What is meant by the phrase degrees of freedom as it pertains to the computation of the sample standard deviation?.
Answers
The phrase "Degrees of Freedom" in the computation of sample standard deviation is, n - 1.
Degrees of freedom:
Degrees of freedom refers to the maximum number of logically independent values, which are values that have the freedom to vary, in the data sample.
Degrees of freedom is calculated by subtracting one from the number of items within the data sample.
Given,
Here we need to find the meaning for the phrase degrees of freedom as it pertains to the computation of the sample standard deviation
It means, There are n-1 degrees of freedom in the computation of s because an unknown parameter is estimated by the sample mean.
For each parameter estimated, 1 degree of freedom is lost.
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Related Questions
help?????????????????????????????//
Answers
Answer: 729 cubic yards
Step-by-step explanation:
To calculate the volume of a cube,
we need to multiply its side 3 times, so
9×9×9=729.
f = 2xy3 i 4x2 y2 j c: the boundary of the "triangular" region in the first quadrant enclosed by the x-axis, the line x = 1, and the curve y = x3
Answers
The boundary of the "triangular" region in the first quadrant enclosed by the x-axis, the line x = 1, and the curve y = x^3 is given by the line segment from (0, 0) to (1, 1) and the curve y = x^3 in the interval [0, 1].
To find the boundary of the triangular region, we need to identify the points where the x-axis, the line x = 1, and the curve y = x^3 intersect in the first quadrant.
The x-axis: The x-axis is the line y = 0. Therefore, the point of intersection with the x-axis is (x, y) = (x, 0).
The line x = 1: This is a vertical line passing through x = 1. Therefore, the point of intersection with the line x = 1 is (x, y) = (1, y).
The curve y = x^3: This is a curve in the first quadrant defined by y = x^3. To find the intersection points with this curve, we equate y = x^3 and solve for x. This gives us x = y^(1/3).
Now, let's analyze the boundary of the triangular region in the first quadrant:
a) Starting point: (0, 0) - The boundary begins at the origin (0, 0).
b) Line segment: From (0, 0) to (1, 0) - This segment lies along the x-axis.
c) Curve segment: From (1, 0) to (1, 1) - This segment lies on the curve y = x^3 and corresponds to x = 1.
d) Final point: (1, 1) - The boundary ends at the point (1, 1).
In conclusion, the boundary of the "triangular" region in the first quadrant enclosed by the x-axis, the line x = 1, and the curve y = x^3 consists of the line segment from (0, 0) to (1, 0) along the x-axis, and the curve segment from (1, 0) to (1, 1) on the curve y = x^3.
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can you help solve the problem
Answers
Answer: D
Explained: you find the solutions to x and the y axis to graph
Delermine what diements are donoted by the following clectron contigurations 13) [Kr]5s
2
4d
1
5p
3
14) [X
0
]6s
2
41
14
50
6
15) [Rn]7s
2
54
14
Determine which of the following electron configurations are not valid: 16) 1s
2
2s
2
2p
1
3s
7
3p
5
4s
2
4d
10
4p
9
17) 1s
2
2s
2
2p
1
3s
3
3d
3
18) [Ra] 7s
2
5 F 19) [Kr]5 s
2
4 d
10
5p
3
20) [X
9
]
Answers
13) The electron configuration [Kr]5s²4d¹5p³ corresponds to the element iodine (I).
14) The electron configuration [Xe]6s²4f¹⁴5d¹⁰6p⁶ corresponds to the element lead (Pb).
15) The electron configuration [Rn]7s²5f¹⁴ corresponds to the element lawrencium (Lr).
16) The electron configuration 1s²2s²2p¹3s²3p⁵4s²4d¹⁰4p⁹ is valid.
17) The electron configuration 1s²2s²2p¹3s²3d³ is not valid as it violates the Aufbau principle.
18) The electron configuration [Ra]7s²5f is not valid as it is incomplete.
19) The electron configuration [Kr]5s²4d¹⁰5p³ is valid.
20) The electron configuration [X] is not a valid electron configuration as it does not specify the specific subshells and electrons present.
