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)
.
The answer in binary is 10
Let
n-------> the number of nickels
q------> the number of quarters
we know that

so
----> equation A
----> equation B
substitute equation B in equation A
![0.05n+0.25[3n]=1.60](https://tex.z-dn.net/?f=0.05n%2B0.25%5B3n%5D%3D1.60)



Find the value of q

therefore
<u>The answer part a) is</u>
the number of nickels are
and the number of quarters are 
<u>the answer Part b) is</u>
The expressions that represents the number of quarters is
Answer:
Please see attachment
Step-by-step explanation:
Please see attachment