The statement that correctly describes finding and correcting an assignable cause variation represents only an improvement in the system is as follows:
A) Both returns the system from an unstable to a stable state, and represents an improvement in the system.
Explanation:
In statistical process control, the terms Type I error and Type II error are commonly used.
Type I errors occur when a process is in a stable state, but the system detects a change that has not occurred.
Type II errors occur when the system fails to detect a change that has occurred.
Therefore, a finding and correcting an assignable cause variation represents both returning the system from an unstable to a stable state and represents an improvement in the system. This statement is in agreement with the understanding of assignable cause variation and its impact on the stability of the system.
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A tennis match requires that a player win three of five sets to win the match. If a player wins the first two sets, what is the probability that the player wins the match, assuming that each player is equally likely to win each set
Using it's concept, it is found that there is a 0.875 = 87.5% probability that the player wins the match.
What is a probability?A probability is given by the number of desired outcomes divided by the number of total outcomes.
In this problem, these following outcomes result in the player winning the match:
Wins the third set, with 0.5 probability.Loses the third set but wins the fourth, each with 0.5 probability.Loses the third and fourth sets but wins the fifth, each with 0.5 probability.Hence, the probability that he wins the match is given as follows:
p = 0.5 + 0.5² + 0.5³ = 0.875.
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Consider the following vector field.
F(x, y, z) =
9ex sin(y), 2ey sin(z), 8ez
sin(x)
(a)
Find the curl of the vector field.
curl(F) =
(b)
Find the divergence of the vector field.
div(F) =
The curl of the vector field
curl(F) = -2ey cos(z)i + 8ez cos(x)j - 9ex cos(y)k
The divergence of the vector field
div(F) = 9e^x sin(y) + 2e^y sin(z) + 8e^z
To find the curl of the vector field F(x, y, z) = 9ex sin(y), 2ey sin(z), 8ez sin(x), we need to compute the determinant of the curl matrix.
(a) Curl of F:
The curl of a vector field F = P(x, y, z)i + Q(x, y, z)j + R(x, y, z)k is given by the following formula:
curl(F) = (∂R/∂y - ∂Q/∂z)i + (∂P/∂z - ∂R/∂x)j + (∂Q/∂x - ∂P/∂y)k
In this case, we have:
P(x, y, z) = 9ex sin(y)
Q(x, y, z) = 2ey sin(z)
R(x, y, z) = 8ez sin(x)
Taking the partial derivatives, we get:
∂P/∂y = 9ex cos(y)
∂Q/∂z = 2ey cos(z)
∂R/∂x = 8ez cos(x)
∂R/∂y = 0 (no y-dependence in R)
∂Q/∂x = 0 (no x-dependence in Q)
∂P/∂z = 0 (no z-dependence in P)
Substituting these values into the curl formula, we have:
curl(F) = (0 - 2ey cos(z))i + (8ez cos(x) - 0)j + (0 - 9ex cos(y))k
= -2ey cos(z)i + 8ez cos(x)j - 9ex cos(y)k
Therefore, the curl of the vector field F is given by:
curl(F) = -2ey cos(z)i + 8ez cos(x)j - 9ex cos(y)k
(b) Divergence of F:
The divergence of a vector field F = P(x, y, z)i + Q(x, y, z)j + R(x, y, z)k is given by the following formula:
div(F) = ∂P/∂x + ∂Q/∂y + ∂R/∂z
In this case, we have:
∂P/∂x = 9e^x sin(y)
∂Q/∂y = 2e^y sin(z)
∂R/∂z = 8e^z
Substituting these values into the divergence formula, we have:
div(F) = 9e^x sin(y) + 2e^y sin(z) + 8e^z
Therefore, the divergence of the vector field F is given by:
div(F) = 9e^x sin(y) + 2e^y sin(z) + 8e^z
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need help with this too-
Don jacinto tiene 230 libretas y 300 borradores en cada una. Para saber cuantos borradores tiene en total don jacinto multiplico 12 por 300. Sin borrar lo que esta en la calculadora pregunta que operacion debe hacer don jacinto para saber la cantidad de borradores que ahi en 4 cajas ayuda plis dime la operacion y resultado
Hay 1200 gomas de borrar en total en las 4 cajas.
Para saber la cantidad de gomas de borrar que hay en 4 cajas, Don Jacinto necesita multiplicar la cantidad de gomas de borrar en cada caja (300) por la cantidad de cajas (4).
La operación que debe hacer es:
300 * 4
El resultado de esta multiplicación es:
300 * 4 = 1200
Es importante notar que en el escenario dado, la información inicial acerca de que Don Jacinto tiene 230 cuadernos no es relevante para encontrar el número de borradores en las 4 cajas. Solo necesitamos considerar el número de gomas de borrar en cada cuadro (300) y el número de cajas (4) para realizar la multiplicación y calcular el número total de gomas.
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Your cookie recipe calls for 34 cup of flour. You want to make 3 batches of cookies. Which diagram shows how much flour you need?
Using proportions, it is found that the third diagram shows how much flour you need.
What is a proportion?A proportion is a fraction of a total amount, and the measures are related using a rule of three. Due to this, relations between variables, either direct or inverse proportional, can be built to find the desired measures in the problem.
In this problem, we have that one batch takes 3/4 of a cup of flour. How many cups are needed for three batches? Applying the proportion and multiplying, we have that:
3 x 3/4 = 9/4 cups = 2 and 1/4 of cup.
Hence, researching the problem on the internet, the third diagram shows how much flour you need.
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if john gets 1 apple and already has 20 in a basket how many do you have in total.
Answer:
21
Step-by-step explanation:
the reason it is 21 is because u have 20 then u add 1 so it is 21 20+1=21
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John already has 20 apples. If John gets 1 more apple, he would have 21 apples in total.
The word gets means addition. 20 plus 1 equals 21.
John has 21 apples after he gets another apple.
Ok technically I would have 0 apples since I didn't receive any only John did.
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Mixed nuts sell for $7.89 a pound. Leticia fills a bag and weighs it. The bag weighs 2.3 pounds. About how much will the bag of nuts cost? Estimate $7.89(2.3). The bag of nuts will cost about .
Answer:
About $16
Step-by-step explanation:
To find the answer first round the weight from, 2.3 to 2. Next round the price per pound from $7.89 to 8.00. Last, multiply the weight of the bag by the price per pound. I hope this was helpful. Have a wonderful day!
Answer:
the person above me is right give them 5 stars and thanks.
Step-by-step explanation:
a parameter that represents the amount of spread of individuals in the entire population of interest, which is typically unknown is group of answer choices the (true) standard error. the sample standard deviation. the estimated standard error. the population mean. the population standard deviation.
A parameter that represents the amount of spread of individuals in the entire population of interest, which is typically unknown is the population mean.
What is meant by population mean?The population mean can be determined by dividing the total number of values in the given data/population by the sum of all values in the data/population. The whole sum of the numbers is referred to as summation. The μ sign stands for the population mean.
The average calculated from the entire group, distribution, or population is known as the population mean. It is calculated by dividing the sum of all population variables by the total population of variables. Here, μ exists the population mean. ∑X exists the sum of all the observations in the population.
The population mean is a quantity that expresses the population's overall degree of individual variation, which is often unknown.
Therefore, the correct answer is option c) the population mean.
The complete question is:
a parameter that represents the amount of spread of individuals in the entire population of interest, which is typically unknown is group of answer choices the (true) standard error.
a) the sample standard deviation.
b) the estimated standard error.
c) the population mean.
d) the population standard deviation.
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Yes please help use the image down the below and find permiater
Answer:
16 +2√2 units
Step-by-step explanation:
You want the perimeter of the shape shown.
PerimeterThe perimeter is the sum of the lengths of the segments forming the boundary of the shape. There are ...
4 horizontal segments at the top
6 horizontal segments at the bottom
3 vertical segments on the left side
3 vertical segments on the right side
2 diagonal segment with length √2 units
The total of these lengths is the perimeter: 16 +2√2 units.
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6-8 weeks i hope this help:)
Answer:
I have no idea but okay
which of the ten basic functions in our toolkit have end behaviour?
(A) ln(x), |x|, x (B) X^2, cos (x), e^x
(C) 1/x, sin (X), x^3 (D) 1/x, cos(x), sin(x)
The fundamental οperatiοns in οur tοοlbοx with end behaviοur are (B) x², cοs(x), and ex. 1/x, sin(x), and x³ (C). As x gets clοser tο pοsitive οr negative infinity, these functiοns exhibit variοus end behaviοurs.
A οne-οne functiοn: what is it?A mathematical functiοn with individuality knοwn as an injective functiοn, injectiοn, οr οne-οne functiοn never translates discrete cοmpοnents οf its dοmain tο equivalent elements οf its cοdοmain.
What dοes functiοn mean in math class 12?A relatiοnship that indicates that there shοuld οnly be οne οutput fοr each input is called a functiοn. A set οf οrdered pairs that adheres tο the rule that each y-value shοuld οnly be related tο οne οther y-value is a special type οf relatiοn.
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What is 1/5 of 40,000
Answer:
8000
Step-by-step explanation:
\(\frac{1}{5}*40000=\frac{40000}{5}=8000\)
PLEAS HELP ASAP 50 POINTS IF RIGHT: A landscaper is creating a bench for a pool deck. A model of the bench is shown in the image.
A rectangular prism with dimensions of 7 feet by 3 feet by 4.8 feet.
