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3 years ago

Identify the two rational numbers 2.7182818459, 2.777777, square root 3, -7/3

Mathematics

2 answers:

Tasya [4]3 years ago

6 0

Answer:

2.777777 and -7/3

Step-by-step explanation:

2.7182818459 cannot be written in fraction form therefore it is irrational.

2.777777 is rational because it can be written as the fraction 25/9

The square root of 3 is 1.7320508075688772, this number cannot be written as a fraction so it is irrational.

-7/3 is rational because it is already in fraction form.

Ganezh [65]3 years ago

4 0

Answer:

2.777777 and -7/3

Step-by-step explanation:

If a number can be defined in the form of p/q where q≠0, then it is called rational number.

If a decimal number is repeating then it is a rational number because it can be written in the form of p/q.

For example: 1.222, 3/5, 2.5, -1/2, 4.0707007...

All real numbers which are not rational numbers are called irrational numbers.

For example: 0.2357835.., √2, π.

In the given numbers,

Rational numbers = 2.777777, -7/3

Irrational numbers = 2.7182818459 and √3

Therefore the two rational numbers are 2.777777 and -7/3.

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3 years ago

Domain and range of the inequality y<√x+3 +1

Margaret [11]

The domain of the given inequality is y>1.

<h3>What is Inequality?</h3>

An inequality is a relation which makes a non-equal comparison between two numbers or other mathematical expressions.

Here, given inequality:

y < $\sqrt{x+3}+1$

Related equation:

y = $\sqrt{x+3}+1$

The equation defined as,

x+3 > 0

x > -3

In the given inequality, the sign of inequality is <, it means the points on the boundary line are not included in the solution set. Thus, -3 is not included in the domain.

So, the domain of the given inequality is x>-3.

We know that,

$\sqrt{x+3} \geq 0$

adding 1 on both sides, we get

$\sqrt{x+3} + 1 \geq 1$

y ≥ 1

The points on the boundary line are not included in the solution set. Thus, 1 is not included in the range.

Thus, the domain of the given inequality is y>1.

Learn more about Inequality from:

brainly.com/question/20383699

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2 years ago

A market research team compiled the following discrete probability distribution, where X represents the number of automobiles ow

rodikova [14]

Answer:

The standard deviation of X is 0.7

Step-by-step explanation:

We are given the following distribution:

x: 0 1 2 3

P(x): 0.3 0.5 0.2 0.4

We have to find the standard deviation of X.

Formula:

$E(x) = \displaystyle\sum x_iP(x_i)\\\\E(x) =0(0.3) + 1(0.5) + 2(0.2) + 3(0.4)\\\\E(x) = 2.1\\\\E(x^2) = \displaystyle\sum x_i^2P(x_i)\\\\E(x^2) =0(0.3) + 1(0.5) + 4(0.2) + 9(0.4)\\\\E(x^2) = 4.9\\\\Var(x) = E(x^2) - (E(x))^2 = 4.9-(2.1)^2 = 0.49\\\\\sigma(x) = \sqrt{Var(x)} =\sqrt{0.49} = 0.7$

Thus, the standard deviation of X is 0.7

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3 years ago