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lina2011 [118]
2 years ago
7

What is the median of these numbers : 6,7,7,8,8,4,7,6,4,6,8,7

Mathematics
2 answers:
Maurinko [17]2 years ago
5 0
The answer is 7 because a median is the middle number of sorted numbers. Sort them from smallest to largest and find the middle! Hope this helps
jenyasd209 [6]2 years ago
4 0

Answer:

7

Step-by-step explanation:

4,4,6,6,6,7,7,7,7,8,8

4,6,6,6,7,7,7,7,8

6,6,6,7,7,7,7

6,6,7,7,7

6,7,7

7

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the lenght of the longer leg of a right triangle is 9 ft longer than the lenght of the shorter leg x. The hypotenuse is 9 ft sho
trasher [3.6K]

Answer:

see below

Step-by-step explanation:  5 23  8 03

the lenght of the longer leg of a right triangle is 9 ft longer than the lenght of the shorter leg x. The hypotenuse is 9 ft shorter than twice the lenght of the shorter leg.

shorter leg    = x

longer leg     = x + 9

hypotenuse  =  2x - 9

Pythagorean theorem  =    a² + b²  = c²

             shorter-leg² + longer-leg² = hypotenuse²

                         x²  +  (x+9)²  = (2x - 9)²                  solve for x

                  x² +  (x+9) (x+9)  =  (2x - 9)(2x - 9)

                 x² +  (x²+18x+81)  =  (4x² - 36x + 81)

                       (2x²+18x+81)  =  (4x² - 36x + 81)

                                          0 =   2x² -54x

                                          0 =  x(2x - 54)  

                           0 = x      and         0 = 2x -54  

                                                       54 = 2x

                                                      27 =  x

shorter leg    = 27        

longer leg     = 36

hypotenuse  =  45

divided all the values by 9 and you get a 3, 4, 5  right triangle, so the answer checks correct  

           

6 0
3 years ago
Evaluate gh-k when g= -7 , h=4, and k= -6
Amanda [17]

Answer: -22

Step-by-step explanation: multiply -7 adn 4 that would be -28 then subtract -6 and it would give you -22

Have a good day!


3 0
3 years ago
2 - 4x = 3x - 12<br> Solve for x
vova2212 [387]

Answer:

x = 2

Step-by-step explanation:

Step 1: Write out equation

2 - 4x = 3x - 12

Step 2: Add 4x on both sides

2 - 4x + 4x = 3x + 4x - 12

2 = 7x - 12

Step 3: Add 12 on both sides

2 + 12 = 7x - 12 + 12

14 = 7x

Step 4: Divide both sides by 7

14/7 = 7x/7

2 = x

Step 5: Rewrite

x = 2

6 0
3 years ago
Read 2 more answers
Ex 3.6<br> 6. find the area enclosed between the curve y= -2x²-5x+3 and the x-axis
Xelga [282]
When y=0,

-2{ x }^{ 2 }-5x+3=0\\ \\ 2{ x }^{ 2 }+5x-3=0\\ \\ \left( 2x-1 \right) \left( x+3 \right) =0

\\ \\ \therefore \quad x=\frac { 1 }{ 2 } \\ \\ \therefore \quad x=-3

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

\int _{ -3 }^{ \frac { 1 }{ 2 }  }{ -2{ x }^{ 2 } } -5x+3dx

\\ \\ ={ \left[ -\frac { { 2x }^{ 2+1 } }{ 2+1 } -\frac { 5{ x }^{ 1+1 } }{ 1+1 } +3x \right]  }_{ -3 }^{ \frac { 1 }{ 2 }  }

\\ \\ ={ \left[ -\frac { 2{ x }^{ 3 } }{ 3 } -\frac { 5{ x }^{ 2 } }{ 2 } +3x \right]  }_{ -3 }^{ \frac { 1 }{ 2 }  }

\\ \\ \\ =\left\{ -\frac { 2 }{ 3 } { \left( \frac { 1 }{ 2 }  \right)  }^{ 3 }-\frac { 5 }{ 2 } { \left( \frac { 1 }{ 2 }  \right)  }^{ 2 }+3\left( \frac { 1 }{ 2 }  \right)  \right\} -\left\{ -\frac { 2 }{ 3 } { \left( -3 \right)  }^{ 3 }-\frac { 5 }{ 2 } { \left( -3 \right)  }^{ 2 }+3\left( -3 \right)  \right\}

\\ \\ \\ =-\frac { 2 }{ 3 } \cdot \frac { 1 }{ 8 } -\frac { 5 }{ 2 } \cdot \frac { 1 }{ 4 } +\frac { 3 }{ 2 } -\left\{ -\frac { 2 }{ 3 } \left( -27 \right) -\frac { 5 }{ 2 } \cdot 9-9 \right\}

\\ \\ =-\frac { 2 }{ 24 } -\frac { 5 }{ 8 } +\frac { 3 }{ 2 } -\left\{ \frac { 54 }{ 3 } -\frac { 45 }{ 2 } -9 \right\}

\\ \\ =-\frac { 2 }{ 24 } -\frac { 15 }{ 24 } +\frac { 36 }{ 24 } -\frac { 54 }{ 3 } +\frac { 45 }{ 2 } +9

\\ \\ =\frac { 19 }{ 24 } -\frac { 54 }{ 3 } +\frac { 45 }{ 2 } +\frac { 18 }{ 2 } \\ \\ =\frac { 19 }{ 24 } -\frac { 54 }{ 3 } +\frac { 63 }{ 2 }

\\ \\ =\frac { 343 }{ 24 }

Answer: 343/24 units squared.
6 0
3 years ago
Read 2 more answers
First, rewrite 5/9 and 11/21 so they have a common denominator. Then, use to order 5/9 and 11/21.
spayn [35]

5/9 and 11/21

LCM of the denominators is 63

changing their denominators to all have a common denominator of 63:

5(7)/63 = 35/63

11(3)/63 = 33/63

from the above;

5/9 > 11/21.

4 0
3 years ago
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