K=8k+28
subtract 8k from both side
-7k = 28
divide both side by -7
k= -4
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:
2²×3³×7², 42
Step-by-step explanation:
The solution of this question is attached above. Hope this helps and please give brainlist!
Answer:

Step-by-step explanation:
The trigonometric identity is :

We need to express secθ in terms of tanθ.
The above equation becomes,

Hence, this is the required solution.
688,747,536 ways in which the people can take the seats.
<h3>
</h3><h3>
How many ways are there for everyone to do this so that at the end of the move, each seat is taken by exactly one person?</h3>
There is a 2 by 10 rectangular greed of seats with people. so there are 2 rows of 10 seats.
When the whistle blows, each person needs to change to an orthogonally adjacent seat.
(This means that the person can go to the seat in front, or the seats in the sides).
This means that, unless for the 4 ends that will have only two options, all the other people (the remaining 16) have 3 options to choose where to sit.
Now, if we take the options that each seat has, and we take the product, we will get:
P = (2)^4*(3)^16 = 688,747,536 ways in which the people can take the seats.
If you want to learn more about combinations:
brainly.com/question/11732255
#SPJ!