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2 years ago

Find the mean absolute deviation of the set of data. Round your answer to two

Mathematics

1 answer:

mario62 [17]2 years ago

4 0

Answer:

4.5 is the mean/average

Step-by-step explanation:

3+1+5+4+8+6=27

27 divided by 6 = 4.5

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Which equation represents the circle described? (in picture)

Sedaia [141]

You are right. In circle equation we have =r² so the correct answer will be C od D. But we have to calculate the center of a circle.

$x^2+y^2-8x-6y+24=0\quad|-24\\\\(x^2-8x)+(y^2-6y)=-24$

Complete the square:

$x^2-8x+a^2\implies a=\dfrac{8x}{2x}=4\implies x^2-8x+4^2\\\\\\y^2-6y+b^2\implies b=\dfrac{6y}{2y}=3\implies y^2-6y+3^2$

And we have:

$(x^2-8x)+(y^2-6y)=-24\\\\(x^2-8x+4^2)-4^2+(y^2-6y+3^2)-3^2=-24\\\\
(x-4)^2+(y-3)^2-16-9=-24\\\\(x-4)^2+(y-3)^2-25=-24\quad|+25\\\\\boxed{(x-4)^2+(y-3)^2=1}$

So the answer is C (the same left side of equation).

6 0

3 years ago

Factorize the following algebraic expression:

Hoochie [10]

X^2+16-38=0
find what 2 numbers multiply to get -38 and add to get 16
find factors of 38
2 times 19
there is no way to use common factor so use quadratic formula which is
x= $\frac{ -b+\sqrt{b^2-4ac} }{2a}$ or x= $\frac{ -b-\sqrt{b^2-4ac} }{2a}$

ax^2+bx+c=0 subsitte
a=1
b=16
c=-38
subsitute
$\frac{ -16+\sqrt{16^2-4(1)(-38)} }{2(1)}$ = $\frac{ -16+\sqrt{256+152} }{2}$ = $\frac{ -16+\sqrt{408} }{2}$ = $\frac{ -16+2\sqrt{102} }{2}$ = $-8+\sqrt{102}$
so the answers for x are $-8+\sqrt{102}$ and $-8-\sqrt{102}$ which are aprox -2.099504938362 and +18.099504938362
so it would be
(x-[-8+√102])(x+[8+√102])=0

6 0

2 years ago

A rocket is launched from a tower. The height of the rocket, y in feet, is related to the time after launch, x in seconds, by th

Anni [7]

Answer: The rocket will reach its max after 4 seconds

Step-by-step explanation:

Hi, to find the maximum height, we have to set the first derivative of the equation equal to zero.

y=-16x^2+128x+136

0 = (2)-16x +128

0= -32x+128

Solving for x:

32x = 128

x = 128/32

x = 4 seconds

The rocket will reach its max after 4 seconds

Feel free to ask for more if needed or if you did not understand something.

7 0

2 years ago

Below are the graphs of y=|x| and y=|x|-5. How are the functions related? The functions have the shape. The y-intercept of y=|x|

4vir4ik [10]

Answer:

same, 0, -5

Step-by-step explanation:

6 0

2 years ago

PLEASE HELP!! WILL GIVE BRAINLIEST!!

Anestetic [448]

Area of part 1:A1=base*height/2=(8+2)*(8-2-2-1)/2=10*3/2=15 ft^2Area of part 2:A2=length*width=(8+2)*1=10 ft2Area of part 3:A3=length*width=8*2=16 ft2
Total shaded area : A1+A2+A3=41 ft2Total area of the reactangle : A=16*8=128 ft2Total area of the nonshaded region : 128-41=87 ft2

8 0

3 years ago