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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Expand and simplify
√2(3-4√2)
[tex]3\sqrt{2} - 4 * (\sqrt{2})^2 = 3\sqrt{2} - 8[/tex]
Answer = [tex]3\sqrt{2} - 8[/tex]
1.
A factory stacks boxes according to their weights. To provide stability to the stacks of boxes, heavier boxes are placed at the bottom of the stack, and lighter boxes are placed at the top. However, because of the boxes’ material, a box can only be placed on top of another if its weight is exactly half the weight of the lower box. Also, due to the height of the warehouse ceiling, boxes can only be stacked 4 levels high. The factory director has asked for your help in answering some questions about these boxes.
a. Explain how you would find the weight of each stacked box if you knew the weight of the bottom box. Find the weight of each box in a stack of 4 boxes if the bottom box weighs 10 pounds.
b. Eventually, these stacks of boxes will go onto pallets for shipping. We need to know how much each stack weighs in order to know how many stacks we can put on each pallet, but the bottom boxes do not necessarily weigh 10 pounds. In fact, we don’t know how much they weigh at all! Write and simplify an expression to find the weight of one stack of 4 boxes based on the unknown weight of the bottom box.
c. Each stack needs to weigh less than 100 pounds. Write and solve an inequality to find the maximum weight of the bottom box. What would be the possible range of weights for this box? It may help you to consider a graph of the solution to your inequality.
I rlly need help for c, I got the other 2.
find the surface area a planet if its circumference is about 18,000 miles long. Round to the nearest thousand square miles
The surface area of the planet is 103,184,713.4 miles².
What is the surface area?A planet has the shape of a sphere.
The first step is to determine the radius of the planet from the circumference.
Radius = circumference / (π x 2)
18,000 / (3.14 x 2) = 2,866.24 miles
Surface area of a sphere = 4πr²
4 x 3.14 x ( 2,866.24²) = 103,184,713.4 miles²
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does anyone know how to do this ?
this is your answer
I hope you get your answer
Describe the pattern that you see in the table for the right column. Please help me describe it in complete sentences. Extra points!
The pattern on the table is x increases:
The sine of x increasesThe cosine of x increasesThe function sin²(x) + cos²(x) remains constantHow to describe the pattern?The functions on the table of values are:
sin(x), cos(x) and sin²(x) + cos²(x)
To describe the pattern, we simply observe how the values of the function change, as x increases.
As x increases, on the table:
The sine of x increasesThe cosine of x increasesThe function sin²(x) + cos²(x) remains constantRead more about trigonometry functions at:
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If the critical z-value for a hypothesis test equals 2.45, what value of the test statistic would provide the least chance of making a Type I error
2.46
A Type I error is rejecting the null when it is true.
If the critical value is 2.45, and you have a test statistic of 2.46, you have the least chance among the other choices of rejecting the null and it happens to be true.
We got another hypothesis here and our alternative that is less than five. So that's how we're gonna write it.
We're gonna be looking at a left tail test since it's less than the mean, Our means, always going to be in the middle here. And what we're trying to calculate is the probability that this is true.
The level of significance which is selected in
Step 1 (e.g., α =0.05) dictates the critical value.
For example, in an upper-tailed Z test, if α =0.05 then the critical value is Z=1.645.
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please help me on this
Venn Diagram:
41 - 14 = 27 for only cats63 - 14 - 27 = 22 for only dogs100 - 27 - 22 - 14 = 37 outsideNeither a cat or dog: 37/100
A dog: (22+14)/100 = 36/100 = 18/50 = 9/25
A dog but not a cat: 22/100 = 11/50
Which of the following pairs of lines are perpendicular to each other?
Answer:
which lines
Step-by-step explanation:
draw a picture
Directions: Indicate product of FOIL for the problem
The product of the given binomial is x⁴ -y².
How to find product using FOIL method ?FOIL stands for Firsts , Outsides , Insides , Lasts and while determining product of binomials this sequence is followed.
The binomials given are
( x² +y ) (x² -y)
x² (x² -y) + y * x² + y* (-y)
------------ ------ --------
Firsts Outsides insides Lasts
After simplification
x⁴ - x²y + x²y -y²
x⁴ -y²
The product of the given binomial is x⁴ -y².
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In the diagram below, which two angles form a linear pair.
O 6 and 7
O 6 and 5
O 7 and 5
O 7 and 8
Answer:
6 and 5
Step-by-step explanation:
angles are a linear pair of supplementary angles, if they are directly neighboring, are created by 2 intersecting lines, and sum up to 180°.
the only 2 angles fulfilling all these criteria are 6 and 5.
