The production department has installed a new spray machine to paint automobile doors. As is common with most spray guns, unsightly blemishes often appear because of improper mixtures or other problems. A worker counted the number of blemishes on each door. Most doors had no blemishes; a few had one; a very few had two; and so on. The average number was 0.5 per door. The distribution of blemishes followed the Poisson distribution. Out of 10,000 doors painted, about how many would have no blemishes

Answers

Answer 1

Answer:

The numbers of doors that will have no blemishes will be about 6065 doors

Step-by-step explanation:

Let the number of counts by the  worker of each blemishes on the door be (X)

The distribution of blemishes followed the Poisson distribution with parameter  \(\lambda =0.5\) / door

The probability mass function on of a poisson distribution Is:

\(P(X=x) = \dfrac{e^{- \lambda } \lambda ^x}{x!}\)

\(P(X=x) = \dfrac{e^{- \ 0.5 }( 0.5)^ x}{x!}\)

The probability that no blemishes occur is :

\(P(X=0) = \dfrac{e^{- \ 0.5 }( 0.5)^ 0}{0!}\)

\(P(X=0) = 0.60653\)

P(X=0) = 0.6065

Assume the number of paints on the door by q = 10000

Hence; the number of doors that have no blemishes  is = qp

=10,000(0.6065)

= 6065


Related Questions

For f (x) = StartFraction 6 x cubed minus x Over 2 x cubed minus x EndFractionthe ratio of the leading terms of the function is and Limit of StartFraction 6 x cubed minus x Over 2 x cubed minus x EndFraction as x approaches infinity= . These limits indicate there is an asymptote of .

Answers

Answer:

3, 3, and y=3

Step-by-step explanation:

got it right on edge

A ratio expresses the number of times one number contains another. The ratio of the given polynomial is equal to 3.

What is a Ratio?

A ratio expresses the number of times one number contains another. For example, if a dish of the fruit contains eight oranges and six lemons, the orange-to-lemon ratio is eight to six. Similarly, the lemon to orange ratio is 6:8, while the orange to total fruit ratio is 8:14.

Given the polynomial function, f(x)=(6x³ - x)/(2x³ - x). The leading coefficient is the constant of the term that has the highest power in a given polynomial. Therefore, the leading coefficient of the numerator and the denominator are 6 and 2, respectively. Thus, the ratio of the constant is,

Ratio = 6/2 = 3

Hence, the ratio of the given polynomial is equal to 3.

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1. Which of the following is equivalent to 6/10? 5/9 9/15 8/12 36/100​

Answers

The equivalent fraction to 6/10 can be derived by dividing both numerator and denominator by 2 which gives 3/5. Therefore, the option equivalent to 6/10 is 3/5. Hence, the option 5/9, 9/15, 8/12, and 36/100 are not equivalent to 6/10.

Explain why multiplying by 8/3 gives the same result as first multiplying by 8 and then multiplying by 1/3

Answers

The outcome of multiplying by 8/3 is the same as multiplying with 8 and then by 1/3.

Explain multiplication of fraction?

The two fractions that want to multiply come first when multiplying fractions.

You multiply both denominators (the lower numbers) by the sum of the numerators (this same top numbers). Finding the sum of two or maybe more fractions is known as multiplying fractions. When multiplying fractions, a different approach is taken than when adding and subtracting fractions.

For the stated number.

The number given is 8/3.

Other set of numbers are-

Multiplying 1/3 with 8.

= 1/3*8

= (1*8)/3

= 8/3, which is equal to the stated number.

Thus, the outcome of multiplying by 8/3 is the same as multiplying with 8 and then by 1/3.

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Without graphing, find the slope of the line that goes through (-3, 1) and (1,3).

Answers

Answer:

1/2 i think using a app brjejfj

Without graphing, find the slope of the line that goes through (-3, 1) and (1,3).

