Answer:
a
Step-by-step explanation:
With the equation I did 8 * -3/4 + 8 because and I did that with the rest but the only table that is correct using the equation is table a. Hope this helps! :)
This is a 3 to 2 ratio. So in this case you need 180g
The net for a triangular prism consists of
2 identical triangles, here all nets have sides 5,12, and 13.
3 rectangles, all with a common dimension: the height H=14 of the prism.
Each of the 3 rectangles should have dimensions
H=14 plus one of the following:
each of 5, 12, 13 corresponding to one side of the base (triangle).
So the dimensions of the rectangles are
5x14, 12x14, 13x14
And dimensions of the triangles are
5,12 and 13.
The total surface area is therefore
(5+12+13)*14 + 2*(5*12/2)
=420+60
=480.
There is only one net that satisfies this condition.
Answer:
a) The mean number of radioactive atoms that decay per day is 81.485.
b) 0% probability that on a given day, 50 radioactive atoms decayed.
Step-by-step explanation:
Poisson distribution:
In a Poisson distribution, the probability that X represents the number of successes of a random variable is given by the following formula:
![P(X = x) = \frac{e^{-\lambda}*\lambda^{x}}{(x)!}](https://tex.z-dn.net/?f=P%28X%20%3D%20x%29%20%3D%20%5Cfrac%7Be%5E%7B-%5Clambda%7D%2A%5Clambda%5E%7Bx%7D%7D%7B%28x%29%21%7D)
In which
x is the number of sucesses
e = 2.71828 is the Euler number
is the mean in the given interval.
a. Find the mean number of radioactive atoms that decayed in a day.
29,742 atoms decayed during 365 days, which means that:
![\lambda = \frac{29742}{365} = 81.485](https://tex.z-dn.net/?f=%5Clambda%20%3D%20%5Cfrac%7B29742%7D%7B365%7D%20%3D%2081.485)
The mean number of radioactive atoms that decay per day is 81.485.
b. Find the probability that on a given day, 50 radioactive atoms decayed.
This is P(X = 50). So
![P(X = 50) = \frac{e^{-81.485}*(81.485)^{50}}{(50)!} = 0](https://tex.z-dn.net/?f=P%28X%20%3D%2050%29%20%3D%20%5Cfrac%7Be%5E%7B-81.485%7D%2A%2881.485%29%5E%7B50%7D%7D%7B%2850%29%21%7D%20%3D%200)
0% probability that on a given day, 50 radioactive atoms decayed.
Answer:
y = x^2 + 8x - 3
y = x^2 + 8x + (8/2)^2 - 3 - (8/2)^2
y = x^2 + 8x + 16 - 3 - 16
Step-by-step explanation: