Answer:
the linear equation is :
y= -2625x+5737875
and 440000 employees will be in year 2271
Step-by-step explanation:
in order to find the linerar equation let us first convert the given data into (x,y ) co-ordinates i.e
x1= 1987 y1= 522,000
and
x2= 2003, y2 = 480000
according to two point form:

In this example we have x1=1987 , y1=522000 , x2=2003 and y2=480000. So,

now to find the year when there will be 440000 employs working , we simply put y= 440000 in the above derived equation

Given:
(2, 4) and (3, 3) are on the line.
To find:
The equation of line in point slope form.
Solution:
If a line passes through a point
with slope m, then the point slope form of the line is

(2, 4) and (3, 3) are on the line. So, slope of the line is




The slope of a line is -1 and it passes through (2,4). So, an equation in point slope form is

Therefore, an equation of the line in point slope form is
.
Donald will have 20x+10 dollars
Answer:
a) 0.25
b) 52.76% probability that a person waits for less than 3 minutes
Step-by-step explanation:
Exponential distribution:
The exponential probability distribution, with mean m, is described by the following equation:

In which
is the decay parameter.
The probability that x is lower or equal to a is given by:

Which has the following solution:

The probability of finding a value higher than x is:

In this question:

a. Find the value of λ.

b. What is the probability that a person waits for less than 3 minutes?

52.76% probability that a person waits for less than 3 minutes