Part A: Find the total surface area of the bench. Show all work. (6 points)
Part B: The landscaper will cover the bench in ceramic tiles except for the bottom that is on the ground. If the tiles cost $0.89 per square foot, how much will it cost to cover the bench? Show all work. (6 points)
Part A: To find the total surface area of the rectangular prism, we need to calculate the areas of all six faces and then add them together.
Given dimensions:
Length = 7 feet
Width = 3 feet
Height = 4.8 feet
Surface Area of each face:
Front and back faces: Length * Height
= 7 feet * 4.8 feet
= 33.6 square feet
Top and bottom faces: Width * Length
= 3 feet * 7 feet
= 21 square feet
Side faces: Width * Height
= 3 feet * 4.8 feet
= 14.4 square feet
Total Surface Area:
2 * (Front and back faces) + 2 * (Top and bottom faces) + 2 * (Side faces)
= 2 * 33.6 square feet + 2 * 21 square feet + 2 * 14.4 square feet
= 67.2 square feet + 42 square feet + 28.8 square feet
= 137 square feet
Therefore, the total surface area of the bench is 137 square feet.
Part B: To calculate the cost of covering the bench with ceramic tiles, we need to multiply the total surface area by the cost per square foot.
Cost per square foot = $0.89
Total Surface Area = 137 square feet
Total cost to cover the bench:
= Cost per square foot * Total Surface Area
= $0.89 * 137 square feet
= $121.93
Therefore, it will cost $121.93 to cover the bench with ceramic tiles.
another trig thing to help with
Answer:
Step-by-step explanation:
y = 2.5 sin \(\frac{2}{3}\) x
a = 2.5
b = \(\frac{2}{3}\)
david has d books, which is 3 times as many as jeff and i as many as paula. how many books do the three of them have altogether, in terms of d?
David, Jeff, and Paula have (7d)/3 books.
To find out how many books David, Jeff, and Paula have altogether in terms of d, we can use the given information as follows:
1. David has d books.
2. David has 3 times as many books as Jeff, so Jeff has d/3 books.
3. David has the same number of books as Paula, so Paula also has d books.
Now, to find the total number of books for all three of them, we simply add the number of books each person has:
Total books = David's books + Jeff's books + Paula's books
Total books = d + d/3 + d
To combine these terms, we can find a common denominator (in this case, 3):
Total books = (3d + d + 3d) / 3
Now, we can simplify the expression:
Total books = (7d) / 3
So, altogether, David, Jeff, and Paula have (7d)/3 books in terms of d.
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The angle of elevation of top of a tower from a point on the ground, which is 30 m away from the foot of the tower is 30°. The length of the tower is a.√3 m b.2√3 m c.5√3m d.10√3 m
Answer: d
Step-by-step explanation:
Note that the distance to the tower and the height of the tower create a right triangle at the base of the tower. The equation to find the height of a right triangle is to multiply the length times the tangent of angle β.
Given:
b = a · tanβ
tan(30°) = √3/3
Step 1: Solve
b = (30/1) · (√3/3)
b = (30 · √3) / (1 · 3)
b = (30√3) / (3)
b = 10√3
you are playing rock , paper , scissors with your friend . what is the probability that your will throw something other than rock ?
A. 1/2
B. 2/3
C. 1
D. 1/3
Answer:
2/3
Step-by-step explanation:
6_7/8 + 9_5/16 pls help
Answer:
it is 16_3/6
Step-by-step explanation:
basic addition.
A vector
A
has components A
X
=83 m and A
y
=32 m. What is the magnitude of vector
A
?
The magnitude of vector A of the following components AX and AY is 88.95m
In this question we will apply the pythagoras theorem which will be depicted as
\(R = \sqrt{AX^{2} + AY^{2} }\) . . . . . . . . . (1)
where , R = resultant magnitude of vector
AX and AY are the components of vector
As per the question
AX = 83m
AY = 32m
Putting the values in the equation (1) we get
\(R= \sqrt{83^{2} +32^{2} }\)
\(R =\sqrt{6889+1024}\)
\(R=\sqrt{7913}\\\)
R = 88.95m
Thus the magnitude of vector A for the following components is 88.95m
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What is the measure of the missing angle
Answer:
45 degrees xxxxxxxxxx
Step-by-step explanation:
simple geo
What is the total area of the figure below?
Step-by-step explanation:
As we know that,
In area of triangle , breadth =6inch,similarily ,height =8inch
now ,
Area of triangle = 1/2 ×b×h
= 1/2 × 8 ×6
=24inch^2
also,
In another figure,we can say
a=10 inch,b=16 inch and h=9 inch
similarly,
Area of trapizium = 1/2 h(a+b)
= 1/2 ×9(10+16)
=9/2 ×26
=9×13
=117inch^2
now ,
total area of figure =117 +24 =141inch^2
therefore,total area of figure is 141 inch^2
the table describes some of the solutions of the inequality 3m>21. Which graph best describes the solutions of 3m>21?
