Obtuse angle because is more than 90 degrees but less than 180 degrees.
Step-by-step explanation:
a vector multiplied by a scalar is equal to it's image. The expression above gives an equation and after solving, it gives you the image
Answer:
Given that an article suggests
that a Poisson process can be used to represent the occurrence of
structural loads over time. Suppose the mean time between occurrences of
loads is 0.4 year. a). How many loads can be expected to occur during a 4-year period? b). What is the probability that more than 11 loads occur during a
4-year period? c). How long must a time period be so that the probability of no loads
occurring during that period is at most 0.3?Part A:The number of loads that can be expected to occur during a 4-year period is given by:Part B:The expected value of the number of loads to occur during the 4-year period is 10 loads.This means that the mean is 10.The probability of a poisson distribution is given by where: k = 0, 1, 2, . . ., 11 and λ = 10.The probability that more than 11 loads occur during a
4-year period is given by:1 - [P(k = 0) + P(k = 1) + P(k = 2) + . . . + P(k = 11)]= 1 - [0.000045 + 0.000454 + 0.002270 + 0.007567 + 0.018917 + 0.037833 + 0.063055 + 0.090079 + 0.112599 + 0.125110+ 0.125110 + 0.113736]= 1 - 0.571665 = 0.428335 Therefore, the probability that more than eleven loads occur during a 4-year period is 0.4283Part C:The time period that must be so that the probability of no loads occurring during that period is at most 0.3 is obtained from the equation:Therefore, the time period that must be so that the probability of no loads
occurring during that period is at most 0.3 is given by: 3.3 years
Step-by-step explanation:
-4 + x 2 + y
------- = 5 and ------ = 5
2 2
so x = 10 + 4 = 14 and y = 10 - 2 = 8
endpoint N = (14,8)
Answer:
A U B = {17, 19, 20, 21, 22, 24}
Step-by-step explanation:
The symbol U is the union symbol, which denotes the union of two sets.
This means that given two sets A and B, the expression
A U B
indicates all the elements that belong to either set A or set B.
In this problem, we have the following two sets:
A = {19, 20, 21, 24}
B = {17, 19, 20, 22}
We can therefore list all the elements belonging to either set A or set B, they are:
17, 19, 20, 21, 22, 24
So, the expression A U B indicates the set:
A U B = {17, 19, 20, 21, 22, 24}
