Answer:
a) 74.69
b) 0.08% probability that on a given day, 51 radioactive atoms decayed.
Step-by-step explanation:
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 time interval.
a. Find the mean number of radioactive atoms that decayed in a day.
27,263 atoms in 365 days. The mean is
b. Find the probability that on a given day, 51 radioactive atoms decayed.
This is P(X = 51).
0.08% probability that on a given day, 51 radioactive atoms decayed.
Answer:
Step-by-step explanation:
The numbers don’t increase by a constant amount, so this is not an arithmetic sequence.
It appears to be a <em>geometric sequence</em>.
The <em>general formula</em> for each term in a geometric sequence is
aₙ = a₁rⁿ⁻¹
===============
Calculate the value of r
You can calculate the r-value by dividing any two consecutive terms in the sequence.
rₙ = aₙ/aₙ₋₁
a₂/a₁ = 4.5/3 = 1.5
a₃/a₂ = 6.75/4.5 = 1.5
a₄/a₃ = 10.125/6.75 = 1.5
a₅/a₄ = 15.1875/10.125 = 1.5
r = 1.5
===============
Determine the formula for the nth term
a₁ = 3; r = 1.5 Substitute the values
aₙ = 3(1.5)ⁿ⁻¹ Write the equation as a function of x
Answer:
= 0.3 min/mile
Step-by-step explanation:
34.5/3 = 11.5
28/2.5 = 11.2
11.5-11.2= 0.3
= 0.3 min/mile
The area of the rectangle is simply width times length.
Hence, A = w*l = (6/5)*12 = 72/5 = 14.4 square inches (ANSWER)
Answer:
43
Step-by-step explanation:
Arrange from smallest to largest
You'll have two numbers in the middle add tgem then divide by 2