Answer:
Option 3
Step-by-step explanation:
Given inequality is,
\(3m\geq 21\)
To find the solutions of the given inequality solve this inequality first.
\(\frac{3m}{3}\geq \frac{21}{3}\)
\(m\geq 7\)
This inequality will be represented by an arrow starting from 7 and directing towards infinity.
Since, inequality is having a sign notation of greater than equal to, arrow will start with a dark circle located at 7.
Therefore, Option 3 (from the top) will be the answer.
What's the slope for (-3,8) and (0,4)
Answer:
The slope of (-3, 8) and (0, 4) is -4/3.
Answer:
It would be -4/3
Step-by-step explanation:
Using the equation \(\frac{y2-y1}{x2-x1}\) 4-8=-4 and 0-(-3)= 3 therefore -4/3.
Please help me only serious answers ☺️
Answer:
Parallelogram
Result
Area = b × h
= 5.5 × 11
= 60.5 feet260.5 cm²Solve the equation: -29.5u+548=2,023
Answer:
U=-50
Step-by-step explanation:
Explain why statistical acceptance sampling is not an effective method for monitoring process quality.
Acceptance sampling is a statistical method used to monitor the quality of purchased parts and components. To ensure the quality of incoming parts, a purchaser or manufacturer normally samples 20 parts and allows one defect.
a) Concerned with inspection of products
b) Concerned with decision making regarding products
c) One of the oldest aspects of quality assurance
The Acceptance sampling procedure is necessarily a lot sentencing procedure. It cannot be used to estimate the lot quality or lot conformity to the standard specifications.
The acceptance sampling is used when the test is destructive, or the cost of 100% inspection is quite high, or when we need a continuously monitoring program
The Acceptance sampling procedure is used for decision making of either acceptation or rejection of a lot. It can’t be used as a lot quality estimator
As Acceptance sampling is just a lot sentencing process, it can’t estimate the quality of products in the lot. But designed experiments ensure good quality of the process output before even production
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Laquan will give each guest at his party ¹⁄₂ of a cake. How many cakes should he order if 17 people are attending his party?
Answer:
9 cakes
Step-by-step explanation:
If each of the 17 people will eat 1/2 of a cake, you would 17*1/2 cakes. This is 17/2, or 8.5. You cannot usually order 8.5 cakes, so you would round up. 9 cakes.
a pie chart is a segmented circle that portrays the categories and relative sizes of some numerical variable. True or false?
True. A pie chart is a segmented circle that represents different categories and their relative sizes based on a numerical variable.
A pie chart is a circular statistical graphic divided into sectors, or "slices," which correspond to different categories or groups. The size of each sector is proportional to the value it represents within the given numerical variable. The chart is named after its resemblance to a sliced pie, with each slice representing a portion or percentage of the whole. Pie charts are commonly used to display data with discrete categories, such as survey results, market shares, or budget allocations. The length of each sector's arc is determined by the magnitude of the data it represents, allowing for easy visual comparison between categories. The whole pie represents 100% or the total of the variable being measured. By examining the relative sizes of the sectors, one can quickly understand the distribution and proportions of the categories being represented. Therefore, it is accurate to say that a pie chart is a segmented circle that portrays the categories and their relative sizes based on a numerical variable.
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Define a function m that determines Tim's vertical distance above the horizontal diameter of the Ferris wheel (in radii) in terms of the number of seconds elapsed, t , since Tim started to rotate from the 3 o'clock position.
The function m(t) determines Tim's vertical distance above the horizontal diameter of the Ferris wheel, measured in radii, in terms of the number of seconds elapsed, t, Tim started to rotate from the 3 o'clock position.
The Ferris wheel can be visualized as a circle, with the horizontal diameter representing the ground level. As Tim rotates on the Ferris wheel, his vertical distance above the ground level changes.
To determine Tim's vertical distance in terms of time, we can use a sine function to model the motion. The sine function oscillates between -1 and 1, with a period of 2π radians. If we consider the starting point at the 3 o'clock position as 0 radians, the equation for the function m(t) can be written as m(t) = sin(t).
In this equation, t represents the number of seconds elapsed since Tim started rotating from the 3 o'clock position. As t increases, Tim's vertical distance above the horizontal diameter will vary sinusoidally. The values of m(t) will range between -1 and 1, with 0 representing the horizontal diameter.
By using the sine function, we can determine Tim's vertical position at any given time t, measured in radii.
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please help me thank you
Answer: 37
Step-by-step explanation:
f(-7)= -(-7)^2 - 10(-7)+16=
f(-7)= -49 + 70 + 16=
37