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3 years ago

Solve this equation.

Mathematics

1 answer:

spin [16.1K]3 years ago

7 0

Answer:

D: 6 5/6

Step-by-step explanation:

Solve for a:

a + 7/6 = 8

Put each term in a + 7/6 over the common denominator 6: a + 7/6 = (6 a)/6 + 7/6:

(6 a)/6 + 7/6 = 8

(6 a)/6 + 7/6 = (6 a + 7)/6:

(6 a + 7)/6 = 8

Multiply both sides of (6 a + 7)/6 = 8 by 6:

(6 (6 a + 7))/6 = 6×8

(6 (6 a + 7))/6 = 6/6×(6 a + 7) = 6 a + 7:

6 a + 7 = 6×8

6×8 = 48:

6 a + 7 = 48

Subtract 7 from both sides:

6 a + (7 - 7) = 48 - 7

7 - 7 = 0:

6 a = 48 - 7

48 - 7 = 41:

6 a = 41

Divide both sides of 6 a = 41 by 6:

(6 a)/6 = 41/6

6/6 = 1:

Answer: a = 41/6 or a= 6 5/6

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2 years ago

Find and interpret the mean absolute deviation of the data. Round your answers to the nearest tenth. If necessary 101.5 98.7 95.

lesya692 [45]

Answer:

$\bar X = 100.4$

And we can calculate the deviations from each value like this:

$|101.5-100.4 |=1.1$

$|98.7-100.4 |=1.7$

$|95.4-100.4 |=5.0$

$|92.3-100.4 |=8.1$

$|109.8-100.4 |=9.4$

$|104.7-100.4|=4.3$

And the mean absolute deviation would be:

$MAD =\frac{1.1+1.7+5.0+8.1+9.4+4.3}{6}= 4.93$

Step-by-step explanation:

For this case we have the following dataset given:

101.5 98.7 95.4 92.3 109.8 104.7

We can calculate the mean with the following formula:

$\bar X =\frac{\sum_{i=1}^n X_i}{n}$

And replacing we got:

$\bar X = 100.4$

And we can calculate the deviations from each value like this:

$|101.5-100.4 |=1.1$

$|98.7-100.4 |=1.7$

$|95.4-100.4 |=5.0$

$|92.3-100.4 |=8.1$

$|109.8-100.4 |=9.4$

$|104.7-100.4|=4.3$

And the mean absolute deviation would be:

$MAD =\frac{1.1+1.7+5.0+8.1+9.4+4.3}{6}= 4.93$

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