ANSWER
The domain of the function is
or
[-3,6]
EXPLANATION
The domain of a function refers to the values of x for which the function is defined.
From the graph, we can see that the function begins at (-3,6) and ends at (6,-4).
Therefore the function is defined for x=-3 to x=6.
Hence the domain of the function is
or
[-3,6]
Μ = 500, population mean
σ = 110, population stadard deviation
The given table is
z 0.00 0.25 0.35 0.45 1.00 1.26 1.35 1.36
P 0.5000 0.5987 0.6368 0.6736 0.8413 0.8961 0.9115 0.9131
Range of random variable is X = [350, 550].
Calculate z-score for x = 350.
z = (350 - 500)/110 = -1.364
From the given tables,
The probability at x = 350 is
1 - 9131 = 0.0869
Calculate the z-score for x = 550.
z = (550 - 500)/110 = 0.454
From the given tables,
The probability at x = 550 is 0.6736
The probability that x =[350,550] is
0.6736 - 0.0869 = 0.5867
Answer: 0.5867 (or 58.7%)
F(t)=5t+10, 5 dollars for each our plus 10 dollar initial fee
For this case we have the following equation:
y = 3619000 (2.7) ^ 0.009t
We must evaluate the equation for the year 2000.
Therefore, we must replace the following value of t:
t = 2000 - 1994
t = 6
Substituting we have:
y = 3619000 (2.7) ^ (0.009 * 6)
y = 3818407.078
Round to the nearest ten thousand:
y = 3820000
Answer:
3820000 residents are living in that city in 2000
