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]
Calculating Rate of change
Answer/Step-by-step explanation:
We are given the following coordinates of two points on the line of the graph shown in the question as: A(2, 1) and B(4, 2)
Vertical change from point A = [tex] y_2 - y_1 = 2 - 1 = 1 [/tex]
Horizontal change from point A = [tex] x_2 - x_1 = 4 - 2 = 2 [/tex]
Rate of change = [tex] \frac{y_2 - y_1}{x_2 - x_1} = \frac{1}{2} = 0.5 [/tex]
9. A candle has an initial height of12 inches. Sara lights the candle and it begins to melt at an average rate of 0.5
inch per hour. Which function can be used to find the height of the candle inches after x hours?
A) H(X) = 0.5(x +12) B) H(x) = -0.5(x +12) C)H(x) = 12 +0.5x
+
D) H(X) = 12 -0.5x
1 Pt
А.
B
D
E
Answer:
D
Step-by-step explanation:
h(x)=12-0.5x
x=hour
Lex be a random variable that represents the pH of arterial plasma (le, acidity of the blood). For healthy adults, the mean of the distribution is - 7.4.1 A new drug for arthritis has
been developed. However, it is thought that this drug may change blood pH. A random sample of 31 patients with arthritis took the drug for 3 months. Blood tests showed that x = 8.6 with
sample standard deviations - 2.7. Use a 5% level of significance to test the claim that the drug has changed (either way) the mean pH level of the blood.
USE SALT
(a) what is the level of significance?
what is the value of the sample test sisse? (Round your answer to three decimal places)
Answer:
2.304
Step-by-step explanation:
plz help me find x!!!!!!!!!!!!!!!!
Answer:
A: 45
B: 110
C: 25
Step-by-step explanation:
all angles of a triangle always add together to make 180
x + 25 + x + 65 = 180
combine like terms
2x + 90 = 180
subtract 90 from both sides of the equation
2x = 180 - 90
divide both sides of the equation by 2
x = 90/2
x = 45
10b - 2 = 7b - 7.4 NEED ASAP!!!!!!!
Answer:
b=−1.8
Step-by-step explanation:
Skyler solved an equation incorrectly, as shown below:
Step 1: 12 + x = 36
Step 2: x = 36 + 12
Step 3: x = 24
Which statement best explains why Step 2 is incorrect in Skyler's solution?
Answer:
Step 2 is incorrect.
Step-by-step explanation:
It's incorrect because I'm pretty you need to do inverse operation. To get 24 you must subtract, not add.
A student uses the following steps to prove the sine sum identity. The proof is incorrect. Which steps is incorrect
Answer:
4
Step-by-step explanation:
The incorrect step is Step 4, cos (π/2 -x) cos(-y) + sin (π/2 -x)sin(-y), the correct option is C.
What is Trigonometric Identity?Trigonometric Identities are based on the trigonometric ratios used to solve Trigonometric equations.
The steps used to solve the trigonometric identity are :
Step 1 : sin(x+y)
Step 2: cos ((π/2) - (x+y))
Step 3 : cos ( (π/2 -x) -y)
Step 4 : cos (π/2 -x) cosy + sin (π/2 -x)siny
Step 5: sinxcosy+cosxsiny
Therefore,the correct step is cos (π/2 -x) cosy + sin (π/2 -x)siny and not cos (π/2 -x) cos(-y) + sin (π/2 -x)sin(-y) , the incorrect step is Step 4.
The complete question is attached with the answer.
To know more about Trigonometric Identity
https://brainly.com/question/12537661
#SPJ2
help me solve please.
Angle b= 61, angle c=57, and =2x what does x =
Answer:
can you provide more information
Step-by-step explanation:
Which set of ordered pairs does not represent a function?
Group of answer choices
{(6, 0), (-9, 5), (1, -5), (0, 0)}
{(4, 6), (6, 8), (3, 2), (-6, 8)}
{(-9, -7), (-8, -7), (8, 2), (9, -5)}
{(-8, 6), (-8, 5), (-9, 4), (-5, 3)}
Answer:
the last one
Step-by-step explanation:
No points on a function can have the same x value, can you give me brainliest
Keith 1,342 cupcake rounds to 1,300 and joe 1,347 cupcake rounds to 1,350 who round to the nearest hundred?
Answer:
Keith
Step-by-step explanation:
When you are rounding to the nearest hundred it would NOT include a tens or ones value. So in this case 1,300 would be correct.
Hope that helps and have a great day!
can someone please help me
64 because 4 turns into -8 -8 turns into 16 and 16 turns into -32 so it must be 64
help me please
*I select an answer, but I don't know if it's right or wrong*
Answer:
yes your answer it right.... brainliest plsss
PLZ HELP THIS IS DUE SOON!!!!!!! Divide. Round to the nearest hundredth if necessary.
To the nearest hundredth, 80.88÷8.425 is_______
Answer:
10
Step-by-step explanation:
when you divide 80.88 by 8.425 you get 9.6
and since youre rounding, you can round up 6 because its higher than 5
and your final answer should be 10.
hoped this helped! :)
The fraction 24/28 In simplest form is____.
12/14
48/56
6/9
6/7
Answer:
6/7
Step-by-step explanation:
Answer:
6/7
Step-by-step explanation:
divide it by 4
What is the solution (x,y) to the system of equations given? 2 x + 4 y = − 16 2x+4y=−16 2 y − x = = 16 2y−x==16
Answer:
(-12,2)
Step-by-step explanation:
2x + 4y = -16
2y - x = 16
Multiply the bottom part by 2.
2x + 4y = -16
4y - 2x = 32
Add the equations and the answers to the equations up, and they will equal each other.
(2x + 4y) + (4y - 2x) = -16 + 32
8y = 16
y = 2
Plug y = 2 to the 2nd equation.
2*2 - x = 16
4 - x = 16
Subtract 4 from both sides.
-x = 12
Multiply both sides by -1.
x = -12
-21x^2+35x=0
Solve for x
Answer:
Step-by-step explanation:
exact form: x=63/5
The midpoint of a line segment is (−3,2). One endpoint of the line segment is (4,−7).
What are the coordinates of the other endpoint of the line segment?
Answer:
The other endpoint is (9, −6)
Step-by-step explanation:
(x1,y1)=(3,2) and M=(6,−2)
x1+x22=x and y1+y22=y
3+x22=6 and 2+y22=−2 ←×2
3+x2=12 and 2+y2=−4
x2=9 and y2=−6
The coordinates of the other endpoint of the line segment are [tex]Y(x,y) = (-10, 11)[/tex].
Vectorially speaking, the midpoint of a line segment is determined by the following expression:
[tex]M(x,y) = \frac{1}{2}\cdot X(x,y) + \frac{1}{2}\cdot Y(x,y)[/tex] (1)
Where:
[tex]M(x,y)[/tex] - Midpoint.[tex]X(x,y)[/tex], [tex]Y(x,y)[/tex] - Endpoints of the line segment.If we know that [tex]M(x,y) = (-3, 2)[/tex] and [tex]X(x,y) = (4, -7)[/tex], then the coordinates of the other endpoint is:
[tex]\frac{1}{2}\cdot Y(x,y) = M(x,y) -\frac{1}{2}\cdot X(x,y)[/tex]
[tex]Y(x,y) = 2\cdot M(x,y) -X(x,y)[/tex]
[tex]Y(x,y) = 2\cdot (-3,2)-(4,-7)[/tex]
[tex]Y(x,y) = (-6, 4) - (4, -7)[/tex]
[tex]Y(x,y) = (-10, 11)[/tex]
The coordinates of the other endpoint of the line segment are [tex]Y(x,y) = (-10, 11)[/tex].
We kindly invite to check this question on midpoints: https://brainly.com/question/17506315
It cost Emma $5.34 to send 178 text messages. How much does each text cost to send?
Answer:
approximately $0.33
Step-by-step explanation:
you just do 178/5.34
7th grade math help me pleasee
Answer:
a, c, b
Step-by-step explanation:
ITS CORRECT TRUST MEEE
help!!!
3 Peter measured the width of a room as 28 feet
and the length as 17 feet. About how many
square feet does the room cover?
Area = length X width
first pirson to type 1 i will see if i can give brainlist but idk how bot i will try
Answer:
1
Step-by-step explanation:
you asked to type 1
Help me pleaseeeeee!!
If Micah save $150 how much money will his parents give him
Answer:
$300
Step-by-step explanation:
150/5 = 30, 30 x 10 = 300
A group of students formed a circle during a game. The circumference of the circle was about 43.96 feet, and the diameter of the circle was 14 feet.
Which expression best represents the value of
π
?
A.
43.96
7
B.
43.96
14
C.
7
43.96
D.
14
43.96
Answer:
pi = pi
Step-by-step explanation:
Circumference = 2 * pi * r
Equation you need:
43.96 = 2 * pi * 7
43.96 = 2 * 7 * pi
43.96 / 14 = pi
pi = 3.14
A line contains points M(1, 3) and N(5, 0). What is the slope of MN?
Answer:
-3/4
Step-by-step explanation:
y2-y1/x2-x1
0-3/5-1
A line contains points M(1, 3) and N(5, 0). The slope of MN is -3/4.
What is the slope of the line?A line's slope provides information on the steepness and direction of the line. By calculating the difference between the coordinates of the two locations, (x1,y1) and (x2,y2), it is simple to calculate the slope of a straight line between them.
The slope, m, of the line, is calculated through the equation,
The formula used to find the slope is,
m = (y2 - y1)/ (x2 - x1)
Where (x1, y1) and (x2, y2) are the points
The given points on the line are:
M(1, 3) and N(5, 0)
Substituting it in the formula,
m = (0 - 3)/ (5 - 1)
m = -3/4
Therefore, the slope of MN is -3/4.
Learn more about the slope of the line here:
https://brainly.com/question/14511992
#SPJ7
Which of the following is a radical equation?
a. x StartRoot 3 EndRoot = 13
b. x + StartRoot 3 EndRoot = 13
c. StartRoot x EndRoot + 3 = 13
d. x + 3 = StartRoot 13 EndRoot
Answer:
the answer is D
Step-by-step explanation:
Here is a figure that looks like the letter A, along
with several other figures. Which figures are scaled
copies of the original A?
Figure 2 as it is the same as original but bigger
Please help,
Determine which is the graph of the given function. f(x) 2x if < - 2 2x - 2 if - 2 < x < 2 -2 if x > 2
Answer:
C
Step-by-step explanation:
Answer:
C
Step-by-step explanation:
what came in the mail today
Answer:
me
Step-by-step explanation:
A bunch of bills for spectrum tv