A sample size of approximately 9909 components is needed to estimate the true proportion of defective components within 2.5 percentage points with 99% confidence.
To estimate the true proportion of defective components with a desired level of confidence and precision, we can use the formula for sample size determination in a proportion estimation problem.
The formula is given by:
n = (Z² p (1-p)) / E²
Where:
- n is the required sample size,
- Z is the Z-value corresponding to the desired confidence level (in this case, 99% confidence),
- p is the estimated proportion of defective components from the initial sample (20/300 = 0.0667),
- (1-p) is the estimated proportion of non-defective components,
- E is the desired margin of error (2.5 percentage points = 0.025).
Determine the Z-value corresponding to a 99% confidence level. The Z-value can be obtained from a standard normal distribution table or using statistical software. For a 99% confidence level, the Z-value is approximately 2.576.
Substitute the values into the formula:
n = (2.576² * 0.0667 * (1-0.0667)) / (0.025²)
n = (6.641 * 0.9333) / 0.000625
n = 6.194 / 0.000625
n ≈ 9908.8
Therefore, a sample size of approximately 9909 components is needed to estimate the true proportion of defective components within 2.5 percentage points with 99% confidence.
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213=22: Z=14 Select True or False for each equation as is state
O True
O False
5x=25
I need help!!!!! It’s urgent
Answer:
do a line conforming to the table days=x sales =y
Step-by-step explanation:
What is the volume of the cone below?
O A. 5082 units 3
O B. 3388 units
O C. 924 units 3
D. 10,164units 3
Answer: 3388
Step-by-step explanation:
Blake gives plano lessons in the evenings. He earns $20 for each plano lesson and has between 0 and 6 lessons each evening. The amount he
earns in an evening depends on the number of lessons he gives. What is the range of this relation?
A. {0, 20, 40, 60, 80, 100, 120)
B.Osys 120
C. {0, 1, 2, 3, 4, 5, 6)
D. O sys 6
WILL GIVE BRAINLIEST
Answer:D
Step-by-step explanation:
Answer:
A. {0, 20, 40, 60, 80, 100, 120)
Step-by-step explanation:
:)
Stephanie earns $750 a month. she gives
30% of the money to charity. How much money
does Stephanie give charity?
Answer:
she gives 225
Step-by-step explanation:
750×30% equals to 225
Answer:
Stephanie gives $225 to charity a month
Step-by-step explanation:
$750 / 100 = 7.5
7.5 x 30 = 225
7.5 x 70 = 525
700 - 525 = 225
<4 and 45 are alternate interior
angles. Find the measure of 4
Answer:
115%
Step-by-step explanation:
5 is completely irrelevant, Vertical angles are congruent.
The ratio of boys to girls at Louisiana Middle School is 3:5. There are currently 1,600 students enrolled. How many students at Louisiana Middle School are boys?
a group of students measure the distance a toy car has traveled after different amounts of time. A table of the data is shown. The students want to perform and analysis of the date set and consider removing the outlier point. Select all of the quantities that will change if the outlier point is removed from the data set.
Data set:
Time (seconds) distance (meters)
5. 1.0
6. 1.2
7. 2.4
8. 3.3
9. 3.7
10. 11.0
11. 4.2
12. 3.7
13. 4.8
14. 4.5
15. 4.9
Answer:
In this given set of data the outliers point is the distance at 10 seconds i.e 11 meters.
If the outlier point is removed the best fit line, regression value of two variables i.e time and equation of the curve along with slope will change.
Step-by-step explanation:
In this given set of data the outliers point is the distance at 10 seconds i.e 11 meters.
If the outlier point is removed the best fit line, regression value of two variables i.e time and equation of the curve along with slope will change.
Please find the attach graph
Answer:
The mean and range of distance change
Step-by-step explanation:
The coordinates of the vertices of ABC are A(-5, 2) B(-2, 4), and C(-4, 7). What are the coordinates of the image of A after the translation (x, y) = (x+6, y-5)?
Translation will reduce x coordinate by 2: (0,4), (5,6) and (3,2)
Rotation 90 CCW will change (x,y) to (-y,x): (-4,0),(-6,5),(-2,3)
What is the distance between the points (-6, 2) and (-4, 7)? Round to the nearest tenth if necessary.
Answer: distance is 5.4
Step-by-step explanation: distance between points (X1,y1) and (x2,y2) is
√(x2-X1)² + (y2-y1)² = √[(-4-(-6))² + (7-2)²] = √(2²+ 5²) =√29
The distance between the points (-6, 2) and (-4, 7) is 5.4 units.
What is the distance formula?The distance between any two points (x₁, y₁) and (x₂, y₂) can be determined using the distance formula according to which,
Distance = √((x₂ - x₁)² + (y₂ - y₁)²).
How do we solve the given question?We are asked to find the distance between the points (-6, 2) and (-4, 7).
We will determine the distance using the distance formula, by which
Distance = √((x₂ - x₁)² + (y₂ - y₁)²)
or, Distance = √(((-4) - (-6))² + (7 - 2)²)
or, Distance = √((-4 + 6)² + (7 - 2)²) = √(2² + 5²) = √(4 + 25) = √29
∴ Distance = √29 = 5.385165 = 5.4 (rounding to the nearest tenth).
∴ The distance between the points (-6, 2) and (-4, 7) is 5.4 units.
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What number gives a result of −3 when 7 is subtracted from the quotient of the number and 5?