Find the length of each segment in the following 45° - 45° - 90° right triangle. Geometry pls help!!
Answer:
10
Step-by-step explanation:
In a 45-45-90 right triangle, the hypotenuse is sqrt(2) times the length of the leg.
Find the principal which amounts to $918 in 1 year at a simple interest
of 2% per annum
Answer:
P = $900
Step-by-step explanation:
Simple Interest Formula: [tex]A = P(1+rt)[/tex]
Where A is the final amount,
P = Principal
r = Interest Rate in Percent or [tex]\frac{r}{100}[/tex] per annum
t = time in years
From the information given in the question,
A = $918
r = 2% per annum or [tex]\frac{2}{100}[/tex]
t = 1 year
Lets substitute these values to find P, the principal.
[tex]P(1+(\frac{2}{100} )(1))=918\\P(1+0.02)=918\\1.02P=918\\P = \frac{918}{1.02} \\=$900[/tex]
Therefore, P = $900
Stephanie is driving a new route from her house to her job, which is 12 1⁄4 miles away. On this route, she will pay a toll every 3 1⁄2 miles, and the cost of each toll is $1.35.
1. How many tolls will Stephanie pay?
2. What is the total cost of a one-way trip?
There are 3 tolls where Stephanie pays $ 4.05.
What is Distance?The distance between two points is the length of the path connecting them.
Here,
Distance covered by Stephanie = 12 1/4 miles
= 12.25 miles
Distance between two toll tax = 3 1/2 miles
= 3.5 miles
Number of Tolls = Total distance covered / Distance between two tolls
= 12.25 / 3.5
= 3.5
≈ 3 tolls.
Cost of 1 toll = $ 1.35
Total amount paid on toll = 3 X 1.35
= $ 4.05
Thus, there are 3 tolls where Stephanie pays $ 4.05.
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What’s the answer to the question
Ria surveyed 20 classmates to ask what types of pets they had at home. calculate the relative frequency of each pet type.
write your response in exact decimals.)
pet type
count
relative frequency
dog
8
cat
7
bird
3
fish
2
total
20
The relative frequencies for all pets are given-
The relative frequency for dog is 0.4.
The relative frequency for cat is 0.35.
The relative frequency for bird is 0.15.
The relative frequency for fish is 0.1
What is relative frequency?The ratio of the total number of events occurring in a scenario to the number of times an event occurs is known as relative frequency.
Relative Frequency = Subgroup frequency/ Total frequency.
Relative Frequency = f/ n.
where, f = total frequency
n = subgroup frequency
Calculation for the relative frequencies of the pet types:
(1) Relative frequency for dog:
Total frequency is 20.
The frequency for dog is 8.
Relative frequency for dog = frequency for dog/total frequency
= 8/20
= 0.4
Relative frequency for dog = 0.4.
(2) Relative frequency for cat:
Total frequency is 20.
The frequency for cat is 7.
Relative frequency for cat = frequency for cat/total frequency
= 7/20
= 0.35
Relative frequency for cat = 0.35.
(3) Relative frequency for bird:
Total frequency is 20.
The frequency for bird is 3.
Relative frequency for bird = frequency for bird/total frequency
= 3/20
Relative frequency for bird = 0.15.
(4) Relative frequency for fish:
Total frequency is 20.
The frequency for fish is 2.
Relative frequency for fish = frequency for fish/total frequency
= 2/20
Relative frequency for fish = 0.1.
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For the following exercises, find (f ∘ g)(x) and (g ∘ f)(x) for each pair of functions
34. f(x) = 4 − x, g(x) = −4x
Answer:
The value of [tex]$(f \circ g)(x)$[/tex] is [tex]$4+4 x$[/tex] and [tex]$(g \circ f)(x)$[/tex] is [tex]$4 x-16$[/tex].
Step-by-step explanation:
It is given in the question functions f(x) as 4-x and g(x)=-4x.
It is required to find [tex]$(f \circ g)(x)$[/tex] and [tex]$(g \circ f)(x)$[/tex].
To find [tex]$(f \circ g)(x)$[/tex], substitute g(x)=-4x for x in f(x) and simplify the expression.
To find [tex]$(g \circ f)(x)$[/tex], substitute f(x)=4-x for x in g(x) and simplify the expression.
Step 1 of 2
Substitute g(x)=-4x for x in f(x) and simplify the expression.
