Brawdy Plastics, Inc., produces plastic seat belt retainers for General Motors at the Brawdy Plastics plant in Buffalo, New York. After final assembly and painting, the parts are placed on a conveyor belt that moves the parts past a final inspection station. How fast the parts move past the final inspection station depends upon the line speed of the conveyor belt (feet per minute). Although faster line speeds are desirable, management is concerned that increasing the line speed too much may not provide enough time for inspectors to identify which parts are actually defective. To test this theory, Brawdy Plastics conducted an experiment in which the same batch of parts, with a known number of defective parts, was inspected using a variety of line speeds. The following data were collected.
If required, enter negative values as negative numbers.
a. Select a scatter diagram with the line speed as the independent variable.
b. What does the scatter diagram developed in part (a) indicate about the relationship between the two variables?
c. Use the least squares method to develop the estimated regression equation (to 1 decimal). = + x d. Predict the number of defective parts found for a line speed of 25 feet per minute.
Line Speed Number of Defective Parts Found
20 23
20 21
30 19
30 16
40 15
40 17
50 14
50 11
Answers
Answer:
a. The scatter diagram created with he given data is attached
b. The scatter diagram indicates that the Number of Defective Parts found increases with Line Speed
c. The regression model is Y = 27.5 - 0.3·X
When the line speed is 25 feet per minute, the number of expected defective parts is 20 defective parts
Step-by-step explanation:
The give data is presented as follows'
Line Speed; [tex]{}[/tex] 20, 20, 30, 30, 40, 40, 50, 50
Number of Defective; [tex]{}[/tex] 23, 21, 19, 16, 15, 17, 14, 11
Parts Found
a. Please find attached the scatter diagram created with Microsoft Excel
b. From the scatter diagram there is an apparent correlation between increase line speed and the number of defective parts found
c. The equation for linear regression by the least squares method is presented as follows;
Y = a + b·X
Where;
[tex]b = \dfrac{N\sum XY - \left (\sum X \right )\left (\sum Y \right )}{N\sum X^{2} - \left (\sum X \right )^{2}}[/tex]
[tex]a = \dfrac{\sum Y - b\sum X}{N}[/tex]
From Microsoft Excel, we have;
∑X = 280, ∑Y = 136, ∑X² = 10,800, ∑XY = 4,460, (∑X)² = 78,400, N = 8
Plugging in the values, we get;
b = (8×4,460 - 280×136)/(8×10,800 - 78,400) = -0.3
a = (136 - (-0.3)×280)/8 = 27.5
Therefore, we have the linear regression as follows;
Y = 27.5 - 0.3·X
Therefore, when the line speed is 25 feet per minute, we have;
Y = 27.5 - 0.3 × 25 = 20
The number of defective parts expected to be found when the line speed is 25 feet per minute, Y = 20 defective parts.
Answer:
All parts are solved in the attached picture
Related Questions
what is 28.3 percent of 100?
Answers
Answer:
28.3%
Convert fraction (ratio) 28.3 / 100 Answer: 28.3%
You had it all along. If it is out of 100 then it is the same score you have.
Answer:
seems like a F if ur talking about grade wise. if not then its 28.3%.
which trigonometric functions are equivalent to tan θ
Answers
Answer:
i think its -tan(-0) I'm not sure sorry if you get it wrong
yo tenia $200, mi mamá tenia $100. mi papá me dió $300. mi tio y mi tia me dieron $1,000 y yo tenia otros $500, cuántos tenia?
Answers
Answer:
RESPUESTA: 700
Step-by-step explanation:
El problema dise que el tenía 200 y su mamá 100 más no dise que le dio sus tíos le dieron mil y el tenía otros 500 y la pregunta en si dise
cuantos tenía. Se refiere a pasado y no a cuanto tiene actualmente.
Así que 200 más 500 igual a $700
pls help.
which of the following substances are fluids?(choose more than one answer)
A.orange juice
B.water vapor
C. ice
D.Cabon dioxide
E.Rubber
F.Gasoline
G.Snow
H.Honey
Answers
Answer:
A.orange juice
F.Gasoline
H.Honey
Step-by-step explanation:
Answer:
Honey , .Gasoline,orange juice
Step-by-step explanation:
it deleted my answer.
Can I have help with this question?
Answers
Answer:
angle 1 will be 64° and angle 2 will be 116°
May so someone please help from 7-10 it’s 11 points I think
Answers
Answer:
7 / 2, or 3.5 is between 3 and 4.
28 / 5, or 5.6 is between 5 and 6
9/4, or 2.25, is between 2 and 3.
28 / 5, or 4.6, is between 4 and 5.
Step-by-step explanation:
To multiply a whole number by a fraction, the actual way to do it is to make the non-fraction over one. So, for example, if we were to do this:
2 * (1/2)
Set 2 as 2/1 (because they are equal)
(2/1) * (1/2)
Then, multiply the numerators together and denominators together.
= 1
But, we can also save time and multiply the non-fraction with the fraction's numerator.
2 * (1/2) =
(2 * 1) / 2 =
2 / 2 =
1
Let's apply this to the problems we have.
