Brawdy Plastics, Inc., produces plastic seat belt retainers for General Motors at their 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.
Line Speed Number of Defective Parts Found
20 23
20 21
30 19
30 16
40 15
40 17
50 14
50 11
Required:
a. Use the least squares method to develop the estimated regression equation (to 1 decimal).
b. Predict the number of defective parts found for a line speed of 25 feet per minute.
Answers
Answer:
a. y = 27.5 - 0.3X
b. 20
Step-by-step explanation:
y = a + bX
usin the table in the attachment i added, we so for the regression equaion
n = 8
∑xy = 4460
∑x = 280
∑y = 136
∑x²= 10800
[tex]b=\frac{8(4460)-(280)(136)}{8(10800)-280^{2} } \\b=\frac{35680-38080}{86400-78400} \\b=\frac{-2400}{8000} \\b = -0.3[/tex]
from here we solve for a
[tex]a= \frac{136-(-0.3)(280)}{8} \\a =\frac{136+84}{8} \\a=\frac{220}{8} \\a = 27.5[/tex]
a. the estimated regression equation
y = 27.5 - 0.3X
b. at x = 25
y = 27.5 - 0.3(25)
y = 20 is the number of defective parts.
Related Questions
what is the third term of an arithmetic sequence whose second term is 7 and whose sixth term is 23
Answers
Answer: 11
Step-by-step explanation:
Given
The second term of an AP is 7
The sixth term of an AP is 23
Suppose a and d be the first term and common difference of the sequence
[tex]\Rightarrow 7=a+d\quad \ldots(i)\\\Rightarrow 23=a+5d\quad \ldots(ii)[/tex]
Subtract the above equations
[tex]\Rightarrow 23-7=5d-d\\\Rightarrow 16=4d\\\Rightarrow d=4[/tex]
Put d in equation (i)
[tex]\Rightarrow 7=a+4\\\Rightarrow a=3[/tex]
So, the third term of the AP is [tex]a+2d[/tex]
[tex]\Rightarrow 3+2\times 4=11[/tex]
Given kite RSTU. Please I need help ASAP.
Answers
So 26+ rus =90
Rus=64
hi can u pls help asap ty
Answers
Answer:
this is your proper answer ...
y= -4(x+5)^2+4[tex]y=-4(x+5)^2+4[/tex]
Answers
9514 1404 393
Answer:
x = -6 or -4
Step-by-step explanation:
Maybe you want to know the x-intercepts. They are found by ...
0 = (x +5)² -1 . . . . . divide by -4
1 = (x +5)² . . . . . . . add 1
±√1 = x +5 . . . . . . square root
-5 ± 1 = x . . . . . . subtract 5
x = -6 or -4
__
The vertex is (-5, 4). The parabola opens downward, so the vertex is a maximum. The range of the function is (-∞, 4]. The vertical scale factor is -4, so the graph will appear narrower than that of the parent function.
A blueprint of a house has a scale in which 1 inch equals 4 1/2 feet. If the living room wall measures 7 1/4 inches on the drawing, what is the actual length of the wall?
The actual length of the wall is ___ feet
Answers
Answer:
Step-by-step explanation:
1 : 4 1/2 :: 8 1/5 : x proportion
x = (4 1/2)(8 1/5) product of means/extremes
x = (9/2)(41/5) change improper fraction
x = 369/10 multiply
x = 36.9 change to decimal
The actual length is 36.9 feet.
Solve the following system of equations:
−2x + y = 1
−4x + y = −1
(3, 1)
(−1, 3)
(−1, −3)
(1, 3)
Answers
Answer:
(1,3)
Step-by-step explanation:
[tex]\sf Answer\begin{cases} \sf \rightarrowtail \: - 2x + y = 1 \dots(1) \\ \sf \rightarrowtail \: - 4x + y = - 1 \dots(2) \\ \sf 2 \times (1) \implies - 4x + 2y = 2 \\ \sf 1 \times (2) \implies - 4x + y = - 1 \\ \bf \star \: substracting \: both \\ \sf \rightarrowtail \: y = 3 \\ \sf \rightarrowtail \: -2x+(3)=1 \\ \sf \rightarrowtail \: -2x=-2 \\ \sf \rightarrowtail \: x=1\end{cases}[/tex]
Evaluate m - 16 when m = 30
Answers
[tex]m-16[/tex] when m is 30
Substitute for m with given value:
[tex](30)-16[/tex]
[tex]=\fbox{14}[/tex]
Answer:
Step-by-step explanation:
a.we can get the equation is m-16 = 30-16=10+20-10-6=10-6+20-10=4+10=14
answer is 14
Plzz help me Well Mark Brainliest if correct!
