Answer:
x = -6
Step-by-step explanation:
B = 2
F = 6
D = 4
H = 8
x + B = Fx - Dx + H
x + 2 = 6x - 4x + 8
x + 2 = 2x + 8
-x = 6
x = -6
Answer: 6.5 feets
Step-by-step explanation:
The model of the spaceship was made to a scale of 1:16. Assuming the same unit of measurement used in the actual spaceship was also used in the model space ship and it was in feets. This means 1 foot on the model spaceship represented 16 feets on the actual spaceship.
In the movie, the ship is supposed to be 104 feet long. Let x be the corresponding length on the model. Therefore,
1:16 = x:104
1/16 = x/104
16x = 104
x = 104/16 = 6.5feets
So the length of the model is 6.5 feets
Answer:
36.58% probability that one of the devices fail
Step-by-step explanation:
For each device, there are only two possible outcomes. Either it fails, or it does not fail. The probability of a device failling is independent of other devices. So we use the binomial probability distribution to solve this question.
Binomial probability distribution
The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

In which
is the number of different combinations of x objects from a set of n elements, given by the following formula.

And p is the probability of X happening.
A total of 15 devices will be used.
This means that 
Assume that each device has a probability of 0.05 of failure during the course of the monitoring period.
This means that 
What is the probability that one of the devices fail?
This is 


36.58% probability that one of the devices fail
25 coconuts were in the originalpile the first sailor gave one of them to the monkeys and took 1/3 of the 24th equals eight which left 16 the second sailor gave one to the monkey and took 1/3 of 15 then all three sailors took two more each
Answer:
2 x e-4
Step-by-step explanation: