The Internal Revenue Service estimates that 8% of all taxpayers filling out forms make mistakes. An IRS employee announces at lunch one day that she is going to check 25 randomly selected forms after lunch. Calculate the mean and standard deviation of the number of forms with mistakes she should expect to find.

Answers

Answer 1

Answer:

Mean = 2

Standard deviation = 1.356

Step-by-step explanation:

We are given;

Probability of taxpayers that make mistakes when filling out forms: p = 0.08

Sample size; n = 25

In binomial distribution;

Means is;

μ = np

Thus;

μ = 25 × 0.08

μ = 2

Formula for standard deviation here is;

σ = √(np(1 - p))

σ = √(25 × 0.08(1 - 0.08))

σ = 1.356

Answer 2

The required mean is 2 and standard deviation is 1.356 of the number of forms with mistakes she should expect to find.

Given that,

The Internal Revenue Service estimates that 8% of all taxpayers filling out forms make mistakes.

An IRS employee announces at lunch one day that she is going to check 25 randomly selected forms after lunch.

We have to determine,

The mean and standard deviation of the number of forms with mistakes she should expect to find.

According to the question,

Probability of taxpayers that make mistakes when filling out forms: p = 8%= 0.08

And sample size; n = 25

Therefore,

In binomial distribution mean is determine by the formula,

[tex]\mu = np\\\\\mu = 25 \times 0.08\\\\\mu = 2[/tex]

The mean of the number of forms with mistake she should expect to find is 2.

And, Standard deviation is determined by the formula,

[tex]\sigma = \sqrt{np(1-p)}\\\\\sigma = \sqrt{25\times 0.08 (1-0.08)}\\\\\sigma = \sqrt{2\times0.92}\\\\\sigma =\sqrt{ 1.84}\\\\\sigma = 1.356[/tex]

The standard deviation of the number of forms with mistake she should expect to find is 1.356.

Hence, The required mean is 2 and standard deviation is 1.356 of the number of forms with mistakes she should expect to find.

To know more about Standard deviation click the link given below.

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Related Questions

The ratio of girls to boys is ms. Harrington's class is 5:7. If there are 60 students in all of her classes then how many are girls?

Answers

Answer:

25

Step-by-step explanation: Because if you add 5+7=12 60/12=5 5*5=25 so thats your awnser

Matsuki is very very bored...

34 + 35 x (60/2) - (40/2) = ?

Answers

I believe the answer is 1064.

P.s. your cute matsuki <3

Please help ASAP simplify the expression given below

Answers

Answer:

The correct answer is B.)

Step-by-step explanation:

How many questions was the test? Was it 34 or 44?

The expression (x² + 3) / (x-3)(x-1) is the simplified form of the given expression. which is the correct answer would be an option (B).

What is the expression?

Expressions are defined as mathematical statements that have a minimum of two terms containing variables or numbers.

The expression is given below as:

(x-3)/(x-1) + 6/(x-3)

To simplify the expression, we can first combine the terms that have a common denominator:

(x-3)²+ 6(x-1) / (x-3)(x-1)

We can simplify the expression further by using the fact that

(x² + 9 - 6x + 6x - 6) / (x-3)(x-1)

Combine the likewise terms and apply the arithmetic operation,

(x² + 3) / (x-3)(x-1)

Thus, the simplified expression is:

(x² + 3) / (x-3)(x-1)

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fine! many grams did she use ​

Answers

Answer:

72 Grams

Step-by-step explanation:

You do 288/24 and then you would get 12 and then you would do 6 * 12 and get 72   (12 cups of tea.. darn)

The graph of g is the graph of translated horizontally 5 units to the right. If f(x) = 3x + 2 , what is the equation of the function g?

Answers

Answer:

f(x) = 3(x-5) + 2

Step-by-step explanation:

The x coordinates are all shifted to the right, which is the positive direction. Subtracting 5 from the x coordinate is a horizontal right shift.

i need help with this i’m really confused

Answers

Answer:

40) 105 miles (mi)

42) 3.2 centimeters (cm)

Step-by-step explanation:

First determine which part of the ratio corresponds to what. Once you have figured that out, divide by the part of the ratio that corresponds to your given part and then multiply that by the other part of the ratio to derive the quantity.

If a:b

Then a × a/b = b, and b × a/b = a.

You can think of : as "to".

For example, you are given a map with a scale ratio of 1 in : 20 mi, this means that for every inch of the map, there is an actual distance of 20 miles.

So in this situation, the left part of the ratio is the length of the map in inches, and the right part of the ratio is the real distance in miles. For x inches of the map, there is 20 x miles of actual distance. Therefore 3.5 inches has an actual distance of 3.5 × 20 miles or 105 miles of actual distance.

For problem 2, you are given a ratio of 1 m : 2 cm, this means that for every 1 meter of the drawing, there is 2 cm of the plant. Therefore if you have 1.6 meter of the map, then you have 1.6 × 2 cm of the plant or 3.2 cm. For both situations the left part of the ratio is 1 which means that you just multiply by the right part of the ratio by which you are given.

8. Write a multiplication expression
that you can use to find

Answers

Answer:

random equation 8x5

Step-by-step explanation:

I really dont understand

Answer:

You didn't quite finish the question. Please explain the question or else you will be marked by Brainly for giving out the wrong information.

- Thank You,

               Brainly HGF Bot

1. 100= 125x^2 find x using logarithms

Answers

Answer:

Step-by-step explanation:

Answer:

x =2√55,−2√55

Decimal Form:  x=0.89442719…,−0.89442719…

Step-by-step explanation:

what is 0.0452 rounded to (in money)

Answers

Answer:

0.05

Step-by-step explanation:

2 does not move 5 up, but 5 moves 4 up to 5, thus making it 0.05.

The answer would be 0.05 because 4 dosnt round

What are the values of x and y?​

Answers

Answer:

Is there supposed to be a picture?

Answer:

I need to see the equation not the question only so if you could show me the equation in a screenshot it would help me better understand what the question is and I might be able to answer ur question.

Step-by-step explanation:

please help me with this​

Answers

Answer and Step-by-step explanation:

1/2x is positive and 2 is negative, so they cross each other perpendicularly, and the equation needs to be at -13 y, 0 x

The answer is y = -2x - 13

#teamtrees #WAP (Water And Plant)

simplify (3s^8)^-5 write your answer using only positive exponents. help please!!

Answers

Answer:

1 / ( 243s^40 )

Step-by-step explanation:

For this problem, we need to know that a negative exponent simply can be rewritten in the opposing part of the fraction, for this case, the denominator.  So we can simplify as shown:

(3s^8)^-5

= 1 / (3s^8)^5

= 1 / 3^5 * s^8^5

= 1 / 243 * s^40

= 1 / ( 243s^40 )

Cheers.

The expression [tex]\left (3s^8 \right )^{-5}[/tex] is simplified as equal to [tex]\boldsymbol{3s^{-40}}[/tex]

Define exponent.

The amount of times an integer is multiplied on its own is referred to as an exponent.

Given expression is [tex]\boldsymbol{\left (3s^8 \right )^{-5}}[/tex]

Use the formula: [tex]\boldsymbol{\left ( a^m \right )^n=a^{mn}}[/tex] to simplify the expression.

[tex]\left (3s^8 \right )^{-5}=3s^{8\times (-5)}[/tex]

           [tex]=\boldsymbol{3s^{-40}}[/tex]

So, the expression is simplified as equal to [tex]\boldsymbol{3s^{-40}}[/tex]

Fin out more information about the expression here:

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(12x - 30) = (2x - 5)​

Answers

Answer:

x = 5/2

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Algebra I

Equality Properties

Step-by-step explanation:

Step 1: Define

12x - 30 = 2x - 5

Step 2: Solve for x

Subtract 2x on both sides:                    10x - 30 = -5Add 30 to both sides:                            10x = 25Divide 10 on both sides:                        x = 5/2

Find the 13th term of the geometric sequence 1,−2,4

Answers

Answer:

4096

Step-by-step explanation:

Given

Geometric sequence 1,−2,4First term = 1Common difference = -2

13th term is:

1*(-2)^12 = 4096

Tia and Tom are making cupcakes. They need 3/4 a cup of flour and 1/3 cup of butter per batch. If they have 4 1/4 cups of flour and 1 1/2 cups of butter, how many batches can they make?

