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MA_775_DIABLO [31]
1 year ago
14

The sum of all proportions in a frequency distribution should be______.

Mathematics
1 answer:
NeX [460]1 year ago
8 0
It should always be 100
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Find the mode of the following data set: 18,17,12,14,8,21,10,11,19,20,5,17,12,10,20
dem82 [27]

Answer:

C.10

Step-by-step explanation:

it is the only number that appeared most times

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Fill in the missing term in the equation. x/x^2-4x+4-x/x^2-3x+2=?/(x-2)^2(x-1)
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<span>           x                            x
-----------------  -  --------------------
x^2 -4x + 4            </span><span>x^2-3x+2

</span>           x                            x
= ----------------  -  --------------------
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        x (x-1)  - x(x +2)                       
= ----------------------------
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      x^2 -x -x^2 - 2x                    
= --------------------------
      (x -2)^2 (x - 1)

           -3x                    
= -----------------------
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answer 
<span>missing term in the equation: -3x</span>
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ASAP GEO PROBLEM HELP NEEDED QUICK
olya-2409 [2.1K]

Answer:

See below.

Step-by-step explanation:

The converse of the Pythagorean Theorem tells us that if the sum of the square of the two shorter lengths is equivalent to the square of the longest length, then the triangle is indeed a right triangle.

We have the side lengths (x²-1), (2x), and (x²+1).

We can see that our hypotenuse will be (x²+1), since it will always yield the largest value for x.

So, we can use the Pythagorean Theorem:

a^2+b^2=c^2

Substitute (x²-1) and (2x) for a and b, and substitute (x²+1) for c:

(x^2-1)^2+(2x)^2\stackrel{?}{=}(x^2+1)^2

Square each expression:

(x^4-2x^2+1)+(4x^2)\stackrel{?}{=}(x^4+2x^2+1)

Combine like terms:

x^4+(-2x^2+4x^2)+1\stackrel{?}{=}(x^4+2x^2+1)

Add:

x^4+2x^2+1\stackrel{\checkmark}{=}x^2+2x^2+1

We can see that the resulting equations are equivalent, proving that the triangle is indeed a right triangle.

And we're done!

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The window for the new house requires 14.4 feet of glass if it is double paned.

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