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marysya [2.9K]
2 years ago
9

Find the value of x such that the data set has given mean is 110 102,121,104,112,110,x

Mathematics
1 answer:
8090 [49]2 years ago
8 0

answer

: the data is why 110 isnt 121 instead so what you do is

Step-by-step explanation:

just find whats the missing dominatior

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Joel is designing a ramp for a bike trick. He draws this diagram. What is the value of x?
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Answer:

x = -1

x = 5

Step-by-step explanation:

Use pythagorean theorem: a² + b² = c²

x² + (2x + 2)² = (2x + 3)²

Since these are quantities, you'll have to make them into quadratic equations.

(2x + 2)(2x + 2) = 4x² + 4x + 4x + 4

(2x + 3)(2x + 3) = 4x² + 6x + 6x + 9

x² + 4x² + 4x + 4x + 4 = 4x² + 6x + 6x + 9

Combine like terms

5x² + 8x + 4 = 4x² + 12x + 9

Move one side to set the equation equal to 0

x² - 4x - 5 = 0

Solve

x² - 5x + x - 5 = 0

x(x - 5) + 1(x - 5) = 0

(x + 1)(x - 5) = 0

x = -1, 5

<em>We</em><em> </em><em>can</em><em> </em><em>check</em><em> </em><em>that</em><em> </em><em>these</em><em> </em><em>are</em><em> </em><em>correct</em><em> </em><em>by</em><em> </em><em>plugging</em><em> </em><em>them</em><em> </em><em>in</em><em> </em><em>for</em><em> </em><em>x</em><em> </em><em>and</em><em> </em><em>seeing</em><em> </em><em>if</em><em> </em><em>they</em><em> </em><em>are</em><em> </em><em>equal</em>

<em>For</em><em> </em><em>example</em>

<em>(</em><em>-1</em><em>)</em><em>²</em><em> </em><em>+</em><em> </em><em>(</em><em>2</em><em>(</em><em>-1</em><em>)</em><em> </em><em>+</em><em> </em><em>2</em><em>)</em><em>²</em><em> </em><em>=</em><em> </em><em>(</em><em>2</em><em>(</em><em>-1</em><em>)</em><em> </em><em>+</em><em> </em><em>3</em><em>)</em><em>²</em>

<em>1</em><em> </em><em>=</em><em> </em><em>1</em>

3 0
3 years ago
Subtract.write answer in simplest form 8 1/2-2 5/8
Makovka662 [10]
8 1/2 = 8 4/8, so…
8 4/8-2 5/8= 6 1/8

Final answer is…
6 1/8
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3 years ago
Find the volume of the rectangular prism.
Georgia [21]

Answer:

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Step-by-step explanation:

To find the volume of a rectangular prism, you simply need to multiply all of the side lengths together. 4*9*16=576, or answer choice D.

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Find the center and the radius of the circle with the equation: x^2 +2x + y^2-2y-14 =0
FrozenT [24]
We need to convert the equation of the circle to standard form only then we can find the radius and the center of the circle.

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From this equation we can write:

Center of the circle is (-1,1) and the radius of the circle is 4.
5 0
3 years ago
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Write the set of real numbers from -10 through 10 in interval notation.
alexdok [17]

Answer:

Interval: [-10.10]

Step-by-step explanation:

Given

Set: -10 to 10

Required

Write as interval notation

We start by writing the given parameter as an inequality

Inequality: -10 \leq x \leq 10

The direct representation of \leq and \geq in interval representation of sets is [ and ], which shows that the beginning and end of the interval are inclusive;

So, the above inequality in interval notation is:

Interval: [-10.10]

3 0
3 years ago
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