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scZoUnD [109]
3 years ago
11

Find the MAD {42, 50, 54, 38, 48). Round to nearest hundredth (two

Mathematics
1 answer:
makkiz [27]3 years ago
5 0

Answer:

MAD is 5.12

Step-by-step explanation:

The following data were obtained from the question:

42, 50, 54, 38, 48

Next, we shall determine the mean of the data. This can be obtained as follow:

Mean = summation X / n

n is the number of the data.

Summation X = 42 + 50 + 54 + 38 + 48

Summation X = 232

n = 5

Mean = summation X / n

Mean = 232 / 5

Mean = 46.4

Therefore, the mean of the data is 46.4

Finally, we shall determine the mean absolute deviation (MAD) of the data as follow:

MAD = summation |mean – X| /n

MAD = (|(46.4 – 42) + (46.4 – 50) + (46.4 – 54) + (46.4 – 38) + (46.4 – 48|) /5

MAD = |4.4 + 3.6 + 7.6 + 8.4 + 1.6| /5

MAD = 25.6/5

MAD = 5.12

Therefore, the mean absolute deviation (MAD) is 5.12

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5(x+4)= -2(-4-x)+3 <br> what is the answer?
lianna [129]

Answer:

x = -3

General Formulas and Concepts:

<u>Pre-Algebra</u>

  • Order of Operations: BPEMDAS
  • Equality Properties

Step-by-step explanation:

<u>Step 1: Define equation</u>

5(x + 4) = -2(-4 - x) + 3

<u>Step 2: Solve for </u><em><u>x</u></em>

  1. Distribute:                                   5x + 20 = 8 + 2x + 3
  2. Combine like terms:                   5x + 20 = 2x + 11
  3. Subtract 2x on both sides:        3x + 20 = 11
  4. Subtract 20 on both sides:        3x = -9
  5. Divide 3 on both sides:              x = -3

<u>Step 3: Check</u>

<em>Plug in x to verify it's a solution.</em>

  1. Substitute:                    5(-3 + 4) = -2(-4 - -3) + 3
  2. Simplify:                        5(-3 + 4) = -2(-4 + 3) + 3
  3. Add:                              5(1) = -2(-1) + 3
  4. Multiply:                        5 = 2 + 3
  5. Add:                              5 = 5

Here we see that 5 does indeed equal 5. ∴ x = -3 is a solution of the equation.

And we have our final answer!

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3 years ago
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