,
Answers
Answer:
B) 3:00
Step-by-step explanation:
Its B the answer is 3:00
I need help ASAP with this problem.
Answers
Using the arc length formula,
[tex]S=9\left(\frac{3\pi}{4} \right) \approx \boxed{21.2}[/tex]
hello i need help with question 5 please i need help
Answers
a) The total cost of buying the car with HST is given as follows: $36,160.
b) The amount of money saved by the customer leasing the car instead of buying is given as follows: $14,760.
c) The customer should lease a new car, as according to the two options in this problem, leasing is more economic than purchasing a new car.
How to obtain the costs?
The costs are obtained applying the proportions in the context of this problem.
The HST tax is the Ontario Sales Tax, which means that an additional 13% of taxes has to be paid when purchasing the car.
Hence the total cost of buying the car, considering the HST tax, is given as follows:
1.13 x 32000 = $36,160.
The costs for leasing the car are given as follows:
$1,000 down payment.48 payments of $425.Hence the total cost for leasing the car is given as follows:
1000 + 48 x 425 = $21,400.
Then the amount saved by the customers when he/she decides to lease the car instead of purchase is given as follows:
36160 - 21400 = $14,760.
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30% of what number is 33.0
Answers
6) Round off 78342 to the nearest thousand.
Answers
you can use a calculator if you want. No links please help this is very important i will give you brain thing if its correct
Answers
Step-by-step explanation:
1. move the decimal to make the numbers whole
0.25 - move to the right 2 times - 25
0.044 - move to the right 3 times - 44
2. Multiply 25 * 44 = 1,100
3. Add decimal
you moved the decimal 6 times in total for both numbers...so move the decimal 6 times starting from right.
Answer - 0.01100 or 0.011
Which expression can be simplified as 1/18n? (n2)9. (n^-9)-2. (n^-6)-3. (n^-6)-3. (n-3)^6
Answers
Answer:
[tex]\frac{1}{n^{18}} = (n^{-3})^6[/tex]
Step-by-step explanation:
Given
[tex]\frac{1}{n^{18}}[/tex]
Required
Determine its equivalent
[tex]\frac{1}{n^{18}}[/tex]
Express 18 as 3 * 6
[tex]\frac{1}{n^{18}} = \frac{1}{(n^{3})^6}[/tex]
This can be rewritten as:
[tex]\frac{1}{n^{18}} = (\frac{1}{n^{3}})^6[/tex]
Apply the following law of indices:'
[tex]\frac{1}{a^b} = a^{-b}[/tex]
[tex]\frac{1}{n^{18}} = (n^{-3})^6[/tex]
Hence;
(d) is correct
Answer:D
Step-by-step explanation: cause im big brain
Find cos(a) in the triangle.
Answers
Answer:
B.)
Step-by-step explanation:
cosine is adjacent/hypotenuse
24/25
Answer: 24/25 (choice B)
This is because cosine of an angle is the ratio of the adjacent and hypotenuse
So,
cos(angle) = adjacent/hypotenuse
cos(a) = 24/25
--------------
Extra info:
Something like 7/25 would be for the sin(a) value, and 7/24 is tan(a). The reciprocal of 7/24 leads to 24/7, which is the value of cot(a).
if the perimeter of an equilateral triangle is 12 inches ,what is the side length
Answers
Answer:
4 in.
Step-by-step explanation:
By definition of a equilateral triangle, all sides and interior angle measurements are congruent.