13) The electron configuration [Kr]5s²4d¹5p³ corresponds to iodine (I) because it has 53 electrons. The [Kr] represents the electron configuration of the noble gas krypton, and the subsequent orbitals represent the additional electrons in the iodine atom.
14) The electron configuration [Xe]6s²4f¹⁴5d¹⁰6p⁶ corresponds to lead (Pb) because it has 82 electrons. The [Xe] represents the electron configuration of the noble gas xenon, and the subsequent orbitals represent the additional electrons in the lead atom.
15) The electron configuration [Rn]7s²5f¹⁴ corresponds to lawrencium (Lr) because it has 103 electrons. The [Rn] represents the electron configuration of the noble gas radon, and the subsequent orbitals represent the additional electrons in the lawrencium atom.
16) The electron configuration 1s²2s²2p¹3s²3p⁵4s²4d¹⁰4p⁹ is a valid electron configuration because it follows the Aufbau principle, filling the orbitals in increasing order of energy.
17) The electron configuration 1s²2s²2p¹3s²3d³ is not valid because it violates the Aufbau principle. According to the Aufbau principle, electrons should fill the orbitals in increasing order of energy.
18) The electron configuration [Ra]7s²5f is not valid because it is incomplete. It should specify the specific subshells and electrons present in the atom.
19) The electron configuration [Kr]5s²4d¹⁰5p³ is a valid electron configuration for an element, following the Aufbau principle.
20) [X] is not a valid electron configuration as it does not specify the specific subshells and electrons present. It is incomplete and does not provide information about any element.
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18 and twice y is less than or equal to the sum of y and 14
Answers
Answer:
18+2y< or equal to y+14
Step-by-step explanation:
I hope this helps
Answer:
y=-4
Step-by-step explanation:
18+2y ≤ y+14
If 18+2y = y+14
Then y = -4
consider the experiment of a worker assembling a product. a. define a random variable that represents the time in minutes required to assemble the product. b. what values may the random variable assume? c. is the random variable discrete or continuous?
Answers
(a) Let "X" be the random variable that represents the time in minutes required to assemble the product.
(b) The random variable may assume the values in the interval (0, ∞).
(c) The random variable "X" is continuous in nature.
A random variable is a mathematical representation of a number or object that is affected by random occurrences. It is a mapping or function between probable outcomes in a sample space and a measured space, which is frequently real numbers.A random variable is a variable with an unknown value or a function that gives values to each of the results of an experiment. A random variable might be discrete (with fixed values) or continuous (any value in a continuous range).To learn more about variables, visit :
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Find the value of the variable(s). If your answer is not an integer, leave it in simplest radical form.
Answers
Answer:
\(x =5\sqrt 3\)
Step-by-step explanation:
Given
See attachment for triangle
Required
Find x
To do this, we make use of Pythagoras theorem
\(x^2 + 5^2 = 10^2\)
Solve the exponents
\(x^2 + 25 = 100\)
Collect like terms
\(x^2 =- 25 + 100\)
\(x^2 =75\)
Take square roots
\(x =\sqrt{75\)
Expand
\(x =\sqrt{25*3\)
Split
\(x =\sqrt{25}*\sqrt 3\)
\(x =5\sqrt 3\)
Given a group of students: G = {Allen, Brenda, Chad, Dorothy, Eric, Frances, Gale), count the number of different ways of choosing 4 people for a committee. Assume no one can hold more than one office and that each person is to hold a different position on the committee.
Answers
There are 35 unique approaches to choosing 4 individuals for a board.
Given a gathering of understudies: G = {Allen, Brenda, Chad, Dorothy, Eric, Frances, Gale}, the undertaking is to count the quantity of various approaches to picking 4 individuals for a panel with the suspicion that nobody can hold more than one office and that every individual is to stand firm on an alternate foothold on the council. There are two primary sorts of mix: With and without repetition, the case here is without repetition, as shown by the formulae "C(n, r)."
The following formula calculates the number of Probability selection options for r items from a set of n items: C(n, r) = n!/(n - r)!r!Where n is the quantity of things in the set, and r is the quantity of things to be chosen from the set. Applying the recipe to the above issue: The group consists of seven students, and we want to select four for the committee. C(7, 4) = 7!/(7 - 4)!4! = (7 × 6 × 5 × 4)/(3 × 2 × 1 × 4) = 35. Answer: 35. Subsequently, there are 35 unique approaches to choosing 4 individuals for a board.
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Heather worked on 4 command cards in 140 minutes. At the same rate, how many cards can she complete in 315 minutes?
Answers
Answer:
9 command Cards
Step-by-step explanation:
The median of the following list is 12. Find the value of x. 2x. 3x, 5x, 8x
Answers
The value of x is 4
Given that the median of the list 2x, 3x, 5x, and 8x is 12, we can arrange the list in order to find the value of x:
2x, 3x, 5x, 8x
To find the median, we need to find the middle value of the list. Since the list has an odd number of values, the median is the middle value.
2x < 3x < 5x < 8x
The median is 3x = 12, so x = 12/3 = 4
Therefore, the value of x is 4.
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wich one doesn't belong
Answers
Answer:
The answer is 3 because its a constant value and the rest are variables
(Sat prep) find the value of x, 65 degrees and 75 degrees isosceles triangle.
Answers
Answer:
x = 40°Step-by-step explanation:
The triangle is not isosceles
The angles of the triangles are:
65°, 75° and x for both of the bigger and the smaller trianglesThe interior angles of a triangle sum to 180
x = 180° - (65° + 75°)x = 180° - 140°x = 40°
Write 5+12x-2x² in the form a+b(x+c)²
Answers
PLS MY ASSIGNMENT IS LATE I NEED IT NOOOOOW!
Answers
Step-by-step explanation:
William went to the supermarket with $15.00 in his pocket.
Supermarket
Choices
Item Price ($)
Bread $1.25
Soap $2.18
Steaks $7.25
Shampoo $5.62
Cheese $4.27
Which combination of items is not possible for William to purchase with $15.00?
steaks, bread, soap
steaks, bread, soap
steaks, cheese, soap
steaks, cheese, soap
soap, cheese, shampoo
soap, cheese, shampoo
steaks, shampoo, cheese
steaks, shampoo, cheese
Answers
Answer:
Steaks shampoo cheese
Which expression is equivalent to (−7x+8x+19y)−(6y+8−20x−16y)?
−19x−3y+8
- 19 x - 3 y + 8
−19x+9y+8
- 19 x + 9 y + 8
21x+29y−8
21 x + 29 y - 8
35x+19y−8
35 x + 19 y - 8
Answers
Answer:
21x + 29y - 8
Step-by-step explanation:
(−7x+8x+19y)−(6y+8−20x−16y)
−7x+8x+19y−6y-8+20x+16y
(−7x+8x+20x)+(19y−6y+16y)-8
21x + 29y - 8
X=(5)
2((x)+y=10
2(5)+y=10
Answers
Given:-
\( \rm{x = \bold{ 5 }}\)\( \: \)
now, put the value in eqⁿ
\( \rm{2(x)+y = 10}\)\( \: \)
\( \rm{2(5)+y = 10}\)\( \: \)
\( \rm{10+y = 10}\)\( \: \)
\( \rm{y = 10-10}\)\( \: \)
\( \underline{ \boxed{ \rm \bold{ \red{y = 0}}}}\)\( \: \)
hope it helps!:)
A concession stand sells 20 drinks, of which 1 is lemonade. What is the probability that the next drink sold will be lemonade? Write your answer as a fraction, decimal, or percent.
Answers
Answer: 1/20
Step-by-step explanation:
Number of lemonades = 1
Total number of drinks = 20
Therefore, the probability that the next drink that's sold will be lemonade will be:
= Number of lemonades / Total drinks
= 1/20
Therefore, the answer is 1/20
Brandon invested $11,000 in an account paying an interest rate of 1% compounded
quarterly. Robert invested $11,000 in an account paying an interest rate of 13/%
compounded monthly. After 20 years, how much more money would Robert have in
his account than Brandon, to the nearest dollar?
Answers
Answer: $4,914
Step-by-step explanation:
To calculate the final balance in Brandon's account, we need to use the formula for compound interest: A = P(1 + r/n)^(nt)
where A is the final balance, P is the initial investment, r is the interest rate, n is the number of times the interest is compounded per year, and t is the time in years.
