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4 years ago

Rational or irrational

Mathematics

2 answers:

Law Incorporation [45]4 years ago

7 0

Hello, I am papaguy Your answer is ready!

Answer: A rational number is any number that can be expressed as a whole number, a fraction, or as a non repeating decimal. Otherwise, it is an irrational number.

19/5: it is a rational number because it is in fraction form

√12: this is an irrational number

√49: this is a rational number because when you simplify this you will get the answer 7, that is a whole number.

0.3425563758: This is a decimal, hence, this is rational.

4/25 : it is a fraction so it is a rational number.

√1/8: this is an irrational number

√0.6¯: this is an irrational number

Mark Brainliest if your happy with my answer.

Your Pal Papaguy

Brilliant_brown [7]4 years ago

3 0

√12 irrational = 2 sqrt (3)

19/5 irrational cannot be simplified

√49 rational = 7

0.3425563758 if this is the last number rational if this continues irrational

√4/25 rational 2/5

√1/8 irrational = 1/(2sqrt(2))

0.6 rational

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Identify the degree of the polynomial 6xy^2 - xy + 8 + 12y

Nady [450]

Answer:

The degree of this polynomial is 3.

Step-by-step explanation:

The degree of a polynomial is the highest degree of its individual terms (also known as the monomials) which have a non-zero coefficient.

Here in this case, we have the following polynomial:

$6xy^2 - xy + 8 + 12y$

Each term has degree equal to the sum of the exponents on the variables. So for a term with two variables has the highest degree: $6xy^2$

1 for x and 2 for y: 1 + 2 = 3

Therefore, the degree of this polynomial is 3.

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3 years ago

You can copy the data into Excel by highlighting the data, right-clicking and selecting Copy, then opening Excel, clicking on a

Iteru [2.4K]

Answer:

Low income group :

Mean = 22.100

Median = 22.000

Standard deviation = 4.717

High Income group :

Mean = 19.771

Median = 20.000

Standard deviation = 3.255

Step-by-step explanation:

Low income : 19,20,13,28,21,27,16,21,19, 19,34,24, 24,14,24,25,23,22,20,21,14,23,17,26,24,24,20,24,27,16,22,17,29,20,25,22,20,34,24,22

High Income : 23 19 19 18 20 18 17 25 13 24 25 17 21 19 17 22 22 15 19 23 19 23 22 20 20 20 13 21 16 13 21 24 23 21 20

Using Excel :

Mean of low income, Σx / n = 884/40 = 22.100

Median of low income group : 1/2(n+1)th term = Median of low income = 22.000

Standard deviation of low income group :

√(Σ(x - mean)²/n) = 4.717

High Income group :

Mean of high income, Σx / n = 692/35 = 19.771

Median of high income group : 1/2(n+1)th term = Median of high income = 20.000

Standard deviation of low income group :

√(Σ(x - mean)²/n) = 3.255

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3 years ago

A population has mean 187 and standard deviation 32. If a random sample of 64 observations is selected at random from this popul

Zina [86]

Answer:

11.51% probability that the sample average will be less than 182

Step-by-step explanation:

To solve this question, we have to understand the normal probability distribution and the central limit theorem.

Normal probability distribution:

Problems of normally distributed samples are solved using the z-score formula.

In a set with mean $\mu$ and standard deviation $\sigma$ , the zscore of a measure X is given by:

$Z = \frac{X - \mu}{\sigma}$

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

Central Limit theorem:

The Central Limit Theorem estabilishes that, for a random variable X, with mean $\mu$ and standard deviation $\sigma$ , a large sample size can be approximated to a normal distribution with mean $\mu$ and standard deviation $s = \frac{\sigma}{\sqrt{n}}$