Answer:
Step-by-step explanation:
The relative frequency is the result of dividing the absolute frequency of a given value by the total number of data:
Where:
The absolute frequency is the number of times a value appears, so in this case:
if the coin is flipped 20 times then:
Therefore:
You can also express the result as a percentage multiplying by 100:
3ay(a + 2y)^2
=3ay(a + 2y)(a + 2y)
=3ay (a^2 + 2ay + 2ay + 4y^2)
= 3ay (a^2 + 4ay + 4y^2)
= 3a^3y + 12a^2y^2 + 4y^3 a)
1 + 2 + 3 + 4 + 5 + 6 = 21 . :)
Detailed Answers:
Volume of a Sphere (V) = 4/3 πr^3
1. Diameter (d) = 21.6 cm
Radius (r) = 21.6/2 = 10.8 cm
Therefore,
= 4/3 πr^3
= 4/3 * 22/7 * (10.8)^3
= 4/3 * 22/7 * 1259.712
= 88/21 * 1259.712
=> 5278.79
Volume (V) = 5278.79 cm^3
2. Diameter (d) = 16 cm
Radius (r) = 16/2 = 8 cm
Therefore,
= 4/3 πr^3
= 4/3 * 22/7 * (8)^3
= 4/3 * 22/7 * 512
= 88/21 * 512
=> 2145.52
Volume (V) = 2145.52 cm^3
3. Diameter (d) = 24 cm
Radius (r) = 24/2 = 12 cm
Therefore,
= 4/3 πr^3
= 4/3 * 22/7 * (12)^3
= 4/3 * 22/7 * 1728
= 88/21 * 1728
=> 7241.14
Volume (V) = 7241.14 cm^3
4. Diameter (d) = 6 cm
Radius (r) = 6/2 = 3 cm
Therefore,
= 4/3 πr^3
= 4/3 * 22/7 * (3)^3
= 4/3 * 22/7 * 27
= 88/21 * 27
=> 113.14
Volume (V) = 113.14 cm^3