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Complete Question

The chance of an IRS audit for a tax return with over $25,000 in income is about 2% per year. We are interested in the expected number of audits a person with that income has in a 9-year period. Assume each year is independent.

Find the probability that a person is audited more than twice. (Round your answer to four decimal places.)

Answer:

The probability is  [tex]P(X > 2) = 0.0007 [/tex]

Step-by-step explanation:

From the question we are told that

The  probability of an IRS audit for a tax return with over $25,000 in income is p= 0.02

The sample size  n  =  9

Generally the distribution of IRS audit for a tax return follows a binomial distribution  

i.e  

         [tex]X  \~ \ \ \  B(n , p)[/tex]

and the probability distribution function for binomial  distribution is  

      [tex]P(X = x) =  ^{n}C_x *  p^x *  (1- p)^{n-x}[/tex]

Here C stands for combination hence we are going to be making use of the combination function in our calculators  

Generally the probability that a person is not audited at all is mathematically

     [tex]P(X = 0) =  ^{9}C_0 *  (0.02)^0 *  (1- 0.02 )^{9-0}[/tex]

      [tex]P(X = 0) =  ^{9}C_0 *  (0.02)^0 *  (0.98 )^{9-0}[/tex]

       [tex]P(X = 0) =  0.8337[/tex]

Generally the probability that a person is  audited once  is mathematically

           [tex]P(X = 1) =  ^{9}C_1 *  (0.02)^1 *  (1- 0.02 )^{9-1}[/tex]

           [tex]P(X = 1) =  9*  (0.02)^1 *  (0.98 )^{8}[/tex]

            [tex]P(X = 1) =  0.1531[/tex]

Generally the probability that a person is  audited twice is mathematically represented

           [tex]P(X = 2) =  ^{9}C_2 *  (0.02)^2 *  (1- 0.02 )^{9-2}[/tex]

           [tex]P(X = 2) =  36 *  (0.02)^2 *  (0.98 )^{7}[/tex]

            [tex]P(X = 2) =  0.0125 [/tex]

Generally the probability that a person is audited more than twice is mathematically represented

     [tex]P(X > 2) =  1 - [P(X = 0 ) + P(X = 1 )+ P(X =2)] [/tex]

=>    [tex]P(X > 2) =  1 - [0.8337 + 0.1531+0.0125 ] [/tex]

=>    [tex]P(X > 2) = 0.0007 [/tex]

Answer: m∠GHK=80.5,

m∠KHJ=80.5

Step-by-step explanation:

Answer:

I would say both GHK and JHK equal 80.5 degrees. (if it is allowed with decimals).  

Step-by-step explanation:

Bisectors are lines that basically cut an angle in half. Since JHG is the whole angle, the bisector, HK, halves it. So, both GHK and KHJ should be the same, since they both are half of the original angle. As a result, 161 divided by 2 is 80.5 degrees.

Answer:

4.

Step-by-step explanation:

−5n+5=−15

Step 1: Subtract 5 from both sides.

−5n+5−5=−15−5

−5n=−20

Step 2: Divide both sides by -5.

−5n

−5

=

−20

−5

n=4

Can I have Brainlliest? Hope it helps.

Answer:

n=4

Step-by-step explanation:

Answer:

Each comic book is $3.30

Step-by-step explanation:

$21 divided by 6= $3.50

Answer:

Each comic book is $3.30

Step-by-step explanation:

$21 divided by 6= $3.50

Answer:

x=-7

Step-by-step explanation:

convert to decimals 0.5(x+3)=0.4(x+2)

simplify the brackets 0.5x+1.5=0.4x+0.8

isolate x to one side 0.1x=-1/7

divide both sides by 0.1 x=-7

Answer:

24 miles per gallon

Step-by-step explanation:

Answer:

The value in your hand is -18

let the value be x, then the equation is:

x = -8 + (-10)

x = - 8 - 10

x = - 10

the distance of the sum from -8 is the distance between -8 & -10, i.e -8 - (-10) = 2.

Answer:

i did

Step-by-step explanation:

Answer:

92

Step-by-step explanation:

89 x 5 = 445

85 + 92 + 81 + 95 = 353

445 - 353 = 92

The score of the fifth student is 92.

An average is a single number taken as representative of a list of numbers, usually the sum of the numbers divided by how many numbers are in the list.

Now it is given that,

Average of the five students = 89

Scores of four students = 85, 92, 81, and 95

Number of students = 5

Let the score of fifth student be x.

⇒Average of the five students = scores of five students/Number of students

∵scores of five students =Scores of four students + score of fifth student

∴scores of five students = 85+92+81+95+x

⇒scores of five students = 353+x

∴Average of the five students = (353+x)/5

⇒89 = (353+x)/5

or, 445 = 353+x

or, x = 445 - 353

⇒  x = 92

Hence, the score of the fifth student is 92

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Answer:

4.193

Step-by-step explanation:

you line up the decimals then subtract to get 4.193

Answer

You bought 7 paperbacks and 3 hardcovers.

