Answer:
y = -3x + 7
Step-by-step explanation:
Answer:
The probability P of a day with no perceptible earthquakes is 0.0821.
Step-by-step explanation:
We will consider that earthquakes occurring in a day is a <u>Poisson process</u>. The following Poisson probability distribution formula will be used in this question.
<u>p(x,λ) = [e^-λ (λ)ˣ]/x!</u>
where x = number of outcomes occurring
λ = mean number of occurrences
(a) So, in this question we have λ = 2.5 and we need to find the probability that x=0 (no perceptible earthquakes in a day). So,
P(X=0) = p(0,2.5) = [(e^-2.5)(2.5)⁰]/0!
= ((0.0821)*1)/1
P(X=0) = 0.0821
The probability P of a day with no perceptible earthquakes is 0.0821.
Answer:
the coach will have a combination of 2 players since there are initially 4 players on ground and he's picking two from them.
Answer:
(4,-3)
Step-by-step explanation:
This is where the 2 lines meet
Answer:
Step-by-step explanation:
Let the age of of Mrs brook be x
Age of her son be y
If Mrs.Brooks lacks 7 years from being five times as old as her son, this means;
x = 5y - 7 ..... 1
six years from now;
Mrs brooks age = x + 6
sons age = y + 6
If Six years from now she will lack 3 years from being three times as old as her son, this means;
x+ 6 = 3(y+6) - 3
x+6 = 3y + 18 - 3
x+6 = 3y + 15 .... 2
substitute 1 into 2;
(5y - 7)+6 = 3y + 15
5y - 1 = 3y + 15
5y-3y = 15 + 1
2y = 16
y = 8
substitute y = 8 into equation 1;
x = 5y - 7
x = 5(8)-7
x = 40-7
x = 33
Hence the mrs brook is 33 years old
her son is 8 years old