Is 6.5892 a rational or irrational number

Answers

Answer 1
Answer:

The number, 6.5892 , given that it ends, which fits the definition, is therefore a rational number.

What are rational numbers ?

A rational number is a number that can be expressed as a fraction of two integers, where the denominator is not 0. 6.5892 can be expressed as the fraction 65892/10000, which is a simplified fraction with an integer numerator and denominator.

An irrational number is a number that cannot be expressed as a fraction of two integers. Examples of irrational numbers include pi (π) and the square root of 2.

A simple reminder, Rational numbers can be written as fractions. Irrational numbers cannot be written as fractions.

Find out more on rational numbers at brainly.com/question/19079438

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Answer 2
Answer: 6.5892 is a irrational number

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How does the number of solutions of a system depend on ranks of the coefficient matrix and the augmented matrix?

Answers

Answer:

The number of solutions of a system is given by the number of different variables in the system, this number has to be the same as the number of independent equations. The coefficients and the augmented matrix of the system show these values in a matrix form. A system has a unique solution when the rank of both matrixes and the number o variables in the system are the same.

Step-by-step explanation:

For example, the following system has 2 different variables, x and y.

x+y=1\nx+2y=5

In order to find a unique solution to the system, the number of independent equations and variables in the system must be the same In the previous example, you have 2 independent equations and 2 variables, then the solution of the system is unique.  

The rank of a matrix is the dimension of the vector generated by the columns, in other words, the rank is the number of independent columns of the matrix.  

According to Rouché-Capelli Theorem, a system of equations is inconsistent if the rank of the augmented matrix is greater than the rank of the coefficient matrix. The inconsistency of the system is because you can't find a combination of the variables that will solve the system.

Jane will rent a car for the weekend. She can choose one of two plans. The first plan has no initial fee but costs $0.80 per mile driven.The second plan has an initial fee of $70 and costs an additional $0.30 per mile driven. How many miles would Jane need to drive for
the two plans to cost the same?

Answers

I wish I knew,I’ve been trying to figure out

In a study of 788 randomly selected medical malpractice​ lawsuits, it was found that 494 of them were dropped or dismissed. Use a 0.05 significance level to test the claim that most medical malpractice lawsuits are dropped or dismissed.Which of the following is the hypothesis test to be conducted?
A.
Upper H 0 : p less than 0.5
Upper H 1 : p equals 0.5
B.
Upper H 0 : p greater than 0.5
Upper H 1 : p equals 0.5
C.
Upper H 0 : p equals 0.5
Upper H 1 : p not equals 0.5
D.
Upper H 0 : p equals 0.5
Upper H 1 : p less than 0.5
E.
Upper H 0 : p not equals 0.5
Upper H 1 : p equals 0.5
F.
Upper H 0 : p equals 0.5
Upper H 1 : p greater than 0.5
What is the test statistic?
Z =
(Round to two decimal places as needed.)
What is the conclusion about the null hypothesis?
A. Reject the null hypothesis because the P-value is greater than the significance level, alpha.
B. Fail to reject the null hypothesis because the P-value is less than or equal to the significance level, alpha.
C. Fail to reject the null hypothesis because the P-value is greater than the significance level, alpha.
D. Reject the null hypothesis because the P-value is less than or equal to the significance level, alpha.
What is the final conclusion?
A.There is sufficient evidence to support the claim that most medical malpractice lawsuits are dropped or dismissed.
B.There is not sufficient evidence to support the claim that most medical malpractice lawsuits are dropped or dismissed.
C.There is sufficient evidence to warrant rejection of the claim that most medical malpractice lawsuits are dropped or dismissed.
D.There is not sufficient evidence to warrant rejection of the claim that most medical malpractice lawsuits are dropped or dismissed.

Answers

Answer:

Step-by-step explanation:

A. Upper H 0 : p equals 0.5

Upper H 1 : p not equals 0.5

B. Using the tests promotion formula, we have (p - P) / √P(1-P)

Where p (sample promotion) = 494/788 = 0.6269, P (population proportion) = 0.5,

(0.6269 - 0.5) / (√0.5(1-0.5))

0.1269/ √(0.5 (0.5))

0.1269/ √0.25

0.1269/0.5

Test statistics is equal to 0.2538

C. We will use the p value to determine our result, thus the p value at 0.05 level of significance is 0.79965, thus we fail to reject the null hypothesis because the P-value is greater than the significance level, alpha.

Then we conclude that There is not sufficient evidence to support the claim that most medical malpractice lawsuits are dropped or dismissed.

Prove that the diagonals of a rectangle bisect each other.Plan: Since midpoints will be involved, use multiples of __ to name the coordinates for B, C, and D.




2


4


1


3

Answers

Answer:

2

Step-by-step explanation:

example A(2a,0),B(2b,0)

C(2b,2c),D(2a,2c)

mid point of AC=((2a+2b)/2,(0+2c)/2)=(a+b,c)

mid point of BD=((2b+2a)/2,(0+2c)/2)=(a+b,c)

∴midpoint of diagonals same or diagonals bisect each other.

8 is to 32 as 9 is to N? What is N?

Answers

We have given 8 is to 32 as 9 is to N. After figuring that 4 is multiple,  So, the value of N is 36.

What is the unitary method?

The unitary method is a method for solving a problem by the first value of a single unit and then finding the value by multiplying the single value.

We have given 8 is to 32 as 9 is to N.

We need to find the value of N.

8 times 4 is 32.

After figuring that 4 is multiple,

We can see that multiplying 9 by 4 gives the N.

9 times 4 is 36.

So, the value of N is 36.

Learn more about the unitary method;

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36, 8 times 4 is 32. After figuring that 4 is the multiple, you would multiply 9 by 4 giving you the N.

Plz help I'll give u 20 points​

Answers

Answer:

It's the second choice.

Step-by-step explanation: