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Vladimir [108]
3 years ago
12

Convert 10 miles per hour to meters per second. Round to the nearest tenth.

Mathematics
1 answer:
LUCKY_DIMON [66]3 years ago
4 0

Answer:

4.5 meters/second

Step-by-step explanation:

First we can find out how to convert one hour into seconds, which will be 3600 seconds. Now we have to figure out how many meters are in a mile, and multiply that by 10 to figure out how many meters are traveled per 3600 seconds (hour). The amount of meters in a mile is about 1609.34, which means the number of meters in 10 miles is 16093.4 meters. Now we know that  10 miles per hour is equal to 16093.4 meters per 3600 seconds. The last thing we need to do is divide the amount of meters per 3600 seconds by 3600 to find the amount of meters traveled in one second. This means we have to do 16093.4/3600 which is about 4.47, which rounded to the nearest tenth is 4.5.

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elixir [45]
The first one. Hope this helps
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4 years ago
Please Help! Multiple Choice!
Katyanochek1 [597]

Using the z-distribution, the p-value would be given as follows:

b) 0.0086.

<h3>What are the hypothesis tested?</h3>

At the null hypothesis we test if the means are equal, hence:

H_0: \mu_D - \mu_C = 0

At the alternative hypothesis, it is tested if they are different, hence:

H_1: \mu_D - \mu_C \neq 0

<h3>What are the mean and the standard error for the distribution of differences?</h3>

For each sample, they are given as follows:

  • \mu_D = 12, s_D = \frac{5.2}{\sqrt{73}} = 0.6086
  • \mu_C = 14, s_C = \frac{4.1}{\sqrt{81}} = 0.4556

Hence, for the distribution of differences, they are given by:

  • \overline{x} = 12 - 14 = -2.
  • s = \sqrt{0.6086^2 + 0.4556^2} = 0.76

<h3>What is the test statistic?</h3>

The test statistic is given by:

z = \frac{\overline{x} - \mu}{s}

In which \mu = 0 is the value tested at the null hypothesis.

Hence:

z = \frac{\overline{x} - \mu}{s}

z = \frac{-2 - 0}{0.76}

z = -2.63.

Using a z-distribution calculator, for a two-tailed test, with z = -2.63, the p-value is of 0.0086.

Hence option B is correct.

More can be learned about the z-distribution at brainly.com/question/13873630

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4 0
2 years ago
Order the following numbers from greatest to least: 7.321, 7.3, 7.065, 7.65
Slav-nsk [51]

The order for the given decimal numbers, from the greatest to the least, is: D. 7.65, 7.321, 7.3, 7.065.

<h3>How to Order a Set of Decimal Numbers?</h3>

When considering the order of a set of decimal numbers, the value larger the digit that is close to the decimal point, the larger the decimal number, and vice versa.

Given the following set of decimal numbers, 7.321, 7.3, 7.065, 7.65.

Notice that all decimal numbers start with 7. So, the digit close to the decimal point is what we will consider to determine which decimal number is greater or the least.

The decimal number that has the greater digit that is close to the decimal point is, 7.65, followed by 7.321, then 7.3.

The decimal number with the least digit closer to the decimal point is 7.065.

Therefore, the order for the given decimal numbers, from the greatest to the least, is: D. 7.65, 7.321, 7.3, 7.065.

Learn more about order of decimal numbers on:

brainly.com/question/20603315

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6 0
2 years ago
Line 1 passes through the points (-4, -6) and (12,2). line 2 passes through the points (-6,-2) and (-2,0). Do the lines intersec
kifflom [539]

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3 years ago
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