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2 answers:
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Answer:
90 and 30 liters
Step-by-step explanation:
1) if solution of 20% is 'x' and of 60% is 'y' liters, then
2) the pure chlorine is: for solution of 20% - 0.2x, for solution of 60% - 0.6y and
3) the mix of the two solutions is 120=x+y.
4) using these items it is possible to make up the system of two equations:
5) finally, x=90 liters of 20%; y=30 liters of 60% solution.
Answer:
Interquartile range => 7
Third quartile => 22
Range => 13
First quartile => 15
Step-by-step explanation:
Order your data set, from the least amount to the highest amount:
$12, $14, $15, $15, $15, $15, $16, $22, $24, $25
Interquartile range (IQR) = third quartile (Q3) - first quartile (Q1)
Q1 = the middle value of the lower part of the data set, from the median to your left.
Q3 = the middle value of the upper part of the data set, from the median to your right.
The median lies between the 5th and 6th value that is enclosed in the parenthesis below:
$12, $14, ($15), $15, $15,[Median], $15, $16, ($22), $24, $25
The median divides the data set into upper and lower part.
Median =
First quartile: Q1 = $15
Third quartile: Q3 = $22
IQR = $22 - $15 = $7
Range = highest amount - least amount = 25 - 12 = $13
Answer:
Step-by-step explanation:
Consider a sketch of the problem as shown in the picture, where:
- Blue line is given by y = 4x + 1.
- Point B is the center of the circle.
- Point A is (-3, 0).
Since the center of the circle lies on the line y = 4x +1 and is tangent to the x-axis at point A, then its radius BA is perpendicular to the x-axis. To find the coordinates of point B, we must replace x = -3 into the blue line equation: y = 4x(-3) + 1 = -11.
So, we know that the center of the circle is at B=(-3, -11). And furthermore, the radius BA is of length r=11.
Since the <em>general equation of the circle</em> of radius lenght r centered at (h, k) is given by
then with h = -3, k = -11 and r= 11, the equation of our circle is
