Which linear inequality is represented by the graph?
2 answers:
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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:
34 mph.
Step-by-step explanation:
Let x be speed of Charlene, then speed of Paul will be x+16 as we are given that Paul is driving 16 mph faster than Charlene.
Let y be distance covered by Charlene, then distance covered by Paul will be 420-y.
Now we will use formula . Upon using our given information we will get two equation and two unknowns as:
Upon substituting in 1st equation we will get,
Upon multiplying both sides of our equation by 5 we will get,
Upon substituting y=170 in 2nd equation we will get,
Therefore, Charlene's speed is 34 miles per hour.