To write the function correctly, it is important to assign variables correctly and understand the situation of the problem clearly. For this, we let y the number of people and x as the number of songs played.
At x = 0 y = 567
at x = 1 y = 567 - 567(1/3)
at x = 2 y = 567 - 567(1/3)(1/3)
at x = 3 y = 567 - 567(1/3)(1/3)(1/3)
Therefore, the number of people left after x songs would be represented by the equation:
y = 567 - 567(1/3)x
y = 567 ( 1- x/3 )
Answer:
c. 2
Step-by-step explanation:
Given : X = No. of hours worked
No. of people work for the manager = 50
X = 3, 4 , 5 , 6 , 7, 8
P(X) = 0.1 , ? , 0.14 , 0.3 , 0.36 , 0.06
To Find : No. of people work for four hours
Solution : First understand the fact that sum of all probabilities is equal to 1
So, sum of all values of P(X) = 1
⇒
⇒
⇒
⇒
So, the probability of no. of people worked for 4 hours is 0.04.
⇒P(4)=0.04
Thus , To calculate no. of people work for four hours :

⇒ 2 no. of people work for four hours per shift .
Answer:
Miguel start to swim when Ario has traveled 4.4 m.
Step-by-step explanation:
The total lenght of the pool is 25.
Since both of them standing 3 m from one side of the pool, then, the total distance both need to cover is
m= 22 m.
Assume that the distance traveled by Ario before Miguel start to swin is
. That means, the remaining distance to Ario (to cover the total size of the pool) is
.
Then, in acoordance to the problem, the ratio between these two distances must be equal to 1/4.
That is,
.
So, we need to obtain
from this equation. We must note that
, otherwise we have a zero in the denominator.
So, we rearrange the equation,
(Multiplying both sides of equation by (
).
Then,
.
Therefore,
m.
Answer:
D. 13*3^x
Step-by-step explanation:
![3^x +4*3^x^+^1= \\3^x+4*3(3^x)=\\3^x(1+[4*3])=\\3^x(1+12)=\\3^x(13)=\\13*3^x](https://tex.z-dn.net/?f=3%5Ex%20%2B4%2A3%5Ex%5E%2B%5E1%3D%20%5C%5C3%5Ex%2B4%2A3%283%5Ex%29%3D%5C%5C3%5Ex%281%2B%5B4%2A3%5D%29%3D%5C%5C3%5Ex%281%2B12%29%3D%5C%5C3%5Ex%2813%29%3D%5C%5C13%2A3%5Ex)