The mean is 36 and the standard deviation is 5.02.
The mean is given by
μ = np = 120*0.3 = 36.
The standard deviation is given by
σ = √(n*p*(1-p)) = √(120*0.3*0.7) = √25.2 = 5.02.
Answer:

Step-by-step explanation:
We have been given that the The annual salaries of all employees at a financial company are normally distributed with a mean of $34,000 and a standard deviation of $4,000.
To solve our given problem we will use z-score formula.
where,
,
,
,

Upon substituting our given values in z-score formula we will get,



Therefore, the z-score of a company employee who makes an annual salary of $54,000 is 5.
The unsimplified version is 12:16
you have to find the highest common factor in them
in this case it would be 4
divide both numbers by 4
3:4
hope this helps you
Answer:
Slope = 
Equation of the line → 
Step-by-step explanation:
Let the equation of diagonal OA is,
y = mx + b
Here, m = Slope of the line OA
b = y-intercept
Slope of a line passing through two points
and
is given by,
m = 
Therefore, slope of the line passing through O(0, 0) and A(3, 4) will be,
m = 
m = 
Since, line OA is passing through the origin, y-intercept will be 0.
Therefore, equation of OA will be,

Answer:
$209
Step-by-step explanation:
we know that
The equation of the line in slope intercept form is equal to

where
m is the slope
b is the y-coordinate of the y-intercept (initial value)
Let
x ----> the volume of mulch in cubic yards
y ----> the total cost in dollars
we have that
The slope of the linear equation is

----> flat fee to deliver mulch
The linear equation is

For x=6 yd^3
substitute in the equation and solve for y