7) 5 * (7/10)
Multiply 5 and 7.
(5 * 7) / 10 = 35 / 10 = 7 / 2
This is the answer (unless you want it even more simplified, which would either be 3 and 1/2, or 3.5). However to find what numbers it is between, simplify it further.
7/2 = 3.5
7 / 2, or 3.5 is between 3 and 4.
8) 7 * (8/10)
Multiply 7 and 8.
(7 * 8) / 10 = 56 / 10 = 28/5 = 5.6
28 / 5, or 5.6 is between 5 and 6
9) 3 * (3/4)
Multiply 3 and 3.
(3 * 3) / 4 = 9 / 4 = 2.25
9/4, or 2.25, is between 2 and 3.
10) 6 * (4/5)
Multiply 6 and 4.
(6 * 4) / 5 = 23 / 5 = 4.6
28 / 5, or 4.6, is between 4 and 5.
I hope this helps! Feel free to ask any questions!
Espanos
Estimate a 10% tip on a bill of $132.17 by first rounding the bill amount to the nearest ten dollars.
Answers
Answer:
Tip= $13
Step-by-step explanation:
Giving the following information:
Tip rate= 10% = 0.1
Bill= $132.17
First, we need to round the bill by the nearest ten dollars. In this case, we round to the lower tenth:
Bill= 132.17 = 130
Now, we can determine the tip:
Tip= bill*tip rate
Tip= 130*0.1
Tip= $13
a salt container has the shape of cylinder the radius of the container is 1.5 inches and the height is 6 inches what is the surface area of the container?
Answers
Question 3 of 10
What is the measure of the reference angle for a -289° angle?
A. 19°
B. 89°
C. 71°
D. 289°
SUBMIT
Answers
Answer:
The answer is 71 degrees
Step-by-step explanation:
Answer:
C. 71°
Step-by-step explanation:
In order to find its reference angle, we first need to find its corresponding angle between 0° and 360°. This is easy to do. We just keep subtracting 360 from it until it's below 360. For instance, if our angle is 544°, we would subtract 360° from it to get 184° (544° – 360° = 184°).
In this case, our angle is -289°. 360 - 289 = 71°
Brad has 24 strands of blue holiday lights and 32 strands of white holiday lights. He wants to make displays of lights for customer's yards. Each display must have the same number of strands in it. Without mixing colors, what is the greatest number of strands of lights that Brad can put in each display?
Answers
Answer:
He could make 8 strands of 3 blue strands and 4 white strands lights
2 (4x + 3) when x = 3
Answers
Answer:
30
Step-by-step explanation:
2(4[3] + 3)
2(12 + 3)
2(15)
30
Answer:
=8x+6=
=8.3+6=
=24+6=
=30
Mr. Lopez had $75, he bought a gift for his wife for $45. What
percentage of his money did he spend on the gift for his
wife?
DUE TODAY
Answers
mr. walter is remodeling his house and wants to design a rectangular garden in the backyard. the width of the garden, W(A), in feet, is modeled by this equation, where A is the area of the garden, in square feet. (equation shown in image)
What is the rate of change of the garden’s width when the garden’s are changes from 289 square feet to 400 square feet?
Answers
Answer:
Step-by-step explanation:
It’s d sir
Answer:
correct option is D
Step-by-step explanation:
the length of a rectangle is 4 more than the width. if the perimeter of the rectangle is 57.2 inches find the length and the width of the rectangle
Answers
Answer:
Length = 16.3 in and Width = 12.3 in
Step-by-step explanation:
Let's name L the length and W the width of the rectangle. We can then write equations describing the statements given:
"the length of a rectangle is 4 more than the width"
L = W + 4
"the perimeter of the rectangle is 57.2 inches"
2 L + 2 W = 57.2
(where we used the formula for the perimeter of the rectangle equal to twice the rectangle's length plus twice the rectangle's width)
Now we use the first equation to substitute for L in the second one:
2 ( W + 4) + 2 W = 57.2
use distributive property to remove parenthesis
2 W + 8 + 2 W = 57.2
combine like terms
4 W + 8 = 57.2
subtract 8 from both sides
4 W = 57.2 - 8 = 49.2
divide both sides by 4 to isolate W
W = 49.2 / 4 = 12.3 in
Now we use this result in the first equation we wrote, to find L
L = W + 4 = 12.3 + 4 = 16.3 in
Therefore : Length = 16.3 in and Width = 12.3 in
What is
3
5
as a percentage?
Answers
Have a nice day
Answer:
step: 1. Convert the farction 3/5 into decimal
step: 2. 3/5 = 0.60
step: 3. Multiply the decimal by 100:0.60 × 100 = 60%
Therefore, the solution is 60%.
Step-by-step explanation:
To convert fraction to a percent, you just need to multiply the fraction by 100 and reduce it to percent.
what is the total amount of sap the trees produced that day?
