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ValentinkaMS [17]
3 years ago
6

What is the lower quartile for 55,55,50,52,46,38,48,51,55,56

Mathematics
1 answer:
Feliz [49]3 years ago
4 0

Answer:

Step-by-step explanation:

The first or lower quartile is the median of the lower half of the data: 48

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Identify the radius and center.<br><br> x^2 + y^2 - 2x + 4y - 11 = 0
miss Akunina [59]
<h2>Hello!</h2>

The answer is:

Center: (1,-2)

Radius: 4 units.

<h2>Why?</h2>

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.

So, we need to complete the square for both variable "x" and "y".

The given equation is:

x^2+y^2-2x+4y-11=0

So, solving we have:

x^2+y^2-2x+4y=11

(x^2-2x+(\frac{2}{2})^{2} )+(y^2+4y+(\frac{4}{2})^{2})=11+(\frac{2}{2})^{2} +(\frac{4}{2})^{2}\\\\(x^2-2x+1)+(y^2+4y+4)=11+1+4\\\\(x^2-1)+(y^2+2)=16

(x^2-1)+(y^2-(-2))=16

Now, we have that:

h=1\\k=-2\\r=\sqrt{16}=4

So,

Center: (1,-2)

Radius: 4 units.

Have a nice day!

Note: I have attached a picture for better understanding.

5 0
4 years ago
An amphitheater charged $75 per each seat in Section A, $55 for each seat in Section B, and $30 for each lawn seat. The number o
Fynjy0 [20]

45 i hope this awnser helps

6 0
3 years ago
An integer is 8 more than 5 times another. If the product of the two integers is 36, then find the integers
Harman [31]

Answer:

see below

Step-by-step explanation:

1st:  x

2nd:  5x + 8

x(5x + 8) = 36

5x² + 8x = 36

5x² + 8x - 36 = 0

(x - 2)(5x + 18) = 0

(x - 2) = 0

x - 2 = 0

x = 2

1st:  x = 2

2nd:  5x + 8 = 5(2) + 8 = 18

(5x + 18) = 0

5x + 18 = 0

5x = -18

x = -3.6

1st:  x = -3.6

2nd:  5x + 8 = 5(-3.6) + 8 = -18 + 8 = -10

7 0
3 years ago
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