Answer: The mean number of checks written per day ![=0.3452](https://tex.z-dn.net/?f=%3D0.3452)
Standard deviation![=0.5875](https://tex.z-dn.net/?f=%3D0.5875)
Variance ![=0.3452](https://tex.z-dn.net/?f=%3D0.3452)
Step-by-step explanation:
Given : The total number of checks wrote by person in a year = 126
Assume that the year is not a leap year.
Then 1 year = 365 days
Let the random variable x represent the number of checks he wrote in one day.
Then , the mean number of checks wrote by person each days id=s given by :-
![\lambda=\dfrac{126}{365}\approx0.3452](https://tex.z-dn.net/?f=%5Clambda%3D%5Cdfrac%7B126%7D%7B365%7D%5Capprox0.3452)
Since , the distribution is Poisson distribution , then the variance must equal to the mean value i.e. ![\sigma^2=\lambda=0.3452](https://tex.z-dn.net/?f=%5Csigma%5E2%3D%5Clambda%3D0.3452)
Standard deviation : ![\sigma=\sqrt{0.3452}=0.5875372328\approx0.5875](https://tex.z-dn.net/?f=%5Csigma%3D%5Csqrt%7B0.3452%7D%3D0.5875372328%5Capprox0.5875)
Answer:
B
Step-by-step explanation:
B, because -9.2 = -4.5, which is less than -4.12. Also, 17/4 = 4.25 is less than sqrt(20), which is 4.4721
Answer:
y = 11x - 18
Step-by-step explanation:
Use the equation y = mx + b
m (the slope) = 11
x (the x-coordinate) = 2
y (the y-coordinate) = 4
Plug it in for our original equation:
4 = 11*2 + b
4 = 22 + b
4 - 22 = b
b = -18
Therefore, the answer is y = 11x - 18. The tricks to these problems are usually in the same format, when you are given the slope and a point it passes through, just plug in the slope and the x and y, and solve for b. Hope this helps!
9514 1404 393
Answer:
see the attachment for a graph
Step-by-step explanation:
With the given point and slope, the equation of the line can be written in point-slope form:
y -k = m(x -h) . . . . . line with slope m through point (h, k)
y -2 = 1/2(x +1) . . . . line with slope 1/2 through point (-1, 2)
__
Slope is the ratio of rise to run, so a slope of 1/2 means the line will rise 1 unit for each 2 units of run (to the right). If you're plotting this by hand, you can identify a second point that is 2 right and 1 up from the given point:
(-1 +2, 2 +1) = (1, 3).
You can draw your line through those two points.
Answer:
1. 7x
2. 8x - 1
3. 12 + 6x
4. 4 - 7x
5. 13x - 7
Step-by-step explanation: