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Artemon [7]
2 years ago
11

If you were to measure a straight line from New York to Hong Kong it would measure 12.6 cm. If the scale of the map says that 30

00 miles are 3.2 cm, what is the distance between New York and Hong Kong in miles?
Mathematics
2 answers:
adell [148]2 years ago
7 0

WE can solve it by ratio and proportions

Let the distance be x

\\ \sf\longmapsto \dfrac{x}{12.6}=\dfrac{3000}{3.2}

\\ \sf\longmapsto 3.2x=3000(12.6)

\\ \sf\longmapsto 3.2x=37800

\\ \sf\longmapsto x=\dfrac{37800}{3.2}

\\ \sf\longmapsto x=11812.5mi

amid [387]2 years ago
5 0

Answer:

  • 11812.5 miles

Step-by-step explanation:

<u>Given:</u>

  • 3000 miles → 3.2 cm
  • x miles → 12.6 cm

<u>Solve for x by cross-product:</u>

  • 3.2x = 3000*12.6
  • x = 37800/3.2
  • x = 11812.5 miles
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The area is 50 square inches and the length is twice the width. 10 is the length, which is two times 5. 10 times 5 is 50.

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3 years ago
When Harper commutes to work, the amount of time it takes her to arrive is normally distributed with a mean of 24 minutes and a
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Answer:

\mu -2\sigma = 24-2*3= 18

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So then we can conclude that we expect the middle 95% of the values within 18 and 30 minutes for this case

Step-by-step explanation:

For this case we can define the random variable X as the amount of time it takes her to arrive to work and we know that the distribution for X is given by:

X \sim N(\mu = 24, \sigma =3)

And we want to use the empirical rule to estimate the middle 95% of her commute times. And the empirical rule states that we have 68% of the values within one deviation from the mean, 95% of the values within two deviations from the mean and 99.7 % of the values within 3 deviations from the mean. And we can find the limits on this way:

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So then we can conclude that we expect the middle 95% of the values within 18 and 30 minutes for this case

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3 years ago
Hector went shopping for a computer. At RST store, a computer originally prices at $955 had a price reduction of 40%. What was t
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Answer:

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