What is the difference between rational and irrational numbers? And we believe whole numbers are 0 and any number after it to the positive side. What are the negative numbers called, just integers? We are also a little confused about the difference in counting numbers and whole numbers, are they the same?

Answers

Answer 1

Answer: Definition:
Every rational number can be written as a fraction with whole numbers
on top and bottom. Irrational numbers can't.

Working method of recognizing them:
Any number that you can write down completely, on paper, using number digits without any symbols, is a rational number, whether you write it as a fraction or as a decimal.

Popular misconception:
A rational number doesn't necessarily produce a decimal that ends, and a decimal that never ends is not necessarily an irrational number.
Examples: 1/3, 1/7, 1/9, 1/11 are never-ending in decimal form.

Whole numbers are the positive integers and zero.

Counting numbers are the whole numbers without zero.

Integers are the whole numbers plus their negatives.

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PROVE: ((1+cosx)/sinx)+(sinx/cosx)=((cosx+1)/(sinx+cosx)). Idk what to do because I'm pretty sure the way I did it was wrong...

Answers

I'll take the picture.
$(1+cos\theta)/(sin\theta)+(sin\theta)/(cos\theta)=\frac{cos\theta+1}{sin\theta{cos\theta}}$
Multiply by $sin\theta{cos\theta}$ to get:
$(1+cos\theta)sin\theta=cos\theta+1$ , which means that $sin\theta=1$ , like wtf?
I guess you got to this result.
Btw, if it's an equation you get that $\theta=k\pi$ , for k integer.

5/12 - 2/5 in fraction form

Answers

5/12-2/5=25/60-24/60
1/60

the answer is 1/60

25/60-24/60
So, the correct answer is 1/60

Legalization of marijuana, Part 1. The 2010 General Social Survey asked 1,259 US res- idents: "Do you think the use of marijuana should be made legal, or not?" 48% of the respondents said it should be made legal. (a) Is 48% a sample statistic or a population parameter? Explain. (b) Construct a 95% confidence interval for the proportion of US residents who think marijuana should be made legal, and interpret it in the context of the data. (c) A critic points out that this 95% confidence interval is only accurate if the statistic follows a normal distribution, or if the normal model is a good approximation. Is this true for these data? Explain. (a) A news piece on this survey's findings states, "Majority of Americans think marijuana should be legalized. Based on your confidence interval, is this news piece's statement justified?

Answers

Answer:

see below

Step-by-step explanation:

(a) 48% is a sample statistic because it's based on the responses of 1,259 US residents. It's used to estimate a population parameter.

(b) We can calculate a 95% confidence interval for the proportion of US residents who support marijuana legalization. This interval provides a range, and we can be 95% confident that the true proportion falls within this range.

(c) The confidence interval calculation assumes the data follows a normal distribution. To use this method, we need a sufficiently large sample size, which is met in this case.

(d) To justify the news piece's statement that a majority of Americans support marijuana legalization, we need to check if the confidence interval includes values above 50%. If it does, then it supports the statement.

Why was Thomas Paine’s pamphlet so popular with the colonists?aThe goals were clear, and it used common language.

bIt proved that the colonists could rely on Britain.

cIt showed he was a highly educated man with lofty ideals.

dIt set up a government with multiple branches and balances.

Answers

Hello!

Paine's pamphlet was write in a persuasive prose and common language, to show to the colonists that they could fight for a best government.

Letter a)

hugs!

Answer:

A) Paine's pamphlet was write in a persuasive prose and common language, to show to the colonists that they could fight for a best government.

Is that the correct answer

Answers

yes that is the correct answer

10 to the power of 3 = 10 x 10 x 10 is correct

Solve the following equation. Then determine if the equation is an identity or a contradiction.2(3n + 3) - 9 = 6n

Answers

Let's solve the equation step by step:

1. Start with the equation: $2(3n+3)-9=6n$.

2. First, distribute the 2 on the left side of the equation:
$6n + 6 - 9 = 6n$.

3. Next, simplify the equation by combining like terms. The 6n on both sides can be canceled out:
$6 - 9 = 0$.

4. Simplify further:
$-3 = 0$.

Now, let's analyze the result:

The equation $-3 = 0$ is a contradiction. This means that there is no value of $n$ that will satisfy the equation. In other words, there is no solution to this equation.

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4x+11<23 solve this equation

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Which is another way to write 42+63?