Answer:
(B) 0.0588
Step-by-step explanation:
The probability is calculated as a division between the number of possibilities that satisfy a condition and the number of total possibilities. Then, the probability that the first card is diamonds is:
Because the deck has 52 cards and 13 of them are diamonds.
Then, if the first card was diamonds, the probability that the second card is also diamond is:
Because now, we just have 51 cards and 12 of them are diamonds.
Therefore, the probability that both cards are diamonds is calculated as a multiplication between and
. This is:
Answer:
If her brother has 40 tickets, the equation will be 3(40)+2=122. jamie will have 122 tickets
If her brother has 50 tickets, the equation will be 3(50)+2=152. jamie will have 152 tickets
If her brother has 60 tickets, the equation will be 3(60)+2= 182. jamie will have 182 tickets.
Step-by-step explanation:
Just trust me
Queremos maximizar el precio de tal forma que los ingresos no disminuyan.
Ese maximo precio es: $14,040.6
Sabemos que actualmente el precio es:
p = $6,000
El número de clientes es:
C = 120
Actualmente los ingresos son el producto de esos dos números, es decir:
ingresos = $6,000*120 = $720,000
Ahora sabemos que por cada incremento de $700 en el precio, el número de clientes decrece en 10.
Entonces podemos escribir el número de clientes como una ecuación lineal.
C(p) = a*p + b
tal que tenemos dos puntos en esa linea:
($6,000, 120)
($6,700, 110)
La pendiente es:
Entonces tenemos:
C(p) = (-10/$700)*p + b
Sabemos que:
C($6,000) = 120 = (-10/$700)*$6,000 + b
120 = -85.71 + b
120 + 85.71 = b =
Entonces la ecuación lineal es:
C(p) = (-10/$700)*p + 205.71
Los ingresos serán dados por:
ingresos = C(p)*p = (-10/$700)*p^2 + 205.71*p
Y queremos maximizar p de tal forma que esto sea igual a lo que obtuvimos antes:
(-10/$700)*p^2 + 205.71*p = $720,000
Entonces debemos resolver la ecuación cuadratica:
(-10/$700)*p^2 + 205.71*p - $720,000 = 0.
Las soluciones son dadas por la formula de Bhaskara.
La solución de maximo valor es:
p = (-205.71 - 195.45)/(-20/$700) = $14,040.6
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