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Veseljchak [2.6K]
2 years ago
14

The side length, s, of a cube is x – 2y. if v = s3, what is the volume of the cube? x3 – 6x2y 12xy2 – 8y3 x3 6x2y 12xy2 8y3 3x3

– 6x2y 12xy2 – 24y3 3x3 6x2y 12xy2 24y3
Mathematics
1 answer:
astraxan [27]2 years ago
8 0

The volume of the cube of side length x - 2y is v = x^3 - 6x^2y + 12xy^2 - 8y^3

<h3>How to determine the volume?</h3>

The length of the cube is given as:

s = x - 2y

The volume is given as:

v = s^3

So, we have:

v = (x -2y)^3

Evaluate the product

v = x^3 - 6x^2y + 12xy^2 - 8y^3

Hence, the volume of the cube of side length x - 2y is v = x^3 - 6x^2y + 12xy^2 - 8y^3

Read more about volume at:

brainly.com/question/1972490

#SPJ4

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4. Is rap music more popular among young Indians than among young Asians? A sample survey compared 634 randomly chosen Indians a
bulgar [2K]

Answer:

H0 is accepted

there is no difference between the proportions of Indian and Asian young people who listen to rap music every day.

Step-by-step explanation:

Given  a sample survey compared 634 randomly chosen Indians aged 15 to 25 with 567 randomly selected Asians in the same age group.

p_{1} = \frac{368}{634} =0.580

It found that 368 of the Indians and 130 Asians listened to rap music every day.

p_{2} = \frac{130}{567} =0.229

Null hypothesis H0: there is no difference between the proportions of Indian and Asian young people who listen to rap every day.

p_{1} = p_{2}

Alternative hypothesis:- p_{1} \neq  p_{2}

Level of significance α = 0.05

The test of statistic

z = \frac{p_{1} -  p_{2}}{\sqrt{pq(\frac{1}{n_{1} }+\frac{1}{n_{2} })  } } }

where p = \frac{n_{1}p_{1} + n_{1}p_{2}}{n_{1}+n_{2}} = \frac{634(0.580)+567(0.229)}{634+567}

       p = 0.414

and q = 1-p = 1- 0.414 =0.586

Z = \frac{0.580-0.229}{\sqrt{0.414(0.586)(\frac{1}{634} +\frac{1}{567} } } }

on calculation , we get

z = 0.300 ><1.96 at 95 % level of significance

H0 is accepted

there is no difference between the proportions of Indian and Asian young people who listen to rap every day.

3 0
3 years ago
70=x+16? Show how to do
Lina20 [59]
Subtract 70 from 16, and you get 54.
4 0
2 years ago
Convert 0.0000.489 to scientific notation
Volgvan
I do not understand why there are two decimal places.
But either ways if you are asking for :
0.0000489 then it is 4.89*10⁻⁵
0.489 then it is 4.89*10⁻¹
The trick is to count the zeroes to the first actual significant number you see and then write the number you counted with a negative sign for your power. 
I hope this helps!
4 0
3 years ago
A sector of a circle has a central angle of 45 . Find the area of the sector if the radius of the circle is 15 cm.
prohojiy [21]

Answer:

A = 28.125 * pi cm^2

A = 88.357  cm^2


Step-by-step explanation:

Area of a sector is 1/2 r^2 theta  where theta is in radians

convert 45 degrees to radians

theta = 45 * pi/180 = pi/4

A = 1/2 * 15^2 * pi/4

A =1/2 * 225 * pi/4

A = 28.125 * pi cm^2

A = 88.357  cm^2


6 0
3 years ago
Help me pleaseeee thank you sm
Leno4ka [110]

Answer:

The answer is A) 379.9

Step-by-step explanation:

3.14(11^2)

3.14*11^2

3.14*(11*11)

379.94 if rounded to the nearest tenth it would be 379.9

7 0
3 years ago
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