Answer: a) 
Step-by-step explanation:
Given : For safety reasons, four different alarm systems were installed in the vault containing the safety deposit boxes at a Beverly Hills bank.
Each of the four systems detects theft with a probability of .99 independently of the others .
Probability for independent events
occurs together =
.
Then, the probability that when a theft occurs, all four systems will detect it
= (0.99) x (0.99) x (0.99) x (0.99)

Hence, the probability that when a theft occurs, all four systems will detect it is
.
Hence, the correct answer is a)
.
Answer:
1). y = -4/7x 2). y = 7/4x - 65/4
Step-by-step explanation:
1). When a line is parallel, the slope remains the same.
y = -4/7x + b
-4 = -4/7(7) + b
-4 = -4 + b
0 = b
The equation is simply y = -4/7x.
2). When a line is perpendicular, the slope becomes the exact opposite.
y = 7/4x + b
-4 = 7/4(7) + b
-4 = 49/4 + b
-65/4 = b
The equation is y = 7/4x - 65/4.
First - 8
second - 4
third - 12
fourth - 9
Answer:
4
Step-by-step explanation: