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alexdok [17]
3 years ago
9

In the diagram, line / is parallel to line m and line w is a transversal.

Mathematics
1 answer:
steposvetlana [31]3 years ago
7 0

here this might help

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Shannon collects rainwater to water her flowers. She has one bucket with 3.4 gallons of water and another with 1.85 gallons less
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Answer:

3.4-1.85 = 1.55       3.4+1.55=4.95

Step-by-step explanation:

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What percent of a circle is 3/4 of a circle
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Suppose that the travel time from your home to your office is normallydistributed with mean 40 minutes and standard deviation 7
Alex73 [517]

Answer:

The latest time that you should leave home is 12:08 PM

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 = 40, \sigma = 7

If you want tobe 95 percent certain that you will not be late for an office appointment at 1 P.M.,what is the latest time that you should leave home?

How many minutes is the 95th percentile of travel time?

it is X when Z has a pvalue of 0.95. So it is X when Z = 1.645. So

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

1.645 = \frac{X - 40}{7}

X - 40 = 7*1.645

X = 51.6

Rouding up, the 95th percentile for travel time is 52 minutes.

52 minutes before 1PM is 12:08 PM.

The latest time that you should leave home is 12:08 PM

7 0
3 years ago
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