I believe you meant: Use completing the square to determine the center and radius of the circle represented by this equation: <span>X^2+y^2-10x+6y=15
x^2 - 10x + 25 - 25 + y^2 + 6y + 9 - 9 = 15
Then:
(x-5)^2 + (y+3)^2 = 24 = 2sqrt(6)
This circle is centered at (5,-3) and has radius 2sqrt(6).</span>
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The best and most correct answer among the choices provided by the question is </span><span>A. Between 0.05 and 0.01 </span> .
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Hope my answer would be a great help for you. </span>
<span><span>1.
</span>Lucas Lives 5/8 miles from their schools
=> 5/8 miles is equals to:
=> 5 / 8 = 0.625 miles.
Now, the problem says that Kenny lives twice as far as Lucas from their school.
Therefore, we only need to multiply the total number of miles of Lucas distance
from house to school to be able to get what is the distance of Kenny’s house to
school
=> 0.625 * 2 = 1.25 miles or 1 and ¼ miles.</span>
The correct order is:
the probability of heads on 2nd and 4th toss only;
the probability of at least 3 tails in a row;
the probability of 3 or more heads;
the probability of consecutive tails; and
the probability of at least 2 tails.
There are 16 outcomes in the sample space.
There are 8 ways of having consecutive tails; this gives the probability 8/16.
There is 1 way of having heads on the 2nd and 4th toss only, making the probability 1/16.
There are 3 ways to have at least 3 tails in a row, making the probability 3/16.
There are 11 ways to have at least 2 tails, making the probability 11/16.
There are 5 ways to have at least 3 heads, making the probability 5/16.
Converting the mixed number to a decimal, the correct comparison of the numbers is given as follows:
<h3>What is a mixed number?</h3>
A mixed number is represented by an integer part and a fractional part, as follows:
a b/c.
In which:
- b/c is the fractional part.
In this problem, the numbers are given as follows:
The mixed number is:
100 and 2/8 = 100 + 0.25 = 100.25.
The square root is an increasing function, hence the higher the input, the higher the square root, as 180 > 100 the comparison is:
More can be learned about mixed numbers at brainly.com/question/1746829
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