If a sample of items is taken and the mean of the sample is out of control and the cause should be established producing high quality products.
The correct option is option (A).
When Statistical Process Control (SPC) samples an item and the mean of the sample is outside the control limits, the process is as follows. You don't have to worry within certain control limits using only natural sources of variation to produce under control within certain control limits. The process is said to be out of control and the cause should be investigated. That is, many sample points are outside the control limits, a sample of the item is taken, and the average of the samples is outside the control limits.
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Complete question:
In Statistical Process Control (SPC), if a sample of items is taken and the mean of the sample is outside the control limits, the process is:
a) out of control and the cause should be established producing high quality products b)in control and capable of producing within the established control limits in control,
c)there is no need for concern
d)within the established control limits with only natural causes of variation
Mitch sells thingamabobs. His revenue is modeled by the function
R(h) = 5h+8 for every h hours he spends working. His overhead cost is
modeled by the function C'′(h) = h² + 7h − 16. After how many hours does
he break even?
The number of hours to breakeven will be 5 hiurs
How to calculate the breakeven?The breakeven is the point at which the cost and the revenue are equal.
Since Mitch sells thingamabobs. His revenue is modeled by the function R(h) = 5h+ + 8 for every h hours he spends working and his overhead cost is modeled by the function C'′(h) = h² + 7h − 16.
This wll be:
Revenue = Cost
5h + 8 = h² + 7h - 16
Collect like terms
h² + 7h - 5h - 16 = 0
h² - 2h - 16 = 0
Solving the equation will give h as 5.
The number of hours will be 5 hours.
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Solve pls Brainliest
Answer:
C, D, E, and F
Step-by-step explanation:
C is correct because if you have a negative exponent in the denominator, you can make it positive by flipping the fraction over. Therefore, you end up with the simplified given expression.
D is correct because according to exponent rules, you subtract the exponents when you divide.
E is correct because they both equal 729 when calculated.
F is correct because the given expression equals 729 when calculated.
What is 8/15 simplyfied??
Answer:
8/15
Step-by-step explanation:
There is no GCF (greatest common factor) in this. These numbers are relatively prime.
The cost of 7 sandwiches and 5 milkshakes is $79. The cost of 2 sandwiches and 5 milkshakes is $44. How much does one sandwich cost and one milkshake cost?
Cost of one sandwich is $7 and cost of milkshake $5.
What is an equation?
In arithmetic, associate equation could be a formula that expresses the equality of 2 expressions, by connecting them with the sign =.
Main body:
According to question:
let cost of one sandwich be x and cost of milkshake be y .
7x + 5y = $79 -------(1)
2x + 5y = $44 -------(2)
subtracting equation 2 from 1 , we get
5x = 35
x = $7
so cost of one sandwich is $7.
now substituting value of x in equation 1 , we get
7(7) + 5y = 79
49 +5y = 79
5 y = 20
y = 4
so cost of one milkshake is $5.
Hence cost of one sandwich is $7 and cost of milkshake $5.
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Determine the x and y intercept:
X -3 -2 -1 0 1
y 0 2 4 6 8
The ratio of cats to dogs in a room is 4:5, If there are 20 cats in the room, how many dogs are there
Answer: 25 dogs
Step-by-step explanation:
We know that every 4 cats will be with 5 dogs
So
First, take 20 divided by 4 = 5
Then take 5 times 5 = 25 dogs
Hamza wants to create a bumper sticker with his design. Bumper stickers usually have a height of 3 1/2 inches. What will the width of his sticker be?
The width of the bumper sticker is 6 1/4 inches .
What is the width of the bumper sticker?In order to determine the width of the bumper sticker, the first step is to determine the relationship between the height of the design and that of the bumper sticker.
The relationship can be determined by dividing the height of the bumper sticker by the height of the design.
Proportion of the heights = 3 1/2 ÷ 2
5/2 ÷ 2
= 5/2 x 1/2 = 5/4 = 1 1/4
Now, multiply the proportion of the heights by the width of the design :
Width of the design = 1 1/4 x 5
5/4 x 5/1 = 25/4 = 6 1/4 inches
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Answer: 6 1/4
Step-by-step explanation: stickers that can be custom screen printed. The most common or average size is probably the 3″ X 11.5″
Doug bought a new car for $25,000. He estimates his car will depreciate, or lose value, at a rate of 20% per year. The value of his car is modeled by the equation V=P(1-r)^t, where V is the value of the car, P is the price he paid, r is the annual rate of depreciation, and t is the number of years he has owned the car. According to the model, what will be the approximate value of his car after 4 1/2 years
According to the equation model V=P(1-r)^t, the approximate value of Doug's car after 4¹/₂ years is $9,200.
What is the equation?The equation is a mathematical statement or model that shows that two mathematical expressions are equal.
In this situation, the mathematical expressions equal to each other are V, the car's depreciated value, and P(1-r)^t, which combines variables.
Cost of the new car = $25,000
Depreciation rate per annum = 20%
Value of the car = V
The price paid initially = P = $25,000
The annual rate of depreciation = r
Depreciation period = 4¹/₂ years
Equation model: V=P(1-r)^t
Depreciated value after 4 1/2 years, V = $25,000 (1 - 0.2)^4¹/₂
= $9,158.93
= $9,200
Thus, using the equation model, after 4¹/₂ years, the value of Doug's car has depreciated to $9,200.
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Find the equation of a line parallel to 4x + 4y = -28 that passes
through the point (−4, –4).
Oy-4=x-4
Oy+4= x +4
○y-4=− (x − 4)
Oy+4= (x+4)
Submit Answer
The equation of the line that passes through the point (-4,-4) is y=-x-8.
How to find equation of line?The general equation for every straight line is y = mx + c, where m is the gradient (or degree of steepness) of the line and c is the y-intercept (the point in which the line crosses the y -axis).
What are three equations of line?The three equation of line are slope-intercept form, standard form and point-intercept form.
4x+4y=-28
Taking 4 common and dividing both sides by 4 gives
x+y= -7
y=-x-7
This means slope that is m=-1.
Now to find c in y=mx+c we need to use points (-4,-4).
-4=(-1)(-4)+c
c=-8
So the equation of line is y=-x-8.
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If you score in the 75th percentile, what does this mean? Your score is 75% Your score is in the third quartile Your score was in the bottom half of the class 25% of the scores were lower than yours
Third or upper quartile, or 75th percentile, is another name for this group. The figure at which 25% of the responses are higher and 75% of the answers are lower is known as the 75th percentile.
A suitable compromise between representing the great majority of measures and being unaffected by outliers is the 75th percentile. The 75th percentile is a suitable choice for identifying medium- to long-term trends even if it is less steady than the median. Additionally, we believe that when establishing performance budgets, the 75th percentile is the ideal figure to employ. Although the term "percentile" is frequently used, it lacks a common definition. The most typical definition of a percentile is a number below which a predetermined proportion of scores fall. You may already be aware of your test score of 67 out of 90. But without you know the percentile you fall into, that number has no actual relevance. If you know that you scored in the 90th percentile, it signifies that you outperformed 90% of test-takers.
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if angle A=125 in the parallelogram below, what is the measure of angle B?
Answer:
angle B = 55°
.............
(2x^2 - 4x + 3) + (5x - 6x^2 - 1)
Answer:
The answer is (-4x² + x + 2)
Step-by-step explanation:
(2x² - 4x + 3) + (5x - 6x² - 1)
open the brackets
2x² - 4x + 3 + 5x - 6x² - 1
rearrange the priority order
2x² - 6x² - 4x + 5x + 3 - 1
combine like terms
-4x² + x + 2
Thus, The answer is (-4x² + x + 2)
Evaluate 1/2 (x ÷ 4) +y
Answer:
35
Step-by-step explanation:
four feet of wire is used to form a square and a circle. how much wire should be used for the square and how much should be used for the circle to enclose the maximum total area
The total maximum area enclosed by both the shapes square and a circle using given wire is equal to 2.27 square feet.
As given in the question,
Let 'x' be the side length of the square
And 'r' be the radius of the circle.
Length of the wire = 4 feet
Maximum side length of the square is:
4x = 4
⇒ x = 1feet
Maximum area of the square = x²
= 1²
= 1
Maximum radius of the circle is:
2πr = 4
⇒ r = 2 / π
Maximum area of the circle = πr²
= π × (2/π)²
= 4 / π
Total maximum area enclosed by square and a circle
= 1 + (4/π)
= 1 + 1.27
= 2.27 square feet.
Therefore, the total maximum area enclosed by square and a circle from the given wire is equal to 2.27 square feet.
