Answer:
2.86% probability that there are exactly 3 crimes during the next hour
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.
In a city with 40000 people, each person has a 0.00020 probability of committing a crime each hour.
So 
What is the probability that there are exactly 3 crimes during the next hour
This is P(X = 3).
2.86% probability that there are exactly 3 crimes during the next hour
Answer:
D
Step-by-step explanation:
We can substitute y = 2x + 1 in the second equation
2x + 1 = -7x + 8
Add 7x to both sides
9x + 1 = 8
Subtact 1 from both sides
9x = 7
x = 7/9
Substituing x in the first equation
y = 14/9 + 1
x rounds to 0.8
y rounds to 2.5
Answer:
25
Step-by-step explanation:
We can calculate for a using sine rule.
For angle A,
A + 27° + 82° = 180 ( sum of angles in a triangle).
A + 109 = 180
A = 180 - 109 = 71°
Therefore,
A = 71°
calculating for side a
Answer:
250
Step-by-step explanation:
because if he's directly under it that means it's a straight line
Answer:
18
Step-by-step explanation:
Let's call the first number n. The next four numbers will be n + 3, n + 6, n + 9 and n + 12. Then, we have
n + n + 3 + n + 6 + n + 9 + n + 12 = 105
5n + 30 = 105
5n = 75
n = 15
The second smallest number is n + 3 which is 15 + 3 = 18.
