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Related Questions
In manufacturing processes, it is of interest to know with confidence the proportion of defective parts. Suppose that we want to be reasonably certain that less than 4% of a company's widgets are defective. To test this, we obtain a random sample of 250 widgets from a large batch. Each of the 250 widgets is tested for defects, and 6 are determined to be defective, based upon the manufacturer's standards. Using α = 0.01, is this evidence that less than 4% of the company's widgets are defective? State the hypotheses, list and check the conditions, calculate the test statistic, find the p-value, and make a conclusion in a complete sentence related to the scenario.
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Answer:
Less than 4% of a company's widgets are defective.
Step-by-step explanation:
In this case we want to be reasonably certain that less than 4% of a company's widgets are defective.
The significance level of the test is, α = 0.01.
The hypothesis can be defined as follows:
H₀: At least 4% of a company's widgets are defective, i.e. p ≥ 0.04.
Hₐ: Less than 4% of a company's widgets are defective, i.e. p < 0.04.
The information provided is:
n = 250
x = 6
The sample proportion is, [tex]\hat p=\frac{x}{n}=\frac{6}{250}=0.024[/tex]
Compute the test statistic value as follows:
[tex]z=\frac{\hat p-p}{\sqrt{\frac{p(1-p)}{n}}}\\\\=\frac{0.024-0.04}{\sqrt{\frac{0.04(1-0.04)}{250}}}\\\\=-1.29[/tex]
The test statistic value is -1.29.
The decision rule is:
The null hypothesis will be rejected if the p-value of the test is less than the significance level.
Compute the p-value as follows:
[tex]p-value=P(Z<-1.29)=0.0985[/tex]
So,
p-value = 0.0985 > α = 0.01.
The null hypothesis will not be rejected at 1% significance level.
Thus, there is not enough evidence to support the claim.
Conclusion:
Less than 4% of a company's widgets are defective.
1.34 - 1.07 mathematics
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Answer:
0.27
Step-by-step explanation:
If you subtract 1.07 from 1.34 it would equal 0.27.
Weekly salary: $650; earnings to date: $30,000.
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Answer:
Step-by-step explanation:
30000/650= 46.15 weeks to accumulate $30000
ss tax rate is 12.4%
Medicare rate is 0.09%
30,000*12.4%= $3720
30,000*9%= $270
Total is $3990
Per pay period is
650*12.4%= $80.60
650*9%=$58.50
Total is $139.10
1.2983 rounded to nearest hundredth
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Answer:
1.3000
Step-by-step explanation:
The 9 makes the 2 move to 3. Hope this helps.
Answer:
1.30
Step-by-step explanation:
its rounding to the hundredth
What is the equation of the line?
y=−1/2x+1
y=−1/2x−1
y=2x−1
y=−2x+1
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Explanation:
Y=Mx+b
M= slope B= y-Int.
Y-intercept=1
Slope= -1/2 (Down 1(-)/(right 2(+))
How do I solve this?
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In the triangle you have
(180-28x) + 48 + 16x =180
X=4
GET BRANILIEST IF YOUR RIGHT!!!
Why is 50 miles per hour a unit rate, and 150 miles per 3 hours is n
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Answer:
Step-by-step explanation:
In a unit rate, the denominator is always 1. So, to find unit rate, divide the denominator with the numerator in a way that the denominator becomes 1. For example, if 50km is covered in 5.5 hours, the unit rate will be 50km/5.5 hours = 9.09 km/hour.
Answer:
because unit rate means 1 hour not 3 hour.
what is 90,000 in standard form
Answers
Answer:
9*10^4
Step-by-step explanation:
Answer:
90,000 is written and 9x 10^4 in scientific notation
Write a real world story problem that would fit this situation
Answers
Answer:
what's the situation?????????
PLEASE HELP ASAP ILL MARK BRAINLEST
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Answer:
best way would be calendar
Step-by-step explanation:
then stop watch
heartbeat
finding height?
(im not totally sure because it depends what type of timekeeping you're talking about)
Please answer correctly !!!!!!!!!!!!!!!!! Will mark brainliest !!!!!!!!!!!!!!!!!!!
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Answer:
chemical mixture is a collection of molecules or atoms of different types. A mixture is distinguished from a pure substance, which has constant composition (is composed of a only one type of molecule or atom), and a unique set of physical properties (no matter how large or small a sample is observed).
Step-by-step explanation:
solve the triangle a=3 b=13 c=11
A,B,C?
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Answer:
uhh i dont get it
Step-by-step explanation:
Can someone help me with this?
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Answer:
8x + 5y > 400
(50, 0) for x-intercept
(0,80) for y-intercept
Step-by-step explanation:
We will let x be the # of tshirts and y be the # of hats.
