Answer:
45
Step-by-step explanation:
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 16-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 that a person is audited more than twice is 0.0037 .
Step-by-step explanation:
We are given that 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 16-year period
Now we are supposed to find the probability that a person is audited more than twice.
So, We will use binomial distribution
So, Probability of success =p= 2% = 0.02
So, Probability of failure = q=1-0.02=0.98
n = 16
Now we are supposed to find the probability that a person is audited more than twice i.e. [tex]P(x \geq 2)[/tex]
So, [tex]P(x \geq 2)= 1-(P(x=0)+P(x=1)+P(x=2)[/tex]
Formula :[tex]^nC_x p^x q^{n-x}[/tex]
So,[tex]P(x \geq 2)= 1-(^{16}C_0 {(0.02)}^0 {(0.98)}^{16-0}+^{16}C_1 {(0.02)}^1 {(0.98)}^{16-1}+ ^{16}C_2 {(0.02)}^2 {(0.98)}^{16-2})[/tex][tex]P(x \geq 2)= 1-(\frac{16!}{0!(16-0)!} {(0.02)}^0 {(0.98)}^{16-0}+\frac{16!}{1!(16-1)!} {(0.02)}^1 {(0.98)}^{16-1}+\frac{16!}{2!(16-2)!} {(0.02)}^2 {(0.98)}^{16-2})[/tex]
[tex]P(x \geq 2)= 1-(0.9963)[/tex]
[tex]P(x \geq 2)= 0.0037[/tex]
Hence the probability that a person is audited more than twice is 0.0037 .
Please help due today!
Answer:
answer is 7y+20
Step-by-step explanation:
We take x as the value that is missing the equation of BC is 7y+x
Total =13y+25
8y+5+7y+x=13y+25
8y+7y+5+x=13y+25
13y+5+x=13y+25
13y-13y+x=25-5
X=20
Write the quadratic equation whose roots are 2 and -1, and whose leading coefficient is 1
Answer:
y² - y - 2
Step-by-step explanation:
Quadratic functions can be solved using the roots. To solve for roots, we set the two factors equal to zero and solve for the variable. So, we are going to reverse that here.
y + 2 = 0
y = -2
y - 1 = 0
y = 1
Then, we know our factors are (y - 2) and (y + 1), so we just FOIL these.
(y - 2)(y + 1)
y² + 1y - 2y - 2
y² - y - 2
This would be our final equation.
Write an equation to represent the following: Describe a real world situation the equation could represent 8 more than 4 times a number is 28.
Answer:
12+16
Step-by-step explanation:
well if your using the number for and eight then do 2x8=16 that would be using the 8 and with number 4 you would do 4x3=12 and if you use those to which are 12+16 it equals 28
Answer: 4x+8
Step-by-step explanation: I know that bc I have a homework question just like this.
Luke and evie are twins. At birth, Luke was 6 3/10 pounds at birth and evie was 5 9/10 pounds. What was their combined birth weight?
Determine the x and y intercepts
I kinda need help thanks
Answer:
move 2 to the w×2 box and then move 8 to the anwser
The sequence 2,6,10,14 has a constant of
Answer:
4
Step-by-step explanation:
It is a constant growth of 4.
A contractor is given a scale drawing of a rectangular patio. The scale from the patio to the drawing is 4ft to 1in. What is the area of the actual patio?
Answer:
170 ft²
Step-by-step explanation:
Given:
Patio drawing of 4.25 in by 2.5 in
Scale of Patio to its drawing = 4ft to 1 in
Requires:
Area of actual Patio
SOLUTION:
Area of actual Patio = area of a rectangle = length × width
Given a scale drawing of 4ft to 1 in, therefore:
Length of actual Patio = 4.25 × 4 = 17 ft
Width of actual Patio = 2.5 × 4 = 10 ft
Therefore:
Area of actual Patio = 17 ft × 10 ft = 170 ft²
Answer:
170ft
Step-by-step explanation:
Hope this helps! (:
which polynomial is equivalent to x^2 + 2x-8 ?
