The greatest number of the sets you can make are 32 sets
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:
dx/dt = 5√5/2
Step-by-step explanation:
Given:
dx/dt = 25 feet per second
According to Pythagoras theorem:
x² + 90² = y²
We know that x = 30 ft
So,
x² + 90² = y²
30² + 90² = y²
y = 30√10
So,
x² + 90² = y²
By taking differentiate:
2x dx/dt = 2y dy/dt
[x/y][dx/dt] = dy/dt
dx/dt = 5√5/2
Answer:
See explanation
Step-by-step explanation:
This question requires a list of options.
Since, there are none; I'll give a general explanation to answer this.
We have that:

The general format of an equation in terms of f and c is:

Where
and 
A true statement about the function above is:
The slope of the equation is 14
This means that at every minute, there's an additional 14 chirps from the cricket.
Another true statement about the function is that:
The y intercept is 40.
This means that the initial number of chirps by the cricket is 40
i.e. At time, c = 0 minutes.
There are 40 chirps.
A likely question could be to determine the number of chirps in (say) 5 minutes.
This means that:

Substitute 5 for c in 



This implies there are 110 chirps in 5 minutes
72 because 63 + 9 is basically 9×8