The correct answer for detecting nonrandomness in errors is E. control charts. Control charts are a statistical tool used to monitor processes and detect deviations from randomness or expected behavior. They are commonly used in quality control and process improvement to identify any systematic or nonrandom patterns in the data.
Control charts help visualize data over time and compare it to predetermined control limits. If the data falls within these limits and shows a random pattern, it suggests that the process is stable and operating within acceptable limits of variation. However, if the data exhibits nonrandom patterns, such as trends, cycles, or unusual points, it indicates the presence of special causes or systematic errors in the process. By analyzing the control chart, individuals can identify the sources of nonrandomness, investigate the underlying causes, and take corrective actions to improve the process and reduce errors. Therefore, control charts provide an effective method to detect nonrandomness and ensure the quality and consistency of processes.
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28,600 at 7.9% compounded semiannually for 2 years
Answer:
You will have $33,393.66.
[tex]2\sqrt{32}[/tex]
√32 can be written as
√32 = √2×2×2×2×2√32 = 2 × 2√2√32 = 4√2Now,
= 2√32
= 2 × 4√2
= 8√2
1 3 5 6 14 -1 0 1 (iii) Determine whether the matrix A = ( using the formula (Adjoint Method). has inverse. If so, find A-1
the matrix A has an inverse, and its inverse is:
[tex]A^{-1}[/tex] = [tex]\left[\begin{array}{ccc}-1/24& 1/12 &-1/8\\1/24 &-1/24 &5/24\\ -19/24& -7/12 &11/24\end{array}\right][/tex]
Given matrix A =
[tex]\left[\begin{array}{ccc}1&3&5\\6&1&4\\-1&0&1\end{array}\right][/tex]
To find the inverse of A using the adjoint method,
compute the determinant of A:
det(A) = 1 * (11 - 40) - 3 * (61 - 4(-1)) + 5 * (60 - 1(-1))
= 1 * 1 - 3 * 10 + 5 * 1
= 1 - 30 + 5
= -24
Since the determinant of A is -24, which is non-zero, we can proceed to find the adjoint of A. The matrix A is a 3x3 matrix, so the adjoint of A will also be a 3x3 matrix.
Next, we calculate the matrix of cofactors of A:
Cofactor(A) =[tex]\left[\begin{array}{ccc}1&-1&19\\-2&1&14\\3&-5&-11\end{array}\right][/tex]
Taking the transpose of the matrix of cofactors, we obtain the adjoint of A:
adj(A) = [tex]\left[\begin{array}{ccc}1&-2&3\\-1&1&-5\\19&14&-11\end{array}\right][/tex]
Finally, we can find the inverse of A using the formula A^(-1) = (1/det(A)) * adj(A):
[tex]A^{-1}[/tex] = (1/-24) *[tex]\left[\begin{array}{ccc}1&-2&3\\-1&1&-5\\19&14&-11\end{array}\right][/tex]
[tex]A^{-1}[/tex] = [tex]\left[\begin{array}{ccc}-1/24& 1/12 &-1/8\\1/24 &-1/24 &5/24\\ -19/24& -7/12 &11/24\end{array}\right][/tex]
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i need help with this geometry
Answer: The answer to your question is B.
Explanation: Answer A equals y = 2 (positive), C equals x = -2, and D equals x = 2 (positive) so that only leaves c as the remaining answer. Hope I helped and good luck.
6x + 6 = -30
Solve for ex I NEED HELP PLEASEE :(
Answer:
x = -6
Step-by-step explanation:
6x + 6 = -30
Subtract 6 from each side
6x + 6-6 = -30-6
6x = -36
Divide each side by 6
6x/6 = -36/6
x = -6
Table 13.1 gives some details about the area, density and population of a certain country. density area whole country 15 040/m² 1504 000 Capital rest of the territory country 1500/km² 96/km2 population 150400 60 000 Table 13.1 Use the table to find a the area of the Capital territory, b the population density of the whole country. [WAEC)
a) The area of the capital territory is 1,500,000,000 m².
b) The population density of the whole country is approximately 0.09989 people per square meter.
a) To find the area of the capital territory, we look at the given information in Table 13.1. It states that the population density of the capital territory is 1500/km². However, we need the area in order to calculate the population density of the whole country, which is given in m².