Answers

Answer:

5

Step-by-step explanation:

HELP MEEEEEE PLEASEEEEEEEEEEEEEEE

Answers

Answer:

If she returns the skis at 3 p.m. she would pay $25. IM NOT SURE ABOUT 3:05 PM

Step-by-step explanation:

Start on the hours rented side. If she rents them at noon you would be at zero. Move to the 3 (in between 2 and 4) then if you go up it hits $25 on the rental cost side.

at 3pm $25

step by step solution

Un taxista compra un coche el 1 de enero de 2013 por 30.000 € . El coche tiene una vida útil de 10 años y un valor residual de 3000 €. El 30 de junio de 2015 vende el coche por 25.000 € . ¿ Qué beneficio ha obtenido?

Answers

Answer:

El taxista obtiene un beneficio de 1.750 € por la venta del taxi el 30 de junio de 2.015.

Step-by-step explanation:

El coche experimenta depreciación a medida que cubre su vida útil hasta caer a su valor residual, es decir, el valor del bien al término de su vida útil. En primer lugar, derivamos una ecuación del precio actual del coche en función del tiempo transcurrido bajo el supuesto de que existe una relación lineal:

[tex]C(t) = C_{o} + \frac{C_{f}-C_{o}}{\Delta t} \cdot t[/tex], para [tex]0\leq t\leq \Delta t[/tex] (1)

Donde:

[tex]C(t)[/tex] - Precio actual del coche, medido en euros.

[tex]C_{o}[/tex] - Precio inicial del coche, medido en euros.

[tex]C_{f}[/tex] - Precio residual del coche, medido en euros.

[tex]\Delta t[/tex] - Vida útil del coche, medida en años.

[tex]t[/tex] - Tiempo actual del coche, medida en años.

El precio actual del coche se obtiene a partir de los siguientes parámetros:

([tex]C_{o} = 30.000\,EUR[/tex], [tex]C_{f} = 3.000\,EUR[/tex], [tex]\Delta t = 10\,yr[/tex], [tex]t = 2.5\,yr[/tex])

[tex]C(t) = 30.000\,EUR +\left(\frac{3.000\,EUR-30.000\,EUR}{10\,yr} \right)\cdot (2.5\,yr)[/tex]

[tex]C(t) = 23.250\,EUR[/tex]

El beneficio derivado por la venta del coche ([tex]\Delta C[/tex]), medido en euros, se obtiene mediante la siguiente sustracción:

[tex]\Delta C = V-C[/tex] (2)

Donde:

[tex]V[/tex] - Precio de venta del coche, medido en euros.

[tex]C[/tex] - Precio actual del coche, medido en euros.

Si tenemos que [tex]V = 25.000\,EUR[/tex] y   [tex]C = 23.250\,EUR[/tex], el beneficio obtenido por la venta es:

[tex]\Delta C = 25.000\,EUR-23.250\,EUR[/tex]

[tex]\Delta C = 1.750\,EUR[/tex]

El taxista obtiene un beneficio de 1.750 € por la venta del taxi el 30 de junio de 2.015.

Divide 3ab by 2c in algebraic expression

Answers

Answer:

[tex]\frac{3ab}{2c}[/tex]

Step-by-step explanation:

An algebraic expression is an expression consists of constants, variables, and the algebraic operations: addition, subtraction, multiplication and division.

Given: algebraic expressions are [tex]3ab,2c[/tex].

To divide: [tex]3ab[/tex] by [tex]2c[/tex]

Solution:

[tex]\frac{3ab}{2c}[/tex]

There are no common terms in numerator and the denominator.

So, answer is [tex]\frac{3ab}{2c}[/tex]

can someone please help me with this

Answers

11 donuts i believe :)

please help fast
Find the mistake
a) (x+3)(x+9)= x2+18x+12

Answers

Step-by-step explanation:

Using FOIL:

(x + 3)(x + 9)

= (x)(x) + (x)(9) + (3)(x) + (3)(9)

= x² + 9x + 3x + 27

= x² + 12x + 27.

What is your favorite marvel character?

OR

What is your favorite Percy Jackson character?

10 points!

