Alison Bender works for an accounting firm. To make sure her work does not contain errors, her manager randomly checks on her work. Alison recently filled out 12 income tax returns for the company's clients. Unknown to anyone, two of these 12 returns have minor errors. Alison's manager randomly selects three returns from these 12 returns. Find the probability that (a) Fewer than 2 of them contains errors

Answers

Answer 1

Answer:

Alison Bender and Income Tax Returns

The probability that fewer than 2 of the returns contains errors is:

8.333%

Step-by-step explanation:

a) Data and Calculations:

Number of income tax returns filed by Alison = 12

Number of returns with minor errors = 2

Percentage of returns with minor errors = 2/12 = 16.67%

Random sampling of returns by Alison's manager = 3/12 = 25%

Fewer than 2 = 1

The probability of 1 error in 12 returns = 1/12 = 0.08333

= 8.333%

b) Since Alison's manager randomly selects three returns from the 12 to check for errors, the probability of discovering the errors is 25% (3/12).  However, the probability that less than 2 contains errors = 8.333% (1/12).


Related Questions

What is the perimeter of the triangle?
unit

Answers

Answer:

36 units

Step-by-step explanation:

perimeter of the given triangle = 16 + slant (10) + slant (10)

                                                   = 36 units  

(see image below)

"what is 3/8 divided by 6? give your answer as a fraction in the simplest form"

Answers

Step-by-step explanation:

[tex]{:}\hookrightarrow\sf \dfrac {3}{\dfrac {8}{6}}[/tex]

[tex]{:}\hookrightarrow\sf \dfrac {3}{8}\times \dfrac {1}{6}[/tex]

[tex]{:}\hookrightarrow\sf \dfrac {3}{8\times 6}[/tex]

[tex]{:}\hookrightarrow\sf \cancel {\dfrac {3}{48}}[/tex]

[tex]{:}\hookrightarrow\sf \dfrac {1}{16}[/tex]

please help me with the attachment below, will give brainliest !!!!!!

Answers

It is 26/100 = 0.26 so I hope this helped
Hello,

I think the answer is 26/100.
Hope this helps!!
Brainliest?

11. What's one way we can check our answer to 2
X10 = 20?
A. 2 = 10 = 20
B. 20 x 10 = 2
C. 20 = 10 = 2

Answers

Answer:

20 ÷ 10 = 2

or

20 ÷ 2 = 10

Step-by-step explanation:

multiplication is the opposite of division

Best Answer gets BRAINLIEST!!!

Answers

Answer:

maybe is b

Step-by-step explanation:

but just wait to other people

Table B.

Explanation:

We divide y/x for all three combinations.

1st: 8/5/8 = 8/5*8 = 1/5

2nd: 9/5/9 = 9/5*9 = 1/5

3rd: 2/10 = 1/5

This graph shows the distance that a robot walks. What is the robot's speed?
Waliking Time and Distance
2 3 4 5
Time (minutes)
OA 10 feet per minute
OB. 5feet per minute
Oc. 30 feet per minute
OD. 20 feet per minute

Answers

Speed = Distance divided by time or d/t
I don’t see a graph

The speed of the robot from the graph is m = 10 feet per minute

What is an Equation of a line?

The equation of a line is expressed as y = mx + b where m is the slope and b is the y-intercept

And y - y₁ = m ( x - x₁ )

y = y-coordinate of second point

y₁ = y-coordinate of point one

m = slope

x = x-coordinate of second point

x₁ = x-coordinate of point one

The slope m = ( y₂ - y₁ ) / ( x₂ - x₁ )

Given data ,

Let the equation of line be represented as A

Now , the value of A is

Let y represent the distance of the robot

Let x represent the time taken

Let the first point be P ( 1 , 10 )

Let the second point be Q ( 2 , 20 )

Now , the slope of the line is m = ( y₂ - y₁ ) / ( x₂ - x₁ )

The slope of the line will give the speed of the robot

Substituting the values in the equation , we get

Slope m = ( 20 - 10 ) / ( 2 - 1 )

m = 10 feet per minute

Hence , the speed is 10 feet/min

To learn more about equation of line click :

https://brainly.com/question/14200719

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The complete question is attached below :

This graph shows the distance that a robot walks. What is the robot's speed?

Walking Time and Distance

2 3 4 5

Time (minutes)

A) 10 feet per minute

B) 5feet per minute

C) 30 feet per minute

D) 20 feet per minute

Can a trinomial with a leading coefficient not equal to 1 have two identical factors If so , give an example .

