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:
16,771.56 square feet.
Step-by-step explanation:
In order to get to the result we will need to use the scale and the numbers that are provided of the dimensions of the room.
The dimensions of the room on the floor plan are 17.8 inches by 21.2 inches. We first need to multiply these numbers with the scale:
17.8 x 80 = 1,424
21.2 x 80 = 1,696
Now that we got the real measures we need to multiply these two values in order to get to a result as in how many square inches is the room:
1,424 x 1696 = 2,425,104
Now we need to convert the square inches into square feet to get to the final result:
1 ft² = 144 in²
2,425,104 / 144 = 16,771.56
So we have a result of 16,771.56 square feet.
The slope is 2 hope this helps
Answer:
5.5 inches
Step-by-step explanation:
Since it is a hexagon, there is 6 faces. The total lateral area is 6 times area of one face. The area of one face is 12 times the width so the total is 6*12*width which equals 396. Dividing both sides by 6 gives you 12*width = 66. Dividing both sides by 12 gives you width = 5.5.