In this case, we have:
P = $11,000
r = 1% = 0.01
n = 4 (because the interest is compounded quarterly)
t = 20
so, A = $11,000(1 + 0.01/4)^(4*20) = $11,000(1.0025)^80 = $22,817.20
To calculate the final balance in Robert's account, we need to use the same formula, but with different values for r, n, and t.
In this case, we have:
P = $11,000
r = 13/100 = 0.13
n = 12 (because the interest is compounded monthly)
t = 20
so, A = $11,000(1 + 0.13/12)^(12*20) = $11,000(1.01083333)^240 = $27,731.34
To find the difference in the final balances, we subtract the final balance in Brandon's account from the final balance in Robert's account:
$27,731.34 - $22,817.20 = $4,914.14
To the nearest dollar, the difference is $4,914.
Answer:391
Step-by-step explanation:
Find the sum of the infinite geometric series.
2- 2/3+ 2/9 -2/27+...
Answers
Answer:
3/2
Step-by-step explanation:
\(2-\frac{2}{3} +\frac{2}{9} -\frac{2}{27} +...\\r=\frac{-\frac{2}{3} }{2} =-\frac{1}{3} ,|r|<1\\s_{\infty}=\frac{a}{1-r} \\=\frac{2}{1+\frac{1}{3} } \\=\frac{2}{\frac{4}{3} }\\ =\frac{3}{2}\)
IF x = -2, Y = 5, and Z =3, evaluate the following expression X^4 - 5 + 2(x - Z)²
Answers
IF x = -2, Y = 5, and Z =3, the evaluation of the following expression X^4 - 5 + 2(x - Z)² is 61.
How can the expression be evaluated?From the question, we were given the values of x = -2, Y = 5, and Z =3, wwhich is needd to be used in evaluation of the given expression \(X^4 - 5 + 2(x - Z)^2\). All we need to do is to substitute the values that as given in term of x,y,z so that the values can be used in the evaluation of the expression so that the actual value can be known.
\(X^4 - 5 + 2(x - Z)^2\\-2^4 - 5+2(-2-3)^2\\ \\=-2^4 - 5+2(-5)^2\)
\(= 16 - 5 + 2(25)\\=16 - 5 + 50\\=61\)
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Solve. 3,864 ÷ 322
A. 11
B. 12
C. 13
D. 14
Answers
Answer: B. 12
Step-by-step explanation:
Get a calculator, or solve using long division. Boom ez
if you have trouble with division then ask your teacher for help or search on internet
3864 / 322 = 12
what the answer pls and explain 3a−4≤5
Answers
answer: a≤ 5/3
Step-by-step explanation:
First you have to subtract 4 from both sides making: 3a≤ 9
Next you divide both sides by 3 making: a≤ 3
Solve by using a system of two equations in two variables.
Six years ago, Joe Foster was two years more than five times as old as his daughter. Six years from now, he will be 11 years more than twice as old as she will be. How old is Joe ?
Answers
Answer:
Joe is 43 years old.
Step-by-step explanation:
Let x be the age of Joe Foster at present
Let y be the age of his daughter at present
Six years ago, their ages are:
x - 6 and y - 6 respectively
Six years from now, their ages will be:
x + 6 and y + 6
Six years ago, Joe Foster was two years more than five times as old as his daughter.
(x - 6) = 5(y-6) + 2
Simplify
x - 6 = 5y - 30 + 2
x = 5y -30 + 2 + 6
x = 5y - 22 ---equation 1
Six years from now, he will be 11 years more than twice as old as she will be.
(x + 6) = 2(y+6) + 11
Simplify
x + 6 = 2y + 12 + 11
x = 2y + 12 + 11 -6
x = 2y + 17 ----equation 2
Subtract equation 2 from equation 1
x = 5y - 22
-(x = 2y + 17)
0 = 3y - 39
Transpose
3y = 39
y = 39/3
y = 13
Substitute y = 3 to equation 1 x = 5y - 22
x = 5(13) - 22
x = 65 - 22
x = 43
What is the percent of change from 92 to 108?
Round to the nearest percent.
Answers
The percentage change from 92 to 108 is 13.4% approx
What is Percentage?
