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alexandr402 [8]
3 years ago
15

A train travels 226 miles from Washington, D.C.,to New York city in about 2 hours and 30 minute. What is the average speed of th

e train in miles per hour? Round to the nearest mile per hour.
Mathematics
1 answer:
nevsk [136]3 years ago
5 0
226 miles
2.5 hours

226/2.5
=90.4

90 miles/hour
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12.09 rounded to the first decimal place
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Sally finds a coin with a radius of 1.5 centimeters and a thickness of 0.25 cm. It has a measured mass of 18.54 grams. How can S
mote1985 [20]

Answer:

Silver

Step-by-step explanation:

Find the volume of the coin

<u>Volume of a cylinder</u>

\textsf{V}=\sf \pi r^2 h \quad\textsf{(where r is the radius and h is the height)}

Given:

  • r = 1.5 cm
  • h = 0.25 cm

Substituting given values into the formula to find the volume:

\sf \implies V=\pi (1.5)^2(0.25)

\sf \implies V=0.5625 \pi \:cm^3

Find the density of the coin given it has a measured mass of 18.54 g

<u>Density formula</u>

\sf \rho=\dfrac{m}{V}

where:

  • \rho = density
  • m = mass
  • V = volume

Given:

  • m = 18.54 g
  • \sf V=0.5625 \pi \:cm^3

Substituting given values into the density formula:

\implies \sf \rho=\dfrac{18.54}{0.5625 \pi}

\implies \sf \rho=10.49149385\:g\:cm^{-3}

Given:

  • \textsf{Density of Lead}=\sf 11.3\:g\:cm^{-3}
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Therefore, as \sf \rho=10.49\:g\:cm^{-3} the coin is made from silver.

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When sampling from a population, the sample mean will: Group of answer choices always be closer to the population mean as the sa
Radda [10]

Answer:

When sampling from a population, the sample mean will: be closer to the population mean as the sample size increases.

Step-by-step explanation:

The sample mean is not always equal to the population mean but if we increase the number of samples then the mean of the sample would become more and more closer to the population mean.

Usually the population size is very huge that is why we select a random sample from the population, care must be taken to ensure randomized sampling otherwise results would not be accurate. After that we have to make sure that the number of samples are enough for the given population size. The number of samples depends upon the shape of the population. If the population is normal than according to central limit theorem, a less number of samples would be enough to ensure normal distribution of sampling mean, otherwise a greater sample size will be required.

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What is the value of x if the sides of a equilateral triangle are x+9 , 3x-9 , and 2x
Yakvenalex [24]

Answer:

x=9

Step-by-step explanation:

The triangle is equilateral which means the sides are equal.

x+9 = 2x

Subtract x from each side

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0.8 times x is less than 0.6
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