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Lera25 [3.4K]
3 years ago
10

Which point represents an approximate solution to this system of equations?

Mathematics
2 answers:
joja [24]3 years ago
5 0
The answer is D. (2.9,-22.8)
GenaCL600 [577]3 years ago
3 0

Answer:

B.(1.5,-0.7)

D.(2.9,-22.8)

Step-by-step explanation:

Given : y=\frac{1}{x-3}

           y=3-x^3

To Find: Which point represents an approximate solution to this system of equations?

Solution:

Plot the given lines on graph

Blue line represents y=\frac{1}{x-3}

Green Line represents  y=3-x^3

Now the intersection point of these line ill provide the solution,

So, intersecting points are (1.5,-0.86) i.e. (1.5,-0.7) and (2.9,-22.8)

So, Option B and Option D represents an approximate solution to this system of equations.

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A recent study of 26 city residents showed that the time they had lived at their present address has a mean of 10.3 years with t
svetlana [45]

Answer:

The 95% confidence interval is  9.15<  \mu < 11.45

Step-by-step explanation:

From the question we are told that

     The sample size is  n =  26

      The mean is  \= x =  10.3

       The standard deviation is  s =  3

From the question we are told the confidence level is  95% , hence the level of significance is    

      \alpha = (100 - 95 ) \%

=>   \alpha = 0.05

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

   Z_{\frac{\alpha }{2} } =  1.96

Generally the margin of error is mathematically represented as  

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

=>   E =  1.96 *  \frac{3}{\sqrt{26} }

=>   E = 1.1532

Generally 95% confidence interval is mathematically represented as  

      \= x -E <  \mu <  \=x  +E

=>   10.3  -1.1532 <  \mu < 10.3  +  1.1532

=>    9.15<  \mu < 11.45

7 0
3 years ago
When five is added to three more than a certain the result is 19 what is the number?
gulaghasi [49]

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Step-by-step explanation:

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Step-by-step explanation:

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