The answer is choice C. The reason why is because f(2010) = t(2010). The outputs of the f(x) and t(x) functions are the same when the input is x = 2010. In this case, the output is 740.
Answer:
photograph = 55.7mil
painting = 106.2
sculpture = 144.8
Step-by-step explanation:
let the price of the photograph be x
price of painting = x+50.5
price of sculpture = x+x+50.5-17.1 =2x+33.4
2x+33.4+x+50.5+x=306.7
4x=222.8
x=55.7
price of painting = 55.7+50.5 = 106.2
price of sculpture = 2(55.7)+33.4=144.8
Answer:

1) 
2) 
We can find the individual probabilities and we got:



And the sum of the 3 values 0.6923+0.2307+0.0770= 1 so then we satisfy all the conditions and we can conclude that f(x) is a probability distribution.



Step-by-step explanation:
For this case we have the following density function:

In order to satisfty that this function is a probability mass function we need to check two conditions:
1) 
2) 
We can find the individual probabilities and we got:



And the sum of the 3 values 0.6923+0.2307+0.0770= 1 so then we satisfy all the conditions and we can conclude that f(x) is a probability distribution.
And if we want to find the following probabilities:



X=0 and x=2 are the answers