\(2x + 39 - 21 {}^{2} \)factor everything

Answers

Hello there. To solve this question, we'll calculate the square, add the values and factor out the terms

Given

2x + 39 - 21²

We calculate the square

21² = 441

2x + 39 - 441

Add the values

2x - 402

Factor the equation by a factor of 2

2(x - 201)

The garment factory plans to make 690 sets of garments. It has been done for 5 days, with an average of 75 sets per day. The rest needs to be completed in 2.5 days, how many sets are done on average per day (step-by-step answer)

Answers

For the remaining set of garments, the average per day that they need to be completed would be = 126 sets/day.

How to calculate the average set made per day?

The quantity of garments planned to be made by the factory = 690sets.

The rate of coverage for 5 days = 75sets/day.

That is for 5 days the number of garments covered = 75×5 = 375

The remaining sets = 690-375 = 315

The average per day to cover the remaining sets of garment = 315/2.5 = 126 sets/day

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What is the area of a rectangle that is 5 meters long and 8 meters wide?
26 m2
35 m2
13 m2
40 m2

Answers

Answer:

D. 40 m²

Step-by-step explanation:

To find the area of a rectangle, simply multiply the length (5 meters) and the width (8 meters)

5×8=40

So, the area is 40 m²

C. 40m2


give brainliest

Can you please help me?

Can you please help me?

Answers

Answer:

idek

Step-by-step explanation:

srry

A shipping box is 36 inches by 24 inches by 18 inches
how many cubic feet can it hold

Answers

Answer:

To find the volume of the shipping box in cubic feet, we need to convert the dimensions from inches to feet and then calculate the volume.

Given:

Length = 36 inches

Width = 24 inches

Height = 18 inches

Converting the dimensions to feet:

Length = 36 inches / 12 inches/foot = 3 feet

Width = 24 inches / 12 inches/foot = 2 feet

Height = 18 inches / 12 inches/foot = 1.5 feet

Now, we can calculate the volume of the box by multiplying the length, width, and height:

Volume = Length * Width * Height

Volume = 3 feet * 2 feet * 1.5 feet

Volume = 9 cubic feet

Therefore, the shipping box can hold 9 cubic feet.

Step-by-step explanation:

First convert the units because it's asking for the cubic feet but they give us the measurements in inches.

To convert inches to feet we divide the number by 12.

36 ÷  12 = 3

24 ÷  12 = 2

18 ÷ 12 = 1.5

Now to find the volume, we multiply it all together.

3 × 2 × 1.5 = 9

It can hold 9 cubic feet.

Hope this helped!

What is the midpoint of the line segment with the given endpoints (4,6) (3,-3)
Help it’s urgent

Answers

The coordinates of the midpoints of the given line segment is:

(3.5, 1.5)

How to find the midpoints of a line segment?

The midpoint of a line segment is simply referred to as the center of that specific line segment.

Thus, the coordinates at that point will be referred to as the coordinates of the midpoint.

The coordinates of the endpoints of the line are:

(4,6) and (3,-3)

The formula to find the coordinates of the midpoint of the line is:

(x, y) = (x₁ + x₂)/2, (y₁ + y₂)/2

Thus, we have:

(x, y) = (4 + 3)/2, (6 - 3)/2

= (3.5, 1.5)

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Converting a Percent to a Decimal

Converting a Percent to a Decimal

Answers

a) The percentage is 73%.

b) The ratio is 73:27

d) The decimal form is 0.73

e) The fraction is 73/100

What percentage is shaded?

The percentage of the model that is shaded is given by:

P = 100%*(shaded squares)/(total number of squares)

There are 100 squares in total, of these 73 are shaded, then the percentage is:

P = 100%*(73)/100 = 73%

b) The ratio is "shaded squares to non shaded squares"

There are 73 shaded squares and 27 non-shaded ones, then the ratio is 73:27

c) To get the equivalent decimal to a percentage, just divide it by 100%.

p = 73%/100%  =0.73

d) The equivalent fraction is the fraction we wrote on the first step, it is:

fraction = 73/100

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HELP ASAP WILL GIVE 50 PTS AND BRAINLYEST FOR CORRECT ANSWER

HELP ASAP WILL GIVE 50 PTS AND BRAINLYEST FOR CORRECT ANSWER

Answers

So, you are 0.8 units away from the sun. The units will depend on the context of the problem.

