Answer: 0.992
Step-by-step explanation:
Given : The three systems detects when a trespass occurs with a probability of 0.98 independently of the others.
Then, the probability that system failed to detect a trespass = 1- 0.98 = 0.02
Since each system works independently ,
Then, the probability that none of 3 systems will detect = 0.2 x 0.2 x 0.2 = 0.008
Then the probability that when a trespass occurs, at least one of the systems will detect it
= 1- P( none of three systems detect)
= 1- 0.008=0.992
Hence, the probability that when a trespass occurs, at least one of the systems will detect it = 0.992
False because it is not in the shape of it but I will turn out to be some leaf looking thing
We are given the following function:

This function is equivalent to the function:

Together with a translation 5 units in the negative direction of the "x" axis. Since the range of g(x) is all the values of "y" that are smaller or equal to zero, if we translate 5 units in the negative direction of the y-axis the range is:

or in interval notation:
4+3=7
That is because using PEMDAS you basically get (+4)=4 and (+3)=3 hence the equation is 4+3=7
Answer:
Step-by-step explanation:
The discriminant comes from the quadratic formula. We use the discriminant to determine, before factoring, what types of solutions we can expect when we do factor. In the quadratic formula, the discriminant is under a square root sign. If the number under a square root sign is negative (meaning the discriminant is negative), we will not have real number solutions because you can't have a negative number under a square root. So a is your choice.