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2 answers:
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Answer:
Ninety-five percent of consumers in the U.S. consumed less than 63.59 gallons.
Step-by-step explanation:
Problems of normally distributed samples are 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.
In this problem, we have that:
The standard deviation is the square root of the variance, so
Also, the mean is 42.2, so
Ninety-five percent of consumers in the U.S. consumed less than how many gallons?
The 95th percentile, which is the value of X when Z has a pvalue of 0.95. So X when
Ninety-five percent of consumers in the U.S. consumed less than 63.59 gallons.
Answer:
The solution to the system of equations be:
Hece, option B is correct.
Step-by-step explanation:
Given the system of equations
Multiply x − 3y = 6 by 2: 2x-6y=12
so
so the system of equations becomes
Solve 8y = -8 for y
Divide both sides by 8
subtract 6 from both sides
Divide both sides by 2
Therefore, the solution to the system of equations be:
Hence, option B is correct.