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
VMariaS [17]
3 years ago
10

Suppose that a state introduces a state income tax which will be at a flat rate of 3%. The state legislature wishes to estimate

how much money they will receive in taxes, and to do this they need to know the average income of residents of the state. Which information would be most useful, the mean income, the median income, or the mode of the incomes? Why?
Mathematics
1 answer:
Greeley [361]3 years ago
8 0

Answer:

The mean income is more useful

Step-by-step explanation:

If you know the mean income, then you can obtain the total income by multiplying for the total population. Once you know the total income, you can deduce the amount of money collected by multiplting the total income by 0.03.

Knowing the median income does only help you so much. The mediam income is only a parameter that says that 50% of the population earn less than that. However, if you dont know how much the richer people earn, you cant deduce how much from taxes will you collect. For a simplified example, the sets A = {1,3,18} and B = {1,3,4} have the same median, 3. however A sums a total of 22, while B only sums 8.

The mode of income alone is also not enough. Again, You can have a lot of salaries ranging from similar values, but if you dont know the exact value of other clusters of salaries, specifically the biggest ones, you will lack a lot of information. As a simplified example, the Sets A = {1,3,3,3,3,3,3, 7, 7,7} and B = {1,3,3,3,3,3,3,3,3,75} have both of them 3 as the most frequent number, however A has a mean of 4, while B has a mean of 10, despite having only 1 mayor cluster of numbers.

Is short, the mean is the bets way to determine the amount of rax collection, because it puts more realistic '<em>weights</em>' on higher income, and because it lets you obtain exact results for the total amount of income.

I hope this helped you!

You might be interested in
Find the area of the surface generated by revolving the curve about the axis y = 9-x^2
Nat2105 [25]

The area of the surface generated by revolving the curve about the axis y = 9-x² is 12π

<h3>What is a revolution on a graph? or curve?</h3>

Surfaces of revolution are graphs of functions f(x,y) that rely exclusively on the distance from the origin of the point (x,y).

Polar coordinates (r,) are one approach to discuss such surfaces. A "surface of revolution" is formed by rotating a curve around an axis.

Consider a curve with coordinates x and z in the "x0" half of the Euclidean plane.

<h3>What is the calculation justifying the above answer?</h3>

y = √(9-x²)

⇒ dy = (-2x)/2√9-x²)

= -x/√(9-x²)

Note that surface area (s) is given as:

\int\limits^b_a {2\pi y} √1 + (dy/dx)² dx

= 2\pi \int_{1}^{-1} √9-x² * √[1 + (-x)/√9-x²)]dx

= 2π \int_{1}^{-1}3dx
= 6π [x]₋¹₁

= 6π (1-(-1)

= 6π (2)

= 12π

Learn more about revolving on a curve:
brainly.com/question/2293431
#SPJ4

6 0
1 year ago
What is the answer to this problem
otez555 [7]
3 1/4 = 13/4
2 3/4 = 11/4

13/4 - 11/4 = 2/4 = 1/2
8 0
3 years ago
Read 2 more answers
If 4 peanut butter cups cost $0.96 and the peanut butter cups all cost the same amount, what is the price of each peanut butter
Oksanka [162]
We can set up an equation with x as the price of one cup:
4x=0.96
x=0.96/4=0.24

Each cup is $0.24

Hope this helped!
7 0
3 years ago
Read 2 more answers
Give an example of a point that is the same distance from (3, 0) as it is from (7, 0). Find lots of examples. Describe the confi
Artist 52 [7]

Supposse that the distance from the point (x,y) to the point (3,0) is equal to the distance from  (x,y) to the point (7,0). Then, by the formula of the distnace we must have

\sqrt{(x-3)^2 + (y-0)^2}=\sqrt{(x-7)^2 + (y-0)^2}

cancel the square root and the (y-0)^2's, and then expand the parenthesis to obtain

x^2 - 6x + 9 = x^2 - 14x + 49

then, simplifying we obtain

8x = 40

therfore we must have

x=5

this means that the points satisfying the propertie must have first component equal to 5. So we can give a lot of examples of such points: (5,0), (5,7),(5,1/2), (5,-10),.... The set of this points give us a straight line and the points (3,0) and (7,0) are symmetric with respect to this line.

3 0
3 years ago
Ashley is preparing for a horse riding competition. She has trained her horse for 6 hours and has completed 234 rounds. At what
Ludmilka [50]

Answer:

C.

38 rounds per hour

Step-by-step explanation:

7 0
2 years ago
Read 2 more answers
Other questions:
  • If 25 is 40% of a value, what is that value?
    13·1 answer
  • Please xplain if u answer
    6·1 answer
  • How do you simplify a fraction?
    5·1 answer
  • Please use Distribution
    14·1 answer
  • Steve is going to the prom. He has choice of black, white or red tuxedo, short
    8·1 answer
  • ABCD is a rectangle and AC=28. Find the length of AD
    6·1 answer
  • Work out the area of the parallelogram.<br> Not drawn<br> accurately<br> 13 cm<br> 79°<br> 21 cm
    12·1 answer
  • Pls solve~~~~~~~~~~~~~~~~~~~~~~~~​
    12·1 answer
  • HURRY PLS
    15·1 answer
  • Bill and his friends went to Red Robin. Their order consisted of 2 hamburgers t $ 1.75 each. They paid a 7% sales tax, and a 20%
    13·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!