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:

Answer:
b = $48000, m = $3187.5 / year
Step-by-step explanation:
The equation of a linear function is given as y = mx + b, where m is the rate of change, b is the value of y when x = 0, y = dependent variable and x = dependent variable.
Given that V = mt + b:
b = initial price of the house at 0 years = $48000
V = mt + 48000, At 8 years the house is appraised at $73,500
73500 = 8m + 48000
8m = 73500 - 48000
8m = 25500
m = 3187.5
Answer:
-11x-4 is the answer if the expression to simplify is (-7x+1)-(4x+5).
Step-by-step explanation:
We are first going to distribute to get rid of the ( ):
-7x+1-4x-5
Pair up like terms:
-7x-4x+1-5
Combine the like terms:
-11x-4
Answer:
x = 1
Step-by-step explanation:
We know that the two angles must be equal to each other. So:
65x - 12 = 43x + 10
First add 12 to both sides:
65x - 12 + 12 = 43x + 10 + 12
65x = 43x + 22
Then subtract 43x from both sides:
65x - 43x = 43x - 43x + 22
22x = 22
x = 1
Answer: B) A = 750(1.04)ⁿ
<u>Step-by-step explanation:</u>
The formula for compounded annually is: A = P(1 + r)ⁿ where
- A (amount accrued) = <em>unknown</em>
- P (amount invested) = $750
- r (interest rate) = 4% -->(0.04)
- t (time in years) = <em>unknown</em>
A = 750(1 + 0.04)ⁿ
= 750(1.04)ⁿ