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Artist 52 [7]
3 years ago
11

Mary's car can go 24 miles on one gallon of gasoline. However , her gas mileage can vary by 2 miles per gallon depending on wher

e she drives . Write an absolute value equation that you can use to find the minimum and maximum gas mileage.
Mathematics
1 answer:
lakkis [162]3 years ago
4 0

Answer: | x -24 |=2

Step-by-step explanation:

Given: Mary's car can go 24 miles on one gallon of gasoline.

her gas mileage can vary by 2 miles per gallon depending on where she drives .

i.e. either 2 miles added or subtracted in the  gas mileage.

i.e. -2< Gas milegae -24 <2

⇒  | Gas milegae -24 |=2

Let x represents the gas mileage.

Then,  | x -24 |=2 is the required absolute value equation that you can use to find the minimum and maximum gas mileage.

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64

Step-by-step explanation:

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The constant between two consecutive terms is called the common difference. The common difference is the number added to any one term of an arithmetic sequence that generates the subsequent term.

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In a particular classroom, a student who did not study scored 60 points on a test. If that student scored 90 points when studyin
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The average time a subscriber spends reading the local newspaper is 49 minutes. Assume the standard deviation is 16 minutes and
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Answer:

They spend at least 69.48 minutes reading the paper.

Step-by-step explanation:

Problems of normally distributed samples are solved using the z-score formula.

In a set with mean \mu and standard deviation \sigma, the zscore of a measure X is given by:

Z = \frac{X - \mu}{\sigma}

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:

\mu = 49, \sigma = 16

For the 10% who spend the most time reading the paper, how much time do they spend?

They spend at least X minutes, in which X is the value of X when Z has a pvalue of 0.90. So it is X when Z = 1.28.

Z = \frac{X - \mu}{\sigma}

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X - 49 = 16*1.28

X = 69.48

They spend at least 69.48 minutes reading the paper.

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