2(4x − 3) = 5x − 3(x − 4)
Answer: x=3
Step-by-step explanation:
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]
write an equation to solve for x what is the value of x will mark brainious this is very confusing for me
Answer:
equation: 3x - 2 + 4x - 9 + 3x - 9 = 180x = 20Step-by-step explanation:
add all internal angles
∠H + ∠I + ∠J = 180
where:
∠H = 3x - 2
∠I = 4x - 9
∠J = 3x - 9
plugin the values into the ∠H + ∠I + ∠J = 180 formula:
equation: 3x - 2 + 4x - 9 + 3x - 9 = 180
combine similar terms: 3x + 3x + 4x = 180 + 2 + 9 + 9
simplify: 10x = 200
divide 10 both sides: x = 20
hellllllllllllllllllp
Answer:
Step-by-step explanation:
Its b
Answer:
D
Step-by-step explanation: common sence because when it 5 and the little 2
would be 5 times 5 BUT 5 and the little 4 would be 5 times 5 times 5 times 5 so which if you add those u get 5 times etc u get the point
What is the average of these two values?
2 x 105 and 6 x 103
Answer:
the answer should be 414
Answer:
414
or
103.5
Step-by-step explanation:
If these are singular values and for example 2 x 105 does not mean two datasets of 105 and 6 x 103 doesnt mean six datasets of 103, then your average would be as follows
((2 x 105) + (6*103)) ÷ 2
The two being how many sets of values you have
This would be solved as follows
((210) + (618)) ÷ 2 =
(828) ÷ 2 = 414
So in this case it would be 414
However, if the two in 2 x 105 means two data sets of 105;
it would be the same steps of solving but with the ÷ 2 being replaced with ÷ 8 (2 + 6)
((2 x 105) + (6*103)) ÷ 8 =
((210) + (618)) ÷ 8 =
(828) ÷ 8 = 103.5
Hope this helps.
True or False? Complementary Angle’s are two angles that add up to 90 degrees
Answer:
True
Step-by-step explanation:
Definition of Complementary Angle’s
g(f(x)) easy hw question
Answer:
b
Step-by-step explanation:
-2x⁴-x³+2x²-6
hope this helps
Help ? anybody ion know any of these I’m sorry please give me the correct answer .
Solve two-step equations
2 = 4s + –10 i need it ASAP
Answer:
s=3
Step-by-step explanation:
Answer:
s=3
Step-by-step explanation:
simplify the equation to the form, which is simple to understand
and then move all terms containing s to the left and all other terms to the right!
Find value of x, first gets brain
Answer:
53
Step-by-step explanation:
Which of these numbers are perfect squares or perfect cubes? Select all that apply
A. 8
B. 16
C. 32
D. 64
E. 128
Anybody Know This. ?
Find the value of 0.4 ´ 0.023
Answer:
45-0.023=44.977
Step-by-step explanation:
3. Evaluate the expression 18
7+2 - 4
a. 2
b. 1.4
c. 6
d. 18
What relations, if any, are functions? Select all that apply.
ayooooo the functions: a and d.
3. Which size package of pasta shown in the
table has the lowest unit price?
A. 3 oz
C. 16 oz
B. 8 oz
D. 32 oz
Size (oz) Cost ($)
3
0.99
8
2.59
16
5.69
32
11.89
Answer:D
Step-by-step explanation:
I divided all of them and d was the lowest unit rate
What is the answer to m<4
Answer:
124°
Step-by-step explanation:
Supplementary angles are when two angles add up to 180°
If angle 3 is 56° then you subtract
180 - 56 = 124
10 pol
Mariska draws a red card and then a black card. The sum is positive. The
number on the black card must be greater than the number on the red
card. *
True
False
False, The sum is positive, no subtraction is being done and no negatives are present.
A positive plus a positive is another positive.
Evaluate the following expression.
50÷ 5^2×2
HDHSJSJSDVSV HELP ME
Answer:
let me see the drop box options !! it helps alot!
you have three 1 dollar bills and 2 10 dollar bills in your wallet. you select a bill at random
Answer:
you are more likely to get a 10 dollar bill
Step-by-step explanation:
NEED HELP FAST I WILL MARK BRAINLYEST
Answer:
13/48
Step-by-step explanation:
13/6 / 8 = 13/6 x 1/8
13 x 1 = 13
6 x 8 = 48
13/48
Answer:
13/48
Step-by-step explanation
The graph of a line passes through the two points (-2,1) and (2,1). What is the equation of the line written in general form ?
A. y-1=0
B. x-y+=0
C. x+y -1=0
Answer:
A
Step-by-step explanation:
When you plot the points (-2,1) and (2,1) on a graph, you get a horizontal lines that crosses through y=1 which can be rearranged to be written as y-1=0
Select the best answer for the question.
5. Solve the equation: 7x = 42.
O A.X=-7
O B.x=7
O C.x=-6
O D. x = 6
Ken and Vincent each want to run for president of their school's student body council. In
order to do so, they must collect a certain number of signatures and get a nomination. So far,
Ken has 10 signatures, and Vincent has 30. Ken is collecting signatures at an average rate of
3 per day, whereas Vincent is averaging 2 signatures every day. Assuming that their rate of
collection stays the same, eventually the two will have collected the same number of
signatures. How long will that take?
00
Write a system of equations, graph them, and type the solution.
Sn
Answer:
Step-by-step explanation:
Answer:
Step-by-step explanation:
A ring-shaped region shown below. Its inner diameter is20 yd. The Width of the ring is 3 yd. Find the area. Of the shaded region.
9514 1404 393
Answer:
216.66 yd²
Step-by-step explanation:
One way to find the area of a ring like this is to multiply its centerline length by the width of the ring.
Here, the diameter of the circle that is the centerline of the ring is 23 yd. The circumference of that circle is ...
C = πd = 3.14(23 yd) = 72.22 yd
Then the ring area is ...
(72.22 yd)(3 yd) = 216.66 yd² . . . area of shaded region
Think about the proportion and the cross products for this problem:
Shelley sold one customer 5 peanut butter biscuits for $3. She sold another customer 7 beef treats for $4.20.
Answer:
The ratios are equivalent
The ratios are a proportion
The marching band walks mile in 2.5 minutes. At this rate, how many minutes will it take to complete 1 mile? Record your answer below.
Answer:
2.5 minutes
Step-by-step explanation:
The answer is given in the word problem.
What is the average speed of a baseball that is thrown 90 feet in 2 seconds?
A. 180 feet/second
B. 45 feet/second
C. 92 feet/second
D. A variable most often found on the y-axis
slove the equation
7h-5(3h-8)=-72
Answer:
Step-by-step explanation:
You can break it down into steps if you'd like.
-5 ( 3h - 8) = -15h + 40
So,
7h - 5 ( 3h -8 ) = -72
7h - 15h + 40 = -72
Now you can combine the like terms
-8h + 40 = -72
Add 8h to both sides
40 = -72 + 8h
Add 72 to both sides
40 + 72 = 8h
112 = 8h
Divide both sides by 8 to find h.
h = 112/8 = 14