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The expression that shows the cost to rent a car for 1 week and drive 200 miles is (15 × 7) + (0.25 × 200)
The problem can be modelled to a linear equation.
<h3>Linear equation</h3>
Linear equation can be represented in slope intercept form as follows:
y = mx + b
where
m = slope
b = y-intercept
Therefore,
y = total cost of the rental
x = mile driven
Hence,
y = 0.25x + 15
Therefore, the expression that shows the cost to rent a car for 1 week and drive 200 miles is as follows:
learn more on linear equation here: brainly.com/question/1550434
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:
Yes, this is a translation which doesn't change the pre-image size
Step-by-step explanation:
Answer:
yes it is cause it has a slope and stuff