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:
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:
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
0% probability that on a given day, 50 radioactive atoms decayed.
the answer is 772 because if you do 6+2+2+550+212=
The correct display of the expression on a number line is number line (c)
<h3>How to determine the expression that shows how to rewrite 5 − 6 using the additive inverse?</h3>
The complete question is added as an attachment
The expression is given as:
5 - 6
Put 6 in a bracket.
So, we have:
5 - 6 = 5 - (6)
Express 6 as --6
So, we have:
5 - 6 = 5 - -(-6)
Rewrite as:
5 - 6 = 5 + (-6)
The above means that the arrow on the number line must start from 5 and moves in the negative direction in 6 units
The correct display of the expression on a number line is number line (c)
Read more about number lines at:
brainly.com/question/24644930
#SPJ1
Answer:
Step-by-step explanation:
So we have the equation:
First, separate the second term:
Let u equal 5ˣ. So:
Combine like terms:
Divide both sides by 6:
Substitute back u:
Take the base 5 logarithm of both sides:
The left cancels:
Evaluate the right:
So, our answer is 2.
And we're done!
