All categories

2 years ago

What happens when a rational number is added to an irrational number

Mathematics

1 answer:

Whitepunk [10]2 years ago

6 0

The answer to your question is,

Each time they assume the sum is rational; however, upon rearranging the terms of their equation, they get a contradiction (that an irrational number is equal to a rational number). Since the assumption that the sum of a rational and irrational number is rational leads to a contradiction, the sum must be irrational.

-Mabel <3

You might be interested in

Solve system of equation 4b-2d=5, -2b+d=1

Fed [463]

Answer:

no solution

Step-by-step explanation:

3 0

3 years ago

Which of these is not a method used to calculate finance charges?

Nikolay [14]

Answer:

previous balance

Step-by-step explanation:

7 0

3 years ago

Read 2 more answers

If 2+2 is 4 then who ended up going to Adrian's kickback?

Naily [24]

Answer:

Uneducated people.

Step-by-step explanation:

Stay

School

Kids

6 0

2 years ago

Read 2 more answers

Suppose that a recent article stated that the mean time spent in jail by a first-time convicted burglar is 2.5 years. A study wa

4vir4ik [10]

Using the z-distribution, it is found that since the test statistic is greater than the critical value, it can be concluded that the mean length of jail time has increased.

At the null hypothesis, it is tested if the mean length of jail time is still of 2.5 years, that is:

$H_0: \mu = 2.5$

At the alternative hypothesis, it is tested if it has increased, that is:

$H_1: \mu > 2.5$

We have the standard deviation for the population, thus, the z-distribution is used. The test statistic is given by:

$z = \frac{\overline{x} - \mu}{\frac{\sigma}{\sqrt{n}}}$

The parameters are:

$\overline{x}$ is the sample mean.
$\mu$ is the value tested at the null hypothesis.
$\sigma$ is the standard deviation of the sample.
n is the sample size.

For this problem, the values of the parameters are: $\overline{x} = 3, \mu = 2.5, \sigma = 1.5, n = 26$

Hence, the value of the test statistic is:

$z = \frac{\overline{x} - \mu}{\frac{\sigma}{\sqrt{n}}}$

$z = \frac{3 - 2.5}{\frac{1.5}{\sqrt{26}}}$

$z = 1.7$

The critical value for a right-tailed test, as we are testing if the mean is greater than a value, with a significance level of 0.05, is of $z^{\ast} = 1.645$

Since the test statistic is greater than the critical value, it can be concluded that the mean length of jail time has increased.

A similar problem is given at brainly.com/question/24166849

5 0

2 years ago

Compute the requested operating costs as indicated, based on the preceding table and the following information. Choose the corre

Savatey [412]

You would need the table to figure this problem out, but here we go!

15000×.018= 270
15000×.020= 300
15000×.023= 345
270+300+345= $915

5 0

3 years ago