\geq 2 \vee x\leq-\frac{4}{5}\\
x\in\langle-\frac{4}{5},2\rangle
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What is the answer ?
Sphinxa [80]

Answer:

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A researcher surveys middle-school students on their study habits. She finds that in a random sample of 28 middle-school student
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Answer:

The margin of error is  E = 1.96 *  \frac{ 0.92}{\sqrt{28 } }

Step-by-step explanation:

From the question we are told that

    The sample size is  n  =  28

     The  sample  mean is  \= x  =  2.4 \ hr

      The  standard deviation is  \sigma =  0.92  \ hr

     

Given that the confidence level is 95% the the level of significance can be evaluated as

             \alpha  =  100 -95

            \alpha  =  5 \%

             \alpha  = 0.05

Next we obtain the critical value of  \frac{\alpha }{2} from the normal distribution table,the value is  Z_{\frac{\alpha }{2} } =  Z_{\frac{0.05}{2} } =  1.96

Generally the margin of error is mathematically represented as

           E =  Z_{\frac{\alpha }{2} } *  \frac{\sigma }{\sqrt{n} }

substituting values

          E = 1.96 *  \frac{ 0.92}{\sqrt{28 } }

         E = 0.3408

5 0
4 years ago
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