The degrees of freedom for the F- statistic is:
(a) the degree of freedom of the numerator= 3
(b) the degree of freedom of the denominator= 58
What is Analysis of Variance (ANOVA)?
The statistical analysis tool known as analysis of variance (ANOVA) divides the observed aggregate variability present in a data set into two categories: systematic variables and random components. The random factors have no statistical impact on the presented data set, whereas the systematic factors do.
The sum of squares "is the sum of the square of variation, where variation is defined as the spread between each individual value and the grand mean".
If we assume that we have [tex]p[/tex] groups and on each group from [tex]j=1,...,p[/tex]we have [tex]n_{j}[/tex] individuals on each group we can define the following formulas of variation.
We know, we have this property
[tex]SST=SS_{between} +SS_{within}[/tex]
The degrees for the numerator are [tex]df_{num}=k-1=4-1=3[/tex], where k represents the number of groups (k = 4)
The degrees for the denominator are [tex]df_{den} =N-K=62-4=58[/tex], where N represent the total number of people (N = 14+16+19+13=62)
And the total degrees of freedom are given by:
[tex]df_{tot} =df_{num} +df_{den} =3+58=61[/tex]
Hence, degree of freedom of the numerator is 3 and the degree of freedom of the denominator is 58.
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what is the slope of 0
If the first equation is multiplied by 3 and then the equations are added, the result is _____. 3x + y = 3 x - 3y = -2 10 x = 7 10 x = 11 8 x = 7.
Answer:
if the first equation 3x - 3y = -2 is multiplication by 3
therefore, 3x - 3y = -2
multiplied by 3
:9x - 9y = -6
then the equations are added,
9x - 9y = -2 + 10x + 710x + 118x + 7
9x + 10x + 710x + 118x + 9y + 7
947x + 9y = 7
given a circle that is divided into n identical sectors, and we have k different colors to paint it. how many ways can we paint it under the condition that no adjacent pieces have the same color?
The number of ways we can paint is g(nk)=1/n ∑d | n ϕ(d) ((k−1)^n/d +(−1)^n/d (k−1))
Given,
Whether your circle has named sectors (i.e., is fixed) or lacks labels will determine this (i.e. is free).
In the first scenario, inclusion-exclusion can be used to create sets Ai,j of colorings with adjacent sectors I and j having the same color. Next, generally
|Ai1,j1∩⋯∩Air,jr|={(k^n − r r<n) ( k r=n)
And inclusion-exclusion yields f(n, k), the number of sectors that are colored with k colors that are not related to any of Ai, j (i.e., do not have similar adjacent colors):
f(n, k) = ∑r = 0 n−1 (−1)^r (n, r) k^n - r + (−1)^n (n, n)k
And the result of adding and subtracting (1) is:
⟹f(n, k) = ∑r = 0 n−1 (−1)^r (n, r) k^n−r + (−1)^n (n, n)k = (k−1)^n + (−1)^n (k−1)
That is your response to the fixed circle.
Burnside's Lemma, which generates the cycle index of a combinatorial necklace, must be applied if you want the solution for a free circle (assuming the symmetries involved are merely rotations):
Z(Cn) = 1n∑d∣nϕ(d)an/dd
Then, n/d cycles with dN sectors in each cycle, an/dd permutations representing rotations of sectors, and (d) is the Euler Totient Function[4] are used.
Since each cycle must contain a single color from the n available options, we must swap out an/dd with f(n/d, k), resulting in a total of g(n, k) free colorings for n>1*:
g(n, k)=1/n ∑d∣n ϕ(d) ((k−1)^n/d +(−1)^n/d (k−1))
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14.95x4.1
can someone explain how to like do it like how u get the answer
consider the following page reference string: 7, 2, 3, 1, 2, 5, 3, 4, 6, 7, 7, 1, 0, 5, 4, 6, 2, 3, 0 , 1. assuming demand paging with four frames, how many page faults would occur for the following replacement algorithms?
Answer:
Step-by-step explanation:
How is a thermometer related to rectangular coordinate system
The thermometer relates with the rectangular coordinate system in the sense that both have
the y-coordinate is similar to the vertical tube of a thermometerthe x coordinate is similar to the substance or object being measuredgraduated scale for measurementWhat governs a thermometer's operation?The idea behind how a thermometer works is that solids and liquids tend to expand as a function of temperature.
