Given:
The graph of an exponential function.
To find:
The exponential growth factor as x increases by 1 unit.
Solution:
From the given graph, it is clear that the exponential function passes through the points (1,1) and (3,9). So, the equation of the exponential must must be satisfy by these points.
The general exponential function is:
...(i)
Where, a is the initial value and b is the growth factor.
Putting 
in (i), we get
...(ii)
Putting 
in (i), we get
...(iii)
Divide (iii) by (ii).
b is the the growth factor and the value of b is 3.
Therefore, the exponential growth factor is 3 as x increases by 1 unit.
Answer:
$3.17
Step-by-step explanation:
Answer:
When a line has a slope of 1/3, it means it's going up 1 unit and to the right 3 units.
(Remember rise/run; in which rise is movement up or down, and run is movement left or right. )
Here's an example graphed above for you⤴⤴⤴
Hope this helps you :)
Answer:
6.5 cm
Step-by-step explanation:
The solution to the question above is solved in the attached picture.
Answer:
The random variables in this case are discrete since they have a Multinomial distribution.
The probability mass function for a discrete random variable X is given by:
Where are 
are possible values of X.
The joint probability mass function of two discrete random variables X and Y is defined as
P(x,y) =P(X=x,Y=y).
It follows that, The joint probability mass function of 
is :