A percentage is a figure or ratio that may be stated as a fraction of 100 in mathematics. If we need to compute the percentage of a number, divide it by the entire and multiply by 100. As a result, the percentage denotes a part per hundred. The term per cent refers to one hundred percent.
Solution:
Percentage = Change / Original * 100
Change = 108 - 92 = 16
Original/Initial Value = 92
Percentage Change = 16/92 * 100 = 17.39% = 17.4% (approx)
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Determine whether each of the following functions is a solution of laplace's equation uxx + uyy = 0. (select all that apply. ).
Answers
Solution of laplace´s equation uxx + uyy = 0 including these function :
u(\(x^{2} + y^{2})\) = 0uxx = uyyu(xx) = u(yy)ux(x) = uy(y)u \((x+y)^{2}\) = 0Hence, the solutions of laplace´s equation is including the following functions above.
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The meaning of 95% confidence. Which of the following best explains the meaning of 95% confidence in the interval given in the last question? Check only one. 95% of the population is in the interval. The methodology used to find this interval is correct 95% of the time. There is a 95% chance that the population mean is in the interval. 3. 3.128 Who Smokes More: Male Students or Female Students? Data 1.1 includes lots of information on a sample of 362 college students. The complete dataset is available at StudentSurvey. We see that 27 of the 193 males in the sample smoke, while 16 of the 169 females in the sample smoke. We will investigate the difference in proportions of male and female students who smoke. a. Define the parameters for this difference of proportions. b. Write the value of the sample statistic that estimates the difference of proportions, using correct notation. c. Use Statkey to find a 99% bootstrap confidence interval using percentiles. Include a screen shot showing the percentiles, and write the confidence interval here: Do not look for a data set. Remember that counts can be entered manually in Statkey. See class notes. d. Find a 95% bootstrap confidence interval using margin of error, based on the standard error estimate from your bootstrap distribution in the previous step (show calculations). e. Refer to the 99% confidence interval. Is it plausible that the proportions of all male and female students who smoke is the same? Justify your answer based on the confidence interval. f. If you answered No in the previous question, which group has a higher proportion? If you answered Yes, write N/A here. Sections 3.1-3.4 MATH 1342 Page 2 of 2
Answers
It is plausible to say that one group has a higher proportion of smokers than the other.
The meaning of 95% confidence in the given interval is that there is a 95% chance that the population mean is within the interval. This means that if we were to take repeated samples and calculate confidence intervals, 95% of those intervals would contain the true population mean.
To find the difference in proportions of male and female students who smoke, we define the parameters as the difference in proportions between the two groups.
The value of the sample statistic that estimates the difference of proportions, using correct notation, would be the difference in proportions in the sample.
To find a 99% bootstrap confidence interval using percentiles, we can use a tool like Statkey. This will give us a range of values within which we can be 99% confident that the true difference in proportions lies.
To find a 95% bootstrap confidence interval using margin of error, we can use the standard error estimate from the bootstrap distribution. This will give us a range of values within which we can be 95% confident that the true difference in proportions lies.
Based on the 99% confidence interval, it is unlikely that the proportions of all male and female students who smoke are the same. The confidence interval does not include zero, suggesting a significant difference between the two groups.
Therefore, it is plausible to say that one group has a higher proportion of smokers than the other.
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What is the quotient of 154, 504 divided by 28 ?
Answers
Answer:
5518
Step-by-step explanation:
The quotient of 154, 504 divided by 28 is 5518 after applying the arithmetic operation, the answer is 5518.
What is an arithmetic operation?It is defined as the operation in which we do the addition of numbers, subtraction, multiplication, and division. It has basic four operators that is +, -, ×, and ÷.
It is given that:
The numbers are 154,504 and 28
From the question:
= 154,504 ÷ 28
Or
= 154,504/28
After applying the arithmetic operation:
= 5518
Thus, the quotient of 154, 504 divided by 28 is 5518 after applying the arithmetic operation, the answer is 5518.
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What are 2 ways to represent 3 ÷ 8
Answers
Answer:
3 ÷ 8 and 8÷3
Step-by-step explanation:
what is the sum of 1/6 4/5 and 2/3 as a fraction
Answers
Answer:
The sum is;
Step-by-step explanation:
Solution:
