A car moves from postion 50m south of the library to new position 250m north of the library this movement takes 15 seconds what
2 answers:
You might be interested in
Answer:
Step-by-step explanation:
The model , the number of planets found up to time
, as a Poisson process. So, the
has distribution of Poison distribution with parameter
a)
The mean for a month is, per month
(Here. t = 24)
For Poisson process mean and variance are same,
(Poisson distribution mean and variance equal)
The standard deviation of the number of planets is,
b)
For the Poisson process the intervals between events(finding a new planet) have independent exponential distribution with parameter . The sum of
of these independent exponential has distribution Gamma
.
From the given information, and
Calculate the expected value.
(Here, and
)
C)
Calculate the probability that she will become eligible for the prize within one year.
Here, 1 year is equal to 12 months.
P(X ≤ 12) = (1/Г (k)λ^k)(x)^(k-1).(e)^(-x/λ)
Hence, the required probability is 0.2149 or 21.49%
Answer:
There are 30 ounce of green paint 18 ounces blue paint was needed.
Step-by-step explanation:
Given that,
In order to make green paint a 2:3 ratio of blue paint and yellow paint is used.
Assume 2x blue paint and 3x yellow paint required to make 30 ounce of green paint.
According to the problem,
2x+3x=30
⇒5x=30
⇒ x=6
The amount of blue paint is = 2×6
=12 ounces
The amount yellow paint is = (3×6)
= 18 ounces
There are 30 ounce of green paint 18 ounces blue paint was needed.