Answer:
4
Step-by-step explanation:
g(x) is the graph of f(x) shifted up 4 units.
Answer:
a). The mean = 1000
The variance = 999,000
The standard deviation = 999.4999
b). 1000 times , loss
Step-by-step explanation:
The mean of geometric distribution is given as , 
And the variance is given by, 
Given : 
= 0.001
The formulae of mean and variance are :



a). Mean = 
=
= 1000
Variance = 
= 
= 999,000
The standard deviation is determined by the root of the variance.

=
= 999.4999
b). We expect to have play lottery 1000 times to win, because the mean in part (a) is 1000.
When we win the profit is 500 - 1 = 499
When we lose, the profit is -1
Expected value of the mean μ is the summation of a product of each of the possibility x with the probability P(x).

= $ 0.50
Since the answer is negative, we are expected to make a loss.
Answer:
center = (3, 0)
radius = 2
Step-by-step explanation:
Standard equation of a circle: 
(where (h, k) is the center of the circle and r is the radius)
Given equation:

Rewrite in standard form:

Therefore
- center = (3, 0)
- radius = 2
I am sure this is a personal question, what do you think you would see if you would be able to travel within the multiverse, no one can answer that for you its your opinion :)