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USPshnik [31]
3 years ago
7

Một khối kim loại có thể tích 3,2cm3 và cân nặng 22,4g. Hỏi một khối kim loại cùng chất có thể tích là 4,5cm3 cân nặng bao nhiêu

gam ?
Mathematics
1 answer:
Ymorist [56]3 years ago
6 0

Answer:

Một cm3 của khối kim loại đó cân nặng số gam là:

22,4:3,2=7(g)

Một khối kim loại cùng chất có thể tích là 4,5cm3 cân nặng số gam là:

7x4,5=31,5(g)

Step-by-step explanation:

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Find the least common denominator. Then express each fraction using the least common denominator.
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Answer:

THE LCM OF 15 AND 20 IS 60

1/60 AND 3/60

Step-by-step explanation:

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3 years ago
A newspaper carrier has $1.80 in change. He has two more quarters than dimes but three times as many nickels as quarters. How ma
Mazyrski [523]
1\ quarter=\$0.25\\1\ dime=\$0.10\\1\ nickel=\$0.05\\\\q\ \ \ \rightarrow\ \ \ the\ number\ of\ the\ quarters\\d\ \ \ \rightarrow\ \ \ the\ number\ of\ the\ dimes\\n\ \ \ \rightarrow\ \ \ the\ number\ of\ the\ nickels\\\\q=2d\ \ \ and\ \ \ n=3q\ \ \ \Rightarrow\ \ \ n=3\cdot 2d=6d\\\\q\cdot0.25+d\cdot0.10+n\cdot 0.03=1.80\\\\2d\cdot0.25+d\cdot0.1+6d\cdot0.05=1.8\\\\

0.5d+0.1d+0.3d=1.8\\\\0.9d=1.8\ \ \ \Rightarrow\ \ \ d=2\ \ \ \Rightarrow\ \ \ q=2\cdot2=4\ \ \ and\ \ \ n=6\cdot2=12\\\\Ans.\ 4\ quarters,\ 2\ dimes,\ 12\ nickels

3 0
3 years ago
Darren wants to estimate the mean age in a population of trees. He'll sample nnn trees and build a 90\%90%90, percent confidence
Alchen [17]

Using the z-distribution, as we have the standard deviation for the population, it is found that the smallest sample size required to obtain the desired margin of error is of 77.

<h3>What is a z-distribution confidence interval?</h3>

The confidence interval is:

\overline{x} \pm z\frac{\sigma}{\sqrt{n}}

In which:

  • \overline{x} is the sample mean.
  • z is the critical value.
  • n is the sample size.
  • \sigma is the standard deviation for the population.

The margin of error is given by:

M = z\frac{\sigma}{\sqrt{n}}

In this problem, we have that the parameters are given as follows:

M = 3, z = 1.645, \sigma = 16.

Hence, solving for n, we find the sample size.

M = z\frac{\sigma}{\sqrt{n}}

3 = 1.645\frac{16}{\sqrt{n}}

3\sqrt{n} = 1.645 \times 16

\sqrt{n} = \frac{1.645 \times 16}{3}

(\sqrt{n})^2 = \left(\frac{1.645 \times 16}{3}\right)^2

n = 76.97

Rounding up, the smallest sample size required to obtain the desired margin of error is of 77.

More can be learned about the z-distribution at brainly.com/question/25890103

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