Find the solution set for the following problem. 5 diminished by 3 times a number is at most 11.

Mathematics

1 answer:

sergiy2304 [10]3 years ago

5 0

Answer:

B) {x | x ≥ -2}

Step-by-step explanation:

We have to find a number that when subtracted 3 times from number 5 will get a result that is ≤ 11. We can make the following inequality out of what we know:

5 - 3x ≤ 11

We just have to isolate x:

5 - 3x ≤ 11

5 - 11 ≤ 3x

-6 ≤ 3x

-2 ≤ x

x ≥ -2

And you can verify it... by testing with

-1 ⇒ 5 - (-3) ≤ 11, 8 ≤ 11 YES

and -3 ⇒ 5 - (-9) ≤ 11, 14 ≤ 11 NO

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What is the mean absolute deviation?

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Answer:

0.8 cm

Step-by-step explanation:

The formula for MAD is attached in the picture.

x_i are the values (data)

x bar is the mean

n is the number of numbers (data)

For figuring out MAD, basically, <em>we subtract the mean from each of the values respectively and take the absolute value and SUM for all of the numbers in the data set. Then we divide by n, the number of numbers.</em>

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Let's do this:

MAD = $\frac{|2-3|+|2-3|+|2-3|+|2-3|+|3-3|+|3-3|+|3-3|+|4-3|+|4-3|+|5-3|}{10}\\=\frac{1+1+1+1+0+0+0+1+1+2}{10}\\=\frac{8}{10}=0.8$