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MA_775_DIABLO [31]
3 years ago
11

All whole numbers are also rational numbers?

Mathematics
1 answer:
KATRIN_1 [288]3 years ago
3 0
Yes all whole numbers are also rational number because they can be represented as a ratio of itself and 1, or as ratio of two other whole numbers.

For example:

4 =    8 / 2

4 = 4 /1

-3 = -9 / 3

1 = 1 / 1

3 = 3 / 1
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How many cubes with the side length of 1/2 unit do you need to form a three unit cube
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Answer:

216 cubes.

Step-by-step explanation:

The easiest way to take on this problem is to divide the side of the bigger cube by the smaller one.

3 \div  \frac{1}{2}  = 3 \times 2 = 6

Then, as in with volume, we cube this value to find the number of cubes necessary to fill such a space.

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3 years ago
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4 years ago
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Answer:

p-value = 0.1277

Step-by-step explanation:

p-value is the probability value tell us how likely it is to get a result like this if the Null Hypothesis is true.

Firstly we find the mean and standard deviation of the given data set.

⇒ Mean = \frac{4.41 +4.37+ 4.33+ 4.35 +4.30 +4.39 +4.36+ 4.38+ 4.40+ 4.39}{10}

⇒ Mean = 4.368

Standard deviation(\sigma) = \sqrt{\frac{1}{n}\sum_{i=1}^{n}{(x_{i}-\bar{x})^{2}} }

where, \bar{x} is mean of the distribution.

⇒ Standard Deviation = 0.034

Applying t- test:

Let out hypothesis is:

H₀: μ = 4.35

H₁: μ ≠ 4.35

Now,

Here, μ = Population Mean = 4.35

\bar{x}= Sample Mean = 4.368

σ = Standard Deviation = 0.034

n = 10

t=\frac{\bar{x}-\mu}{\frac{\sigma}{\sqrt{n}} }

Putting all values we get, t = 1.6777 with (10 -1) = 9 degree of freedom.

Then the p-value at 99% level of significance.

⇒ p-value = 0.1277

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4 years ago
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Factor (x^6-64)(x+3)
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Hope this helps you

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