To find out how many times larger \(2 \times 10^{-2}\) is than \(3 \times 10^{-6}\), we can divide the two numbers:

\(\frac{(2 \times 10^{-2})}{(3 \times 10^{-6}) }\\\\= (2/3) \times 10^{(-2+6)} \\= (2/3) \times 10^{4}\)

So, \(2 \times 10^{-2} is (2/3) \times 10^{-4}\) times larger than \(3 \times 10^{-6}\)

To find the difference between \(2 \times 10^{-2}\) and \(3 \times 10^{-6}\), we can subtract the two numbers:

\(2 \times 10^{-2} - 3 \times 10^{-6} = 0.02 - 0.000003 = 0.019997\)

So, the difference between \(2 \times 10^{-2}\) and \(3 \times 10^{-6} is 0.019997.\)

If you are 400 times \(2 \times 10^{-3}\) away from the sun, we can multiply 400 by \(2 \times 10^{-3}\) to get the distance:

\(400 \times 2 \times 10^{-3} = 0.8\)

So, you are 0.8 units away from the sun. The units will depend on the context of the problem.

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4. Which of the following angles is vertical to angle /DEB?
A
C
109°
E
D
B

4. Which of the following angles is vertical to angle /DEB?AC109EDB

Answers

Answer:

A

Step-by-step explanation:

Brianna made 9 1/4 bags of popcorn for a movie night with some friends. Together they ate 4 bags of it. How much popcorn was left?

Answers

There were 5 1/4 bags of popcorn left after eating 4 bags.

To find out how much popcorn was left after eating 4 bags, we need to subtract the amount eaten from the total amount Brianna made.

Brianna made 9 1/4 bags of popcorn, which can be represented as a mixed number. To perform calculations, let's convert it to an improper fraction:

9 1/4 = (4 * 9 + 1) / 4 = 37/4

Now, let's subtract the 4 bags eaten from the total:

37/4 - 4

To subtract fractions, we need a common denominator. The common denominator of 4 and 1 is 4. Therefore, we can rewrite the expression as:

37/4 - 4/1

Now, let's find a common denominator and subtract the fractions:

37/4 - 16/4 = (37 - 16) / 4 = 21/4

The result is 21/4, which is an improper fraction. Let's convert it back to a mixed number:

21/4 = 5 1/4

Therefore, there were 5 1/4 bags of popcorn left after eating 4 bags.

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Which statement is true about the graphed function

Which statement is true about the graphed function

Answers

I am not sure but I think it’s be

Which is the answer? help me

Which is the answer? help me

Answers

I think it’s the first one, when I did the math it was the closest to what I received.

Furthermore, 1/3 is roughly 33.3% or 0.33 and 32 is the closest to that number

using the line of best fit​

using the line of best fit

Answers

The monthly cell phone bill when shared data equals zero is given as follows:

$26.

How to define a linear function?

The slope-intercept representation of a linear function is given by the equation presented as follows:

y = mx + b

The coefficients of the function and their meaning are described as follows:

m is the slope of the function, representing the change in the output variable y when the input variable x is increased by one.b is the y-intercept of the function, which is the initial value of the function, i.e., the numeric value of the function when the input variable x assumes a value of 0. On a graph, it is the value of y when the graph of the function crosses the y-axis.

The intercept of the line in this problem is given as follows:

b = 26.

Hence $26 is the monthly cell phone bill when shared data equals zero.

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please help me
please help me
please help me
please help me
please help me
please help me
please help me
please help me

please help meplease help meplease help meplease help meplease help meplease help meplease help meplease

Answers

Answer:

Very Small as if the exponent is negative it means that the number is a fraction

Step-by-step explanation:

i really need help, can someone please help me with this math question

i really need help, can someone please help me with this math question

Answers

The functions for this problem are defined as follows:

(t + s)(x) = x³ + 5x².(ts)(x) = \(5x^5\)(t - s)(-2) = -28.

How to obtain the functions?

The functions for this problem are given as follows:

s(x) = 5x².t(x) = x³.

The addition and subtraction functions for this problem are given as follows:

(t + s)(x) = x³ + 5x².(t - s)(x) = x³ - 5x².

