x = population after 3 years
y = starting population
r = percentage
n = number of years
x = y *(1+r)^n
x = 8200 * (1 +0.03)^3
x = 8960.36
so about 8960 people in 3 years
Answer:
P (X ≤ 4)
Step-by-step explanation:
The binomial probability formula can be used to find the probability of a binomial experiment for a specific number of successes. It <em>does not</em> find the probability for a <em>range</em> of successes, as in this case.
The <em>range</em> "x≤4" means x = 0 <em>or</em> x = 1 <em>or </em>x = 2 <em>or</em> x = 3 <em>or</em> x = 4, so there are five different probability calculations to do.
To to find the total probability, we use the addition rule that states that the probabilities of different events can be added to find the probability for the entire set of events only if the events are <em>Mutually Exclusive</em>. The outcomes of a binomial experiment are mutually exclusive for any value of x between zero and n, as long as n and p don't change, so we're allowed to add the five calculated probabilities together to find the total probability.
The probability that x ≤ 4 can be written as P (X ≤ 4) or as P (X = 0 or X = 1 or X = 2 or X = 3 or X = 4) which means (because of the addition rule) that P(x ≤ 4) = P(x = 0) + P(x = 1) + P (x = 2) + P (x = 3) + P (x = 4)
Therefore, the probability of x<4 successes is P (X ≤ 4)
40,000
All you do is multiply 4,000 by 10 to find out what 10 times of your number is, if 4,000 is only 1/10 of it.
Answer:
m = 11/36
Step-by-step explanation:
6/7 m - 1/7 = 5/ 42
Multiply each side by 42 to clear the fractions
42(6/7 m - 1/7) = 5/ 42 *42
36m - 6 = 5
Add 6 to each side
36m -6+6 = 5+6
36m = 11
Divide each side by 36
36m/36 = 11/36
m= 11/36
Answer:
No
Step-by-step explanation:
29/100 can be written as 0.29 , not 0.029.