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]
4. I am a multiple of 3, 4, 5, and 6. I am a factor of 120. Divided by 7, l leave a remainder of 4. Who am I?
Answer:
60
Step-by-step explanation:
Taking the LCM of 3, 4, 5 and 6 leaves us with;
LCM = 1 * 2 * 3 * 2 * 5
= 60
Since Dividing 60 by 7 leaves quotient 8 and remainder 4,
We know that we've found the number we're looking for.
--what is the value of 1/2÷6=
Answer:
0.833...
(3's are infinite)
Answer:
0.08333333333
.Step-by-step explanation:
0.5 divided by 6=0.08333333333
rounded: 0.083repeating
An amusement park studied methods for decreasing the waiting time (minutes) for rides by loading and unloading riders more efficiently. Two alternative loading/unloading methods have been proposed. To account for potential differences due to the type of ride and the possible interaction between the method of loading and unloading and the type of ride, a factorial experiment was designed. Use the following data to test for any significant effect due to the loading and unloading method, the type of ride, and interaction. Use α=α= .05.
Method 1 Method 2
Roller Coaster41434951
Type of RideScreaming Demon 52445046
Log Flume50464844
Method 1 Method 2
Roller Coaster
41
43
49
51
Type of Ride
Screaming Demon
52
44
50
46
Log Flume
50
46
48
44
Answer:
hello your question has some missing part and the table as it relates better to the question
set up the ANOVA table ( to 1 decimal if necessary )
Step-by-step explanation:
attached below is the image of the Analysis of variance using Minitab software
Attached below as well is the Require Anova table
Tell whether -2 is a solution of the inequality n-5<8
Answer:
-2 is a solution
Step-by-step explanation:
-2-5<8
-7<8
Answer:
-2 is a solution.
Step-by-step explanation:
negative 2 minus 5 is less than 8
negative 7 is less than 8
Simplify fully
x² – 9/3x²+8x-3 divided by x-3/x+2
Answer:
-(x(2x squared-8x+3))/(x-1)(x+3)
Step-by-step explanation:
This can't be simplified very far, but the answer is above. Hope it helps!
The simplified equation of x² – 9/3x²+8x-3 divided by x-3/x+2 is (x-3)(4x+1)/(3x-1)(x+2).
What is Simplification?Simplification is the process of replacing a mathematical expression by an equivalent one, that is simpler. Therefore,
WE need to simplify the given;
[tex]\dfrac{x^{2}-9 }{3x^{2} +8x-3}+\dfrac{x-3}{x+2}[/tex]
3x² + 8x - 3 = (3x - 1)(x + 3)
x² - 9 = (x - 3)(x + 3)
Then;
[tex]\dfrac{(x-3)(x+3)}{(3x-1)(x+3)} +\dfrac{x-3}{x+2} =\dfrac{(x+2)(x-3)(x+3)+(x-3)(x+3)(3x-1)}{(3x-1)(x+3)(x+2)}[/tex]
Therefore,
[tex]\frac{(x+2)(x-3)(x+3)+(x-3)(x+3)(3x-1)}{(3x-1)(x+3)(x+2)}=\frac{((x+3)(x-3)((x+2)+(3x-1)))}{(3x-1)(x+3)(x+2)}[/tex]
[tex]\dfrac{((x+3)(x-3)((x+2)+(3x-1)))}{(3x-1)(x+3)(x+2)}=\dfrac{(x-3)((x+2)+(3x-1))}{(3x-1)(x+2))}[/tex]
[tex]\dfrac{(x-3)((x+2)+(3x-1))}{(3x-1)(x+2))} = \dfrac{(x-3)(x+2+3x-1)}{(3x-1)(x+2)}[/tex]
[tex]\dfrac{(x-3)(x+2+3x-1)}{(3x-1)(x+2)}=\dfrac{(x-3)(4x+1)}{(3x-1)(x+2)}[/tex]
Hence, The simplified equation of x² – 9/3x²+8x-3 divided by x-3/x+2 is (x-3)(4x+1)/(3x-1)(x+2).
Learn more about simplification;
https://brainly.com/question/17579585
#SPJ2
lines A and B are parallel,lines x and y are transversals. if angle 2 is 57 degrees and angle 3 is 85 degrees,find the measure of angle 5 will mark brainest
Answer:
38Step-by-step explanation:
see attached
A number is equal to the difference of four times the number and 18
Answer:
X = 4x-18
Step-by-step explanation:
X = “a number”^^
long division help :)
I’m confused
Answer:
the answer is 27
i did this by doing 6 x 2 which is 12 so i then did 16 - 12 which is 4 then i add the 2 in it which is 42 i then did 6 x 7 which is 42 and thats 0
this is my statement and i did this on paper and got this right!
Answer:
27
Step-by-step explanation:
See photo below
FIRST RIGHT GETS BRAINLIEST
Answer:
Red is sus
Step-by-step explanation:
Answer: naah i think brown is sus he faked electrical vote him out
Step-by-step explanation:
What is (2n-9)-5(-2.4n+4)?
While shopping for clothes, Curtis spent $17 less that 2 times what Daniel spent. Curtis spent $15 dollars
What equation that can be used to determine how much Daniel spent is
Blank• - blank= blank
Answer:
$13
Step-by-step explanation:
15 x 2 =30 - 17 = 13
Find the value of x.
Answer:
x=16
Step-by-step explanation:
50+40=90
40-8=32
32/2=16
x=16
Answer:
x=16
Step-by-step explanation:
since it is a right triangle it is 90 degrees so 90-50-40
than do 40=8+2x and solve for x which is 16 :)
Solve the equation. If necessary, enter your answer as an reduced improper fraction.
h +9 = 16
Answer:
7
Step-by-step explanation:
It's seven because If you take 9 you just have to find the number that adds up to sixteen so in that case 6+9=16
PLEASE HELP!! Which equations represent a proportional relationship? If yes, give the constant of Proportionality.
Answer:
The constant of proportionality is the constant value of the ratio of two proportional quantities x and y, typically the equation is Y=KX.
Step-by-step explanation:
How do you do this question?
Answer:
(-11 + √165) / 22
Step-by-step explanation:
∑₂°° (1 + c)⁻ⁿ
= ∑₂°° (1 / (1 + c))ⁿ
= ∑₁°° (1 / (1 + c))ⁿ⁺¹
This is a geometric series with a₁ = 1/(1+c)² and r = 1/(1+c).
The sum of an infinite geometric series is:
S = a₁ / (1 − r)
Therefore:
11 = 1/(1+c)² / (1 − 1/(1+c))
11 = 1 / ((1+c)² − (1+c))
11 ((1+c)² − (1+c)) = 1
11 (1 + 2c + c² − 1 − c) = 1
11 (c + c²) = 1
11c² + 11c − 1 = 0
c = [ -11 ± √(11² − 4(11)(-1)) ] / 22
c = (-11 ± √165) / 22
c cannot be between -2 and 0, so c = (-11 + √165) / 22.
What percent is represented by this 20-square grid?
A bar diagram with 18 shaded squares and 2 unshaded squares.
%
Answer: This means 38% of the large square is shaded. Incorrect. There are 62 small unshaded squares out of the 100 in the large square, so the percent of the large square that is unshaded is 62%.
...
Example
Problem What percent of the grid is shaded?
Answer 23% of the grid is shaded.
2 more rows
Answer:
The answer is 90
Step-by-step explanation:
Since the shaded part fills in about 3/4 of the diagram, percent multiplied to be 100. please mark me brainliest
Solve the following system of equations using substitution or elimination. 4x-2y+3z=1
x+3y-4z=-7
3x+y+2z=5
PLEASE HELP !!!