Answers
Answer:
yep its 5gallons
Step-by-step explanation:
Find x
X + 50
X + 10
Answers
Explanation:
x+50+x+10+90+90=360
x + x = 120
x = 120/2
x= 60
Hope it’s right
Best luck with your studying
Answer:
x = 60
Step-by-step explanation:
(x + 50)° + (x + 10)° = 180° (interior angles on the same side of transversal)
(2x + 60)° = 180°
2x + 60 = 180
2x = 180 - 60
2x = 120
x = 120/2
x = 60
cual es la antiderivada de f (x)=3x-4?
Answers
BRAINLIEST! Please! Please! Please! I need help understanding how to figure it out!!!
Thanks
Answers
Given :
Volume of pyramid = 2,433,400 cubic meters
Height of pyramid = 138 meters
To find:
S = [tex]\sqrt{\frac{3v}{h} }[/tex]
Steps:
S = [tex]\sqrt{\frac{3v}{h} }[/tex]
S = [tex]\sqrt{\frac{3 * 2,433,400}{138} }[/tex]
S = [tex]\sqrt{\frac{2,433,400}{46} }[/tex] (dividing 138 by 3 gives 46)
S = [tex]\sqrt{\frac{1,216,700}{23} }[/tex] (dividing numerator and denominator by 2)
S = [tex]\sqrt{52900}[/tex]
S = 230 square meter
The equation is equal to 230 square meters
Happy to help :)
If you didn't understand any topic pls ask
I need help with this question fast!!
Answers
Answer: 36 square centimeters
Step-by-step explanation: Hey there! Let's cut the shape in half horizontally. 6 times 4 for the top portion is 24 square centimeters. We subtract 6 cm from the top by 2 cm from the lower part to get the length of the bottom rectangle. We do 4 times 3 for the area of the bottom rectangle which is 12 square centimeters. Finally, we add 24 sq cm and 12 sq cm to get 36 square centimeters. (I tried my best!)
Simplify the answer 4 times 3/4
Answers
Answer:
3
Step-by-step explanation:
4*3/4 is basically 4*3=12/4 which is 3
Answer:
3
Step-by-step explanation:
3/4*4=12/4
12/4 diveded by 4 is 3
help. plz. i really need it
Answers
What is m
angle 1?
35°
40°
55°
70°
Answers
9514 1404 393
Answer:
(b) 40°
Step-by-step explanation:
Angle x and the one marked 70° are alternate interior angles, so are congruent. The sum of the two base angles of the isosceles triangle is ...
x° +x° = 70° +70° = 140°
So, the remaining angle 1 in the triangle is ...
180° -140° = 40°
∠1 = 40°
find the area of the shape i need ANSWER now plssss
Answers
Answer:
72 yd
Step-by-step explanation:
12 x 3=36
6 x 6=36
36 + 36= 72
Answer:
72 yd
Step-by-step explanation:
9×(12-6) = 54
3×6 = 18
54+18 = 72
HELP
A population has a standard deviation of 3.26. What is the approximate standard error of the mean for a sample size of 35?
A. 1.65
B. 0.55
C. 0.09
D. 1.10
Answers
Answer:
E
Step-by-step explanation:
Please anyone help me on this
Answers
Answer:
expand (f-g)(-6)
Expand by distributing terms.
-6f-6\times -g
−6f−6×−g
Regroup terms.
-6f-(-6g)
−6f−(−6g)
Remove parentheses.
-6f+6g
−6f+6g
Step-by-step explanation:
HELP IM TIMED ILL MARK BRAINLIEST
Which solution set is graphed on this number line
Answers
Answer:
x<1, C
Step-by-step explanation:
ily ! have a good day, i hope i'm right lol
Help me outttttt !!!!!!!!
Answers
Please need help on this one h as be no clue how to do this
Answers
Answer:
y = -2x
Step-by-step explanation:
Find the slope and y-intercept to write an equation in the form y = mx + b
Slope = - 20/10 so -2, m = -2 since the line goes down to the right
Then it crosses the y-axis at (0,0) so b = 0 [which is the y value]
Put it all together y = -2x + 0 so y = -2x
A small publishing company is releasing a new book. The production costs will include a one-time fixed cost for editing and an additional cost for each book printed. The total production cost (in dollars) is given by the function c = 19.95N+550, where N is the number of books.
The total revenue earned (in dollars) from selling the books is given by the function R= 34.60N.
Let P be the profit made (in dollars). Write an equation relating P to N . Simplify your answer as much as possible.
Answers
Answer:
A small publishing company is planning to publish a new book. The production costs will include one-time fixed costs (such as editing) and variable costs (such as printing). The one-time fixed costs will amount to $17,750 . The variable costs will be $12.75 per book.
Step-by-step explanation:
The equation that should be related P to N is 13.75N - 550.
Calculation of the equation:Since The total production cost (in dollars) is given by the function c = 19.95N+550, where N is the number of books. The total revenue earned (in dollars) from selling the books is given by the function R= 34.60N.
So here the equation could be
Profit = Revenue - cost
= 33.70N - 19.95N - 550
= 13.75N - 550
hence, The equation that should be related P to N is 13.75N - 550.
Learn more about an equation here: https://brainly.com/question/24569174