0.035 x 1.02 is equal to 0.0357. 0.0357 divided by 0.00015 is equal to 238.
Answer:
The probability of exactly 2 breakdowns next month = 0.08422
Step-by-step explanation:
To calculate the probability of exactly 2 breakdowns next month, we use Poisson distribution formula.
P(X = x) = (e^-λ)(λˣ)/x!
Mean = λ = 5 breakdowns per month
x = 2 breakdowns per month
P(X = 2) = (e⁻⁵)(5²)/2!
P(X = 2) = 0.08422
Since you want to use the SAS theorem, you must find sides that are either side of angles BAC and DAE. You have already made use of sides AE and AC, so the other sides you need to choose are AB and AD. The appropriate relationship for similarity is ...
... AD = 2AB
since you want the sides of triangle ADE to be twice then length of those in triangle ABC.
The given points are
P = (-4,11)
Q = (-5,8)
The x-component of vector QP is
-4 - (-5) = 1
The y-component of vector QP is
11 - 8 = 3
The vector QP is
(1,3) or
The magnitude of the vector is
√(1² + 3²) = √(10)
Answer:
The magnitude is √(10).