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Which of the following pairs of linear equations are consistent or inconsistent XY 8 3x -- 3y 16?
The equations have no solutions and run parallel to one another. The pair of linear equations is hence inconsistent.
What are linear equations?Examples of linear equations include 2x - 3 = 0, 2y = 8, m + 1 = 0, x/2 = 3, and 3x - y + z = 3.
The definition of linear equations, the standard form for linear equations involving one variable, two variables, or three variables, and examples of each will all be covered in detail in this article.
Find the value of the variable that causes the equation to be true in order to solve linear equations.
Utilize the inverse of the variable's multiplier and divide or multiply both sides by it.
To obtain the variable value, simplify the result. Put your solution back into the equation to verify it.
So, we have the pair of linear equations:
x – y = 8 and 3x – 3y = 16
(a1/a2) = 1/3
(b1/b2) = -1/-3 = 1/3
(c1/c2) = 8/16 = 1/2
Since, we know that (a1/a2) = (b1/b2) ≠ (c1/c2).
The equations have no solutions and run parallel to one another. The pair of linear equations is hence incoherent.
Therefore, the equations have no solutions and run parallel to one another. The pair of linear equations is hence inconsistent.
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Complete question:
Find out whether the following pairs of linear equations x – y = 8 and 3x – 3y = 16 are consistent/inconsistent.
an automobile assembly line runs for 9 3/4 hours each day. employees work 3/4-hour shifts. how many shifts are there in each day
A. 9 shifts
B. 10 shifts
C. 12 shifts
D. 13 shifts
Answer:
D 13 shirt
Step-by-step explanation:
9 [tex]\frac{3}{4}[/tex] ÷ [tex]\frac{3}{4}[/tex]
[tex]\frac{39}{4}[/tex] x [tex]\frac{4}{3}[/tex] = 13
Can you help me with thiss
The correct answer is the quotient of six and Nineteen times a number. Option C
What is numbering system?
A number system is defined as a system of writing to express numbers. It is the mathematical notation for representing numbers of a given set by using digits or other symbols in a consistent manner. It provides a unique representation of every number and represents the arithmetic and algebraic structure of the figures
Given 6/19n
6/9 can be written as the quotient of six and nineteen multiply by a number
Quotient means that you divide something by another
A quotient means a ratio or one quantity being divided by another, or in algebraic terms (a/b).
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15 postcards and 10 envelopes = $1.7 envelope is 0.02 cents more expensive than postcard
Answer:
post cards cost .06 each and envelopes cost .08 each.
Step-by-step explanation:
Let p = the cost of the post cards
Let e = the cost of the envelopes
15p + 10e = 1.70
e = p + .02 Substitute p + .02 for e in the first equation
15p + 10(p + .02) = 1.70 Distribute the 10
15p + 10p + .2 = 1.70 Combine like terms
25p + .2 = 1.70 Subtract .2 from both sides
25p = 1.50 Divide both sides by 25
p = .06
Post cards cost .06 each.
Envelopes cost .08 each
Does the picture represent a function?
Yes or No
Answer: Yes
Step-by-step explanation: To determine if this graph represents a function, we use what is called the vertical line test.
In other words, if we can draw a vertical or straight up and down line that passes through more than one point on the graph, the relation is not classified as a function.
In this case, it's impossible to draw such a line that hits more than one point on the graph so the relation is a function.
3 times 1 1/2 times 2 1/2 
Answer:
6
Step-by-step explanation:
Trust the process
Graph the line that passes through the coordinates below and determine which statement is true.
A.
The line that passes through the given coordinates does not represent a proportional relationship because the line does not pass through the origin.
B.
The line that passes through the given coordinates represents a proportional relationship because the line does not pass through the origin.
C.
The line that passes through the given coordinates does not represent a proportional relationship because the line passes through the origin.
D.
The line that passes through the given coordinates represents a proportional relationship because the line passes
Answer:
The line that passes through the given coordinates does not represent a proportional relationship because the line does not pass through the origin.
The table of values below represents an exponential function. Find the constant ratio of successive y-values
Answer:
The answer is C, 1.5
Step-by-step explanation:
In order to find the constant ratio for successive y-values, you must divide a term by the preceding term.
7.5/5=1.5
Five times a number is 375. What is the number?
Answer:
75.
Step-by-step explanation:
We need to divide 375 by 5 since we are looking for 5 times a number. This will give us the answer, 75.
Answer:
75.