Mercury starts to rise when a thermometer lamp is submerged in a particular solution or material. On a temperature scale, this increase in mercury is investigated.
The mercury in the tube is similar to the y coordinate which gives the output while the object being measured is similar to the x coordinate which is the input
The graduation in thermometers into units that rises and falls is a similar feature in the rectangular coordinate system
The functions from thermometer can be plotted on a graph in a rectangular coordinate system
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need help on 3 and 4 please!!
Answer:
Step-by-step explanation:
The stem-and-leaf display represents scores achieved on a 100-point biology exam by the
34 members of the class. Identify the mean, median and mode for the data represented.
The measures of central tendency from the given stem-and-leaf plot are given as follows:
Mean: 74.62Median: 74.5.Mode: 73.What is shown by the stem-and-leaf plot?The stem-and-leaf plot shows the measures of the data-set, in which:
The left digit is the first digit.The right digit is the second digit.For example:
4|7 = 47.
Hence all the measures of the data-set are given as follows:
47, 51, 56, 57, 62, 63, 63, 66, 66, 68, 68, 70, 71, 73, 73, 73, 73, 76, 76, 77, 77, 79, 80, 81, 82, 83, 86, 88, 88, 90, 91, 93, 93, 97.
The mean is given by the sum of all scores divided by the number of scores, hence it is given as follows:
Mean = 74.62.
The median is the middle value of the data-set. The data-set has 34 elements, which is an even cardinality, hence the median is given by the mean of the 17th and of the 18th element, as follows:
Median = (73 + 76)/2 = 74.5.
The mode is the value that appears the most times in the data-set, which is of 73, as it is the only score to appear four times in the data-set.
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(2r+4) = (r+4) solve for r
Answer:
r = 0
Step-by-step explanation:
the first thing you can do to solve this equation is to remove the parenthesis
2r + 4 = r + 4
now subtract 4 from both sides
2r = r
subtract 4 from both sides
r = 0
that is your answer
Which inequality is a true statement?
Select each correct answer.
−3<−1
−3≤−1
−3>−1
−3≥−1
−3=−1
(please answer correctly)
Answer:
−3 < −1
−3 ≤ −1
Step-by-step explanation:
Symbol explanation
< means "less than".> means "more than".≤ means "less than or equal to".≥ means "more than or equal to".= means "equal to".A negative number is any number that is less than zero.
On the number line the negative numbers are to the left of the zero.
-3 is less than -1 because -3 lies to the left of -1 on the number line.
Therefore, the only given inequalities that are true statements are:
-3 < -1 as -3 is less than -1.-3 ≤ −1 as -3 is less than or equal to -1.a national computer retailer believes that the average sales are greater for salespersons with a college degree. a random sample of 14 salespersons with a degree had an average weekly sale of $3542 last year, while 17 salespersons without a college degree averaged $3301 in weekly sales. the standard deviations were $468 and $642 respectively. is there evidence to support the retailer's belief?
There is sufficient data to back up the assertion that salespeople with college degrees generate much higher average sales than salespeople without.
Given,
This is a test of the hypothesis that the means of the two populations differ.
The assertion is that salespeople with college degrees generate much higher average sales than salespeople without.
The alternative and null hypothesis are then:
H₀ ; μ₁ - μ₂ = 0
Hₐ ; μ₁ - μ₂ > 0
The level of significance is 0.05.
The mean and standard deviation for sample 1 (college degree), with n1=14, are 3542 and 468, respectively.
The mean and standard deviation of sample 2 (non-college degree), with n2=17, are 3301 and 642, respectively.
Now,
Md = M₁ - M₂ = 3542 - 3301 = 241
Md=241 is the difference between the sample means.