Carly is ordering calendars online. Each calendar costs $12, with a one-time shipping fee of $15. Which equation can be used to find the total cost, 1. of ordering n calendars? A n= 12t + 15 OB. n = 15t + 12 Oct = 12n + 15 D. t = 15n +12
Answer:
12n + 15= t
Step-by-step explanation:
This might be hella late sorry
Pre-Algebra
Ms. Ryan's class has 35 students. She needs to choose a team of 8 students for a
school competition. How many possible ways are there to select the team?
Answer:
b) 202
Step-by-step explanation:
just took the quiz :D
If NQZ ~ CBK, find BK
Look at picture
Answer:
the answer is 65
Step-by-step explanation:
2x+7/27 = 4x + 1/45
45(2x + 7) = 27(4x + 1)
90x + 315 = 108x + 27
108x-90x = 315-27
18x = 288
x = 288/18
x = 16
BK = 4x + 1
BK = 4(16) + 1
BK = 64 + 1
BK = 65
The value of the variable 'x' is 8/7. Then the length of the side BK will be 5.57 units.
What is the triangle?The polygonal shape of a triangle has a number of sides and three independent variables. Angles in the triangle add up to 180 °.
The ratio of the matching sides will remain constant if two triangles are comparable to one another.
The triangle ΔNQZ is similar to the triangle ΔCBK. Then the ratio of the corresponding side will remain constant. Then the equation is given as,
BK / QZ = KF / TZ
(2x + 7) / (4x + 1) = 45 / 27
(2x + 7) / (4x + 1) = 5/3
Simplify the equation, then we have
(2x + 7) / (4x + 1) = 5/3
6x + 21 = 20x + 5
14x = 16
x = 8/7
The length of the side BK is calculated as,
BK = 4x + 1
BK = 4(8/7) + 1
BK = 32/7 + 1
BK = 39/7
BK = 5.57 units
The value of the variable 'x' is 8/7. Then the length of the side BK will be 5.57 units.
More about the triangle link is given below.
https://brainly.com/question/25813512
#SPJ5
8. What is the solution to the equation 3x + 5(4x-6)-8= 3x - 14? a. x = 1 b. r = 1.7 d. There are no solutions to this equation.
3x+5(4x-6)-8=3x-14
Step-by-step explanation:
Cancel out the terms on both sides of the equation. (3x)
5(4x-6)-8=-14
Distribute 5 through the parentheses.
20x-30-8=-14
Calculate the difference.
20x-38=-14
Move the constant to the right-hand side and change its sign.
20x=-14+28
Calculate the sum.
20x=24
Divide both sides of the equation by 20.
x=6/5, 1.2, or 1 1/5
Answer:
x=6/5, 1.2, or 1 1/5
Hope this helps! :)
1. Why is 9.6 Rational
2. Find an irrational number that is between 9.5 and 9.7. Explain why it is irrational. Include the decimal approximation of the irrational number to the nearest hundredth.
Use the given endpoint R and midpoint M of RS to find the coordinates of
the other endpoint S.
R(8,0),M(4,-5)
Answer: I need help
Step-by-step explanation:
Which fraction below is "already simplified"? **1 is the greatest common 20 points factor to go into each. O 8/40 8/64 O 27/40 9/72
Answer:
27/40
Step-by-step explanation:
what is conductive reasoning?
Answer:
Conductive arguments have multiple independent premises that are convergent, that don't depend or rely on each other. Each premise counts separately in support or against the conclusion. If one or more premises were removed from the argument, the argument would still stand.
Step-by-step explanation:
Can someone plz help me i'm stuck on this
Answer:
Step-by-step explanation:
b·b·b= b³
The manager of a computer retails store is concerned that his suppliers have been giving him laptop computers with lower than average quality. His research shows that replacement times for the model laptop of concern are normally distributed with a mean of 4.2 years and a standard deviation of 0.6 years. He then randomly selects records on 38 laptops sold in the past and finds that the mean replacement time is 3.9 years. Assuming that the laptop replacement times have a mean of 4.2 years and a standard deviation of 0.6 years, find the probability that 38 randomly selected laptops will have a mean replacement time of 3.9 years or less.
