4) 2 2/3 yards feet * O 8 feet O 6 feet O 2 feet O 7 feet
1 answer:
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Answer:
f(x) = 3 + 2
Step-by-step explanation:
I think your question missed key information, allow me to add in and hope it will fit the orginal one because I answered this question once in Brainly as well. Please have a look at the attached photo.
My answer:
- Given G(x) =
As we can see, the graph of f(x) is 2 units above the graphof g(x) in vertical (vertical shift)
=> f(x) = a + 2
As you can see, the graph of f(x) is stretched vertically by a dilation factor of 3 and there is no reflection, so a= 3
=> the equation of f(x) is: f(x) = 3 + 2
Hope it will find you well.
Answer:
c. 0.16
Step-by-step explanation:
For each passenger there are only two possible outcomes. Either they are caught with a gun, or they are not. The probability of a passenger being caught with a gun is independent from other passengers. So we use the binomial probability distribution to solve this question.
However, we are working with samples that are considerably big. 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 ,
.
In this problem, we have that:
So
What is the probability that tomorrow more than 35 domestic passengers will accidentally get caught with a gun at the airport?
This probability is 1 subtracted by the pvalue of Z when X = 35. So
has a pvalue of 0.8186
1 - 0.8186 = 0.1814.
The closest answer is:
c. 0.16