The answer is A. 3375 mm^3. This is because, since it is a cube, all of the sides are the same, meaning that you have to do 15 × 15 = 225, and then multiply that by 15 which is 3375. I hope this helps!
Answer:
a. 0.0368
b. 0.99992131
c. 0.2039
d. 0.0048
e. 0.6533
Step-by-step explanation:
Let the probability of obtaining a head be p = 65% = 13/20 = 0.65. The probability of not obtaining a head is q = 1 - p = 1 -13/20 = 7/20 = 0.35
Since this is a binomial probability, we use a binomial probability.
a. The probability of obtaining 11 heads is ¹²C₁₁p¹¹q¹ = 12 × (0.65)¹¹(0.35) = 0.0368
b. Probability of 2 or more heads P(x ≥ 2) is
P(x ≥ 2) = 1 - P(x ≤ 1)
Now P(x ≤ 1) = P(0) + P(1)
= ¹²C₀p⁰q¹² + ¹²C₁p¹q¹¹
= (0.65)⁰(0.35)¹² + 12(0.65)¹(0.35)¹¹
= 0.000003379 + 0.00007531
= 0.0007869
P(x ≥ 2) = 1 - P(x ≤ 1)
= 1 - 0.00007869
= 0.99992131
c. The probability of obtaining 7 heads is ¹²C₇p⁷q⁵ = 792(0.65)⁷(0.35)⁵ = 0.2039
d. The probability of obtaining 7 heads is ¹²C₉q⁹p³ = 220(0.65)³(0.35)⁹ = 0.0048
e. Probability of 8 heads or less P(x ≤ 8) = ¹²C₀p⁰q¹² + ¹²C₁p¹q¹¹ + ¹²C₂p²q¹⁰ + ¹²C₃p³q⁹ + ¹²C₄p⁴q⁸ + ¹²C₅p⁵q⁷ + ¹²C₆p⁶q⁶ + ¹²C₇p⁷q⁵ + ¹²C₈p⁸q⁴
= = ¹²C₀(0.65)⁰(0.35)¹² + ¹²C₁(0.65)¹(0.35)¹¹ + ¹²C₂(0.65)²(0.35)¹⁰ + ¹²C₃(0.65)³(0.35)⁹ + ¹²C₄(0.65)⁴(0.35)⁸ + ¹²C₅(0.65)⁵(0.35)⁷ + ¹²C₆(0.65)⁶(0.35)⁶ + ¹²C₇(0.65)⁷(0.35)⁵ + ¹²C₈(0.65)⁸(0.35)⁴
= 0.000003379 + 0.00007531 + 0.0007692 + 0.004762 + 0.01990 + 0.05912 + 0.1281 + 0.2039 + 0.2367
= 0.6533
Answer: 16 in
Explanation:
PQ/QR = PT/TS
PQ/4 = 12/3
PQ x 3 = 12 x 4 (cross multiply)
PQ x 3 = 48
PQ = 48/3
PQ = 16
Answer:
Caja de plaquetas = x = 30 €
Caja de azulejos = y = 35 €
Step-by-step explanation:
Deje que el costo de
Caja de plaquetas = x
Cuadro de mosaico = y
Por Berta
Para reformar su cocina, Berta compró la semana pasada 2 cajas de baldosas de plaquetas para el suelo y 4 cajas de baldosas para la pared por 200 €.
2x + 4y = 200 ...... Ecuación 1
Hoy
Hoy compré 2 cajas más de plaquetas y otras 2 de tejas por 130 €.
2x + 2y = 130 ..... Ecuación 2
Resolvemos usando el método de Eliminación
2x + 4y = 200 ...... Ecuación 1
2x + 2y = 130 ..... Ecuación 2
Restar la ecuación 2 de 1
2 años = 70
y = 70/2
y = 35 €
Resolviendo para x
2x + 4y = 200 ...... Ecuación 1.
2x + 4 × 35 = 200
2x + 140 = 200
2x = 200 - 140
2x = 60
x = 60/2
x = 30 €
el costo de
Caja de plaquetas = x = 30 €
Caja de azulejos = y = 35 €
Y = 2x - 2.25 y = 10
10 = 2x - 2.25
10 + 2.25 = 2x
12.25 = 2x
6.125 = x
hope this helps, God bless!
