Answer:
There is a 99.99998% probability that at least one valve opens.
Step-by-step explanation:
For each valve there are only two possible outcomes. Either it opens on demand, or it does not. This means that we use the binomial probability distribution to solve this problem.
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 combinatios of x objects from a set of n elements, given by the following formula.
And p is the probability of X happening.
In this problem we have that:
Calculate P(at least one valve opens).
This is 
Either no valves open, or at least one does. The sum of the probabilities of these events is decimal 1. So:
So
Finally
There is a 99.99998% probability that at least one valve opens.
Answer:
125/36
Step-by-step explanation:
6-²=36
5-³=125
125/36
Answer: 9/16
Work Shown:
14 red + 10 yellow + 5 green + 3 purple = 32 total
(32 total) - (14 red) = 18 that aren't red
18/32 = 9/16 is the probability of picking something that isn't red.
Answer:
c = 11
Step-by-step explanation:
96 - 8c = 20 - 12 , that is
96 - 8c = 8 ( subtract 96 from both sides )
- 8c = - 88 ( divide both sides by - 8 )
c = 11
The value of x in given angles is 36°
<h3>What are supplementary angles?</h3>
When the sum of two angles is 180°, then they are said to be supplements of each other.
Given are two angles which are supplements of each other,
Then according to definition of supplementary angles,
m∠A+m∠B = 180°
(2x − 27)°+(3x + 27)° = 180°
2x+3x = 180°
5x = 180°
x = 180°/5
x = 36°
Hence, The value of x in given angles is 36°
For more references on supplementary angles, click;
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