Answers

Answer:

nico

Step-by-step explanation:

iron man is my favorite marble character

Which of the following values are solutions to the inequality 7 < -2 – 3x?
I. 1
II. 3
III. - 3
None
I only
Submit Answer
II only
III only
I and II
I and III
II and III
O I, II and III
problem 1 out of n

Answers

Answer:

x<-3

Step-by-step explanation:

The given inequality is 7 < -2 – 3x.

We need to solve the inequality.

Adding 2both sides of the inequality.

7 +2 < -2 – 3x +2

9 <-3x

x<-3

So, the value of x should be less than -3.

Pls help will give brainilist

Answers

Answer:

1566 units^2

Step-by-step explanation:

34×28=952

34×9=306

28×11=308

952+306+308=1566

Answer:

1259 sq units

Step-by-step explanation:

Area of rectanlge; (A=bh)       A=34 x 28 = 952

Area of left triangle; (A=bh/2)    A=(28 x 11) /2 = 154

Area of abovle triangle; (A=bh/2)    A=(34 x 9) /2 = 153

Sum of area of all three figures = 1,259

you need a piece of paper to measure 64.25 cm. if u tape two together that each measure 38.4 cm, how much do u need to cut off?

Answers

Answer:

Already answered https://brainly.com/question/369421

Step-by-step explanation:

The enrollment at a community
college this year is 115% of last year s
enrollment. If there were 1,240
students enrolled at the college last
year, how many students are there
this year

Answers

Answer:i think its -186 hope it helps

Step-by-step explanation:

Math isn’t my best subject but I’ll give it a shot. Feel free to correct me.

115% of 1,240 would be 1,426 students

I’m not sure if you have to add the 1,240 students, but if that’s the case it would be 2,666 students.

Correct me if I’m wrong, and sorry if I am.

Hope this at least helps you.


Weekday hours tripled but your budget of $220 for 26
parking hours remain the same. How many weekend hours
can you purchase now that the weekday hours have
increased?

Answers

Answer:

8 weekend hours can now be purchased.

Note: The prior information required is:

You purchase 26 "parking hours" that you can use over the next month to park your food truck at the fair. Weekday hours cost $2/hour and weekend hours cost $10/hour.

Step-by-step explanation:

Initial cost of weekday hours = $2/ hour

Since the cost of the weekday hours is tripled, new cost = $2/ hour × 3 = $6/ hour

Total week hours purchased = 26 hours

Let the number of weekend hours be x; number of weekday hours will be 26 - x

Since the budget remains the same, therefore, the total cost of weekday parking hours and weekend parking hours will be equal to $220as expressed below;

(26 - x) × $6 + $10 × x = $220

$10x - $6x + $156 = $220

$4x = $(220 -156)

x = 64/4

x = 8 hours

Therefore, 8 weekend hours can now be purchased

Write a real-world example for the following algebraic expression: 2x - 2

Answers

Answer:

At the store every lollipop coasts $2 you have a coupon that will give you $2 off any purchase.  

Step-by-step explanation:

2= the coast for each single lollipop

x= the number of lollipops you buy

-2= the $2 taken off your purchase due to your coupon

HELP ME PLEASE!! im being timed :(

Answers

Answer:

the first one and the third one

Step-by-step explanation:

6^-2
1^6^-2
“^” this means to the power

simplify expression 7yz / -2
A -7/2 z

B-7/2 y

C 7/2 y

D 7/2 z

Answers

Answer:

Are sure the question is correct please

because the answer is not in the objective answers which is - 7/2 yz.

Please check your out again carefully.

Find the coordinate of the missing vertex of rectangle ABCD with A(-5,4), B(3,4), and D(-5,-3).

Answers

Answer:

(3 , -3)

Step-by-step explanation:

The missing vertex of rectangle ABCD is C(3, -3).

What are the coordinates?

Coordinates are a collection of numbers that aid in displaying a point's precise location on the coordinate plane.

Given:

ABCD is a rectangle.

And the vertices are A(-5,4), B(3,4), and D(-5,-3).

We know,

the parallel sides of a rectangle are equal.

Plotting coordinates of all the vertex.

We get,

the missing vertex is C(3, -3)

To verify that segments are equal or not:

Now, AB = √{(-5 - 3)² + (4 - 4)²} = √{64} = 8 units

CD = √{(-5 - 3)² + (-3 + 3)²} = √{64} = 8 units.

Therefore, the missing vertex is C(3, -3).

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