Find the probability that a person is audited more than twice. (Round your answer to four decimal places.)
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]
Katie has 50 chickens she eats 90% how many chickens are left?
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
What is the value of x in the equation below? 1/3(12x-24)=16
2
6
8
10
The dimensions of a rectangular garden are: Length (2x + 3) and the width is (3x-5) Find the value of x if the perimeter is equal to 26.
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
help me please I will mark brainlyest
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
Solve the following inequality 4(3-3x)+4x>20
Answer:
x<-1
Step-by-step explanation:
ANSWER FAST PLZ FOR BRAINILIST
Answer:The 1st one
Step-by-step explanation:
What is the domain and range of the function Y=2x-4
Answer:
Domain: all real numbers
Range: all real numbers
Quick I need help pls
Answer:
361
Step-by-step explanation:
You purchase a total of 10 books. Some of the books are paperback and some are hardcover.
The number of paperbacks is two less than three times the number of hardcover books. How
many of each did you buy?
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.
Find out more at https://brainly.com/question/17082613.
Round 17.68694 to the nearest tenth
Answer:
17.7
Step-by-step explanation:
The tenths place is the very first value after the decimal. The number 17.68694 rounds up to 17.7, because .68 is closer to .7 than it is to .6.
PLEASE HELP!!!
Please help me answer the questions that are circled, I really need help!
Answer:
Here:
Step-by-step explanation:
23. f(x) = [tex]\sqrt{x}[/tex] and g(x) = [tex]x^2-5x[/tex]
24. f(x) = [tex]x^2[/tex] and g(x) = [tex]x^3+1[/tex]
28. f(x) = [tex]e^x[/tex] and g(x) = [tex]sinx[/tex]
29. f(x) = [tex]cosx[/tex] and g(x) = [tex]\sqrt{x}[/tex]
Basically, you try to find a function contained inside a function if that makes sense. For example in question 23, g(x) itself is a function = [tex]x^2-5x[/tex]. Same with f(x) = [tex]\sqrt{x}[/tex] . In this case, when we try to fo f(g(x)), we are basically replacing x in the f(x) function by the equation in g(x). Hope this makes sense.
What is the common ratio between successive terms in a sequence?
1.5, 1.2,0.96, 0.768, ...
9514 1404 393
Answer:
0.8
Step-by-step explanation:
The ratio of the first two terms is ...
1.2/1.5 = 4/5 = 0.8
That is also the ratio of successive adjacent terms.
0.96/1.2 = 0.768/0.96 = 0.8
The common ratio is 0.8.
what is the increase of y=26(0.904)x
for each heart there are 2 stars which model shows this relationship
Answer: its the 4th one. even though its not in the picture, i know im correct because im doing the quiz right now
Who got the answer for 3,7 and 9
Answer:
i did
Step-by-step explanation:
The total cost of a cab ride can be represented by the function f(x) = 3x + 2.5, where x is the number of miles driven
Estimate how much the cab will cost if the cab ride is 8 miles and 25 miles.
Answer:
8 miles: $26.50
25miles: $77.50
Step-by-step explanation:
Substitute (x) for the number of miles
8 miles: f(x)=3(8)+2.50
=24+2.50
=26.50
25miles: f(x)=3(25)+2.50
=75+2.50
=77.50
2. A line goes through the points, and . (a) What is the slope of the line? Show your work. (b) Write the equation of the line in point-slope form. Show your work. (c) Write the equation of the line in slope-intercept form. Show your work. Answer:
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
solving equations 1/2(x+3)=2/5(x+2)
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
The price of a train ticket is 155.00 What would it be if you had a 75% discount
Answer:116.25
Step-by-step explanation:
L=10 inches and A=40 square inches, solve A=lw
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]
What is 12 plus 364 divided by 2/7?
Answer:1316
Step-by-step explanation:
Answer:
thanks
Step-by-step explanation:
I want explaintationHELP ASAP!! WILL MARK BRAINLIEST!
Question 8 Multiple Choice Worth 5 points)
(03.04 MC)
Solve for x:
(-4/3) x -6 = 26
Answer:
X = -24
Step-by-step explanation:
Using the inverse:
26 + 6 = 32
x = 32 / (-4/3) = -24
a car rental service charges customers for the number of miles they travel rounded to the nearest whole mile George travels 40.8 miles how many miles will he be charged explain
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.
Learn more about round the decimal here;
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Rectangle A has length 12 and width 8. Rectangle B has length 15 and width 10.
Rectangle C has length 30 and width 15.
1. Is Rectangle A a scaled copy of Rectangle B? If so, what is the scale factor?
2. Is Rectangle B a scaled copy of Rectangle A? If so, what is the scale factor?
3. Explain how you know that Rectangle C is not a scaled copy of Rectangle B.
4. Is Rectangle A a scaled copy of Rectangle C? If so, what is the scale factor?
1. no
2. no
3. there's no rational factor
4. no
I'm probably wrong...
Solve for
-1/7x = -2
Answer: I hope this is correct -9
Step-by-step explanation: This is right
Expression for divide the difference between 1200 and 700 by 5
Step-by-step explanation:
(1200-700)/5
=500/5
=
The expression results to 100.
What is Expression?Mathematical statements are called expressions if they have at least two terms that are related by an operator and contain either numbers, variables, or both. Addition, subtraction, multiplication, and division are all possible mathematical operations.
A mathematical expression is a phrase that has a minimum of two numbers or variables and at least one mathematical operation.
Given:
divide the difference between 1200 and 700 by 5
so, mathematically
(1200- 700)/5
= 500 /5
= 100
Hence, the expression results to 100.
Learn more about expression here:
https://brainly.com/question/14083225
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A passenger car will go 372 miles on 15.5 gallons of gas in city driving. What is the rate in miles per gallon?
Answer:
24 miles per gallon
Step-by-step explanation:
In the diagram below, the expression in each circle is the result of the sum
of the two rectangles connected to it.
Complete the diagram, writing the expressions in their simplified form.
4x + 3y- rectangle
5x + 7y
x + 4y
4x + 5y
2x - y
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
The
perimeter of
rectangle is 36 cm
If its width is 7cm Exaluate to its length
Answer:
11
Step-by-step explanation: