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3 years ago

1.

Mathematics

2 answers:

photoshop1234 [79]3 years ago

3 0

Answer:

0.923

Step-by-step explanation:

There are 13 total marbles. (12 Purple Marbles + One Blue Marble)

The total events are 13 and the number of preferred events is 12.

$\frac{12}{13}= 0.92307692307$ ≈ 0.923

So there should be a 0.923 chance that a purple marble is picked.

Korolek [52]3 years ago

3 0

Answer:0.923

Step-by-step explanation:

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galina1969 [7]

<h2>Hello!</h2>

The answer is:

Center: (-4,-4)

Radius: 2 units.

To solve the problem, using the given formula of a circle, we need to find its standard equation form which is equal to:

$(x-h)^{2}+(y-k)^{2}=r^{2}$

Where:

"h" and "k" are the coordinates of the center of the circle and "r" is its radius.

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The given equation is:

$x^{2}+y^{2}+8x+8y+28=0$

So, solving we have:

$x^{2}+y^{2}+8x+8y=-28$

$(x^2+8x+(\frac{8}{2})^{2})+(y^2+8y+(\frac{8}{2})^{2})=-28+((\frac{8}{2})^{2})++(\frac{8}{2})^{2})\\\\(x^2+8x+16 )+(y^2+8y+16)=-28+16+16\\\\(x^2+4)+(y^2+4)=4$

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Now, we have that:

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So,

Center: (-4,-4)

Radius: 2 units.

Have a nice day!

Note: I have attached a picture for better understanding.

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