Plastic parts manufactured using an injection molding process may exhibit one or more defects, including sinks, scratches, black spots, and son on. Let x represent the number of defects on a single part, and suppose the distribution of x is as follows: x: 0 1 2 3 4 p(x): 0.79 0.09 0.05 0.04 0.03 What is the expected value, E(X), for the number of defects on a randomly selected plastic part

Answers

Answer 1

Answer:

The expected value for the number of defects on a randomly selected plastic part is 0.43.

Step-by-step explanation:

We have the following probability distribution:

P(X = 0) = 0.79

P(X = 1) = 0.09

P(X = 2) = 0.05

P(X = 3) = 0.04

P(X = 4) = 0.03

What is the expected value, E(X), for the number of defects on a randomly selected plastic part?

Each value multiplied by its probability. So

[tex]E(X) = 0.79*0 + 0.09*1 + 0.05*2 + 0.04*3 + 0.03*4 = 0.43[/tex]

The expected value for the number of defects on a randomly selected plastic part is 0.43.


Related Questions

The sum of-38 and a number is -21.
equation

Answers

Answer:

-38 + x = -21

Step-by-step explanation:

Since we don't know the number that -38 is being added to, we can suplement it in the equation with x.

Find the value of this expression if x = 5.

Answers

Hi there!  

»»————- ★ ————-««

I believe your answer is:  

5

»»————- ★ ————-««  

Here’s why:  

⸻⸻⸻⸻

[tex]\frac{x^2-5}{x-1}\\-----------\\\\\rightarrow \frac{(5)^2-5}{5-1}\\\\\rightarrow \frac{25-5}{5-1}\\\\\rightarrow\frac{20}{4}\\\\\rightarrow \boxed{5}[/tex]

⸻⸻⸻⸻

»»————- ★ ————-««  

Hope this helps you. I apologize if it’s incorrect.  

A salesman earned of sale of 10,500 and his commission rate is 5%.what is the commission of the salesman?

Answers

Answer:

$525

Step-by-step explanation:

To find the commision of the salesman, multiply the (commission rate over 100) by the sale amount.

Commission rate: 5%, so 5/100 = 0.05

then, 0.05*10500 = $525

Which of the following are remote interior angles of <6? Check all that apply.


Choices
A. 5
B. 1
C. 6
D. 4
E. 3
F. 2​

Answers

Answer:

Well you see Is this GCSE

Convert standard form to vertex form y=2+3x ^2

Answers

Answer:

y=3(x+0)^2+2

Step-by-step explanation:

The standard form of a parabola is y=ax2+bx+c y = a x 2 + b x + c . The vertex form of a parabola is y=a(x−h)2+k y = a ( x − h ) 2 + k .

You and three friends go to the local fair. You each buy a $3 food ticket and a stamp for unlimited rides. If the total cost for the four of you is $32, how much does the stamp for unlimited rides cost?

Answers

Answer:

its should be 23

because

3x3 is 9

9+23=32

Pls help. Abcdefghijklmnopqrstuvwxyz?????

Answers

Answer:

72

Step-by-step explanation:

Answer:

72

Step by Step Explanation:

By definition, the angle labeled as x and the angle labeled as 2x-36, when added, they're equal to 180.

You set up an equation to solve for x:

x+2x-36=180

3x-36=180

3x=216

x=72

How can the vertex of a parabola be used in solving
real-world problems?

Answers

Answer:

The vertex is the maximum or minimum point of the quadratic function. It can be used to solve real world problems optimization problems that can be modeled with quadratic functions

Step-by-step explanation:

hope this helps^^

brainliest maybe??<3

A washer and a dryer cost $885 combined. The washer costs $65 less than the dryer. What is the cost of the dryer?

Answers

I believe the cost of dryer is $377.50.

Simplify the linear expression. ​

Answers

Answer:

5a/3+1/8-a/6-1/2

Step-by-step explanation:

I would appreciate some help on this question

Answers

Answer:

AB = 38

BC = 4

Step-by-step explanation:

It kinda depends if the image is to scale or not

Seven more than twice a number is greater than negative nineteen. Find all numbers that make this statement true.
The answer is I (Type an inequality using x as the variable.)

