Answer:
42.2 cubic inch
Step-by-step explanation:
Applying,
V = πr²h/3.................... Equation 1
Where, r = radius of the circular base, h = height of the cone, π = pie.
But,
r = P/2π..................... Equation 2
Where P = circumference of the circular base.
Substitute equation 2 into equation 1
V = π(P/2π)²(h)/3
V = P²h/12π.................. Equation 3
From the question,
Given: h = 18.4 in, P = 9.3 in
Constant: π = 3.14
Substitute these values into equation 3
V = (9.3²)(18.4)/(12×3.14)
V = 42.2 cubic inch
<h3>
Answer: </h3><h3>Fred has <u>20 students</u> and Lee has <u>22 students</u></h3>
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Work Shown:
L = number of students in Lee's class
F = number of students in Fred's class
Lee has 1.1 times as many students compared to Fred
This means we have this equation
L = 1.1F
Whatever the value of F is, we multiply that by 1.1 to get the value of L
The two amounts L and F add to 42 total students
L+F = 42
1.1F + F = 42 .... replace L with 1.1F
2.1F = 42
F = 42/(2.1)
F = 20 .... Fred has 20 students
L = 1.1*F
L = 1.1*20
L = 22 .... Lee has 22 students
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Check:
L+F = 22+20 = 42
this confirms the answer
Answer:
Explanation:
Hola. Puesto que tu pregunta está en español, te responderé en el mismo lenguage.
Estas son las posibilidades dadas por la combinación moneda/dado
Número de combinaciones
Moneda: prenda
Cara: vestido 1 de 2: 1/2
Sello: falda 1 de 2: 1/2
Dado: color
Par: negro 3 de 6: 3/6
Impar: café 3 de 6: 3/6
En total son 2 × 6 resultados: 12 (incluye resultados repetidos, no son todos diferentes entre sí)
¿Cuántas combinaciones tienen vestido y color negro?
Es decir: moneda = cara y dado = par
Por tanto, la probabilidad de vestido negro es:
- 3 de 12 = 3/12 = 1/4 ← respuesta
Hay otras formas de resolverlo. Por ejemplo;
Como los resultados de lanzar la moneda y el dado son independientes:
- P(Vestido∩negro) = P(Vestido) × P(Negro)
- P(Vestido) = 1/2
- P(Negro) = 3/6 = 1/2
- P(Vestido) × P(Negro) = 1/2 × 1/2 = 1/4 ← mismo resultado
Answer:
Step-by-step explanation:
We have been given that the United States has 435 members of the House of Representatives in Congress. There are 325.7 million people in the country.
To find the ratio of members to the people, we will find compare both numbers.
1 million equals 1,000,000.
Ratio of members to the people:
435: 3257,000,000
Therefore, our required ratio would be 
members per person.
Answer:
243 .....................
