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serious [3.7K]
3 years ago
9

Which statement best describes the association between variable X and variable Y?

Mathematics
1 answer:
Maksim231197 [3]3 years ago
3 0

Answer:

Perfect positive association

Step-by-step explanation:

Definition: A perfect positive association means that a relationship appears to exist between two variables, and that relationship is positive 100% of the time. Two variables have a positive association when the values of one variable tend to increase as the values of the other variable increase. (+1 indicates a perfect positive linear relationship)

Definition: A perfect negative association means that a relationship appears to exist between two variables, and that relationship is negative 100% of the time. Two variables have negative association when the values of one variable tend to decrease as the values of the other variable increase. (-1 indicates a perfect negative linear relationship)

Values between 0.3 and 0.7 (-0.3 and -0.7) indicate a moderate positive (negative) linear relationship.

From the graph we can see that this relationship shows perfect positive association (both variables increase and we can plot the straight line which will include all points)

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What is the fourth term in the binomial expansion of (2x – y) 7?
nata0808 [166]

Answer:

(7C4) (2x)^4 (-y)^{7-4}

And replacing we got:

35 (2^4) x^4 (-y)^{-3}

And then the final term would be:

-560 x^4 y^3

Step-by-step explanation:

For this case we have the following expression:

(2x-y)^7

And we can use the binomial theorem given by:

(x+y)^n =\sum_{k=0}^n (nCk) x^k y^{n-k}

And for this case we want to find the fourth term and using the formula we have:

(7C4) (2x)^4 (-y)^{7-4}

And replacing we got:

35 (2^4) x^4 (-y)^{-3}

And then the final term would be:

-560 x^4 y^3

8 0
3 years ago
Angles H and F are corresponding angles<br> True or False?
lutik1710 [3]
True! they are corresponding angles.
5 0
2 years ago
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Use the Law of Cosines to find the missing angle. In triangle FGH, HF = 16 ft, FG = 23 ft, and m∠F = 52°. Find the measure of f.
ivolga24 [154]
F = 18 ft.

The law of cosines states 
c² = a² + b² - 2ab cos C

Using our information, we have 
c² = 23² + 16² - 2(23)(16)cos 52
c² = 529 + 256 - 736cos 52
c² = 785 - 736cos 52
c² = 331.8732

Taking the square root of both sides, we have
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5 0
3 years ago
Plz help me out :( I really can't fail this
sergey [27]

Answer:

99.37

Step-by-step explanation:

Brief Math lesson:

If you, for example, pay 10% of your income of $100 to charity and 5% of it goes to taxes,

The amount that goes to charity can be found by using:

10% * 100 = 0.1 * 100 = 10

And the amount for taxes is

5% * 100 = 0.05 * 100 = 5

So the total is 15 dollars. And then, subtract that from your salary, so you would earn 85 dollars

We can also just find it by finding how much of a total percentage is being taken and subtract that by 100. (because you would keep the rest of the money)

(100% - (10% + 5%)) * 100 = 85% * 100 = 85

Now, let's apply this information.

First, figure out how much you need to pay in taxes, social security, etc.

15% + 6.44% + 6.2% + 1.45% = 29.09% of your money is given away. So, you would keep 100% - 29.09%, which is 70.91% kept

10.01 dollars an hour at 14 hours is 10.01*14 = 140.14 dollars

Now, multiply the percent of salary you keep by your salary.

140.14 * 70.91% = 140.14 * 0.7091 = 99.373274

This is, rounded,

99.37

Hope this helps! Feel free to ask any questions!

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The answer is 11.31 in.
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