[tex]$$\begin{aligned}&(f \circ g)(x)=f(g(x)) \\&(f \circ g)(x)=4-g(x) \\&(f \circ g)(x)=4-(-4 x) \\&(f \circ g)(x)=4+4 x\end{aligned}$$[/tex]
Step 2 of 2
Substitute f(x)=4-x for x in g(x) and simplify the expression.
[tex]$$\begin{aligned}&(g \circ f)(x)=g(f(x)) \\&(g \circ f)(x)=-4 f(x) \\&(g \circ f)(x)=-4(4-x) \\&(g \circ f)(x)=4 x-16\end{aligned}$$[/tex]
Which descriptions can describe more than one triangle? Select two options.
I side lengths of 6 ft, 8 ft, and 10 ft
D
angle measurements of 35°, 35°, and 110°
EI
angle measurements of 30°, 40°, and 50°
I angle measurements of 40°, 60°, and 80°
side lengths of 4 cm, 6 cm, and 9 cm 6
Answer: (35,35,110) and (40,60,80)
Step-by-step explanation:
If given all 3 side lengths, it can only describe one triangle. Angles alone are not enough to guarantee how a triangle looks.
side lengths of 6 ft, 8 ft, and 10 ft - no because all sides are defined
angle measurements of 35°, 35°, and 110° - yes because three angles can describe more than one triangle
angle measurements of 30°, 40°, and 50° - no because the sum of the angles is 120 degrees. Triangles have a combined total of 180 degrees
angle measurements of 40°, 60°, and 80° - yes because 3 angles
side lengths of 4 cm, 6 cm, and 9 cm 6 - no because all sides are defined
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Draw triangle ABC with vertics at A(1,6), B (1,1) and C (5,1). In this triangle, AB+ BC=AC. Next use the GeoGebra tools to draw triangle DEF such that AB=DE, meausurement of angle E=90 degrees , and EF=BC. Paste a picture of your drawing in the answer box
The picture of the drawing of triangle ABC with vertices at A(1,6), B (1,1) and C (5,1) is attached below.
What is the triangle about?A triangle is known to be a kind of a polygon that is made up of three edges and also made up of three vertices.
It is regarded as a key shapes in geometry as its vertices is often denoted with A, B, and C.
The points will be taken as: A(1,6), B(1,1) and C (5,1)
=AB + BC = AC
Therefore, The picture of the drawing of triangle ABC with vertices at A(1,6), B (1,1) and C (5,1) is attached below.
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330 racers, 284 completed, 33 quit,13 were disqualified, what percentage didn't finish?
Answer:
13.94%
Step-by-step explanation:
46 out of 330 did not finish.
46/330 = .139393939...
Multiply by 100 to turn into a percent. Rounding to the hundredths place, you get1 13.94%
What is the measure of arc ef
Answer: [tex]128^{\circ}[/tex]
Step-by-step explanation:
By the inscribed angle theorem, minor arc EG measures 92 degrees.
Since the circumference of a circle measures 360 degrees, arc EF measures [tex]360-140-92=128^{\circ}[/tex]
The measure of the arc EF = 128°.
What is an Arc?Arc is that part of the circumference of the circle which is formed by two points on the circle.
The angle subtended by an arc on the center of the circle is twice that it subtends on the circumference of the circle.
So,
The measure of arc EG = 2 * 46 = 92
The measure of arc GF = 140°
The complete circle has an angle of 360° at the center
The measure of the arc EF = 360 -mEG - mGF
The measure of the arc EF = 360 - 92 -140
The measure of the arc EF = 128°.
Therefore, The measure of the arc EF = 128°.
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change the unit of capacity 12 c = qt
Answer:
Step-by-step explanation:
Comment
There are 4 cups in a quart.
There are 12 cups in x quarts.
Solution
4/12 = 1 / x Cross multiply
4x = 12*1 Combine
4x = 12 Divide both sides by 4
4x/4 = 12/4
x = 3 quarts
Answer
3 quarts.
can someone pls define closer property
The closure property is defined below.
What is Closure Property?According to Closure Property, the set of numbers on which the mathematical operation like addition, subtraction, and multiplication are performed the result will be the number of the same set.
An example of this is if addition is done on two whole numbers the output will be a whole number.
The closure Property is valid for Whole numbers, Natural Numbers, Rational Numbers, Real Numbers, and Integers
For Natural Numbers: Addition of a + b = N
(a, b and N = natural numbers)
Thus, the closure property is defined.
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A spiral staircase turns $270^\circ$ as it rises 10 feet. The radius of the staircase is 3 feet. What is the number of feet in the length of the handrail
The number of feet in the length of the handrail is 17.3 ft.
