1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Nat2105 [25]
2 years ago
15

Joaquin writes the following list of numbers.

Mathematics
1 answer:
swat322 years ago
6 0

From the given list of numbers, the numbers that are:

rational are 26, -3/2, 0, and 9.

irrational are 5.737737773..., and √45.

Any number that can be written in the form of p/q, where p and q are integers, and q ≠ 0, are called rational numbers.

All terminating and non-terminating recurring decimals are rational numbers.

All the numbers that cannot be represented in the rational form of p/q are irrational numbers.

All non-terminating non-recurring decimals are irrational.

All square roots of imperfect square numbers, that is, surds, are irrational numbers.

In the question, we are asked to classify the given list of numbers into rational and irrational numbers.

  • 5.737737773...: It is an irrational number, since its a non-terminating non-recurring decimal.
  • 26: It is rational as it can be represented in the p/q form (26/1).
  • √45: It is irrational as it is a square root of an imperfect square number, that is, it is a surd.
  • -3/2: It is rational as it is in the form p/q.
  • 0: It is rational as it can be represented in the p/q form (0/1).
  • 9: It is rational as it can be represented in the p/q form (9/1).

Thus, from the given list of numbers, the numbers that are:

rational are 26, -3/2, 0, and 9.

irrational are 5.737737773..., and √45.

Learn more about rational and irrational numbers at

brainly.com/question/14994517

#SPJ9

The provided question is incorrect. The correct question is:

Joaquin writes the following list of numbers.

5.737737773..., 26, √45, -3/2, 0, 9.

Which numbers are rational?

Which numbers are irrational?

You might be interested in
Factor the GCF: 21x3y4 + 15x2y2 − 12xy3.
-Dominant- [34]
Ugh, these questions.

21x^3y^4 + 15x^2y^2 - 12xy^3

3xy^2 (7x^2y^2 + 5x - 4y)

Clearing up clutter...

3xy² (7x²y² + 5x - 4y)

That's your answer.  Thanks for working my brain. ;)
6 0
3 years ago
Read 2 more answers
Help asap! Brainliest + a lot of points! <br><br> Answer and explain!
Alborosie

The three important about the box and whisker plot is that it shows median, LIQ (Low interquartile), UIQ (Upper Interquartile), the lowest and highest number

3 0
3 years ago
A simple random sample of items resulted in a sample mean of . The population standard deviation is . a. Compute the confidence
Varvara68 [4.7K]

Answer:

(a): The 95% confidence interval is (46.4, 53.6)

(b): The 95% confidence interval is (47.9, 52.1)

(c): Larger sample gives a smaller margin of error.

Step-by-step explanation:

Given

n = 30 -- sample size

\bar x = 50 -- sample mean

\sigma = 10 --- sample standard deviation

Solving (a): The confidence interval of the population mean

Calculate the standard error

\sigma_x = \frac{\sigma}{\sqrt n}

\sigma_x = \frac{10}{\sqrt {30}}

\sigma_x = \frac{10}{5.478}

\sigma_x = 1.825

The 95% confidence interval for the z value is:

z = 1.960

Calculate margin of error (E)

E = z * \sigma_x

E = 1.960 * 1.825

E = 3.577

The confidence bound is:

Lower = \bar x - E

Lower = 50 - 3.577

Lower = 46.423

Lower = 46.4 --- approximated

Upper = \bar x + E

Upper = 50 + 3.577

Upper = 53.577

Upper = 53.6 --- approximated

<em>So, the 95% confidence interval is (46.4, 53.6)</em>

Solving (b): The confidence interval of the population mean if mean = 90

First, calculate the standard error of the mean

\sigma_x = \frac{\sigma}{\sqrt n}

\sigma_x = \frac{10}{\sqrt {90}}

\sigma_x = \frac{10}{9.49}

\sigma_x = 1.054

The 95% confidence interval for the z value is:

z = 1.960

Calculate margin of error (E)

E = z * \sigma_x

E = 1.960 * 1.054

E = 2.06584

The confidence bound is:

Lower = \bar x - E

Lower = 50 - 2.06584

Lower = 47.93416

Lower = 47.9 --- approximated

Upper = \bar x + E

Upper = 50 + 2.06584

Upper = 52.06584

Upper = 52.1 --- approximated

<em>So, the 95% confidence interval is (47.9, 52.1)</em>

Solving (c): Effect of larger sample size on margin of error

In (a), we have:

n = 30     E = 3.577

In (b), we have:

n = 90    E = 2.06584

<em>Notice that the margin of error decreases when the sample size increases.</em>

4 0
3 years ago
What is the value of x? 6x - 2x = 16
agasfer [191]

6x - 2x = 16

4x = 16    |divide both sides by 4

<h3>x = 4</h3>
5 0
3 years ago
Read 2 more answers
Convert 4500g to kilograms
Mazyrski [523]
To convert it to kilograms, you just divide by 1000 because 1000 grams are in a kilogram, so 4500 ÷ 1000 = 4.5kg. I hope this helps!
6 0
3 years ago
Read 2 more answers
Other questions:
  • What is the slope of the line represented by the equation y=x/4-€
    5·1 answer
  • 3       x<br> ---- + ----<br> x-3 x+3 <br><br> how do I solve this?
    6·1 answer
  • write an equation that involves multiplication, contains a variable, and has a solution of 5. then write another equation that h
    15·2 answers
  • OMG PLEASE HELP DOG
    13·1 answer
  • In a random sample of n1 = 162 males, there are x1 = 63 people that have blue eyes. In a random sample of n2 = 333 females, ther
    6·1 answer
  • How to solve -3(1+6r)=14-r
    10·1 answer
  • Find the equation for the circle with center (4,-5) and passing through (5,-4)
    13·1 answer
  • Which graph represents y=square root of x
    14·1 answer
  • What am I supposed to do here? I could use some help.
    5·1 answer
  • Luisa is saving money to buy a new laptop computer that costs $460 . She started with $110 and every month she saves $25 . Her s
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!