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3 years ago

5

What is the absolute deviation of the data set 4, 4, 6, 6, 7, 8, 8, 8, 9, 10

1 answer:

hjlf3 years ago

4 0

Answer:

Mean absolute deviation = 1.6.

Step-by-step explanation:

The mean = (4+4+ 6+ 6+ 7+ 8+ 8 + 8 +9+ 10) / 10

= 7.

List the differences from the mean:

4 - 7 = -3

-3

-1

-1

0

1

1

1

2

3

Sum of the absolute value of the difference

= 3 + 3 + 1 + 1 + 0 + 1 + 1 + 1 + 2 + 3

= 16.

So the Mean Absolute deviation = 16 / 10 = 1.6.

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Need help with a simple problem 2^x=3^x+1

KiRa [710]

For $x\ \textgreater \ 0$ , $2^x\ \textless \ 3^x$ , all the more $2^x\ \textless \ 3^x+1$ , therefore no solution.

For $x=0$ , we have $2^0=3^0+1 \Rightarrow 1=1+1 \Rightarrow 1=2$ . Obviously that' false.

For $x\ \textless \ 0$ both $2^x$ and $3^x$ , where $2^x\ \textgreater \ 3^x$ , belong to the range $(0,1)$ , then $3^x+1$ belong to the range $(1,2)$ .
Those ranges don't have a common part, therefore, again, no solution.

So, the equation $2^x=3^x+1$ doesn't have a solution.

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3 years ago

2x - 11 = -8x + 14<br> Simplify

Sauron [17]

Answer:

x = 2.5

Step-by-step explanation:

2x - 11 = -8x + 14

Add 8x to both sides

10x - 11 = 14

Add 11 to both sides

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3 years ago

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PIT_PIT [208]

1. A rent paid
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3 years ago

Please solve asap pls x

mr Goodwill [35]

Answer:

$x=\frac{26}{5}$

Step-by-step explanation:

$\frac{10x+4}{7}=8$

<u>Multiply both sides by 7:</u>

$\longmapsto$ $\frac{7\left(10x+4\right)}{7}=8\times \:7$

$\longmapsto$ $10x+4=56$

<u>Subtract 4 from both sides:</u>

$\longmapsto$ $10x+4-4=56-4$

$\longmapsto$ $10x=52$

<u>Divide both sides by 10:</u>

$\longmapsto$ $\frac{10x}{10}=\frac{52}{10}$

$\longmapsto$ $x=\frac{26}{5}$

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Alchen [17]

7d+12-14d-3
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3 years ago