Answer:
Mean = 0.38082 checks per day
Variance = 0.38082
Standard deviation = 0.61711
Step-by-step explanation:
In a Poisson distribution, the variance (V) is equal to the mean value (μ), and the standard deviation (σ) is the square root of the variance.
A year has 365 days,, if 139 checks were written during a year, the mean number of checks written per day is:

Therefore, the variance and standard deviation are, respectively:

The answer is AB= 52, because x=15
Equation if the line for the graph is
y = -2x+1
Answer:
Amount after one year = $410
Error made = $260
Step-by-step explanation:
Number of quarters in one year = four quarters
Hence amount after one year = P(1+r)⁴
A = 325(1+0.06)⁴ = $410
Error made = 670 - 410 = $260
Answer:
a30 = 96
Step-by-step explanation:
-20,-16,-12,-8,-4
We are adding 4 each time, which is the common difference
-20+4 = -16
-16+4 =-12
The formula for an arithmetic sequence is
an = a1 +d(n-1) where a1 is the first term and 4 is the common difference
an = -20 +4(n-1)
We want the 30th term
a30 = -20+4(30-1)
a30 = -20 +4(29)
= -20 +116
= 96