The inequality is 8x + 5y > 400; the coefficient 8 comes from $8 per tshirt and 5 from $5 per hats.
For x intercept, you let y = 0;
8x + 5(0) = 400;
8x = 400; divide by 8
x = 50 or (50, 0)
For y intercept, you let x = 0;
8(0) + 5y = 400;
5y = 400; divide by 5
y = 80 or (0,80)
Eli wanted to order candy online. Company A is offering 2 1/2 pounds of chocolate for $32.00. How much is Company A charging per pound of chocolate?
A. $12.80 per pound of chocolate
B. $16.25 per pound of chocolate
C. $0.07 per pound of chocolate
D. $15.75 per pound of chocolate
Answers
Answer:
A) $12.80 per pound of chocolate
Step-by-step explanation:
As, 2 1/2 pounds = 5/2 = 2.5
So for 2.5 pounds = $32
For 1 pound = 32/2.5 = 12.80
So, = 12.80
|x+4 | =8
Dont know this
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Answer: 4+4=8
Step by step explanation:
Bryan earns 9$ for each hour of yard work how many hours in all will it take Bryan to earn 27$
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Answer:
3 hours
Step-by-step explanation:
Percy has $70 in a savings account that earns 10% interest, compounded annually. To the nearest cent, how much interest will he earn in 3 years?
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Answer:
21 because 10% of 70 is 7 so 7 x 3 is 21
Step-by-step explanation:
y=x-3 somebody?? pls help i cant solve it
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Answer:
x=3
Step-by-step explanation:
0=x-3
-x=-3
x=3
A sidewalk has an area that can be represented by the expression (8x + 24) feet. Factor the expression 8x + 24.
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Answer:
x3
Step-by-step explanation:
Please help fast. I don't know what to do
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Answer:
\frac{30}{104}
Step-by-step explanation:
9 is the number of boys who play football AND wrestle. 18 is the mumber of footballers, and 12 is the number of wrestlers.
18 + 12, or 30, is the number of boys who EITHER play football or wrestle.
The total number of boys playing sports is 104, so 30 out of 104 boys either play football or wrestle.
You can write this in fraction form as [tex]\frac{30}{104}[/tex].
Answer:
39/143 (B)
Step-by-step explanation:
All the boys who play football, wrestle, or both equals 18 + 12 + 9 = 39
All of the boys are the boys who play football, wretle, or both (39) + the number of outlier boys, (104) = 143 boys in total.
There is a probability of 39/143 that a boy will wrestle or football.
YOULL BE MADE BRAINLIEST IF YOU ANSWER CORRECTLY
Solve the proportion.
15/8=45/c
c=
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Answer:
c=24
Step-by-step explanation:
15/8=45/c
15*c=45*8
15c/15=360/15
c=24
Using the exchange rate £1 = $1.32, calculate how many £ are in $11.80. Give
your answer rounded to 2 dp.
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Answer:
£8.94
Step-by-step explanation:
Since $1 = £1.32, you can just divide $11.80 by 1.32.
11.80/1.32 = £8.939
£8.939 rounded to 2 dp = £8.94
Answer:
If you do the math 10 euros is 13.20 USD so thats to much so take 1.00 euro away so thats 11.88 USD so its around 8.50 euro for 11.80 USD
Step-by-step explanation:
please answer these:)
Answers
Answer:
Step-by-step explanation:
Not a function
In order for an equation to represent a function any single value of x must have at most one corresponding value of y which satisfies the equation.
For
x2+y2=9
(for example)
x=0
there are two values for y (namely +3 and −3) which satisfy the equation
If you plug this graph into a calculator, you will find that it is a graph of a circle.
Circles have the formula x2+y2=r2 if they are centered at the origin.
From that, we can find that the radius is 3, and it is centered at the origin.
To find the domain and range, we just find the largest and smallest x and y values.
Since the radius is 3, and the graph is centered at the origin, the largest x value is 3. Similarly, the smallest x value is -3.
The domain is −3≤x≤3
We can use the same thing for the range. The radius is 3, so the largest and smallest values of the y will be 3 and -3.
The range is -3≤y≤3
Answer:
See below
Step-by-step explanation:
6. Look at the graph of the equation x^2+y^2=8. Give its domain and range.
Both domain and range are: (- √8, √8) or (-2.828, 2.828)7. Use algebraic means to show that x^2+y^2=8 is not a function. Explain your process.
The vertical line test. If more than one point is crossed on the graph by a vertical line, then the relation is not considered to be a function.8. Is there any value(s) of the domain of x^2+y^2=8 that passes the vertical line test? If so, name the value(s) and state whether or not the existence of this value makes this relation a function. You can use Desmos to help you explore this idea, if needed.
