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Anna [14]
3 years ago
10

Write the expression 5x(x + 9) - 7(x + 9) in complete factored form.

Mathematics
1 answer:
kozerog [31]3 years ago
3 0

Answer:

B. (5x - 7)(x+9)

Step-by-step explanation:

5x(x + 9) - 7(x + 9

Factor out the quantity (x+9)

(x+9) (5x-7)

Rearrange the order

(5x - 7)(x+9)

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Write 4/9, 5/9, and 6/9 as decimals. What pattern do you see? Use the pattern to predict the decimal form of 7/9 and 8/9
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3 years ago
In the data set below, what is the mean absolute deviation? 3 8 6 9 2 5
zepelin [54]
<h3>Answer:  Approximately 2.1667</h3>

==========================================================

Explanation:

First we need to find the arithmetic mean.

Add up the values to get 3+8+6+9+2+5 = 33

Divide this over 6 because there are 6 values: 33/6 = 5.5

The mean is 5.5

------

Subtract the mean from each data value. Apply absolute value to ensure the result is not negative.

  • |3 - 5.5| = |-2.5| = 2.5
  • |8 - 5.5| = |2.5| = 2.5
  • |6 - 5.5| = |0.5| = 0.5
  • |9 - 5.5| = |3.5| = 3.5
  • |2 - 5.5| = |-3.5| = 3.5
  • |5 - 5.5| = |-0.5| = 0.5

Each result represents how far that specific data value is from the mean. Absolute value is used to find distance on a number line.

Add up each of those results to get: 2.5+2.5+0.5+3.5+3.5+0.5 = 13

Then divide by 6 to find the average: 13/6 = 2.1667 which is approximate

The mean absolute deviation represents the average distance any given value is from the mean. The term "deviation" refers to how far each data value is from the mean, which is the center point we're after more or less.

The MAD (mean absolute deviation) effectively measures how spread out the data set is. The larger the MAD, the more spread out the data is likely to be. The range, standard deviation and variance are also measures of spread.

6 0
3 years ago
A scientist used 786 milliliters of an liquid for an experiment. How many liquids of liter did the scientist to use for this exp
Kipish [7]

Answer:

0.786 L

Step-by-step explanation:

1000 ml to 1 L

(786 ml) / (1000 ml) = 0.786 L

6 0
3 years ago
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