Answers

Answer:

Hey there,

Let the unknown number be x

Here they say that ,

Seven more than twice a number,

2x + 7

Is greater than,

2x + 7 >

Negative 19,

2x + 7 > -19

Now solve for x

[tex]2x + 7 > - 19 \\ 2x > - 19 - 7 \\ 2x > - 26 \\ \frac{2x}{2} > \frac{ - 26}{2} \\ x > - 13[/tex]

So,

All the numbers which are greater than (-13) makes this statement true.

Examples

[tex]x = { - 12, - 11, - 10, - 9...} \\ [/tex]

Hope this helps you.

Let me know if you have any other questions :-):-)

All numbers that makes, the statement "Seven more than twice a number is greater than negative nineteen" True, are the numbers greater than -13.

Let us denote the unknown number as "x",

The given statement can be translated into an inequality as follows:

7 + 2x > -19,

Now, to solve for "x," we separate the variable by subtracting 7 from both sides of the inequality,

We get,

2x > -26

Divide both sides by 2:

We have,

x > -13

Therefore, any number greater than -13 would make the statement "Seven more than twice a number is greater than negative nineteen" true.

In interval notation, this would be written as (-13, ∞), indicating all real numbers greater than -13.

Learn more about Inequality here

https://brainly.com/question/26855203

#SPJ3

And-Which is a way to show sixteen?

Answers

Answer:

The answer will be 62

Step-by-step explanation:

52

{ } +10

61 (+1) 62 (+1) 63

{ } +10

72

Use the Theorem of Pappus to find the exact volume of a general cone created by rotating a triangle with vertices ( 0 , 0 ) , ( 1 , 0 ) , and ( 0 , 8 ) around the y -axis.

Answers

The exact volume of a general Cone is [tex]\frac{8\pi}{3}[/tex]

To solve this problem, we will make use of the second theorem of Pappus. This theorem is concerned with finding the volume produced when a plane shape is rotated around an axis ( the volume of the solid of revolution ).

The theorem states:

The volume of a solid of revolution obtained by rotating a lamina F (the triangle) about a non-intersecting axis (the y-axis) lying in the same plane is equal to the product of the area A of the lamina F and the distance d traveled by the centroid of F.

That is

[tex]V=A\times d[/tex]

When the centroid travels, it forms a circumference d given by,

[tex]d=2\pi r[/tex]

Therefore

[tex]V=A\times 2\pi r[/tex]

From the diagram below,

The vertices (or, corners) of the triangle are A(0, 0), B(1, 0), and C(0,8).

G is the centroid of the triangle. The centroid of the triangle is the geometric center of the triangle. The centroid would be the balance point if a pin were to be used to balance the triangle.

r is the distance from the centroid to the axis of rotation ( the y-axis in this case). It is like saying the radius of rotation.

The things we need to find are A (the Area) and r.

Calculate A:

[tex]A=\frac{1}{2} \left| \Delta \right|[/tex]

          [tex]\Delta = \left|\begin{array}{cc} x_{B}-x_{A} & y_{B}-y_{A} \\ x_{C}-x_{A} &y_{C}-y_{A}\end{array}\right|= \left|\begin{array}{cc} 1-0 & 0-0 \\ 0-0 & 8-0\end{array}\right|= \left|\begin{array}{cc} 1 & 0 \\ 0 & 8\end{array}\right|[/tex]

          [tex]\Delta =8\times 1 -0\times 0=8[/tex]

[tex]A=\frac{1}{2} \left|8\right|=\frac{1}{2}\times 8=4[/tex]

Calculate r:

[tex]r=\overline{x}=\frac{x_A+x_B+x_C}{3}=\frac{0+1+0}{3}=\frac{1}{3}[/tex]

Finally, Calculate the volume, V:

[tex]V=A\times 2\pi r=4 \times2\pi\times\frac{1}{3}=\frac{8\pi}{3}[/tex]

Learn more about centroids:  https://brainly.com/question/20305516

Write the equation of the parabola in vertex form.
vertex (3,3), point (2, - 1)

Answers

Step-by-step explanation:

The vertex form of a parabola is given by

[tex]y = a(x - h)^2 + k[/tex]

where (h, k) are the coordinates of the vertex of the parabola. So we can write our parabola as