Essentially, all interior angles = 60°
By definition of a triangle, a triangle has 3 sides. It is given that the total measurement of the sides is 12. Divide 12 with 3: 12/3 = 4
4 inches is the side length.
~
Answer:
4
Step-by-step explanation:
12 ÷ 3 = 4
all the sides are equal
50 POINTS !!
PLEASE HELP !! ILL GIVE BRAINLIEST TO THE RIGHT ANSWERS.
Answers
Answer:
8.8
Step-by-step explanation:
To find the hypotenuse...
a²+b²=c²
C is the hypotenuse, so we add the others...
8.4²+2.6²=c²
70.56+6.76=c
77.32=c
Now, square root c to bring it to its original position.
√77.32=8.8
Your answer is 8.8 yards.
Mr. Smith has saved $1,800 each year for 20 years. A year after the saving period ended, Mr. Smith withdrew $7,500 each year for a period of 5 years. In the sixth and seventh years, he only withdrew $5,000 per year. In the eighth year, he decided to withdraw the remaining money in his account. If the interest rate was 6% per year throughout the whole period, what was the amount he withdrew at the end of the eighth year?
Answers
At the end of the eighth year, the amount Mr. Smith withdrew was $41,757.68.
How the ending withdrawal is determined?The amount that Mr. Smith withdrew at the end of the eighth year is a product of a series of computations, involving future value determination.
In this situation, we have used an online finance calculator to determine the future value of the investment at each leg.
First Leg:N (# of periods) = 20 years
I/Y (Interest per year) = 6%
PV (Present Value) = $0
PMT (Periodic Deposits) = $1,800
Results:
FV = $66,214.06
Sum of all periodic payments = $36,000 ($1,800 x 20)
Total Interest = $30,214.06
Second Leg:N (# of periods) = 5 years
I/Y (Interest per year) = 6%
PV (Present Value) = $,
PMT (Periodic Withdrawal) = $-7500
Results:
FV = $46,331.15
Sum of all periodic payments = $-37,500 ($7,500 x 5)
Total Interest $17,617.09
Third Leg:N (# of periods) = 2 years
I/Y (Interest per year) = 6%
PV (Present Value) = $46,331.15
PMT (Periodic Withdrawal) = $-5000
Results:
FV (Final Withdrawal) = $41,757.68
Sum of all periodic payments = $-10,000 ($5,000 x 2)
Total Interest = $5,426.53
Thus, the amount of $41,757.68 was withdrawn by Mr. Smith at the end.
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each day you do homework for m minutes and watch tv for 30 minutes. Which expression can you use to find how many minutes you do both activities.
Answers
Answer:
Let y be the expression for the minutes you do both activities.then
y=m+30 is the required expression
At the movies, my friend bought a drink and popcorn. The total cost of my friend's purchase was $15. The drink cost $6. Which equation represents the total cost of my friend's purchase, along with the cost of the popcorn?
15 - 6 = p; p = 21
p + 15 = 6; p = 9
6 + 15 = p; p = 21
p = 15 - 6; p = 9
Answers
Answer:
The correct equation is: 6 + p = 15; p = 9.
Step-by-step explanation:
In this equation, p represents the cost of the popcorn, and the equation states that the total cost of my friend's purchase (the cost of the drink plus the cost of the popcorn) is $15. Therefore, the cost of the popcorn must be $9.
Answer:
Option D)
Step-by-step explanation:
Overall cost of both the items = $15
Cost of the drink = $6
Cost of popcorn = p
To Find : The equation that represents the Overall cost and the cost of the Popcorn
p + 6 = 15
p = 15 - 6
p = 9
Hence , the correct answer is p = 15 - 6; p = 9
Someone please help me out
Answers
The figures for this problem are not scale drawings, as the ratios between the equivalent side lengths are different.
What is a dilation?A dilation happens when the coordinates of the vertices of an image are multiplied by the scale factor, changing the side lengths of a figure.
Hence, when a figure is a dilation of another figure, the two figures are scale drawings.
For this problem, the ratio between the bases of the rectangles is given as follows:
12/6 = 2.
