what is the variance of 6.026​

Answer:

16 * (cube root of 0.5)

Step-by-step explanation:

Radius of the big cone = 12 cm / 2 = 6 cm

Let r = radius of the small cone (cone of water), and h = the height of the small cone

Also, r / h = 6 / 16, so that h = (16/6)r = (8/3)r.

Thus, since the volume of the big cone = (1/3)π(r^2*h)=(1/3)π(6^2*16), and the volume of the small cone = (1/3)π(r^2*h)=(1/3)π(r^2*(8/3)r) = (1/3)π(r^3*(8/3)), and the volume of the small cone is half the volume of the big cone, we have that

(1/3)π(r^3*(8/3))=(1/2)((1/3)π(6^2*16))

(r^3*(8/3))=(1/2)((6^2*16))

r^3 = (3/8)(1/2)(6^2)(16)

r^3 = (1/2)(6^3)

r = (cube root of 1/2)(6),

and

h = (8/3)r = (8/3)(cube root of 1/2)(6) = 16(cube root of 1/2), the depth of the water.

Answer:

y = -5x - 8

Step-by-step explanation:

Parallel lines have the same gradient

Using the point (-3,7) we will form our own equation.

-3 will be x, 7 will be y, -5 will be m, all we have to do is find the C in the form y=mx+c

7 = -5(-3) + c

7 = 15 + c

C = -8

Therefore;

y = -5x - 8

Answer:

Step-by-step explanation:

circumference=75 ft.

2πr=75

r=75/2π=75/(2×3.14)≈11.937

radius=11.94 ft

Diameter=2r=2×11≈23.87 ft

Answer:

x = 16

Step-by-step explanation:

7x + 9 = 9x - 23

9 + 23 = 9x - 7x

32 = 7x

32 / 7 = x

16 = x

9514 1404 393

Answer:

  12 11/24 radians (combined angular motion)

Step-by-step explanation:

In one hour, the combined angular motion is ...

  (2π)(1 +1/12) = 13π/6 radians

Then in the 5 3/4 hours between 1 pm and 6:45 pm, the angular motion of the two hands will total ...

  (23/4)(13π/6) radians = 299π/24 radians = 12 11/24 radians

_____

Additional comment

Maybe you're asking for the separate motions.

  minute hand: 2π×5.75 = 11.5π radians

  hour hand: (π/6)×5.75 = 23π/24 radians

Answer:

x = 2

y = 1

Step-by-step explanation:

1) Re-arrange

(Solving for y)

-2x -3y = -7    -->  x3

6x - y = 11    -->  x1

-6x -9y = -21

6x -y = 11

-9y = -21

-y = 11

(-9y + -y) = (-21 + 11)

-10y = -10    

y = -10/-10

y = 1

2) Substitute

6x - 1 = 11

6x = 11 + 1

6x = 12

x = 12/6

x = 2

Answer: x = 2, y = 1

Step-by-step explanation:

Rearrange the second equation so it just works a little easier for you:

-2x - 3y = -7

rearranged to make y (with its constant) the subject:

3y = 7 - 2x

So we know what y equals. The question tells us y = 6x - 11. So substitute those values into the rearranged equation.

3y = 7 - 2x   becomes:

3(6x - 11) = 7 - 2x

because as stated in the question, y = 3x - 11.

Expand the brackets on the left-hand side:

18x - 33 = 7 - 2x

Rearrange to collect like terms:

18x = 7 + 33 - 2x

18x = 40 - 2x

18x + 2x = 40

20x = 40

x = 40/20

x = 2.

So now we know the value of x.

Let's input our new found value of x into one of the given equations, such as y = 6x - 11.

y = (6 * 2) - 11

y = 12 - 11

y = 1.

So y = 1.

You can test this by inputting these values into the other equation, for assurance.

-2x - 3y = -7 becomes:

(-2 * 2) - (3 * 1) = -7

(-4) - 3 = -7

-7 = -7

0 hours

1/2 hours

1/2 hours

Answer:

Step-by-step explanation:

2(-3/5) = -6/5. (2)*(-3) = - 6/5

- 6/5 - 1/3 = 23/15. (Common denominator = 15)

6/15 - 5/15 = - 23/15

(- 23/15) / ( -6.75 / 15) = 92/27 = 3 11/27

Answer:

as line L is parallel to m

angle pqt = 89° ( vertically opposite angle)

angle tpq = 3x° ( vertically opposite angles).

in triangle pqt

angle p + angle q + angle t = 180° (angle sum proper of a triangle)

Let the unknown angle ptq be X

3x + 89 + X = 180°

3x + x + 89 = 180

4x + 89 = 180

4x = 180 - 89

4x = 91

x = 27°

angle u = 89° ( corresponding angles)

angle ptu = 89 + 27

= 116°

Answer:

660.4 mm

Step-by-step explanation:

Since 1 inch is equal to 25.4 millimeters, we can multiply 25.4 by 26 to see how many millimeters 26 inches is. You can also think of this as a proportion:

26:x = 1:25.4

26.4 times 26 is equivalent to 660.4, so we can conclude that 26 inches are equivalent to 660.4 millimeters.

If you have any further questions or need clarification on anything, let me know!

Answer:

Step-by-step explanation:

Yes it’s balance

Answer:

25.69

Step-by-step explanation:

I think

Answer:

$4.31

Step-by-step explanation:

$30 - $25.69 = $4.31

Answer:

the answer is A

Step-by-step explanation:

I took the test

Answer:

5/x3

Step-by-step explanation:

just calculated it

Answer:

The decimal form of this fraction is 3.7 repeating.

Answer:

3.777...

Step-by-step explanation:

Answer:

-2

Step-by-step explanation:

To find the slope pick ANY 2 points on the line and see what you had to do to get from one point to another point.

Keep in mind that slope = rise/run , or m = difference in y /difference in x

For example, Start at (0,0) and Go to (6,-3)

To get from one point to the other you have to go up 6 and left 3 so slope is

m=6/-3 = -2

Step-by-step explanation:

the equation is

y = ax + b

a is the slope of the line. this is the ratio y/x indicating how many units y changes, when x changes a certain number of units.

so, when we go from A to B, x changes 2 units (from 3 to 5), and y changes -4 units (from 5 to 1).

so the slope is -4/2 = -2

now or equation looks like

y = -2x + b

to get b we use one of the points in the equation. e.g. B

1 = -2×5 + b = -10 + b

b = 11

so, our full equation is

y = -2x + 11

Answer:

Step-by-step explanation:

1) 4m + 2n = 4*7 + 2*(-2)

                 = 28 - 4

                 = 24

2) P = abc

       = 2*3*4

      =  24

3) Multiply n by 9 : 9*n = 9n

Then add 5

9n + 5

4)double of n = 2*n = 2n

Answer:

f×g=

[tex] = 2x \times (5x + 2) \\ = 10 {x}^{2} + 4x \\ = 10 \times {3}^{2} + 4 \times 3 \\ = 90 + 12 \\ = 102[/tex]

Answer:

same number

Step-by-step explanation:

The product of 1 any number is the same number.

Answer:

1) true

2)true

3)false

4)true

5)true

6) false

7))true

8)true

9)false

10)false.

11)false

12)true

Answer:

1-True

2-True

3-False

4-True

5-True

6-False

7-True

8-True

9-False

10-False

11-False

12-True

Answer:

[tex]5 \sqrt{2} [/tex]