[tex]y = a(x - 3)^2 + 3[/tex]

We know that our curve goes through the point (2, -1) so we can solve for the constant a as follows:

[tex]-1 = a(2 - 3)^2 + 3 \Rightarrow -1 = a + 3[/tex]

or

[tex]a = -4[/tex]

Therefore, the vertex form of the equation for the parabola is

[tex]y = -4(x - 3)^2 + 3[/tex]

Evaluate. 1 1/2+3/4÷(−1/3)−2/3 Enter your answer as a mixed number in simplest form

Answers

Answer:

-1 5/12

Step-by-step explanation:

1 1/2+3/4÷(−1/3)−2/3

3/2-2/3+3/4*3/-1

9-4/6-9/4

5/6-9/4

20-54/24

-34/24

-17/12

-1 5/12

Please help me somebody!

Answers

The answer is attached below

Sara started her homework at 5:30pm and finished it at 6:15pm.how much time did she take to finished her homework

Answers

Answer:

she took 45 mins on homework.

Answer:

45 min hope you get it right

Subtract. What is the difference (9 x 1010) – (4 x 1010) in scientific
notation?
?
(9* 1019) - (4 1019 = ? * 10
DONE

Answers

Answer:

5.05 x 10^3

Step-by-step explanation:

Why was Yellowstone National Park created?
A. to set aside land for animals as more people moved west
B. to protect bears from humans and other predators
C. to keep different types of animals together in one place
D. to stop people from moving further west

Answers

Answer:

Step-by-step explanation:

The answer is A. to set aside land for animals as more people moved west

[tex]f(x)=x^{2} -3x-10[/tex]

Answers

Answer:

Given

f(x) = 3x + 2

g(x) = (x + 3) / (2x - 10)

#1

g · f(x) =

g(f(x)) =

(3x + 2 + 3)/ (2(3x + 2) - 10) =

(3x + 5) / (6x - 6)

#2

f · g(x) =

f(g(x)) =

3[(3x + 2) / (2x - 10)] + 2 =

(9x + 6) / (2x - 10) + 2 =

(9x + 6 + 4x - 20)/ (2x - 10) =

(13x - 14) / (2x - 10)

Step-by-step explanation:

Tyler has two maps of Ohio

Answers

Answer:

that’s nice good for him

8 x 46 = 8 x (40 + ______)
= (8 x 40) + (______ x _______)
= _______ + ________
= ________

Answers

8x46=8x(40+6)
=(8x40)+(8x6)
=(320) + (48)
=368

What is the range of the function y=7^(x+4)-4? *

Answers

Answer:

The graph on the y-axis.  All real numbers ( any negative number and any positive number)

Step-by-step explanation:

A new movie theater holds 350 people with 14 seats in every row. Use division to find how many rows are there in the theater.

Answers

Answer:

25 rows

Step-by-step explanation:

Because if you divide 350 by 14 it gives you 25

Answer:

25

Step-by-step explanation:

350÷ 14 = 25.........

can I take a picture of my math problem

Answers

Answer:

You press the camera icon when asking a question

Step-by-step explanation:

Alexander has a collection of baseball cards he wants to organize into a book use the table to determine how many pages he will need to 234 cards

Answers

Answer:

what chart??????????????????????????????????????????

Step-by-step explanation:

A pet store has 7 cats. Here are their weights (in pounds).
8, 15, 11, 10, 11, 6, 7
Send data to calculator
Find the mean weight of these cats.
If necessary, round your answer to the nearest tenth.

Answers

Step-by-step explanation:

add 8,15,11,10,11,6,7 then the answer you get divide by 7

Answer:

The answer that has been rounded by the tenths is 9.7

From start to finish, a machine can fill a bottle of water, seal it, label it, and pack it in 8.6 seconds. About how many bottles of water are packed in 480 seconds? pls answer due today.

Answers

you divide 480 by 8.6 i think

A building has 2 front doors, 2 doors on the left side, 2 back doors and 2 doors on the right side. How many different ways can you enter and leave the building if you enter through the front door and then leave through any of the other doors?

Answers

12 because you can enter through 2 front doors. Let's call them A and B. You enter through A and you have 6 doors to leave through. You enter through B you have 6 doors to leave.

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