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alekssr [168]
3 years ago
7

Factor completely 20x^2 y - 4xy Someone put steps for me when solving, thank you

Mathematics
2 answers:
zavuch27 [327]3 years ago
8 0

20x^2y - 4xy

First, we look at what terms are common between each term.

There is a 4 present in the last term, and 4 is a factor of 20, so that is one factor.

Each term also includes at least one x, and one y, so x and y are also factors.

We can factor a 4, an x, and a y out of this.

<h3><u>4xy(5x - 1) is the fully factored form of this binomial. </u></h3>
krok68 [10]3 years ago
3 0
20x^2 y - 4xy
y(20x^2 - 4x)
4y(5x^2 - x)
4xy(5x - 1)
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A. Create a set of 5 points that are very close together and record the standard deviation. Next, add a sixth point that is far
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Answer: The addition of the new point alters the previous standard deviation greatly

Step-by-step explanation:

Let the initial five points be : 2 3 4 5 and 6. In order to calculate the standard deviation for this data, we will need to calculate the mean first.

Mean = summation of scores/number of scores.

The mean is therefore: (2+3+4+5+6)/5 = 20/5 = 4.

We'll also need the sum of the squares of the deviations of the mean from all the scores.

Since mean = 4, deviation of the mean from the score "2" = score(2) - mean (4)

For score 3, it is -1

For 4, it's 0

For 5 it's 1

For 6 it's 2.

The squares for -2, -1, 0, 1, and 2 respectively will be 4, 1 , 0, 1, 4. Summing them up we have 10 i.e (4+1+0+1+4=10).

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The standard deviation = √(10/5) = 1.4142

If we add another score or point that is far away from the original points, say 40, what happens to the standard deviation. Let's calculate to find out.

i.e we now have scores: 2, 3, 4, 5, 6 and 40

We calculate by undergoing same steps.

Firstly mean. The new mean = (2+3+4+5+6+40)/6 = 60/6 = 10.

The mean deviations for the scores : 2, 3, 4, 5, 6 and 40 are -8, -7, -6, -5, -4 and 30 respectively. The squares of these deviations are also 64, 49, 36, 25, 16 and 900 respectively as well. Their sum will then be 1090. i.e. (64+49+36+25+16+900 = 1090).

The new standard deviation is then=

√(1090/6)

= √181.67

= 13.478.

It's clear that the addition of a point that's far away from the original points greatly alters the size of the standard deviation as seen /witnessed in this particular instance where the standard deviation rises from 1.412 to 13.478

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