The ratio between the height of each rectangle is given as follows:
6/2 = 3.
As the ratios are different, the two figures are not scale drawings of one another.
For them to be scale drawings, it would be needed either a ratio of 2 for the heights or a ratio of 3 for the bases.
More can be learned about dilation at brainly.com/question/3457976
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Solve (2 - x)^2 < 4/25
Answers
Answer:
8/5 < x< 12/5
Step-by-step explanation:
(2 - x)^2 < 4/25
Take the square root of each side
sqrt((2 - x)^2) <±sqrt( 4/25)
Make two equations
2-x < 2/5 2-x > -2/5
Subtract 2 from each side
2-x-2 < 2/5 -2 2-x-2 > -2/5-2
-x < 2/5 - 10/5 -x > -2/5 - 10/5
-x < -8/5 -x > -12/5
Multiply by -1, remembering to flip the inequality
x> 8/5 x < 12/5
8/5 < x< 12/5
A shipping container will be used to transport several 150-kilogram crates across the country by rail. The greatest weight that can be loaded into the container is 27500 kilograms. Other shipments weighing 8700 kilograms have already been loaded into the container. Use the drop-down menu below to write an inequality representing cc, the total number of 150-kilogram crates that can be loaded into the shipping container.
Answers
Answer:
Below
Step-by-step explanation:
(27500 - 8700) >= 150 x where x is the number of 150 kg containers
A line has a slope of 8 and crosses the y-axis at (0, 12). Express this line in slope-intercept form.
Answers
Answer:
y = 8x + 12
Step-by-step explanation:
Slope-intercept form is y = mx + b where m is the slope and b is the y-intercept.
The problem just handed you everything you need! Awesome!
Replace m with 8. Replace b with 12.
If a line crosses the y-axis at (0, b), then b is the y-intercept.
Telephone poles, spaced 100 feet apart, line the road on which Jesse lives. If Jesse runs from the first pole to the seventh pole, how many feet does he run? Draw a picture that illustrates the problem.
Answers
Answer:
She would have ran 700 feet.
Step-by-step explanation:
If there are many many poles, and she runs across 7 of them, that would be the number of poles multiplied with the distance: 7 x 100 = 700.
Solve 4x= If x=10
HURRY PLEASE ITS A TEST
Answers
Answer:
40
Step-by-step explanation:
4x
4(10)
Answer: 40
Step-by-step explanation:
If your good at compound interest i need help with this question 15
Answers
Answer:
4000
Step-by-step explanation:
10% of 3120 = 312
312 x 3 = 936
3120 + 936 = 4056
4056 rounded to the nearest thousanth = 4000
Mark as Brainliest
If the area of a circle is 31.36 pi, then what is its radius?
Answers
Answer:
5.6 units
Step-by-step explanation:
[tex]\boxed{area \: of \: circle = \pi {r}^{2} }[/tex]
Given that the area of the circle is 31.36π,
31.36π= πr²
Divide both sides by π:
31.36= r²
r²= 31.36
Square root both sides:
[tex]r = \sqrt{31.36} [/tex]
r= 5.6 units
Select the correct answer.
Write an expression to represent the sum of three times the square of a number and —7.
In your expression, what is the value of the constant?
Ο Α.
3
O B.
7
OC.
2
OD.
1
Answers
Answer:
3x^2-7
-7 is the constant
3 is the coefficient
x is the variable
Step-by-step explanation:
(3x^2)+(-7)
Simplify. 3(x+2y)+5x−y+1
A 8x+y+1
B 8x+5y+1
C 8x+7y+1
D 6xy+5x−y+1
Answers
Answer: 8 x + 5 y + 1
8x+5y+1
so that would be B)
Step by step.
3(x + 2y) + 5x -y + 1
PEMDAS is the rule of math order of operations. It says to perform parenthesis first. Distribute multiply 3 x both variables in ( ).
3x + 6y +5x -y +1
Now combine like terms
This means add x’s then y’s then constants.
You can only add like terms that are the same.
8x + 5y + 1
So B. Is your answer