Answer:
postulates of 1-3 : if two independent planes intersect , they intersect in exactly 1 line . hope its helpful .
The diagonal length of the suitcase is 16.12 inches.
Step-by-step explanation:
Step 1:
Length of the suitcase = 14 inches
Width of the suitcase = 8 inches
We need to compute the diagonal length of the suitcase.
Step 2 :
The diagonal length of the suitcase is the diagonal of the rectangle with the above given dimensions
The diagonal and the 2 sides form a right angled triangle and hence the diagonal can be computed using the Pythagoras theorem
So the diagonal² = 14² + 8² = 196 + 64 = 260
the diagonal = √260 = 16.12 inches
Step 3 :
Answer :
The diagonal length of the suitcase is 16.12 inches.
The probability that more than 12 particles occur in the area of a disk under the study is <u>0.20844</u>.
The number of particles follows a Poisson Distribution.
A Poisson Distribution over a variable X, having a mean λ, has a probability for a random variable x as .
In the question, x = 12.
λ = 100*0.1 = 10.
To find : P(X > 12)
P(X > 12) = 1 - P(X ≤ 12) = 1 - poissoncdf(10,12)
As to find the probability of a Poisson Distribution P(X ≤ x), for a mean = λ, we use the calculator function poissoncdf(λ,x).
Therefore, P(X > 12) = 1 - 0.79156 = 0.20844.
Therefore, the probability that more than 12 particles occur in the area of a disk under the study is <u>0.20844</u>.
Learn more about the Poisson Distribution at
brainly.com/question/7879375
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Answer: Luis started by adding 4.8b to both sides
Step-by-step explanation:
4.8 is a positive number so therefore it should be subtracted from both sides to make the right side be empty in that position.