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IRINA_888 [86]
3 years ago
9

Remove a number from the following data set so the mean is 20. 10, 12, 20, 23, 25

Mathematics
1 answer:
Nesterboy [21]3 years ago
4 0

Answer:

Take £ to be sigma

mean=£fx/£f

This means the sum of the digits divided by the number of digits

So from the above question 10+12+20+23+25=90 but 90 - 10 = 80

And 80 divided by 4 is 20

therefore the mean is 20.

Step-by-step explanation:

First of all, since the sum of the above digits is 90, we would need to exclude one of the above digits to make the number, a number divisible by 4( since we have excluded one of the 5 digits to make it 4 ) equal to 20.

So systematically, the equation would be defined as

x/4 = 20/1

hence we cross multiply and x becomes

x = 20 × 4

therefore x= 80

Hence, since x = 80 we divide this by our number of digits above hence giving you

80 ÷ 4 = 20

So from the above equation, we would need to exclude 10 to give us our mean of 20.

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Graph and label the image of the figure below after a dilation by a factor of 1/2.
neonofarm [45]
Answer:

M' (1.5, -1), F' (2, -1), L' (0.5 -2.5), W' (2.5, -2.5)

see graph below

Explanation:

Given:

The image of a quadrilateral on a coordinate plane

To find:

The coordinates of the new image after dilation of 1/2 have been applied to the original image.

Then graph the coordinates

First, we need to state the coordinates of the original image:

M = (3, -2)

F = (4, -2)

L = (1, -5)

W = (5, -5)

Next, we will apply a scale factor of 1/2:

\begin{gathered} Dilation\text{ rule:} \\ (x,\text{ y\rparen}\rightarrow(kx,\text{ ky\rparen} \\ where\text{ k = scale factor} \\  \\ scale\text{ factor = 1/2} \\ M^{\prime}\text{ = \lparen}\frac{1}{2}(3),\text{ }\frac{1}{2}(-2)) \\ M^{\prime}\text{ = \lparen}\frac{3}{2},\text{ -1\rparen} \\  \\ F\text{ = \lparen}\frac{1}{2}(4),\text{ }\frac{1}{2}(-2)) \\ F^{\prime}\text{ = \lparen2, -1\rparen} \end{gathered}\begin{gathered} L\text{ = \lparen}\frac{1}{2}(1),\text{ }\frac{1}{2}(-5)) \\ L^{\prime}\text{ = \lparen}\frac{1}{2},\text{ }\frac{-5}{2}) \\  \\ W\text{ = \lparen}\frac{1}{2}(5),\text{ }\frac{1}{2}(-5)) \\ W^{\prime}\text{ = \lparen}\frac{5}{2},\text{ }\frac{-5}{2}) \end{gathered}

The new coordinates:

M' (3/2, -1), F' (2, -1), L' (1/2, -5/2), W' (5/2, -5/2)

M' (1.5, -1), F' (2, -1), L' (0.5 -2.5), W' (2.5, -2.5)

Plotting the coordinates:

3 0
1 year ago
Use the Distributive Property on 45x-6
Alexandra [31]

Answer:

<h3>180</h3>

Step-by-step explanation:

<h3>45 × -6 = 45 × [10+(-6)]</h3><h3>45 × (10-6)</h3><h3>45 × 4</h3><h3>180</h3>
5 0
3 years ago
Solve each prportion. (2/y-4)=(y+3/4)
vampirchik [111]

Answer:

y = 5, -4

Step-by-step explanation:

To solve proportions you cross-multiply.

\frac{2}{y-4} =\frac{y+3}{4} \rightarrow 2\times4 = (y-4)\times(y+3) \rightarrow 8=y^2-y-12

Now that we have 8 = y^2 - y - 12, we must make the entire trinomial equal to 0 by subtracting 8 from both sides.

y^2 - y - 20 = 0

Factor the trinomial.

(y - 5)(y + 4) = 0

Make both factors equal to 0 to solve for both values of y.

  • y - 5 = 0 --> y = 5
  • y + 4 = 0 --> y = -4

y = 5, -4

4 0
3 years ago
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raketka [301]

Answer:

The answer is C. So yeah.

3 0
3 years ago
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SashulF [63]

Answer:

If the price is increasing or decreasing

Step-by-step explanation:

The slope is a visual representation of the cost over time.

3 0
2 years ago
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