At x = -2, the numeric value of the subtraction function is given as follows:

(t - s)(-2) = -2³ - 5(-2)²

(t - s)(-2) = -28.

The product function for this problem is given as follows:

(ts)(x) = \(5x^5\)

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Solve the System of equations.

Solve the System of equations.

Answers

Answer:

x=9y=12

Step-by-step explanation:

Plug x as 2y-15 in the first equation and solve for y.

-5(2y-15)+4y=3

-10y+75+4y=3

-6y+75=3

-6y=-72

y=12

Plug y as 12 in the second equation and solve for x.

x=2(12)-15

x=24-15

x=9

for f(x)=(x-3)/(x^(2)-4), the function is at x=2 continuous discontinuous with an infinite discontinuity discontinuous with a jump discontinuity discontinuous with a point discontinuity

for f(x)=(x-3)/(x^(2)-4), the function is at x=2 continuous discontinuous with an infinite discontinuity

Answers

Answer:

ITS UNDEFINED

Step-by-step explanation:

2-3)/2^2 - 4

-1/(4-4)

-1/0

ITS UNDEFINED

Answer:

\(\Large \boxed{\mathrm{discontinuous \ with \ a \ point \ discontinuity}}\)

\(\rule[225]{225}{2}\)

Step-by-step explanation:

\(\displaystyle f(x)=\frac{x-3}{x^2-4}\)

When x = 2.

We can see that the denominator is equal to 0 when the input value is 2.

\(2^2-4=4-4=0\)

Obtaining a zero in the denominator indicates a point of discontinuity.

In the graph below, we can see that the function is discontinuous at x = 2.

\(\rule[225]{225}{2}\)

for f(x)=(x-3)/(x^(2)-4), the function is at x=2 continuous discontinuous with an infinite discontinuity

Heather plans to make monthly payments of $800 for next 25 years and into it an annuity offering and annual interest rate of 4.8% how much money will she have in 25 years round to the nearest hundred

Answers

Answer:

formula

= Pmt [(1 + i/n)^nt - 1] / (i/n)

answer in picture hihi ^_^

Step-by-step explanation:

heart and star pls <3 brainliest will be appreciated <3(っ◔◡◔)っ  -{ elyna s }-
Heather plans to make monthly payments of $800 for next 25 years and into it an annuity offering and

Conrad is reading a blue print to make a shed. On the blue print, the length of the shed is 12 inches and the ramp attached to the shed is 1 inch. He wants to convert the total length of the shed and ramp from inches to yards. Select all of the expressions which correctly show how to convert the length of the shed and ramp from inches to yards using the ratio 36 inches to 1 yard.

Answers

To convert inches to yards, we need to divide by 36, since 36 inches make 1 yard. Therefore, to convert the length of the shed and ramp from inches to yards, we can use the following expressions: (12 + 1) / 36 = 0.3611... yards, (12 / 36) + (1 / 36) = 0.3611... yards, 13 / 36 = 0.3611... yards

What are expressions?

An expression in mathematics is a grouping of variables, numbers, and actions that can be evaluated to yield a value. A wide range of mathematical notions, from basic arithmetic computations to intricate algebraic formulas and beyond, are represented by expressions.

These components can be used to combine expressions in a wide range of different ways. For instance, we can construct straightforward arithmetic phrases such as "2 + 3" or "5 * 4" or more intricate algebraic expressions such as "3x2 + 2x + 1" or "sin(x) + cos(x)". In each instance, the expression denotes a mathematical idea that may be tested to provide a certain value.

Expressions play a significant role in mathematics and are utilized in a wide range of fields in science, engineering, and finance. By being aware of how expressions work, we can better understand and solve a wide variety of mathematical problems.

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Answer nowwwwwwwwwwwwwwwww

Answer nowwwwwwwwwwwwwwwww

Answers

Answer:

the first one (the less than sign) <

An AP has first term as 3 and Common difference of 2 how many terms are needed to make the sum to 99

Answers

Answer:

9

Step-by-step explanation:

The \(n\)term is \(2n+1\).