To convert the population density to m², we need to convert the units from km² to m². Since 1 km² is equal to 1,000,000 m², we can multiply the given population density of the capital territory by 1,000,000 to convert it to m²:
Area of Capital Territory = 1500/km² * 1,000,000 m²/km² = 1,500,000,000 m²
b) To find the population density of the whole country, we can use the given information from Table 13.1. It states that the population of the whole country is 150,400, and the area of the whole country is 1,504,000 m².
Population Density of Whole Country = Population / Area
Population Density of Whole Country = 150,400 / 1,504,000 m²
To calculate this, we divide the population by the area:
Population Density of Whole Country ≈ 0.09989 people/m²
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Show steps pleaseeee evaluate each fraction
Answer:
Look at attached file for work
Step-by-step explanation:
When it says Find x when k is -2 all you have to do is plug -2 into all the places where x is.
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a 6 sided die is rolled 6 times. what is the probability that the die will show an even number exactly 2 times.
Answer: 15/64 = 23.43%
Step-by-step explanation:
During each roll, there could be 2 possible outcomes either odd or even which gives us a probability of 50%-50%.
Since the die is rolled 6 times and the possible outcome for each roll is 2
so total possible outcomes are equal to 2x2x2x2x2x2=64 outcomes.
Since we want exactly 2 even outcomes out of 64,
so if assume E= Even & O=Odd.
The possible outcomes for which we get exact to even outcomes are:
1)EEOOOO
2)EOEOOO
3)EOOEOO
4)EOOOEO
5)EOOOOE
6)OEEOOO
7)OEOEOO
8)OEOOEO
9)OEOOOE
10)OOEEOO
11)OOEOEO
12)OOEOOE
13)OOOEEO
14)OOOEOE
15)OOOOEE
Hence total possible outcomes are 15/64
=23.4375%
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Estimate the square root of + 29 square root
Answer:
Step-by-step explanation:
Which of the following best shows the distributive property?
C 2+ 3 = 3+2
2 + (2 + 3) = (2 + 2) + 3
202 + 3) = 2(2) + 2(3)
2(2 + 3) = 2(5)
Answer:
2(2+3)=2(2)+2(3)
Step-by-step explanation:
we can use the distributive property which is:
[tex]a*(b+c)=a*b+a*c[/tex]
Answer:
2(2+3)=2(2)+2(3)
Step-by-step explanation:
Two runners start the race at the same time. the first runner's speed is 4/5 of the speed of the second runner. after 30 minutes the runners are 2 miles apart whats the speed of each runner
Answer: 3.33 miles per hour.
Step-by-step explanation: To find the speed of the second runner, we can assume their speed is x miles per hour. Using the fact that the first runner's speed is 4/5 of the second runner's speed, we can set up the equation x - 0.4x = 2 to solve for x.
Solving for x, we get x = 3.33 miles per hour.
the difference of five times a number and six is fourteen. Find the number
I can't figure it out..
Answer:
x=4
Step-by-step explanation:
Problem set up is: 5x-6=14
5x=20
x=4
Answer:
1.6
Step-by-step explanation:
1.6*5=8
8+6=14
Solve and find the value of X : 0.929=(1−x)∧(−8) [enter your answer with 3 decimals]
The value of x is approximately 0.071.
To solve the equation [tex]0.929 = (1 - x)^{-8}[/tex] for x, we can follow the steps below:
Take the reciprocal of both sides of the equation to get [tex](1 - x)^8 = 1/0.929.[/tex]
Raise both sides of the equation to the power of 1/8 to eliminate the exponent on the left side, resulting in [tex](1 - x) = (1/0.929)^{1/8}[/tex]
Subtract 1 from both sides of the equation to isolate x, yielding
[tex]-x = (1/0.929)^{1/8} - 1.[/tex]
Multiply both sides of the equation by -1 to get[tex]x = 1 - (1/0.929)^{1/8}[/tex].
By plugging in the value of 0.929 into the equation, we can calculate the value of x.
Evaluating the expression yields x ≈ 0.071 (rounded to three decimal places).
Therefore, the value of x is approximately 0.071.
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Write 17/24 in lowest terms
Answer:
17/24
Step-by-step explanation:
Since the numerator, 17 is a prime number, means 17/24 is the lowest term.
what’s the answer
a)y=3x+6
b)y=-x+3
c)y=6x+3
d)y=1/2x+3
Answer:
The answer is D.) Y=1/2x+3
Step-by-step explanation:
The shelter charges an adoption fee of $100 for dogs and $45 for cats. If 28 pets were sold for a total of $1975, how many cats were sold?
Answer:
13 dogs and 15 cats
Step-by-step explanation:
d= number of dogs, c= number of cats
First make you linear system of two equations like so:
100d+45c=1975 (100 dollars times an unknown amount of dogs plus 45 times an unknown amount of cats equals $1975)
d+c=28 (A certain amount of cats plus a certain amount of dogs has a total of 28 pets)
100d+45c=1975
d+c=28
We are going to solve using elimination
100d+45c=1975
-100(d+c=28)
100d+45c=1975
-100d-100c=-2800
+______________
-55c=-825
55c=825
c=15
There were 15 cats sold
Now you will plug it in to an original equation to solve for the amount of dogs
d+c=28
d+15=28
d=13
There were 13 dogs
You are going to use an incline plane to lift a heavy object to the top of a shelving unit with a height of 6 ft. The base of the incline plane is 9 ft from the shelving unit. What is the length of the incline plane?
The length of the incline plane is equal to 10.8 ft.
What is the Pythagoras Theorem?Pythagoras Theorem (also called Pythagoras Theorem) is an important topic in Mathematics, which explains the relation between the sides of a right-angled triangle. The sides of the right triangle are also called Pythagorean triples.
Application of Pythagoras theoremAccording to the theorem, the square of the hypotenuse is equal to the sum of the square of the adjacent and opposite.
[tex]\boxed{\text{c}^2 = \text{a}^2 + \text{b}^2}[/tex]
From the given question, the length of the incline is the hypotenuse 'c' where:
a = 6 ftb = 9 ftSubstitute
[tex]\text{c}^2 = \sf 6^2 + 9^2[/tex]
[tex]\text{c}^2 = \sf 36 + 81[/tex]
[tex]\text{c}^2 = \sf 117[/tex]
[tex]\text{c}^2 = \sf \sqrt{117}[/tex]
[tex]\bold{x \thickapprox 10.8 \ ft}[/tex]
Therefore the length of the inclined plane is 10.8 ft.
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.What is the value of the expression below when x=9? Enter the answer as NUMBER only?
1/3 x^2+4
Step-by-step explanation:
1 *9^2 + 4
3
1 * 81 + 4
3
1 * 85
3
85
3
=28
Solve and find the value of X : a=7,b=6,c=8,d=9x=(1−bc−b)(da)−1 [enter your answer with 3 decimals]
The Value of x is approximately -1.841 (rounded to 3 decimal places).
To solve for x in the equation x = (1 - bc - b)/(da) - 1, we substitute the given values for a, b, c, and d.
Given: a = 7, b = 6, c = 8, d = 9
Substituting these values into the equation, we have:
x = (1 - 6*8 - 6)/(7*9) - 1
Simplifying further, we have:
x = (1 - 48 - 6)/(63) - 1
x = (-53)/63 - 1
To find the value of x, we perform the division and subtraction:
x = -0.841 - 1
x = -1.841
Therefore, the value of x is approximately -1.841 (rounded to 3 decimal places).
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Emily is 62 years old. Colin is 3 years older than Emily. Dan is 8 years younger than Emily. What is the total of their combined ages?
ASAP
thanks
example?
Answer:
181
Step-by-step explanation:
Emily = 62
Collin = 3 years + Emily = 3 + 62 = 65
Dan = Emily - 8 years = 62 - 8 = 54
So, for finding the combined age,
=> 62 + 65 + 54
=> 181
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10
For the ellipse shown above, what is the order of symmetry?
What is the angle of rational symmetry?
Help!!
Answer:
You need to attach a picture of your problem.
Answer:
1a)For the ellipse shown above, what is the order of symmetry?
1b)What is the angle of rotational symmetry?
Step-by-step explanation:
1a) 2
1b) 180
What is your insta because we are taking the same class? lol
Which function can be used to determine the nth term of the sequence?
Answer:
Option (C)
Step-by-step explanation:
Recursive formula of sequence is,
[tex]a_1=-7[/tex]
[tex]a_n=a_{n-1}-5[/tex]
Therefore, sequence will be in the form of,
-7, -12, -17,......
Therefore, common difference of the given arithmetic sequence,
d = [tex]a_n-a_{n-1}[/tex]
= -5
Explicit formula for an arithmetic sequence is,
f(n) = a + (n - 1)d
where a = first term of the sequence
n = nth term
d = common difference in each successive term
By substituting the values from the sequence,
f(n) = -7 + (n - 1)(-5)
= - 7 - 5(n - 1)
= -7 - 5n + 5
f(n) = -5n - 2
Option (C) will be the correct option.
Does anybody know the answer to this, i need help.
Answer:
0.4
40%
Step-by-step explanation:
is cube of any positive number is always positive
The A private plane and a jetliner both fly over a park that is at (-2, 2) on a map. The path of the jetliner follows the line y = 1/2x+3 private plane flies perpendicular to the jetliner. What is the equation in slope-intercept form of the line that represents the private plane's flight path? A y = -2x + 2
b. y = -2x - 2
с. y = 1/2x-2
D. y = 1 /2 x + 2
Answer:
B. y= -2x-2
Step-by-step explanation:
• Locate and plot the point (-2,2) on a graph.
• Plot the line y= 1/2x+3 on the graph.
• Once you have your line and Point graphed, Graph the answer choices.
• Your answer will be the line that goes through the point (-2,2).
• To check your answer, Make sure that the line is also perpendicular, or has a 90-degree angle to the original line.
• Thus, your answer is B.
The equation of path of a private plane in slope intercept form is y = - 2x - 2.
What is the slope intercept form of a line?
The slope intercept form of a line is given by -
y = mx + c
where -
m is the slope of line
c is the y - intercept
Equation of path of the jetliner → y = 1/2x + 3
Common point to the path of both private plane and a jetliner → (- 2, 2)
Assume that the equation of path of a private plane in slope intercept form is -
y = m[p]x + c ... [1]
The slope of the path of jetliner = m[j] = 1/2
Since, both paths are perpendicular, we can write -
m[p] x m[j] = -1
m[p] = -1/m[j]
m[p] = - 2
Substituting point P(-2, 2) in equation [1] with m[p] = - 2, we get -
2 = -2 x - 2 + c
2 = 4 + c
c = 2 - 4
c = -2
The final equation will become -
y = -2x - 2
Therefore, the equation of path of a private plane in slope intercept form is y = - 2x - 2.
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what is (6 x 3) + (12 x 4)
Answer:
66
Step-by-step explanation:
The value of 26 - 16 ÷ 2 + 3 x 4 is _____. 30 32 6 22
Answer:
I think the answer is 30
WILL MARK BRAINILIST AND 20 POINTS!! Triangle PQR is transformed to triangle P'Q'R. Triangle PQR has vertices P (3, -6), Q (0, -9), and R (-3, 0). Triangle P'Q'R has vertices P'(1,-2), Q' (0, 3), and R' (-1, 0).
Write the coordinates of triangle P’’Q”R” obtained after P’Q’R’ is reflected about the y-axis.
Answer:
(3/5+7i)+(0.3-7.002i)
(5+77i)-(19/4-8i)
(240-22i)*(247/7+2.222i)
(33/5+99i)/(33/5-88i)
Step-by-step explanation:
Identify which equations have one solution, infinitely many solutions, or no solution.
Having one solution, infinitely many solutions or no solution. These are called "Simultaneous Equations" or "Systems of Equation". They are for if you want to find the intercepts of both graphs.
Having only one solution, meaning that both graphs intercept each others at only one single ordered pair or only a single (x,y).
Having infinite many solutions, meaning that both graphs are same and intercept infinitely (For example if you have to solve 2 quadratic equations and find the intercepts. Given that both quadratic equations are the same equations. For example, x^2 = x^2 as you'll get x^2-x^2 = 0, 0=0. Notice that when it's 0=0. That means the equation is true for all real numbers (Because x^2 = x^2 which is always true.)