The easiest way to see this is to imagine that we can "unfold" the spiral to create a rectangle
The bottom side of the rectangle is just the arc length of a circle with a radius of 3 ft turned through 270°= (3/4) of a whole revolution
(3/4) (2pi) (3) = (9/2)pi ft = 4.5 pi ft
The side of the rectangle will be the rise of the staircase = 10ft
And the diagonal of the rectangle will be the length of the handrail
We can use the Pythagorean Theorem to solve this
Handrail length = √ [ (4.5 pi)^2 + 10^2 ] ≈ 17.3 ft
Pythagorean theorem is the well-known geometric theorem that the sum of the squares on the legs of a right triangle is equal to the square on the hypotenuse.
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Which graph represents (x,y)-pairs that make the equation y = 3x - 2 true?
Answer:
The Answer is B.
Step-by-step explanation:
If you were to look at the slope, 3x. You would look to see if the graphs have a slope of 3x. You go three up and one right.
If z - 3 is an odd number, which one of the following must be an odd number ?
A) z
B) z - 2
C) z + 3
D) z + 4
Option C) is correct z +3 is also an odd number
z- 3 is odd number,
odd number are given as 1, 3, 5, 7, 9,11,.. etc.
since z - 3 odd number
mean while
if we add 3 to z will also be the odd number cause subtracting 3 twice from z-3 returns the reverse value i.e.
so z + 3 also an odd number.
Thus, z +3 is also an odd number
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what is 9.6=p/5.4 algebra
10 points
The price of a technology stock was $9.69 yesterday. Today, the price rose to $9.80. Find the percentage increase. Round your answer to the nearest tenth of a percent.
Translate into an algebraic expression:
m decreased by 47%
(Please Help, Will Mark Brainliest for correct verified answer)
ANSWER :
= m - ( m of 47/100 )
(or)
= m of (53/100)
Mark BRAINLIEST
The algebraic expression for "m decreased by 47%" is m - 0.47m.
To translate "m decreased by 47%" into an algebraic expression, we first need to understand the meaning of the phrase. "Decreased by" indicates a subtraction operation, and "47%" represents 47 percent, which is equal to 0.47 in decimal form.
Let's break down the expression step by step:
"m" represents the original quantity we want to find.
"Decreased by" indicates subtraction.
"47%" is equivalent to multiplying the original value "m" by 0.47.
Combining all these elements, the algebraic expression for "m decreased by 47%" is:
m - 0.47m
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Please help, question is below
Answer:
(a) The number of positive zeros is either 2 or 0. The number of negative zeros is either 2 or 0.
Step-by-step explanation:
The possible numbers of real zeros can be found using Descarte's Rule of Signs.
RuleWhen signs of coefficients of terms of the polynomial are listed in order of decreasing degree, the number of sign changes can be counted. That number is the number of possible positive real zeros of the polynomial.
When the signs of odd-degree terms are changed, the number of sign changes becomes the possible number of negative real zeros.
The actual number of real zeros may be less by a multiple of 2. (The zeros may be complex, and complex zeros come in pairs.)
ApplicationThe signs of the terms in the given polynomial are ...
+ - + + + . . . . . 2 sign changes: 2 or 0 positive real zeros
When the signs of odd-degree terms are changed, they become ...
+ + + - + . . . . . 2 sign changes: 2 or 0 negative real zeros
Descarte's rule of signs lets us conclude ...
The number of positive zeros is either 2 or 0. The number of negative zeros is either 2 or 0.__
Additional comment
When we graph the function, we find there are no real zeros. All four of the zeros are complex.
Maddie mailed y letters in january. she mailed 3 times
as many letters in february. in march, she mailed 10
letters more than half of what she mailed in january and
february together. if a letter costs $0.37 to mail, which
expression represents the amount of money, in dollars,
maddie spent mailing letters in march?
The expression which shows the amount of money, in dollars Maddie spent on mailing letters in March is 3.7 +0.74 y.
Given Maddie mailed y letters in January. She mailed 3 times as many letters in February. In March she mailed 10 letters more than half of what she mailed in January and February.
Expression is combination of numbers, symbols, fraction, coefficients which are not found in equal to form.
Letters mailed in January=y
Letters mailed in February=3y
Letters mailed in March=10+(y+3y)/2
=10+2y
Amount of mailing of 1 letter=$0.37.
Amount of mailing of letters in March=0.37(10+2y)
=3.7+0.37*2y
=3.7+0.74y
Hence the expression which shows the amount of letters mailed in March is 3.7+0.74 y.
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