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
mr Goodwill [35]
3 years ago
8

Tax returns filed manually have a 20% chance of containing errors, while tax returns filed electronically have a 0.05% chance of

containing the same. If 2.7 million tax returns are filed each way, how many more erroneous manually filed returns will there be than erroneous electronically filed returns? a. 270,675 b. 538,650 c. 541,350 d. 269,325
Mathematics
2 answers:
EastWind [94]3 years ago
4 0

The difference between manually filed return and the electronically filed return is \boxed{538650}. Option (b) is correct.

Further Explanation:

Explanation:

The total tax return is 2.7 million.

The errors on the tax return for electronic filling are 0.05\%.

The errors on the tax return for manual filling are 20\%.

Number of errors in filing tax return manually can be calculated as follows,

\begin{aligned}{\text{Errors in manual filling}} &= 2700000 \times 20\%\\ &= 2700000 \times \frac{{20}}{{100}} \\&= 540000\\\end{alignd}

Number of errors in filing tax return electronically can be calculated as follows,

\begin{aligned}{\text{Errors in electronically filling}} &= 2700000 \times 0.05\% \\&= 2700000 \times \frac{{0.05}}{{100}} \\&= 1350 \\\end{aligned}

The difference in the errors can be calculated as follows,

\begin{aligned}{\text{Difference}} &= 540000 - 1350 \\&= 538650 \\\end{aligned}

The difference between manually filed return and the electronically filed return is \boxed{538650}. Option (b) is correct.

Learn more:

  1. Learn more about inverse of the function brainly.com/question/1632445.
  2. Learn more about equation of circle brainly.com/question/1506955.
  3. Learn more about range and domain of the function brainly.com/question/3412497

Answer details:

Grade: High School

Subject: Mathematics

Chapter: Tax and Returns

Keywords: Tax, returns, filed, tax return, 20%, chance, errors, electronically, 0.05%, containing errors, chance, same, 2.7 million, each way, manually, manually filed, erroneous, 270575, income tax, salary, tax on salary.

suter [353]3 years ago
3 0

Answer:

B) 538, 650

Step-by-step explanation:

Given:

Errors on tax returns filed manually  = 20%

Errors on tax returns filed electronically  = 0.05%

Tax return filled in each way = 2.7 million

Manual filing:

2,700,000 x 20% = 2,700,000*0.2 = 540,000

Electronic filing:

2,700,000 x 0.05% = 2, 700,000*0.0005 = 1,350


Error difference = 540,000 - 1,350 = 538,650

There will be 538,650 more erroneous tax returns filed manually than there are filed electronically.

Thank you.

You might be interested in
Events A1, A2 and A3 form a partiton of the sample space S with probabilities P(A1) = 0.3, P(A2) = 0.5, P(A3) = 0.2.
timurjin [86]

Answer:

Step-by-step explanation:

Given that events A1, A2 and A3 form a partiton of the sample space S with probabilities P(A1) = 0.3, P(A2) = 0.5, P(A3) = 0.2.

i.e. A1, A2, and A3 are mutually exclusive and exhaustive

E is an event such that

P(E|A1) = 0.1, P(E|A2) = 0.6, P(E|A3) = 0.8,

P(E) = P(A_1E)+P(A_2E)+P(A_3E)\\= \Sigma P(E/A_1) P(A_1) \\= 0.1(0.3)+0.5(0.6)+0.8(0.2)\\= 0.03+0.3+0.16\\= 0.49

P(A_1/E) = P(A_1E)/P(E) = \frac{0.3(0.1)}{0.49} \\=0.061224

P(A_2/E) = P(A_2E)/P(E) = \frac{0.5)(0.6)}{0.49} \\=0.61224

P(A_3/E) = P(A_3E)/P(E) = \frac{0.2)(0.8)}{0.49} \\=0.3265

4 0
3 years ago
Which of the following functions best describes this graph?
ValentinkaMS [17]

Answer: y=x^2+7x+10

Step-by-step explanation: apex

3 0
2 years ago
Select the symbol that accurately replaces the ? 1.01 ? 1.0009
Elena L [17]
<span> 1.01 > 1.0009 ????????</span>
4 0
3 years ago
Read 2 more answers
There are 135 people in a sport centre. 77 people use the gym. 62 people use the swimming pool. 65 people use the track. 27 peop
umka21 [38]

Answer:

The correct answer is \frac{2}{9}.

Step-by-step explanation:

There are 135 people in a sport centre.

Let the experiment be to pick a person from the sport centre who only uses exactly one of the facilities.

Total number of possible outcomes = 135

For the gym:

77 people use the gym.

27 people use the gym and the pool.

31 people use the gym and the track.

4 people use all three facilities.

Total number of people using only the gym are 77 - ( 27 + 31 + 4) = 15

For the swimming pool:

62 people use the swimming pool.

27 people use the gym and the pool.

23 people use the pool and the track.

4 people use all three facilities.

Total number of people using only the swimming pool are 62 - ( 27 + 23 + 4) = 8

For the tracks:

65 people use the track.

23 people use the pool and the track.

31 people use the gym and the track.

4 people use all three facilities.

Total number of people using only the tracks are 65 - ( 23 + 31 + 4) = 7

A person is selected at random.

Favorable outcomes = 7 + 8 + 15 = 30

Probability that the person uses exactly one of the facilities = \frac{Favorable}{Total} = \frac{30}{135}  = \frac{2}{9}.

5 0
3 years ago
On a science test, 2 points are deducted from a total of 100 points for each question answered incorrectly. Trevor scored an 84
CaHeK987 [17]

Answer:

8

Step-by-step explanation:

Using the equation in the directions (100-2x=84), we can find out how many questions Trevor got wrong on his Science test. First, we need to subtract 100-84=16 to find out how many points he lost. Trevor lost 16 points.  Now we can divide 16/2=8, to find out how many questions he got wrong. Trevor got 8 questions wrong on his test.

Hope this helps!

3 0
3 years ago
Other questions:
  • The equation T^2=A^3 shows the relationship between a planet’s orbital period, T, and the planet’s mean distance from the sun, A
    6·1 answer
  • What’s 3x+6y=12 in the form y=mx+b
    13·2 answers
  • Convert the mixed number to an improper fraction. enter your answer below using the slash mark ( / ) as the fraction bar
    13·1 answer
  • The model shows the addition expression 18 + 12.
    15·1 answer
  • Three consecutive odd numbers have a sum of 45. what is the greatest number?
    7·1 answer
  • A deck of 40 cards contains 20 blue and 20 red cards. Each color has cards numbered 1 to 20.
    15·1 answer
  • F (x) = 3x +2<br> fine the inverse of the function
    15·1 answer
  • Consider the following equation. x · y = z, where x &lt; 0 and y &gt; 0
    7·2 answers
  • Suppose you are investigating the relationship between two variables, traffic flow and expected lead content, where traffic flow
    8·1 answer
  • F(x) = x(x - 1)<br><br> g(x) = 3x<br> find (f*g)(6)
    14·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!