There are two points - 2.828 and 2.828 that pass the vertical line test but all the other points don't, therefore this relation is not a functionAn inscribed angle in a circle intercepts an arc whose measure is greater than 180
The angle is..
Alway acute
Sometime acute
Never acute
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Answer:
The correct option is;
Never acute
Step-by-step explanation:
When an angle intercepts an ark, we have;
The legs of the angle meets with the endpoints of the arc
Therefore, given that the arc is greater than 180°, and that the angle of the arc is the angle defined at the center of the circle, while the angle defined by the inscribed angle is defined at the circumference of the circle
By circle theorem, the angle at the center is twice that at the circumference, whereby the angle of the arc > 180°, the angle at the subtended by the inscribed angle will > 180°/2, which is > 90° or an obtuse angle
Select the correct answer.
Solve the following inequality for x.
x - 9 ≤ 2(9 - x)
A. x ≤ 9
B. x ≥ 11
C. x < -7
D. x < 10
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Step-by-step explanation:
x-9≤2(9-x)
distribute
x-9≤18-2x
add 2x on both sides
3x-9≤18
add 9 on both sides
3x≤27
divide by 3
x≤9
Answer:
here is the answer verified by edmentum if anyone needs it
Step-by-step explanation:
Lisa bought some books. She spent a total of $45 after a discount of $6 off of her total purchase. Each book cost $3. How many books did she buy?
(a) Write an equation that could be used to answer the question above.
First, choose the appropriate form. Then, fill in the blanks with the
numbers 45, 6, and 3. Let b represent the number of books.
Х
5
?
(b) Solve the equation in part (a) to find the number of books.
b=0
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Answer:
She spent 17 books
Equation: 45+6 = 51 and 51/3 = 17 books
hey I need help please
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Answer:
1 I think
Step-by-step explanation:
Write the number in standard form. 3 × 100 + 4 × 10 + 7 × 1 + 3 × (1/10) + 9 × (1/100) + 2 × (1/1000)
Answers
Answer:
374.392
Step-by-step explanation:
3*100=300
4*10=40
7*1=7
3*(1/10)=0.3
9*(1/100)=0.09
2*(1/1000)=0.002
Put them together and you get 347.392
Solve the following pair of equations simultaneously.
See image for question
Answer question (III)
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Answer:
No solutions.
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDASEquality PropertiesAlgebra I
Solving systems of equations using substitution/eliminationSolving systems of equations by graphingExpandingFinding roots of a quadraticStandard Form: ax² + bx + c = 0Quadratic Formula: [tex]x=\frac{-b\pm\sqrt{b^2-4ac} }{2a}[/tex]Step-by-step explanation:
Step 1: Define systems
2x - y = 9
4x² + 3y² - 2x + y = 16
Step 2: Rewrite systems
2x - y = 9
Subtract 2x on both sides: -y = 9 - 2xDivide -1 on both sides: y = 2x - 9Step 3: Redefine systems
y = 2x - 9
4x² + 3y² - 2x + y = 16
Step 4: Solve for x
Substitution
Substitute in y: 4x² + 3(2x - 9)² - 2x + (2x - 9) = 16Expand: 4x² + 3(4x² - 36x + 81) - 2x + (2x - 9) = 16Distribute 3: 4x² + 12x² - 108x + 243 - 2x + 2x - 9 = 16Combine like terms: 16x² - 108x + 234 = 16Factor GCF: 2(8x² - 54x + 117) = 16Divide 2 on both sides: 8x² - 54x + 117 = 8Subtract 8 on both sides: 8x² - 54x + 109 = 0Define variables: a = 8, b = -54, c = 109Resubstitute: [tex]x=\frac{54\pm\sqrt{(-54)^2-4(8)(109)} }{2(8)}[/tex]Exponents: [tex]x=\frac{54\pm\sqrt{2916-4(8)(109)} }{2(8)}[/tex]Multiply: [tex]x=\frac{54\pm\sqrt{2916-3488} }{16}[/tex]Subtract: [tex]x=\frac{54\pm\sqrt{-572} }{16}[/tex]Here we see that we start to delve into imaginary roots. Since on a real number plane, we do not have imaginary roots, there would be no solution to the systems of equations.
Step 5: Graph systems
We can verify our results.
What is 113% of 85?
96.05
0 92.08
O 83.57
O 119.26
Plz help! 10 Points!!
Answers
Answer:
96.05
Step-by-step explanation:
Answer:
96.05
Step-by-step explanation:
85 times 113
9605
divided by 100
96.05
