Consider a poisson process with arrival rate λ. (a)what is the probability that there are 2 arrivals in the time interval (3,6]? (b)let a denote the event that there are 2 arrivals in the time interval (0,6], and b the event that there are 2 arrivals in the time interval (3,9]. given that the event occurred, find the conditional probability that there was exactly one arrival in (3,6].

answer: they are supplementary angles

step-by-step explanation: 161+19=180. supplementary angles equal 180 degrees

18 units²

step-by-step explanation:

first let's find altitude bd using the distance formula

d = √((y₂ - y₁)² + (x₂ - x₁)²)

bd = √((0 - -3)² + (0 - 3)²)

bd = √18

given the placement of points a and c, we can denote that point d bisects segment ac.

we will call ac the base.

using the distance formula

ac = √((0 - 6)² + (-6 - 0)²)

ac = √72

knowing our base and our height, we can plug these into our triangle area formula

area = (b * h)/2

area = (√18 * √72) / 2

area = (√1296) / 2

area = 36 / 2

area = 18 units²

8.75

how-to:

first, we need to find what we have to work with.

since i know that we have 7 (years) and 0.8 (inches), we can use these to solve and find the equation!

secondly, what you want to do, is see that we need to know how much growth out of the 0.8 inches he got in only 1 year, instead of 7 years.

let's try to divide.

7 ÷ 0.8 = 8.75