Answer:
359
Step-by-step explanation:
brainiest?
Answer:
The value of P( A and B ) is 0.08.
Step-by-step explanation:
When two events are independent then the probability of both occurring is equal to the product of probabilities of both events individually,
That is, If X and Y are independent events,
Then, P(X∩Y) = P(X) × P(Y),
or P(X and Y) = P(X) × P(Y),
Here, P(A) = 0.40 and P(B) = 0.20,
Hence, P(A∩B) = P(A) × P(B)
= 0.40 × 0.20
= 0.08
Answer:
15.035 years
Step-by-step explanation:
The exponential function to calculate population growth is
P(t) = Poe^kt
P(t) = Population size after t years = 3.6 million
Po = Initial population size = 2.1 million
k = growth rate = 3.65% = 0.0365
t = time in years = ???
Hence:
3600000 = 2100000 × e ^0.0365t
Divide both sides by 2100000
3600000/2100000 = e^0.0365t
1.7142857143 = e^0.0365t
Find the log of both sides
Log 1.7142857143 = log (e^0.0365t)
Log 1.7142857143 /Log 0.0365 = t
t = 15.035 years
The distribution of the possible digits of the numbers are
1.) 9, 9, 9, 9, 3 [Number of arrangements = 5! / 4! = 120 / 24 = 5]
2.) 9, 9, 9, 8, 4 [Number of arrangements = 5! / 3! = 120 / 6 = 20]
3.) 9, 9, 9, 7, 5 [Number of arrangements = 5! / 3! = 120 / 6 = 20]
4.) 9, 9, 9, 6, 6 [Number of arrangements = 5! / (3! x 2!) = 120 / 12 = 10]
5.) 9, 9, 8, 8, 5 [Number of arrangements = 5! / (2! x 2!) = 120 / 4 = 30]
6.) 9, 9, 8, 7, 6 [Number of arrangements = 5! / 2! = 120 / 2 = 60]
7.) 9, 9, 7, 7, 7 [Number of arrangements = 5! / (3! x 2!) = 120 / 12 = 10]
8.) 9, 8, 8. 8, 6 [Number of arrangements = 5! / 3! = 120 / 6 = 20]
9.) 9, 8, 8, 7, 7 [Number of arrangements = 5! / (2! x 2!) = 120 / 4 = 30]
10.) 8, 8, 8, 8, 7 [Number of arrangements = 5! / 4! = 120 / 24 = 5]
Number of 5 digit numbers whose digit sum up to 39 = 5 + 20 + 20 + 10 + 30 + 60 + 10 + 20 + 30 + 5 = 210
