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Karo-lina-s [1.5K]
2 years ago
8

Find the midpoint of points A(10,-7) and B(6, 1) graphically.

Mathematics
1 answer:
sashaice [31]2 years ago
4 0

Answer:

(8,-3)

Step-by-step explanation:

<u>Midpoint Formula: </u> (\frac{x^{1}+x^{2}  }{2}, \frac{y^{1} +y^{2} }{{2} }   )

Plug in your numbers from the coordinates:

(10+6/2, -7+1/2)

(16/2, -6/2)

(8,-3)

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0.2

Step-by-step explanation:

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The number of rows in an auditorium can be represented by the function f(x) = 80x. the number of seats in each row can be repres
Dominik [7]

Applying multiplication of functions, the total number of seats in the auditorium is given by:

h(x) = 80x² + 560x.

<h3>How polynomial functions are multiplied?</h3>

They are multiplied applying the distributive property, that is, all the terms are multiplied and then the common terms are added.

In this problem, the functions are given as follows:

  • f(x) = 80x.
  • g(x) = x + 7.

Then the multiplication is:

h(x) = f(x)g(x) = 80x(x + 7) = 80x² + 560x.

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4 0
2 years ago
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
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