Having no solution, meaning that the graph doesn't intersect another graph. When you do the equations, you might expect something like 2 = 0. For example,
[tex]x+1=x+6\\x+1-x-6=0\\0-5=0\\0=5[/tex]
Notice how 0 = 5 is false. If the equation is false, that means the equation is not true for all real numbers. So no matter what x values you are going to substitute in, it won't be true (considering both graphs don't intercept each others.)
Question 2: Class Performance [15 marks] The final scores in a statistics class are historically found to be normally distributed with a mean of 65% and a standard deviation of 8%,N(65,8)
a. What is the probability that a student in this class passes the course (assume a passing grade is 50% )? Use Table A at the end of the textbook to answer this question. [4 marks]
b. Under the Queen's University GPA Scale, what is the probability that a student in this class receives exactly 3.3 Grade Points? Use Table A to answer this question. [4 marks]
c. Find the percentage score required to be in the top 10% of students. Use Table A to answer this question. [4 marks]
d. Suppose the distribution of final scores in a microeconomics class are historically found to have the distribution N(60,11). Also suppose a student has received 80% in both the statistics and microeconomics classes. How can you compare their performance in the two courses? Determine which course the student has performed better in relative to their peers. [3 marks]
a. the probability that a student in this class passes the course is approximately 1 - 0.0301 = 0.9699 (or 96.99%). b. the probability that a student in this class receives exactly 3.3 Grade Points on the Queen's University GPA Scale is approximately 0.9992 (or 99.92%). c. the percentage score required to be in the top 10% of students is approximately 75.24%. d. the student's z-score in statistics (1.875) is higher than their z-score in microeconomics (1.818).
a. To find the probability that a student in the class passes the course (assuming a passing grade is 50%), we need to calculate the area under the normal distribution curve for scores greater than or equal to 50%.
Using Table A or a standard normal distribution calculator, we can find the z-score corresponding to a score of 50% in a normal distribution with a mean of 65% and a standard deviation of 8%.
The z-score can be calculated as:
z = (x - mean) / standard deviation
z = (50 - 65) / 8
z = -1.875
From Table A, the corresponding area (probability) for a z-score of -1.875 is approximately 0.0301.
Therefore, the probability that a student in this class passes the course is approximately 1 - 0.0301 = 0.9699 (or 96.99%).
b. To find the probability that a student in this class receives exactly 3.3 Grade Points on the Queen's University GPA Scale, we need to find the corresponding z-score for 3.3.
Since the Queen's University GPA Scale is not explicitly mentioned in the question, we will assume a standard normal distribution with a mean of 0 and a standard deviation of 1.
Using Table A, the area (probability) for a z-score of 3.3 is approximately 0.9992.
Therefore, the probability that a student in this class receives exactly 3.3 Grade Points on the Queen's University GPA Scale is approximately 0.9992 (or 99.92%).
c. To find the percentage score required to be in the top 10% of students, we need to find the z-score corresponding to the area under the normal distribution curve that leaves a probability of 10% in the upper tail.
Using Table A, the z-score corresponding to the top 10% (or 90th percentile) is approximately 1.28.
Now, we can calculate the percentage score using the z-score:
z = (x - mean) / standard deviation
1.28 = (x - 65) / 8
Solving for x, we get:
x - 65 = 1.28 * 8
x - 65 = 10.24
x = 75.24
Therefore, the percentage score required to be in the top 10% of students is approximately 75.24%.
d. To compare the student's performance in the statistics and microeconomics classes, we can use z-scores to standardize the scores relative to their respective class distributions.
For statistics:
z_stats = (x_stats - mean_stats) / standard_deviation_stats
z_stats = (80 - 65) / 8
z_stats = 1.875
For microeconomics:
z_micro = (x_micro - mean_micro) / standard_deviation_micro
z_micro = (80 - 60) / 11
z_micro = 1.818
Comparing the z-scores, we see that the student's z-score in statistics (1.875) is higher than their z-score in microeconomics (1.818).
Since z-scores represent the number of standard deviations above or below the mean, a higher z-score indicates better performance relative to the class. Therefore, the student has performed better in statistics relative to their peers compared to their performance in microeconomics.
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