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garik1379 [7]
2 years ago
15

Need answers for this

Mathematics
1 answer:
pav-90 [236]2 years ago
5 0

Answer:

Step-by-step explanation:

<h3>Mean, Median,mode</h3>

   \boxed{Mean = \dfrac{Sum \ of  \  all \ data}{number \ of data}}

              \sf = \dfrac{234 + 247 + 236+212+248+243+176+195}{8}\\\\= \dfrac{1791}{8}\\\\= 223.875

<h3>Median:</h3>

Arrange the numbers in ascending order.

  176 , 195 , 212 , 234 , 236 , 243 , 247, 248  

Number of data is even. So, median will be the average of 234 and 236

Median = average of the middle two terms.

            \sf = \dfrac{234+236}{2}\\\\ =\dfrac{470}{2}\\\\= 235

Mode is the data which is occurring more number of times.

Range = maximum - minimum

           = 248 - 176

            = 72

       

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Let a = x^2 + 4. Rewrite the following equation in terms of a and set it equal to zero. ( x^2 + 4 )^2 +32 = 12x^2 + 48
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Answer:  In the resulting equation:  " a² - 12a + 32 = 0 " ;
________________________________________________________
  The "coefficient" of the "a" term is:  " - 12" . 
________________________________________________________
  The "constant" is:  " 32 " .
________________________________________________________

Explanation:

________________________________________________________

Let:   "a = x² + 4 " .

Given:  (x² + 4)²  + 32  =  12x² + 48  ; 
______________________________________________________

Factor:  "12x² + 48" into " (x² + 4) " ;

"12x² + 48"  =  12 (x² + 4) " ;
______________________________________________________

Given:    (x² + 4)²  + 32  =  12x² + 48 ; 

rewrite as;  "a² + 32 = 12a " ; 

Subtract "12a" from each side of the equation; 

"a² + 32 - 12a = 12a - 12a ;
 
to get:

" a² - 12a + 32 = 0 " .
___________________________________________________
The coefficient of the "a" term;  that is:

The "coefficient" of " -12a" ;  is:  "- 12" . 

The constant is:  "32<span>" .
</span>___________________________________________________
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3 years ago
Jack has a mask collection of 500 masks. He keeps 235 of the masks on his wall. What percentage of Jack's mask collection does h
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Answer:

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