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Karolina [17]
1 year ago
13

The volume of a cube is 27000 cubic inches. What is the length of one side?

Mathematics
1 answer:
anyanavicka [17]1 year ago
4 0

Given:

Volume of a cube = 27,000 in^3

(Note: A cube has equal sides)

The volume of a cube = a^3

So,

\begin{gathered} 27000=a^3 \\ \sqrt[3]{27000}\text{ = a} \\ a\text{ = 30 in.} \end{gathered}

Therefore, the lenght of one side is 30 inches.

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The Law of large numbers.

<h3>What is the Law of natural numbers?</h3>

The law of large numbers plays the main role in probability and statistics. It means that if you repeat an experiment independently so many times and average the result, what you get has to be close to the expected value.

An example of the Law of Large Numbers:

Let's assume that you rolled the dice three times and the outcomes were 6, 6, and 3. Then the average result is 5.

So, according to the law of the large numbers, if we roll the dice a large no. of times, then the average result should be closer to the expected value.

It also states that probability and statistics set a sample size that grows, and the mean of the sample size gets closer to the average of the entire population.

Learn more on the law of large numbers here:

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2 years ago
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What is the range of y=5(11)x
dem82 [27]

Answer:

Domain: ( − ∞ , ∞ ) ,  { x | x ∈ R}

Range: ( − ∞ , ∞ ) ,  { y | y ∈ R}

Step-by-step explanation:

We can simplify to understand how to answer the question better.

<em>5 * 11x = 55x</em>

<u>Function range definition:</u><u> </u>

The set of values of the dependent variable for which a function is defined.

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<u>So the solution is.. </u>

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<u>And the interval notation is..</u>

(- ∞. ∞)

7 0
3 years ago
Simplify the expression by combining like terms if possible. If not possible select already simplified. 4a^2+2a+4a^2-5
vichka [17]
So the expression is: 4 a^{2} + 2a + 4 a^{2} - 5

You can combine like terms, which are terms that contain the same variables raised to the same power. That means you can combine the two 4 a^{2}. 4 a^{2} + 4 a^{2} = 8 a^{2} The other terms can't be combined.

Your final answer should be 8 a^{2} +2a-5.
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Find the sum and express it in simplest form. (3a^2 + 2a) + (5a^-a -7) ​
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Answer:

8a^2+a-7

Step-by-step explanation:

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3 years ago
A survey is planned to estimate the proportion of voters who support a proposed gun control law. The estimate should be within a
laila [671]

Complete Question

A survey is planned to estimate the proportion of voters who support a proposed gun control law. The estimate should be within a margin of error of ±5% with 90% confidence, and we do not have any prior knowledge about the proportion who might support the law. How many people need to be included in the sample?

Round your answer up to the nearest integer.

sample size = _____

Answer:

The sample size is n = 271    

Step-by-step explanation:

From the question we are told that  

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Generally given that there was no prior knowledge about the proportion of who might support the law, we will assume the sample proportion to be  

     \^ p =  0.5

From the question we are told the confidence level is  90% , hence the level of significance is    

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Generally from the normal distribution table the critical value  of  \frac{\alpha }{2} is  

   Z_{\frac{\alpha }{2} } =  1.645

Generally the sample size is mathematically represented as  

    n = [\frac{Z_{\frac{\alpha }{2} }}{E} ]^2 * \^ p (1 - \^ p )

=>   n = [\frac{1.645 }{0.05} ]^2 * 0.5 (1 - 0.5 )

=>   n = 271    

5 0
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