\(S_n=\frac{3+2n+1}{2}(n)=99 \\ \\ \frac{n(2n+4)}{2}=99 \\ \\ n(n+2)=99 \\ \\ n^2+2n-99=0 \\ \\ (n+11)(n-9)=0 \\ \\ n=9 \text{ } (n>0)\)

The number of terms that needed to make the sum to 99 is 9

The first term of the arithmetic progression = 3

The common difference = 2

The sum of n term is = (n/2) [2a+(n-1)d]

Where a is the initial term

d is the common difference

Substitute the values in the equation

(n/2) [2(3)+(n-1)2] = 99

(n/2) [6 + 2n - 2] = 99

(n/2)[4+2n] = 99

n(2 + n) = 99

2n + \(n^2\) = 99

\(n^2\) + 2n - 99 = 0

Split the terms

\(n^2\) - 9n +11n - 99 =0

n(n -9) + 11(n - 9) = 0

(n + 11)(n - 9) = 0

n = -11 or 9

Since n cannot be a negative number, therefore n = 9

Hence, the number of terms that needed to make the sum to 99 is 9

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What’s the answer for this one please show work!

Whats the answer for this one please show work!

Answers

Answer:

∠ MON = 51°

Step-by-step explanation:

∠ LON is composed of the 2 angles LOM and MON , that is

∠ LOM + ∠ MON = ∠ LON

42° + ∠ MON = 93° ( subtract 42° from both sides )

∠ MON = 51°

Answer:

<MON= 51°

Step-by-step explanation:

Look at the diagram and locate LON. You can see that LON is the angle of the complete line. Now LOM is given which is the angle of a part of the lines. So that means that to find MON we can minus LON with LOM.

<MON= <LON - <LOM

= 93-42

<MON= 51°

Feel free to ask any doubt you have!

If you multiply the sum of 546 and 1711 by zero, what will be your result?​

Answers

Answer:

0

Step-by-step explanation:

any numbers multiply by zero always equals to zero

Celeste is planting a rectangular flower garden in which the width will be 4 feet less than its length. She has decided to put a birdbath within the garden that will occupy a space 3feet by 4 feet how many feet are now left for planting? Express your answer on factored form

Answers

Answer:

(L-6)(L+2)

Step-by-step explanation:

Let L be the length of the flower garden.

Then the width will be L-4.

The area of the flower garden = L*(L-4) =L²-4L

The area of the birdbath is 3*4 = 12 ft²

The area of the remaining space for planting is

= Area of flower garden - area of birdbath

L² - 4L - 12

We can factor the expression as follows:

L² - 4L - 12 L²-(6-2)L-12L²-6x+2x-12

taking common frome each two terms

L(L-6)+2(L-6)(L-6)(L+2)

Therefore, the number of feet left for planting is (L-6)(L+2) in factored form.

The constraints of a problem are listed below. What are the vertices of the feasible region? 2x+3y≥12 5x+2y≥15 x ≥ 0 y ≥ 0​

Answers

The vertices of the feasible region are (0 , 15/2) , (21/11 , 19/11) and (6 , 0)

Given, the constraints of a problem

2x+3y≥12

5x+2y≥15

x ≥ 0

y ≥ 0​

On solving the equations, we get

( 2x + 3y ≥ 12 ) × 2

( 5x + 2y ≥ 15 ) × 3

4x + 6y ≥ 24

15x + 6y ≥ 45

On subtracting, we get

11x ≥ 21

x ≥ 21/11

x = 21/11

On putting the value of x, we get

42/11 + 3y = 12

y = 19/11

Hence, the vertices of the feasible region are (0 , 15/2) , (21/11 , 19/11) and (6 , 0)

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Cómo saco el volumen de un cilindro?:(

Answers

Step-by-step explanation:

La fórmula para hacer este cálculo es muy sencilla, ya que el cilindro es una forma geométrica simple. Se trata de V = hπr2, lo que significa que hallaremos el volumen al tener la altura (h) y el radio (r). Los dos círculos son del mismo tamaño, así que puedes utilizar cualquiera de ellos como base

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