Answer: 0.0010
Step-by-step explanation:
Given the following :
Population Mean(m) = 4.2 years
Sample mean (s) = 3.9
Standard deviation (sd) = 0.6
Number of samples (n) = 38
Calculate the test statistic (z) :
(sample mean - population mean) / (sd / √n)
Z = (3.9 - 4.2) / (0.6 / √38)
Z = (- 0.3) / (0.6 / 6.1644140)
Z = -0.3 / 0.0973328
Z = - 3.0822086
Z = - 3.08
From the z table :
P(Z ≤ - 3.08) = 0.0010
If f(x) = 3x - 1 and g(x) = x + 2, find (f + g)(x).
Answer:
fx+gx=4x+1
Step-by-step explanation:
what is i^15 for imaginary numbers
Answer:
1^15 is 15
Step-by-step explanation:
If I anyone can help with 1 and 2 that would help
Answer:
(1) Simplified fraction:
[tex]\frac{63}{100}[/tex]
(2) simplified fraction
[tex]\frac{61}{20}[/tex]
tell me if it helps.
Carolyn sells homemade candles. Write an expression for her total revenue if she sells x candles for $5 each
Answer:
I think it would be X x 5 = Y
Step-by-step explanation:
The required expression for total revenue is 5x.
What is amount?Amount is the multiplication of total number of quantities and total price.
Amount= number of quantity×price
Given that,
Total number of candles Carolyn sell = x,
Price of one candle = $5.
To find total revenue,
Total amount = price of one candle × total number of candles
Total amount = 5x
The required expression is 5x.
To know more about Amount on:
https://brainly.com/question/16629663
#SPJ2
If ABC ~DEC, b=2x, x=48°, and D=74°
Answer:
X=29
Step-by-step explanation:
48+74+2x=180
Solve for x by Isolating the variable by dividing each side by factors that don't contain the variable.
Then the answer turns out to be 29.
pts sorray
I really just need point
justin purchased dog food for his cocker spaniel. he bought 9 cans at a price of 3 cans for $1.28. how much did justin pay.
Answer:
$3.84 for 9 cans
Step-by-step explanation:
Since the unit price is 3 for $1.28, all we need to do is multiply.
1.28 * 3 = $3.84
Best of Luck!
Answer:$3.84
Step-by-step explanation:
If 3 cans are $1.28, and Justin bought 9 cans of dog food, you need to multiply $1.28 by 3, since 9 cans is 3 cans times 3 orders.
please quick. will mark brainliest .Write the equation of a vertical line that passes through the point (–4, 4).
Answer:
a vertical line is represented by x = a number, with that number being the x coordinate of ur points.
so ur answer is : x = - 4
Step-by-step explanation:
Answer: x=-4
Step-by-step explanation:
Simplify 12- (3r -23) +8r
Answer:
-7
Step-by-step explanation:
1. Get rid of the brackets: 12-3r +23+8r
2. move the like terms to one side of the equation: -3r+8r = -23-12
3. Simplify: 5r = -35
4. divide both sides by 5: r= -7
PLS HELP
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Answer:
[tex]=729x^{30}[/tex]
Step-by-step explanation:
So we have the expression:
[tex](3x^5)^6[/tex]
To simplify, we can use the product of a power property, where:
[tex](ab)^x=a^xb^x[/tex]
So, our expression will be equal to:
[tex]=(3)^6(x^5)^6[/tex]
Let's evaluate 3⁶, which equates to:
[tex]=729(x^5)^6[/tex]
For our x, we can use the power of a power property, where:
[tex](x^a)^b=x^{ab}[/tex]
So, our expression is:
[tex]=729x^{5(6)}[/tex]
Evaluate:
[tex]=729x^{30}[/tex]
And we're done!
A zookeeper thinks there is a problem with the naked-mole rat population at the zoo. He starts keeping track of the animals in the tunnels. 7 days into his monitoring he counts 120 mole rats. 13 days in he counts 108. How many rats where there when he started monitoring?.
Answer:
17 naked mole rats.....
