Answer:
116.33
Step-by-step explanation:
Answer:
<h2>The sine function won't be affected, but the consine function will.</h2>
Step-by-step explanation:
First of all, remember that 
and 
. As you can see, the sine function won't be affect by 
, because its value is null.
However, the x-intercept of the cosine function depends on the value, because the function is equal to the unit.
On the other hand, the variable 
won't affect any function, because it would be always zero.
Therefore, the sine function won't be affected, but the consine function will.
Answer:
a) P ( E | F ) = 0.54545
b) P ( E | F' ) = 0
Step-by-step explanation:
Given:
- 4 Coins are tossed
- Event E exactly 2 coins shows tail
- Event F at-least two coins show tail
Find:
- Find P ( E | F )
- Find P ( E | F prime )
Solution:
- The probability of head H and tail T = 0.5, and all events are independent
So,
P ( Exactly 2 T ) = ( TTHH ) + ( THHT ) + ( THTH ) + ( HTTH ) + ( HHTT) + ( HTHT) = 6*(1/2)^4 = 0.375
P ( At-least 2 T ) = P ( Exactly 2 T ) + P ( Exactly 3 T ) + P ( Exactly 4 T) = 0.375 + ( HTTT) + (THTT) + (TTHT) + (TTTH) + ( TTTT)
= 0.375 + 5*(1/2)^4 = 0.375 + 0.3125 = 0.6875
- The probabilities for each events are:
P ( E ) = 0.375
P ( F ) = 0.6875
- The Probability to get exactly two tails given that at-least 2 tails were achieved:
P ( E | F ) = P ( E & F ) / P ( F )
P ( E | F ) = 0.375 / 0.6875
P ( E | F ) = 0.54545
- The Probability to get exactly two tails given that less than 2 tails were achieved:
P ( E | F' ) = P ( E & F' ) / P ( F )
P ( E | F' ) = 0 / 0.6875
P ( E | F' ) = 0
Answer:
El punto de intersección con el eje “y” será (0 ; 8).
Step-by-step explanation:
En este caso la función es f(x)= -3*x + 8, o lo que es lo mismo, y= -3*x + 8
Para encontrar la intersección en y, se debe sustituir a la variable x por 0 por en la función. Una vez hecha la sustitución, es posible resolver la ecuación para encontrar el valor de y.
En este caso:
y= -3*0 + 8
Resolviendo:
y= 0 + 8
y= 8
Otra forma de resolverlo es, siendo la función f(x)= m*x + b (donde m es la pendiente y b la ordenada al origen), el valor b es el punto donde una recta cruza el eje y. En este caso la ordenada al origen tiene un valor de 8.
Entonces <u><em>el punto de intersección con el eje “y” será (0 ; 8).</em></u>
Step-by-step explanation:
Compounded monthly means n=12
