Posted in Mathematics

Natural numbers-counting numbers: 1,2,3,4,5…

whole numbers- natural numbers and zero

integers- whole numbers and negative numbers

ratioal numbers, number that can be written in form a/b where b≠0

irrational numbers- rational numbers and numbers that can’t be written in form a/b, example is pi

real numbers is all of the above

complex numbers is none of the above, like √-1

so
-20 is an integer, a ratioal number, a real number


Related Questions

Posted in Mathematics

Prove that A is in the subset B if P(A) is in the subset P(B)

Show that if p(a) ⊂ p(b) then a ⊂ b. 

I will assume p() means power set. 

proof: let x∈a, then {x} ∈ p(a) and so by hypothesis {x} ∈ p(b). However {x} could not be in p(b) unless x∈b. This shows that each element of a is an element of b and hence a ⊂ b.

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Posted in Mathematics

Given that D(x) = 2x, select all of the following that are true statements. D(x) is a function. x is the dependent variable. D(6) = 3 D(x) is a direct variation. D(x) is a rule for the set of points (5, 10), (6, 12) and (-2, -4).

D(x) is a function. TRUE. It is a function of x.x is the dependent variable. FALSE. x is the independent variable because the function is expressed in terms of the independent variable.D(6) = 3. FALSE. D(6) = 2(6) = 12. D(6) should be equal to 12.D(x) is a direct variation. TRUE. This holds true to the definition of direct variation where one variable is related to the other variable at the same constant multple. In this case, it is 2.D(x) is a rule for the set of points (5, 10), (6, 12) and (-2, -4). TRUE. If you replace x with the first coordinate, the function would be equal to the corresponding second coordinate.

Posted in Mathematics

If the ordinate equals the abscissa and x ∈ {-3, 0, 12}, which of the following sets of ordered pairs satisfies the given conditions? {(3, -3), (0, 0), (-12, 12)} {(-3, 3), (0, 0), (12, -12)} {(-3, -3), (0, 0), (12, 12)}

For point with coordiantes (x,y), the abscissa is the x-coordinate and the ordinate is the y-coordinate. So, all you have to do is match the given x values with the second term inside the parenthesis. Also, the x values must also be the same as given. From the choices, the answer is {(-3, -3), (0, 0), (12, 12)}

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Posted in Mathematics

Given: 3x 0} {x | x 1}

Answer:

The correct option is 3.

Step-by-step explanation:

The given inequality is

3x<3

To solve the inequality, we have to isolate the variable x.

Divide both sides by 3 to solve the given inequality.

frac{3x}{3}<frac{3}{3}

x<1

The value of x is less than 1. So, the solution set of the given inequality is

{x | x < 1}

Therefore the correct option is 3.

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The following data set is sorted in ascending order: 1, 2, 3, 4, 5, 6, 101, 102, 103, 104, 105 The median of this data is 6 and the mean is 48.7. Which of these two measures will change the most if the outlier -600 is added to the list? A. The median B. The mean C. Cannot be determined

In statistics, the mean is the average of all data. You sum up all the data and divide to the number of data. Median, on the other hand, is just the middle term of the data when arranged from least to most.

So the measure that would change most is the mean. The new mean would be -5.82. While the new median would just move to the next data point which is 101.

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Posted in Mathematics

33. What are the minimum, first quartile, median, third quartile, and maximum of the data set? 18, 20, 11, 10, 8, 6, 12, 4

Given raw data: {18, 20, 11, 10, 8, 6, 12, 4} 
ordered data: {4, 6, 8, 10, 11, 12, 18, 20} 

minimum = 4 
maximum = 20 
median = (10 + 11) / 2 = 10.5 
first quartile is median of: {4, 6, 8, 10} or 7 
third quartile is median of: {11, 12, 18, 20} or 15 

now perform the same steps on the second set of data values 
{60, 50, 130, 200, 180, 150, 100, 140}

I hope my answer has come to your help. Thank you for posting your question here in Brainly. We hope to answer more of your questions and inquiries soon. Have a nice day ahead!

Posted in Mathematics

Calculating the Estate Tax. Joel and Rachel are both retired. Married for 50 years, they’ve amassed an estate worth $2.4 million. The couple has not trusts or other types of tax-sheltered assets. If Joel or Rachel dies in 2008, how much federal estate tax would the surviving spouse have to pay, assuming that the estate is taxed at the 45 percent rate?

Answer:

federal tax which has to be paid by the spouse is equal to $1,080,000

Step-by-step explanation:

estate worth of Joel and Rachel = $2.4 million

                                                      = $2,400,000

estate is taxed at = 45 %

the amount of tax which spouse have to pay is

= dfrac{45}{100}times 2,400,000

= $1,080,000

hence the federal tax which has to be paid by the spouse is equal to $1,080,000

Posted in Mathematics

Assume the line of best fit for a data set is given by y=22x+32. What data points are predicted by the line of best fit? Check all that apply. a.(10,480) b.(5,142) c.(8,208) d.(7,154)

Hi. You have to do trial and error with each of the choices to see which of those apply. They are points on the given function y=22x+32 that lie on point (x,y). Just substitute the x-and y values to the function.

a. (10,480) => x = 10, y = 480
     y = 480 = 22(10) + 32
     480 = 252 (does not apply)

b. (5,142) => x = 5, y = 142
     y = 142= 22(5) + 32
     142 = 142 (apply)

c. (8,208) => x = 8, y = 208
     y = 208 = 22(8) + 32
     208 = 208 (apply)

d. (7,154) => x = 7, y = 154
     y = 154 = 22(7) + 32
     154 = 186 (does not apply)

The answer is B and C.

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Posted in Mathematics

Factor the equation 4x^2-20x=1

It seems that you have mistakenly typed the wrong equation which is supposed to be 4x^2 – 20x = 0.
So given the correct equation, the factor for this one would be this:
4x(x-5) = 0
So let us check.
4x (x) = 4x^2
4x (-5) = -20x
Which makes it 4x^2-20x = 0
I hope this answer helps. 

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