Step-by-step explanation: This doesn't seem college level! Jokes aside, you solve this with a system of equations. Your first equation is 10 = p + h, where p stands for the number of paperbacks and h stands for the number of hardcovers. Your second equation is p = 3h - 2, meaning that the number of paperbacks is triple the number of hardcovers minus 2. Now, you just have to plug in p = 3h - 2 into your first equation, and you get 10 = (3h - 2) + h. 4h = 12, and h = 3, meaning the number of hardcovers must be 3. All you have to do now is subtract 3 from 10, and you have 7, which is the number of paperbacks!

Out of the total number of 10 books bought, there were 3 hardcovers and 7 paperbacks

Paperbacks are two less than three times the hardcovers. Assume the hardcovers are x, the paperbacks would be represented as:

= 3x - 2

Solving would give:

10 = Paperbacks + Hardcovers

10 = 3x - 2 + x

10 = 4x - 2

4x = 10 + 2

x = 12/4

x = 3 hardcovers

Paperbacks:

= 10 - 3

= 7

In conclusion, there are 3 hardcovers and 7 paperbacks.

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Answer:

Domain: all real numbers

Range: all real numbers

Answer:

Angle 1 = 95°, and Angle 2 = 60°

This is due to the definition of congruent polygons, where the corresponding angles, and sides are equivilent just as it is ordered.

Answer:

The answer to your question is:

Step-by-step explanation:

Data

A (8, 9)

B (-2, 4)

1. What is the slope of the line? Show your work

m = (y2 - y1) / (x2 - x1)

m = (4 - 9) / (-2 - 8)

m = -5 / - 10

m = 1/2

2. Write the equation of the line in point-slope form. Show your work

(y - y1) = m(x -x1)

(y - 9) = 1/2(x - 8)

3. Write the equation of the line in slope-intercept form.

(y - 9) = 1/2(x - 8)

y - 9 = 1/2x - 4

y = 1/2x - 4 + 9

y = 1/2x + 5

This work was done by joseaaronlara

Answer:

w=4

Step-by-step explanation:

[tex]A=lw[/tex]

[tex]40= (10)w[/tex]

[tex]\frac{40}{10} = \frac{10}{10}w\\w=4\\[/tex]

Answer:

361

Step-by-step explanation:

Answer:

41 miles

Step-by-step explanation:

the company is saying they will round the number of miles, and charge you that number

when rounding 40.8, you round up to 41

1,2,3,4 rounds down to 0

5,6,7,8,9 rounds up to the next 0 up

The required miles he will be charged for is 41 miles.

Given that,
A car rental service charges customers for the number of miles they travel rounded to the nearest whole mile George travels 40.8 miles
To determine how many miles will he be charged.

The rounding of values is superseding a number with an inexact value that has a more ephemeral, more uncomplicated, or more direct representation.

Here,
The customer traveled for 40.8 miles,
Now round it to the nearest whole miles, Since 40.8 where 0.8 is 0.2 near to the 1 so the round of 40.8 become 40.8 + 0.2 = 41

Thus, The required miles he will be charged for is 41 miles.

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Answer:

First off dang Katie you can eat. And the answer is 5

Step-by-step explanation:

She just gobbling them up like no tommrow

Answer/Step-by-step explanation:

The circle by your left:

(4x + 3y) + (2x - y)

Distribute +1

4x + 3y + 2x - y

Add like terms together

6x + 2y

The rectangle by at the bottom right:

(4x + 5y) - (x + 4y)

Distribute -1

4x + 5y - x - 4y

Group like terms

4x - x + 5y - 4y

3x + y

The circle at the bottom middle:

(2x - y) + (3x + y)

Distribute +1

2x - y + 3x + y

Group like terms

2x + 3x - y + y

5x

Answer:

B

Step-by-step explanation:

The equation is y=mx+b

Where m is the slope

And B is the y point of the y-intercept

Answer:

The answer is b to this question

Answer:

x<-1

Step-by-step explanation:

Answer:

8:12

Step-by-step explanation:

Another ratio that is equivalent to 4:6 would be 8:12;

   To find another ratio equivalent to another, simply find the multiples of the numbers that make up the ratio.

  Using 2 as multiplier;

   2 ( 4 : 6) = 8 : 12

I am sure of this because when we reduce both ratio to their lowest term, we get the same value;

               4: 6                       8: 12

 divide by 2               divide by 4

               2: 3                       2 : 3

Answer:The 1st one

Step-by-step explanation:

Answer: its the 4th one. even though its not in the picture, i know im correct because im doing the quiz right now

1. no

2. no

3. there's no rational factor

4. no

I'm probably wrong...

length=(2x-3)

width=(3x-5)

perimeter=26

perimeter= (2 times length) + (2 times width)

26= 2(2x-2) + 2(3x-5)

26 = 4x - 6 + 6x - 10

26 = 10x -16

26 + 16 = 10x -16 + 16

10 = 10x

10 ÷ 10 = 10x ÷ 10

1 = x

Answer:

3/5 is the number that can be distributed across two terms inside parentheses.

you might not need it but:

x = 5

Step-by-step explanation:

3/5(x - 10) = 18 - 4x - 1

using distributive property, open the parentheses:

3/5x - 6 = 18 - 4x - 1

Simplify:

3/5x + 4x = 17 + 6

4⅗x = 23

x = 5

Answer:

It's 3/5

Step-by-step explanation:

It's 3/5