The following formula is used to calculate the estimated standard error of the difference between means:
S Md = √(σ₁²/n₁ + σ₂²/n₂) = √(468²/14 + 642²/17) = √(15644.6 + 24244.94) = 199.72
Then, we can calculate the t-statistic as:
t = (Md - (μ₁ - μ₂) / S Md = 241 - 0 / 199.72 = 241/199.72 = 1.21
The degrees of freedom for this test are:
Df = n₁ + n₂ - 2 = 14 + 17 - 2 = 29
Right-tailed tests have 29 degrees of freedom and t=1.21, so the following formula is used to determine the P-value for this test:
P Value = P(t > 1.21) = 0.118025
The effect is significant since the P-value (0.118025) is less than the 0.05 standard of significance.
The null hypothesis is rejected.
Therefore,
The idea that salespeople with college degrees generate much higher average sales than those without is supported by sufficient data.
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the coefficient of determination is the proportion of variability of the dependent variable (y) accounted for or explained by the independent variable (x). true false
The Coefficient of determination is the proportion of variability of the dependent and independent variable this statement is true.
The primary result of the regression analysis is the coefficient of determination because it indicates the percentage of variations in the dependent variable that can be accounted for by the independent variable.
The effectiveness of a statistical model in forecasting a result is indicated by the coefficient of determination [tex]R^2[/tex]. The dependent variable in the model is a representation of the result. [tex]R^2[/tex] can have a minimum value of 0 and a maximum value of 1.
Researchers frequently rely on coefficient, also referred to as R-squared (or [tex]R^2[/tex]), when performing trend analysis to determine how strong the linear relationship is between two variables.
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a ladder reaches a maximum length of about 23 m. for any ladder to be safe, the angle it makes with the ground should be between 65° and 70°. one storey of a building is about 4 m. a fire breaks out on the fifth storey of a building. will the extension ladder reach the fifth storey safely?
Answer:
Given,
Let's assume the maximum safe height of wall = h
angle formed between ladder and ground = 70°
length of ladder = 16 ft
From the given data, it can be seen that ladder will form a right angle triangle structure with the wall
So,from the concept of trigonometry,
Sin70^o\ =\ \dfrac{\textrm{maximum safe height of wall}}{\textrm{length of ladder}}Sin70
o
=
length of ladder
maximum safe height of wall
= > Sin70^o\ =\ \dfrac{h}{16\ ft}=>Sin70
o
=
16 ft
h
= > \ h\ =\ 16\times Sin70^o=> h = 16×Sin70
o
=> h = 16 x 0.9396
=> h = 15.03 ft
So, the maximum safe height that can be reached by the ladder will be 15.03 ft.
Here is the Correct asnwer.
Name the property shown by each statement.
c x 1 = c
a. Commutative Property of Multiplication
b. Additive Identity
c. Multiplicative Identity
d. Associative Property of Multiplication
Answer:
c) Multiplicative Identity
Step-by-step explanation:
Given equation,
→ c × 1 = c
Then the given equation shows,
→ Multiplicative Identity
(number × 1 = number)
Hence, the option (c) is correct.
in how many ways can 66 people be seated in a row if 1) there are no restrictions on the seating arrangement?
240 people can seat in a row without restriction in an arrangement.
A permutation of a set is, loosely speaking, an arrangement of its members into a sequence or linear order, or if the set is already ordered, a rearrangement of its elements. The word "permutation" also refers to the act or process of changing the linear order of an ordered set.
Permutations differ from combinations, which are selections of some members of a set regardless of order. For example, written as tuples, there are six permutations of the set {1, 2, 3}, namely (1, 2, 3), (1, 3, 2), (2, 1, 3), (2, 3, 1), (3, 1, 2), and (3, 2, 1). These are all the possible orderings of this three-element set. Anagrams of words whose letters are different are also permutations: the letters are already ordered in the original word, and the anagram is a reordering of the letters. The study of permutations of finite sets is an important topic in the fields of combinatorics and group theory.
According to the question:
Consider A and B being the people sitting next to each other, as one entity AB or BA.
There are now 5 entities (one of two persons A and B and five of one single person) that have to be placed in a row.
With AB, there are thus 5! possibilities. With BA, there are also 6! possibilities.
Considering both, there are thus 2× 5! = 240 ways to seat 6 people in a row of six seats if two people insist on sitting next to each other.