Step-by-step explanation:
We need to divide 375 by 5 since we are looking for 5 times a number. so the answer is 75
below are drawings of a wide and a narrow cylinder. the cylinders have equally spaced marks on them. water is poured into the wide cylinder up to the 4th mark (see a). this water rises to the 6th mark when poured into the narrow cylinder (see b). both cylinders are emptied, and water is poured into the narrow cylinder up to the 11th mark. how high would this water rise if it were poured into the empty wide cylinder?
The answer is to the 7 1/3 th mark.
Consider the provided question,
Since, in wide cylinder, water rises to 4th mark while in narrow cylinder same amount of water rises to 6th mark.
So, 6th mark on narrow cylinder = 4th mark on the wide cylinder which implies that 3rd on narrow cylinder = 2th mark on the wide cylinder
From the above,
Since, 3rd on narrow cylinder = 2th mark on the wide cylinder that means 1 mark on narrow cylinder is equal to 2/3 the of the 1st mark of the wider cylinder.
Hence the 11th mark of the narrow cylinder is equal to the
11 * 2/3 = 22/3 = 7 1/3 mark of the wider cylinder.
Hence, the correct answer is option to the 7 1/3th mark.
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Andrea is 165 cm tall, correct to the nearest cm. Joel is 170 cm tall, correct to the nearest 10 cm. Calculate the upper and lower bound for each person.
Andrea lower bound =
Andrea upper bound =
Joel lower bound =
Joel upper bound=
Answer:
Step-by-step explanation:
andrea lb: 164.5cm
andrea ub: 165.5 cm
joel lb: 165
joel ub: 175
1 What is the greatest common factor (GCF) of 2-53 and 3²-7?
How many solutions does this system of equations have?
Responses
Exactly two
Exactly two
None
None
Infinitely many
Infinitely many
Exactly one
Exactly one
Graph of a system of linear equations. Equation 1 is negative x plus 2y equals 6. Equation 2 is negative x plus 2y equals 0. The graphs of the lines are parallel.
Answer: Answer is NONE
Step-by-step explanation:
I took the test
one apple and six bananas cost £2.70
one apple and eight bananas cost £3.50
Work out the cost of an apple and a banana
PLSSS HELP TYSM
Answer:
An apple costs 0.30 pounds and a banana costs 0.40 pounds.
Step-by-step explanation:
Let's think of apples as x and bananas as y.
Using the given information, you can write two equations.
[tex]x+6y=2.70[/tex]
[tex]x+8y=3.50[/tex]
x can also be written as
[tex]x=2.70-6y[/tex]
We can plug this equation into the second one to solve for y, or the cost of a banana.
[tex](2.70-6y)+8y=3.50[/tex]
[tex]2y=0.8[/tex]
[tex]y=0.4[/tex]
Now that we know the cost of a banana, we can go back to the first equation and solve for x, or the cost of an apple.
[tex]x+6(0.4)=2.70[/tex]
[tex]x=0.30[/tex]
Therefore, an apple costs 0.30 pounds and a banana costs 0.40 pounds.
ssdfmsfamong treatments1743 435.751.27error total5503.4615step 6 of 8: what is the variation of the individual measurements about their respective means? please round your answer to two decimal places.
The variation of the individual measurements about their respective means is 2295.04.
Given that,
The table of the treatments and total amount is
SS DF MS F
Among Treatments 4974.88 621.86 2.98
Error ?
Total 7269.92 19
We have to find how do the various measurements differ from their respective means.
We know that,
We know the formula
SSE= SSTotal -SST
= 7269.92-4974.88
=2295.04
The variation of the individual measurements about their respective means is SSE that is 2295.04
Therefore, The variation of the individual measurements about their respective means is 2295.04.
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Find x, given
AD = BC = 6m.
The value of x in the trapezium is 60 degrees.
How to find the angle of a trapezium?A trapezium is a quadrilateral . The sum of angles in the trapezium is 360 degrees. The legs of the trapezium ABCD are congruent.
The length AB and CD are parallel to each other.
Let's find the angle x as follows:
Therefore, using trigonometric ratios,
cos x = adjacent / hypotenuse
Where
adjacent side = 3 m
hypotenuse side = 6 m
Hence,
cos x = 3 / 6
cos x = 1 / 2
x = cos ⁻¹ 0.5
x = 60 degrees
Therefore,
x = 60 degrees.
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