Answer:
Step-by-step explanation:
n could be : -14, -13, -12... -1, 0 , 1, 2, 3 ,4,5
Answer:
is the equation of line in slope intercept form.
Step-by-step explanation:
Line runs through points begin ordered pair negative 3 comma 0 end ordered pair and begin ordered pair 0 comma 4.
First ordered pair: (-3,0)
Second ordered pair: (0,4)
We have two points and need to find equation of line in slope intercept form


y-intercept, when x=0 , (0,4)
Equation of line in slope intercept form:
y=mx+b
where,
and b=4
Required equation:

Thus,
is the equation of line in slope intercept form.
Answer:
Mean = 2
Standard deviation = 1.356
Step-by-step explanation:
We are given;
Probability of taxpayers that make mistakes when filling out forms: p = 0.08
Sample size; n = 25
In binomial distribution;
Means is;
μ = np
Thus;
μ = 25 × 0.08
μ = 2
Formula for standard deviation here is;
σ = √(np(1 - p))
σ = √(25 × 0.08(1 - 0.08))
σ = 1.356
Assuming that the pool was drained at a constant rate, the speed at which it was drained can be expressed as a function of time. In this case, the pool level will be expressed in feet per hour.
The time changed by 4 hours (6-2), and the level of the pool changed by -8 feet (2-10). Diving the feet by the hours to get the rate of decreasing depth, we find that the rate equals -2 feet/hour.