[1] 4x - 2y + 3z = 1
[2] x + 3y - 4z = -7
[3] 3x + y + 2z = 5
Add -4 [2] to [1], and add -3 [2] to [3] to eliminate x :
-4 (x + 3y - 4z) + (4x - 2y + 3z) = -4 (-7) + 1
-4x - 12y + 16z + 4x - 2y + 3z = 28 + 1
[4] -14y + 19z = 29
-3(x + 3y - 4z) + (3x + y + 2z) = -3 (-7) + 5
-3x - 9y + 12z + 3x + y + 2z = 21 + 5
-8y + 14z = 26
[5] -4y + 7z = 13
Add 2 [4] to -7 [5] to eliminate y :
2 (-14y + 19z) - 7 (-4y + 7z) = 2 (29) - 7 (13)
-28y + 38z + 28y - 49z = 58 - 91
-11z = -33
z = 3
Plug this into either [4] or [5] to solve for y :
-4y + 7 (3) = 13
-4y + 21 = 13
-4y = -8
y = 2
Plug both of these solutions into either of [1], [2], or [3] to solve for x :
x + 3 (2) - 4 (3) = -7
x + 6 - 12 = -7
x = -1
choose 1 item to purchase. what is the greatest number of that item you can buy with a $10 and still receive change? how much change will you receive?
Answer:
Step-by-step explanation:
Is the line through points P(–3, –2) and Q(2, 3) perpendicular to the line through points R(10, –1) and S(15, –6)? Explain.
Answer:y = mx + b
(–6) = (4)(–1) + b
–6 = –4 + b
–2 = b
Step-by-step explanation:
HELP
The price of a necklace was increased by 10% to £121.
What was the price before the increase?
Answer:
108.90
Step-by-step explanation:
To find its price before the increase you say:
10% of 121 then the answer you subtract it from 121:
10 / 100 * 121 = 12.10
Then subtract 12.10 from 121
121-12.10= 108.90
So the price before the increase was 108.90
HOPE IT HELPED
18 ft = 6 yd
O True
O False
Help
Step-by-step explanation:
there is 3 feet in a yard
divide by 3
18 ÷ 3 = 6
true
square root of 1, 1/3, 2.5, square root of 2
Type the correct order of each item (eg. 1, 2, 3, etc):
2.5
square root of 1
square root of 2
1/3
Answer:
least to greatest: 1/3, sqrt 1, sqrt 2, 2.5
Step-by-step explanation:
sqrt 1 = 1
sqrt 2 = 1.41421356237 = 1.4
1/3 = 0.33
2.5 = 2.5
Halla el divisor común maximo 24 у 36
El máximo común divisor es 12
Por cierto, hablo inglés, así que estoy usando Google Translat. :)
NBA young boy to my lowest - you hurt me deep when I was down on my lowest I needed you ain’t gaf bout me growing
Answer:
The answer is 1/6
Step-by-step explanation:
This is the answer due to the fact that a dice has 6 sides meaning there is a 1 in 6 chance of rolling the different numbers
Answer:
[tex]the \: proberbility \: is \: \frac{2}{6} = \frac{1}{3} [/tex]
find the measure of angle b
If I had 50 magmortars and I got one shiny magmortar, how much would i have now???
Answer:
51 Magmortars!!!
Step-by-step explanation:
Hope this helps!!!
Answer:
you have 51
Step-by-step explanation:
if you have 50 and you get 1 more then your adding so you would do this
50+1=51
Find the product. Tell which strategy you used.
1. 5 X 7 X 20
2.
Answer:
The product is 700
Step-by-step explanation:
I just multiplied them If it correct plz give me brainliest thanks :)
A pole is 35 3/4 feet long. If 3/8 of the pole is underground,
then how many feet of the pole are above ground?
Answer: 22.34375
Step-by-step explanation:
35 and 3/4 is equal to 35.75
Therefore,
35.75 x (3/8) is equal to 13.40625 underground.
So 35.75 - 13.40625 = 22.34375 feet above ground
AYUDAAAAAAAAA PORFA NO LE ENTIENDO
Graph each function and determine the y-intercept, then use the graph to determine the approximate value of the given expression.
Y=3^x;3^1.2
A. 1;3.7
B. 1;2.9
C. 0;3.9
D. 0;3.5
Answer: Its A) 1 ; 3.7
Step-by-step explanation:i just took the practice on edge 2020