Answers

Answer:

COEFFICENT

Step-by-step explanation:

Help! It's geometry. :) 35 points.

Answers

Answer:

g = 21

h = 8

Step-by-step explanation:

3g + 5 + 6g - 14 = 180 (since they are adjacent angles and will equal 180)

Simplify to get g = 21.

Substitute 21 for g in 3g + 5 and set that equal to 9h - 4 and solve for h to get 8 (since they are opposite angles and will equal each other)

Answer:g=21 h = 8

Step-by-step explanation:

That's a rhombus supposedly so the opposite angles are congruent.

This means 9h-4=3g+5 Also the opposite sides of a rhombus add up to 180 degrees, so 3g+5+6g-14=180

9g=,189 g = 21

now plug this into the first equation

9h-4=3(21)+5

9h-4=63+5

9h=72

h=8

There are 60 dogs at a doggie daycare one Friday. If 13 of the dogs are large dogs, 16 of the dogs are medium-sized dogs, and the remaining dogs are small dogs, which statement is true?

A. There are 10 less large dogs than small dogs at the daycare.



B. There are 10 more large dogs than small dogs at the daycare.












C. There are 20 less large dogs than small dogs at the daycare









D. There are 20 more large dogs than small dogs at the daycare.

Answers

Answer:

D there are 20 more large dogs than small dog at the daycare

Answer: The answer is that the small dog amount is 73 so

60 medium sized dogs and 13 big dogs and 73 small dog

in total they are 146.

What is the original price of the box of cereal?

Answers

Answer:

$3.20

Step-by-step explanation:

100,000,000 sheep are in a field the farmer says there are 36 acres for each sheep how many acres are there in the field​

Answers

Answer:

3,600,000,000

Step-by-step explanation:

if i understood this correctly, you just multiply 100,000,000 by 36 and you're done

What are the possible numbers of positive, negative, and complex zeros of f(x) = −x6 − x5 − x4 − 4x3 − 12x2 + 12

Answers

Answer:

Positive roots = 1 or 0

Negative roots = 0, 2, or 4

Complex roots = 0, 2, 4, or 6

Step-by-step explanation:

We are given the polynomial:

f(x) = -x⁶ - x⁵ - x⁴ - 4x³ − 12x² + 12

Now, by inspection, the highest degree is 6 and as such the polynomial is therefore a polynomial with more than 2 as a degree.

Applying Descartes Rule of Signs to the polynomial :

f(x) = -x⁶ - x⁵ - x⁴ - 4x³ − 12x² + 12

Signs are: - - - - - +

There is only 1 sign change and thus, it means there is 1 or 0 positive roots

To find number of negative roots, we will use f(-x);

f(−x) = -(−x)⁶ - (−x)⁵ - (−x)⁴ - 4(−x)³ − 12(−x)² + 12(−x)

f(-x) = -x⁶ + x⁵ - x⁴ + 4x³ − 12x² - 12

Signs are: - + - + - -

There are 4 sign changes and thus, it means there are 4, 2 or 0 negative roots

Thus; Complex roots = 0, 2, 4, or 6

help with this homework question pleaseeee

Answers

Answer:

b

Step-by-step explanation:

then it would be sss

Simplify 5 (3 1/5​ +2 4/5​−0.6)

Answers

Step-by-step explanation:

l dont understand your question

is it 3 and a fifth or 31/5

-8+12 divided by 2 + (-14)

Answers

Answer:

-16

Step-by-step explanation:

Answer:

the answer is negitive 12 or -12

What is an equation of the line that passes through the point (6,3) and is parallel to
the line x + 3y = 24?

Answers

Answer:

x + 3 y = 15

Step-by-step explanation:

line is paralle that means that coefficient next to x mand y must be the same

so the equation of the line will be

x + 3y = a

we have to find a, we know that line passes throgh (6,3) so

6 + 3 * 3 = a

a = 15

the line has an equation

x + 3 y = 15

A soft drink filling machine, when in perfect adjustment, fills the bottles with 12 ounces of soft drink. Any overfilling or underfilling results in the shutdown and readjustment of the machine. To determine whether or not the machine is properly adjusted, the correct set of hypotheses is _____.

Answers

Answer:

[tex]\mathbf{H_o : \mu = 12} \\ \\ \\ \mathbf{H_a: \mu \ne 12}[/tex]

Step-by-step explanation:

Given that:

The population mean μ =  12

By computing the null and alternative hypotheses, the correct set of hypotheses for this test is:

[tex]\mathbf{H_o : \mu = 12} \\ \\ \\ \mathbf{H_a: \mu \ne 12}[/tex]

This is a two-tailed test.

what is a domain and range
and how do I find it ​

Answers

Answer: Because the domain refers to the set of possible input values, the domain of a graph consists of all the input values shown on the x-axis. The range is the set of possible output values, which are shown on the y-axis.

Which phrase could the expression x-4 represent?
a number less than 4
the difference of a number and 4
the sum of a number and 4
four less a number

Answers

The third one the sum of a number and 4

Hi if i have 8,000 saving for 12,000 how much more do i need?

Answers

Answer: 4,000

Step-by-step explanation: 12,000 - 8,000 = 4,000 Hope it helped!! :)

I will give brainliest
Jared is going to plant 20 small plants around the edge of a circular garden that is 8 feet in diameter. If he spaces the plants evenly, how much distance will be between the plants?
25.12 feet
12.56 feet
2.5 feet
1.26 feet

Answers

Answer:

2.5 feet

Step-by-step explanation:

20/8=2.5

Simplify by using the o
3–8(4-9)=

Answers

Answer:

-51

Step-by-step explanation:

3-24+72=0

75-24=0

51=0

If $2000 is deposited into an account paying simple interest of 6% per year on a monthly basis, in how many months will this account increase by $90?
A. 22
B. 15
C. 9
D. 4

Answers

C. The monthly rate is 6pct/12 = 0.5 pct which gives 10$ each month.

Need help ASAP!!!The measures of angles of a triangle are shown in the figure below.Solve for x

Answers

Answer:

54

Step-by-step explanation:

90 + 36 = 126

180-126= 54

you spin the spinner twice what is the probability of landing on a 6 and then landing on a number greater than 4
p(6,then>4)=
a)1/4
b)1/6
c)1/8
d)1/10

Answers

it would be c or b, you’re welcome!

Alex mows lawns. He earns $15 per lawn. How much does he earn in 4 days if he mows 5 lawns per day?

Answers

Answer:

He would make 300 dollars.

Step-by-step explanation:

15 x 5 = 75

75 x 4 = 300.

Answer:

answer is 300

Step-by-step explanation:

Because if your doing it for 1 day you would have to 15*5 which five you 75. Then you multiple that 75 with the 4 and give you 300 within the 4 days..

Hopes this help.

Need help Pronto! Will give braintliest.

Answers

Answer:

the answer is 45 I believe because it is the same exact as j

A plane set off to Portland at a speed of 232 mph. On the
return flight of 12 hours, the plane cruised at 204 mph.
How many hours long was the flight to Portland?

Answers

Answer:

The flight to Portland takes 10.6 hours.

Step-by-step explanation:

To find the time of flight to Portland we need to calculate the distance traveled by using the equation:

[tex] x = v*t [/tex]

Where:

v: is the speed = 204 mph (return flight)

t: is the time = 12 h (return flight)

[tex] x = v*t = 204 mi/h*12 h = 2448 mi [/tex]

Now, we can find the time of flight to Portland using v = 232 mph:

[tex]t = \frac{x}{v} = \frac{2448 mi}{232 mi/h} = 10.6 h[/tex]

Therefore, the flight to Portland takes 10.6 hours.

I hope it helps you!                      

Kristina, Liz, and Heather all made cookies. Kristina made 1.8 dozen less than 6 times as many dozen as Heather. Liz made 2.7 dozen more than 5 times as many dozen as Heather. If Kristina and Liz made the same number of cookies, how many dozen cookies did Heather make?

Answers

Answer:

Based on the number of cookies each girl made and if Kristina and Liz made the same number of cookies, then Heather made 4.2 dozen cookies.

Step-by-step explanation:

In order to find the number of cookies that Heather made, you need to set up two equations that represent the number of cookies that Kristina and Liz each made.  Since Kristina made 2.4 dozen less than 6 times as many dozen as Heather, we can represent that with the equation  6c - 2.4.  Since Liz made 1.8 dozen more than 5 times as many dozen as Heather, we can represent that with the equation 5c + 1.8.  We can set both equations equal to each other since Liz and Kristina made the same number, so 6c - 2.4 = 5c + 1.8.  Solving for 'c', which represents how many dozen cookies Heather made, we get 4.2  

What is the product of(5)(3)

Answers

Answer:

15

Step-by-step explanation:

just cause

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