Answer:
a) 286
b) 1,037,836,800
c) 285
Step-by-step explanation:
a) Since order is not important, the total possible number of ways to choose 10 players out of 13 is the following combination:
b) The total number of possibilities to assign positions by the selecting 10 players is the permutation of 13 players for 10 positions:
c) The number of ways to pick 10 players including at least one woman is equal to the total number of ways to pick 10 players (found in item a) minus the the number of ways to pick 10 players without picking a single woman.
Since there 10 male players for 10 positions, there is only one possible way to pick a team without women, therefore:
Responder:
1/12
Explicación paso a paso:
Entonces multiplicamos 9 por 3 y obtenemos 27.
Luego multiplicamos 2 por 12 y obtenemos 24.
A continuación, le damos a ambos términos nuevos denominadores: 12 × 3 = 36.
Así que ahora nuestras fracciones se ven así:
27
36
-
24
36
Paso 2
Dado que nuestros denominadores coinciden, podemos restar los numeradores.
27 - 24 = 3
Entonces la respuesta es:
3
36
Paso 3
Por último, necesitamos simplificar la fracción, si es posible. ¿Se puede reducir a una fracción más simple?
Para averiguarlo, intentamos dividirlo por 2 ...
¡No! Así que ahora probamos con el siguiente número primo mayor, 3 ...
¿Son tanto el numerador como el denominador divisibles por 3? ¡Sí! Entonces lo reducimos:
3
36
÷ 3 =
<u>1/12 </u>
In case you're not already aware, the expression 
is called the "difference quotient" and represents the average rate of change of a function 
over an interval ![[x,x+h]](https://tex.z-dn.net/?f=%5Bx%2Cx%2Bh%5D)
.
For the function 
, by substituting 
we get
Then the difference quotient is
where the last equality holds as long as 
.
Answer:
G=0.0728
Step-by-step explanation:
The expression given is:
This expression has the format of a compounded interest at a rate G for a time T. If B = 3,455, A = 1,969, and T = 8, the value of the rate G is determined by:
![3,455=1,969*(1+G)^8\\G = \sqrt[8]{\frac{3,455}{1,969}}-1\\G=0.0728](https://tex.z-dn.net/?f=3%2C455%3D1%2C969%2A%281%2BG%29%5E8%5C%5CG%20%3D%20%5Csqrt%5B8%5D%7B%5Cfrac%7B3%2C455%7D%7B1%2C969%7D%7D-1%5C%5CG%3D0.0728)
The rate G is 0.0728.
Answer:
p
Step-by-step explanation:
