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:
People drank 75 cups, First find the amount of juice that Mrs. Jackson bought .Then subtract the 3 cups of juice that were left over
5 x 16=80
80-3= 77
Answer:
The domain of the graph must be 
.
Therefore,
Hence, option a is true.
Step-by-step explanation:
From the graph, it is clear that the graph is heading towards positive infinity from x=-4.
The point x=-4 is included in the graph as the starting point of the graph i.e. x=4 is showing a closed circle on x=4, and heading towards positive infinity onward.
i.e. [-4, ∞)
Hence, the domain of the graph must be .
Therefore,
Hence, option a is true.
The average rate of change in the monthly rate per year is -$0.056 i.e decreases by 0.056 every consecutive year.
Step-by-step explanation:
Step 1; The initial value is $7.69 in 1980 and the final value is $6.13 in 2008.
Difference in values = Final value - initial value = $6.13- $7.69 = -$1.56 (the negative symbol indicates that the cost has gone down with time)
Period between the values =Final year - initial year = 2008 - 1980 = 28 years.
Step 2; To find the rate of change per year, we divide the difference in values in that given period of time by the number of years in that period.
Rate of change per year = Difference in values in that period/ no of years.
= -$1.56 / 28 = -$0.056 (the negative symbol indicates that the cost has gone down with time)
So for every year between 1980 and 2008, the price of the monthly rate for basic able TV reduced by $0.056.
Answer:
-11x=-66
x=6
Explanation:
-11x-12=-78
1) Add 12 to both sides.
-11x=-78+12
-11x=-66
2) Divide both sides by -11.
x=-66/-11
x=6
Hope this helps! Please leave a thanks and brainliest answer if you can :)
