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3 years ago

If the correlation between variable a and variable b is .20, then variable a explains _____ of the variance in variable

Mathematics

1 answer:

timofeeve [1]3 years ago

4 0

The answer would be b. I think.

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Click an item in the list or group of pictures at the bottom of the problem and, holding the button down, drag it into the corre

Novay_Z [31]

Answer: $3+\sqrt{2}$

Step-by-step explanation:

Given the following expression shown in the picture:

$\frac{7}{3-\sqrt{2} }$

You need to use a process called "Ratinalization".

By definition, using Rationalization you can rewrite the expression in its simplest form so there is not Radicals in its denominator.

Then, in order to simplify the expression, you can follow the following steps:

Step 1. You need to multiply the numerator and the denominator of the fraction by $3+\sqrt{2}$ , which is the conjugate of the denominator $3-\sqrt{2}$ .

Step 2. Then you must apply the Distributive property in the numerator.

Step 3. You must apply the following property in the denominator: $(a+b)(a-b) = a^2 - b^2$

Therefore, applying the procedure shown above, you get:

$=\frac{(7)(3+\sqrt{2})}{(3-\sqrt{2})(3+\sqrt{2})}=\frac{21+7\sqrt{2}}{3^2-(\sqrt{2})^2}=\frac{21+7\sqrt{2}}{9-2}=\frac{21+7\sqrt{2}}{7}$

Step 4. You can observe that the expression can be simplified even more. Since:

$\frac{a+b}{c}=\frac{a}{c}+\frac{b}{c}$

You get:

$\frac{21+7\sqrt{2}}{7}=\frac{21}{7}+\frac{7\sqrt{2}}{7}=3+\sqrt{2}$

3 0

2 years ago

A store owner uses a selling price of 125%of the cost of an item. If a pair of jeans has a sales price of 33.50, what cost does

Alina [70]

Answer:

It would be $62.62 because basically you want to do 52.50 times 1.25

3 0

2 years ago

<img src="https://tex.z-dn.net/?f=%28-60%29-3x%5E3-33x%2B24%20x%5E%7B2%7D%20" id="TexFormula1" title="(-60)-3x^3-33x+24 x^{2} "

soldi70 [24.7K]

First you want to reduce the brackets
Next you want to factor out the common number 3
Next you want to factor 20 + x^3 + 11x - 8x^2 by using the polynomial division method/technique
Lastly you just factor x^2 - 9x + 20 to get the answer.

Yes you are correct, the solutions are 1, 4, and 5.

6 0

3 years ago

2.4 liters of water is poured into a pitcher that now contains 10.1 liters of water. Which equation represents this?

Alenkinab [10]

I couldn’t figure out d answer to This hope this helped

8 0

2 years ago

Hiiiooo!! Can someone please help me with this ❤️:D

AnnyKZ [126]

Answer:

Step-by-step explanation:

5 0

3 years ago