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grin007 [14]
3 years ago
7

Simplify the expression. Explain each step: 1. 3.5 + (x + 2.7) 2. (8 x k) x 4

Mathematics
1 answer:
barxatty [35]3 years ago
8 0
In a way, you are adding like terms.
3.5 + 2.7 = 6.2, therefore making the answer 6.2 + x

The brackets can be ignored so you are really just asked 8 x 4 x k. 8 x 4 =32 so you end up with 32k
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0.36$

Step-by-step explanation:

1.03/ 3 marbles = 0.36$ per marble.

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5. Rounded to three decimal places, what is the value of r for this data set?
IrinaVladis [17]

The value of correlation coefficient (r) for the dataset is 0.981

<h3>What is correlation coefficient (r)?</h3>

The correlation coefficient (r) is used to determine the closeness and association of a scatter plot points.

The dataset is given as:

  • x: 8  15  3  7  2  14
  • y: 15  21  6  12  3  20

Using a graphing calculator, we have the following parameters:

<h3>X Values </h3>
  • ∑x = 49
  • Mean = 8.167
  • ∑(X - Mx)2 = SSx = 146.833

<h3>Y Values </h3>
  • ∑y = 77
  • Mean = 12.833
  • ∑(Y - My)2 = SSy = 266.833

<h3>X and Y Combined </h3>
  • N = 6
  • ∑(X - Mx)(Y - My) = 194.167

The correlation coefficient (r) is then calculated as:

r = \frac{\sum{((x - My)(Y - Mx)) }}{ \sqrt{((SSx)(SSy))}}

This gives

r = \frac{194.167 }{ \sqrt{((146.833)(266.833))}}\\

r = 0.9809

Approximate

r = 0.981

Hence, the value of correlation coefficient (r) for the dataset is 0.981

Read more about correlation coefficient at:

brainly.com/question/4219149

3 0
2 years ago
Alex bought 10 shares of Apex Co. for $95 each and later sold all of them at $105 each. This transaction resulted in what type o
Sauron [17]
If there are choices, please list them.

If not, it is certainly a capital gain if you live in the United States.

And capital gains are taxed. Again if you are in the US and you are not a trader, you will be taxed at a different higher rate if you sold it in less than a 1 year period.

Over a year and it is called a long term gain and the tax rate is lower. There's more about how to write off short term losses and gains, but that's getting into complexity you probably don't need to know about. 

Answer: Capital Gain <<<<<<
4 0
3 years ago
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If the principle is $12,000 and the rate of interest is 6% (simple interest), what
Elza [17]

9514 1404 393

Answer:

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Step-by-step explanation:

The amount is given by the formula ...

  A = P(1 +rt)

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  A = $12,000(1 +0.06·1) = $12,720

The total amount after 1 year is $12,720.

7 0
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