Evaluate: 30 - 12÷3×2 =
1 answer:
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The solution to the equation is x = 0, 2
The graph is posted
hope that helps :)
The prime factor of the 576 is and the prime factor of the 64 is
. And the expression
is equal to 3.
Simplification is to make something easier to do or understand and to make something less complicated.
Given
The expression is
The prime factor of the 576 will be
The prime factor of the 64 will be
Then the expression will be
More about the simplification link is given below.
Answer:
98.75% probability that every passenger who shows up can take the flight
Step-by-step explanation:
For each passenger who show up, there are only two possible outcomes. Either they can take the flight, or they do not. The probability of a passenger taking the flight is independent from other passenger. So the binomial probability distribution is used to solve this question.
However, we are working with a large sample. So i am going to aproximate this binomial distribution to the normal.
Binomial probability distribution
Probability of exactly x sucesses on n repeated trials, with p probability.
Can be approximated to a normal distribution, using the expected value and the standard deviation.
The expected value of the binomial distribution is:
The standard deviation of the binomial distribution is:
Normal probability distribution
Problems of normally distributed samples can be solved using the z-score formula.
In a set with mean and standard deviation
, the zscore of a measure X is given by:
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.
When we are approximating a binomial distribution to a normal one, we have that ,
.
The probability that a passenger does not show up is 0.10:
This means that the probability of showing up is 1-0.1 = 0.9. So
Because not all airline passengers show up for their reserved seat, an airline sells 125 tickets
This means that
Using the approximation:
(a) What is the probability that every passenger who shows up can take the flight
This is , so this is the pvalue of Z when X = 120.
has a pvalue of 0.9875
98.75% probability that every passenger who shows up can take the flight