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ddd [48]
4 years ago
11

The scale on a map is 2cm =25 miles Dave measured the distance to the next town 5cm How many miles away is the next town

Mathematics
1 answer:
denis-greek [22]4 years ago
7 0

First we need to find the measurement for 1 centimetre. To do this, we need to divide the given amount of miles (25) by the given number of centimetres (2).

25 / 2 = 12.5

1 cm = 12.5 miles

Now we need to find the distance of the next town.

If the next town is 5 cm, and 1 cm is 12.5 miles, we need to multiply 12.5 by 5.

12.5 * 5 = 62.5

<h3>So the next town is 62.5 miles away!</h3>

If you are asked to round this to the nearest whole number, it would be 63 miles.

Hope this helped! <em>Brainliest? :)</em>

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An automobile manufacturer has given its van a 59.5 miles/gallon (MPG) rating. An independent testing firm has been contracted t
LekaFEV [45]

Answer:

The pvalue of the test is 0.0124 < 0.1, which means that there is sufficient evidence at the 0.1 level to support the testing firm's claim.

Step-by-step explanation:

An automobile manufacturer has given its van a 59.5 miles/gallon (MPG) rating. An independent testing firm has been contracted to test the actual MPG for this van since it is believed that the van has an incorrect manufacturer's MPG rating:

At the null hypothesis, we test if the mean is the same, that is:

H_0: \mu = 59.5

At the alternate hypothesis, we test that it is different, that is:

H_a: \mu \neq 59.5

The test statistic is:

z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}

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59.5 is tested at the null hypothesis:

This means that \mu = 59.5

After testing 250 vans, they found a mean MPG of 59.2. Assume the population standard deviation is known to be 1.9.

This means that n = 250, X = 59.2, \sigma = 1.9

Value of the test statistic:

z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}

z = \frac{59.2 - 59.5}{\frac{1.9}{\sqrt{250}}}

z = -2.5

Pvalue of the test and decision:

The pvalue of the test is the probability of finding a mean that differs from 59.5 by at least 0.3, which is P(|Z|>-2.5), which is 2 multiplied by the pvalue of Z = -2.5.

Looking at the z-table, Z = -2.5 has a pvalue of 0.0062

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The pvalue of the test is 0.0124 < 0.1, which means that there is sufficient evidence at the 0.1 level to support the testing firm's claim.

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anzhelika [568]

Answer:

See below

Step-by-step explanation:

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Answer:

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