Answer:
The number is 20
Step-by-step explanation:
( x / 5 ) - 7 = -3
+7 +7
————————
( x / 5) = 4
*5 *5
————————
x = 20
To Check;
20 / 5 = 4
4 - 7 = -3
Hope this helps!
Factor out the greatest common factor
Answer:
7x
Step-by-step explanation:
7x(5x-7)
brainliest pls!
Answer:
7x
Step-by-step explanation:
Find the missing fraction. 1/2 + blank = 7/8
Answer:
j
Step-by-step explanation:
What does the unknown number round to when rounded to the nearest whole?
Answer:
0
Step-by-step explanation:
PLEASE HELPP !
The graph shows one of the linear equations for a system of equations. Which equation represents the second linear equation for the system of equations that has the solution which corresponds to a point at (6, -2)?
A. 1/3x + 3y = 4
B. 1/3x + 4y = -4
C. 1/3x + 2y = -2
D. 1/3x + 2y = 2
Answer:
C. 1/3x + 2y = -2
Step-by-step explanation:
Using the point slope form of an equation
y-y0 = m(x-x0)
Get the slope m
Get the x and y intercept of the equation
Using the expression 1/3x + 2y = -2
x intercept occurs at y = 0
1/3x + 0 = 2
1/3 x = 2
x = 3 * 2
x = 6
y intercept occurs at x = 0
0+ 2y = 2
2y = -2
y = -1
Hence the required equation is C. 1/3x + 2y = -2
Help please! Due today!
Answer:
D. (2x-7)
Step-by-step explanation:
Split the equation into two equations by splitting -9x. Make sure that these can be factored further.
(2x² - 2x) + (-7x+7)
2x(x-1) -7(x-1)
create factors using GCFs (2x and -7) and the common factor (x-1)
(2x-7)(x-1)
D. (2x-7)
The length of a rectangle is twice the width. The perimeter of the rectangle is 24 feet.
What is the length of the rectangle?
Let x = the width of the rectangle.
Which let statement would you use for the length?
Let the width be x cm
Length = 2x cm
Perimeter = 2 ( x + 2x) = 42
3x = 21
x = 7 cm
ANSWER Length 14cm , Width = 7cm
4)
The first play of a football game resulted in a loss of 9 yards. Which absolute value statement describes the loss of yards?
Answer:
|-9| = 9
That is the absolute value for the loss of yards
Solve the system 8y-5z=23 3y-2z=6
100 POINTS
Answer:
z = 21 ; y= 16
Step-by-step explanation:
first of all we have to isolate a variable.
In second expression we can obtain:
3y = 2z+6
y = 2/3 z + 2
now we have to substitute this value in the first equation and solve it
8(2/3z+2)-5z = 23
16/3z + 16 -5z = 23
16z +48 - 15z = 69
z = 21
now we have to substitute z in the second equation:
y = 2/3 (21) +2
y = 14+ 2 = 16
y = 16
Please help I need answer ASAP
Answer:
A. The length is 1.5 inches and the width is 1 inch.
Step-by-step explanation:
If we assume the two scale factors are related, then 1:10 is half of 1:20, so half of 3:2 is 1.5:1.
Solve 4^x=12 by taking the natural log of both sides
Answer:
3
Step-by-step explanation:
Solve for x.
3x - 4 = 2x - 10
O x = 6
OX= -6
OX= 14
O x=-14
Please help
Will give you brainly
Answer:
x = -6
Step-by-step explanation:
We have the equation 3x - 4 = 2x - 10 and are asked to find "x".
To solve , we need to get "x" alone entirely.
3x - 4 = 2x - 10
Subtract 2x from both sides :
x - 4 = -10
Add 4 to both sides to get our answer :
x = -6
Answer:
the answer is equal to-6
Is the formula V=LWH or V=BH or A=BH
PLEASE HELP!
Answer:
It's A=BH
Step-by-step explanation:
In the story the key words are there: Area, base/length, height
Answer:
It's A=BH
Step-by-step explanation:
What is the consequence of L'hopital's Rule?
Answer:
So, L'Hospital's Rule tells us that if we have an indeterminate form 0/0 or ∞/∞ all we need to do is differentiate the numerator and differentiate the denominator and then take the limit. (Brainliest? :3)
Step-by-step explanation:
The perimeter of the rectangle below is 108 units. Find the length of side VW.
Answer:
can u add a pic or any other measuremeants?
Step-by-step explanation:
Find the exact value of x p
Answer:
x = 9.6
Step-by-step explanation:
sin Q = 16/20 Q = 53.13° from the big triangle
16/20 = x/12
192 = 20x
x = 9.6
Yo can y'all help a brother out trying to pass.
First image is the answer choices for all the questions
Second Image is the questions.
Answer:
P' (-1,-4) N'(-5,0) U'(-2,1)
Step-by-step explanation:
If we used the quadratic expression below to complete a diamond, which pair of values would go on the SIDES of the diamond?
x^2 - 4x + 5
a. 5 and -1
b. -5 and 1
c. -4 and 1
d. 4 and -1
e. no solution
9514 1404 393
Answer:
e. no solution
Step-by-step explanation:
You would be looking for factors of +5 that have a sum of -4. There are none (no solution). None of the values offered in the answer choices have a product of +5.
__
The discriminant of the quadratic is (-4)² -4(1)(5) = -4, so the roots are complex.
which statement is true?
Answer:
a because i just know it
1.6 x 0.7 =
plsss help
Answer:
1.12
Step-by-step explanation:
Answer:
1.12
Step-by-step explanation:
