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2 years ago

The difference of a rational number and an irrational number is _[blank]_ a rational number.

Mathematics

2 answers:

balu736 [363]2 years ago

8 0

Never a rational number

Galina-37 [17]2 years ago

4 0

Answer:

Never

Step-by-step explanation:

A Rational Number is a number of the form $\frac{p}{q}$ , p & q are integers and q ≠ 0.

An irrational number is all real number except rational numbers i.e. it is a non-repeating and non-terminating decimal number or it can not be expressed in a ratio of two integers.

Further, Natural numbers can be a rational number.

Also, all repeating and terminating decimals are rational.

The difference of rational number and irrational number is never a rational number. For example:

2 - √3 is always an irrational number where 2 is rational and √3 is an irrational number.

Hence addition and subtraction of rational and irrational number is never a rational number it will be irrational number always.

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syeda has finished 20% of her math assignment. The assignment includes 50 problems how many problems has syeda completed?

Nostrana [21]

Answer:

10 problems

Step-by-step explanation:

This is the answer because:

1) We have to solve for what 20% of 50 is since she finished 20% of her test:

20% of 50 = 10

$\frac{2}{10}$ × $\frac{50}{1}$ = $\frac{100}{10}$ = 10

Therefore, the answer is 10 problems.

Hope this helps! :D

5 0

3 years ago

What is the answer to 1.97 x 10^3 =

Gelneren [198K]

<h2>Answer:</h2><h2>1970</h2><h2 /><h2>Hope this helps!!</h2>

6 0

2 years ago

Assume a researcher recruits 150 African American and Caucasian individuals taking warfarin to determine if there is a differenc

Anettt [7]

Answer:

Z=11.0

Step-by-step explanation:

Let Caucasian individuals be the population 1 and African American be the population 2. So, we are given that

n=150

n1=75

mean1=xbar1=6.1.

standard deviation1=S.D1=σ1=1.1.

Variance1=V(x1)=σ1²=1.1²=1.21.

n2=75.

mean2=xbar2=4.3.

standard deviation2=S.D2=σ2=0.9.

Variance2=V(x2)=σ2²=0.9²=0.81.

The z-statistic is

$Z=\frac{xbar1-xbar2}{\sqrt{\frac{V(x1)}{n1}+ \frac{V(x2)}{n2} } }$

$Z=\frac{6.1-4.3}{\sqrt{\frac{1.21}{75}+ \frac{0.81}{75} } }$

$Z=\frac{1.8}{\sqrt{0.0161+ 0.0108 } }$

$Z=\frac{1.8}{\sqrt{0.0269 } }$

$Z=\frac{1.8}{0.164 } }$

Z=10.97

Z=11.0

So, the z value obtained while calculating the test statistic is approximately 11.0.

4 0

3 years ago

Use the Pythagorean theorem to obtain the function D(x) for the length of the diagonal of a double square of width x.

Yuri [45]

Answer:

$D(x)= x\sqrt{2}$

Step-by-step explanation:

Given

$Side = x$

Required

Represent the diagonal as a function

Using Pythagoras theorem, the diagonal is:

$D^2= Side^2 + Side^2$

Substitute x for Side

$D^2= x^2 + x^2$

$D^2= 2x^2$

Take the square root of both sides

$D= \sqrt{2x^2$

Split

$D= \sqrt{2} * \sqrt{x^2$

$D= \sqrt{2} * x$

$D= x\sqrt{2}$

Express as a function.

$D(x)= x\sqrt{2}$

4 0

3 years ago

Twelve out of 18 students in Mrs. Marlin's class buys pizza for lunch on Fridays.at this rate,if there are 240 students in the e

Studentka2010 [4]

First, divide 240 by 18 to find how many times 18 goes into 240

240/18=14 (rounded up from the original 13.3 repeating decimal because it has to do with people and you cant have a partial human and there is more than .0 there)

then multiply the number of people who do get pizza by that number

12*14=168

8 0

3 years ago