Answer:
<em>99.93%</em>
Step-by-step explanation:
<u>Probability of Independent Events</u>
Given the probability of success of each detector is 0.84 independently of the others, their combined success/failure probability can be computed with the product rule.
We can calculate the required probability by using the binomial distribution, but it's easier to calculate the probability of the negated event an subtract from 1.
We want to know the probability that a least one of the 4 systems detects the occurrence of theft. That probability is the sum of the probabilities that one of them, two of them, three of them or all of them succeed. The negated event is that NONE of them actually detects the theft. Being p the individual probability of success, p=0.84. Being q the probability of failure, q=0.16.
The probability that none of the systems detect the theft is

Thus, the probability that at least one of the systems detect the theft is

That means a 99.93%
Answer:
for question 13
- 130
- 50
- 50
- 130
- 130
- 50
- 50
- 130
Step-by-step explanation:
for 14
x. 150
y. 15
z. 150
i cant say that this is totally correct but im taking a educated guess
Prime factor is a factor that is a prime number.
Prime factors of :
8 : 2 × 2 × 2. Also can be written as

12 : 2 × 2 × 3. Also can be written as

20 : 2 × 2 × 5. Also can be written as

30 : 2 × 3 × 5
56 : 2 × 2 × 2 ×7. Also can be written as

70 : 2 × 5 × 7
You can find all of them by using Factor Tree [ as shown in the picture] or Dividing by prime numbers.


Note down below rules for sign notations
- (-)(-)=(+)
- (+)(-)=(-)(+)=(-)
- (+)(+)=(+)
HI There!
Answer:
6/18 or 1/3
Step-by-step explanation:
Total Sodas: 6 + 6 + 6 = 18
We Know: 6 Pepsi's out of all the sodas total.
Ratio: 6 Pepsi's/18 total sodas
Simplified: 1/3
Hope This Helps :)