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3 years ago

Having trouble with this word problem;

Mathematics

2 answers:

NeX [460]3 years ago

8 0

Answer:

If Mary runs at 5mhp and Janet runs at 7mph, it will take them 45 minutes to reach a point where there is 1.5 miles between them.

Or, if you'd like a shorter answer:

<u>45 minutes.</u>

Step-by-step explanation:

It will take both of them 1 hour to reach 2 miles between them. We are looking for 1.5 miles between them. So, split 1 hour into 4 equal parts.

1hr = 60 min.

4 x 15 = 60

Next, Add 3 of those 4 parts together or multiply one part by 3.

15 x 3 = 45

There's the answer.

Gwar [14]3 years ago

7 0

Answer:

8mph

Step-by-step explanation:

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3 years ago

Ken saves $140 per month. If this is 2.5% of his monthly income, how much does he earn per month?

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3 years ago

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

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3 years ago

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Likurg_2 [28]

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3 years ago