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The mean number of years Americans work before retiring is 34. Which of the following will be a Type I error? (A) We conclude that the mean is 34 years when it really is not 34 years. (B) We conclude that the mean is 34 years when it really is 34 years. (C) We conclude that the mean is not 34 years when it really is 34 years. (D) We conclude that the mean is not 34 years when it really is not 34 years.
Type I error is We conclude that the mean is not 34 years when it really is 34 years. The correct option to this question is C.
Rejecting the null hypothesis when it is in fact true is a Type I mistake. It entails drawing conclusions about outcomes that are statistically significant when, in fact, they were just the consequence of chance or unrelated causes.
The significance level you select (alpha or ) determines the likelihood that you will make this mistake. You determined that figure at the start of your research to determine the statistical likelihood of getting your results (p-value).
The typical significance level is 0.05 or 5%. If the null hypothesis is accurate, your results only have a 5% chance or less of occurring.
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Suppose our student center published data that the average starting salary for college graduates is 59k. You randomly sampled 49 college graduates and calculated the sample average salary is 44k. What test can you use to check whether the true average is 59k?.
One sample mean t test is used to to check whether the true average is 59k.
Average:
In statistics, average means a mean value which is equal to the ratio of the sum of the number of a given set of values to the total number of values present in the set.
Given,
Here we need to find in what test can you use to check whether the true average is 59k.
While we looking into the given question we have identified the following details,
Number of students = 49
True average = 59k
Sample average = 44k
In this given situation, the perfectly suitable test is one sample t test,
Why we used this because of a statistical hypothesis test used to determine whether an unknown population mean is different from a specific value.
Suppose our student center published data that the average starting salary for college graduates is 59k. You randomly sampled 49 college graduates and calculated the sample average salary is 44k.
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Maura runs 6 miles in 75 minutes. Ava runs 5 miles in 45 minutes.
Who runs faster?
Answer:
Ava is running faster than Maura.
Step-by-step explanation:
We are finding the speed in miles/minute.
6/75=0.08miles/minute
5/45=0.(1)miles/minute
0.(1)is greater than 0/08
Ava is running faster than Maura.
Write in lope intercept form an equation of the line that pae through the given point. (5,4) & (10,8)
The equation of the line in slope intercept form is y = 4/5 x.
Define the term slope intercept form?A line's equation of the sort y = mx + b can be given in slope intercept form. The m stands for the line's slope, and the b for the y-intercept. If you need to find a point on a line or compute for y given x, you utilize the slope intercept form.For the stated question-
The given points are-
(x1, y1) = (5,4)
(x2, y2) = (10,8)
Slope m = (y2 -y1)/ (x2 - x1)
m = (8 - 4)/(10 - 5)
m = 4/5
Equation of the line;
y - y1 = m(x - x1)
y - 4 = 4/5 (x - 5)
y = 4/5 x - 4 + 4
y = 4/5 x
Thus, the equation of the line in slope intercept form is y = 4/5 x.
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A fence is to enclose a field and divide it into 3 equal areas. If there is 1600m of fencing available. Find the dimensions of the field that will allow for the maximum area. HELPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPP
The dimensions of the field that will allow for the maximum area are 200 meters by 400/3 meters
How to determine the dimensions of the field that will allow for the maximum area.From the question, we have
Fencing available, Perimeter = 1600 meters
Number of sections, n = 3
Represent the dimensions with x and y
So, we have:
Area = Number of sections* x * y = 3xy
Perimeter = (Number of sections * 2x + 2(Number of sections) * y) = 6x + 4y
Recall that
Perimeter = 1600 meters
So, we have
6x + 4y = 1600
A = 3xy
Divide 6x + 4y = 1600 by 2
3x + 2y = 800
Make y the subject
y = (800 - 3x)/2
Substitute y = (800 - 3x)/2 in A = 3xy
A = 3x(800 - 3x)/2
So, we have
A = 1200x - 4.5x²
Differentiate and set to 0
1200 - 9x = 0
So, we have
9x = 1200
Divide by 9
x = 400/3
Recall that y = (800 - 3x)/2
So, we have
y = (800 - 3 x 400/3)/2
Evaluate
y = 200
Hence, the dimensions are 200 by 400/3
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If Josh can run 1.5 miles in 12minutes, how long will it take him to run 4 miles?
Answer:
if he can run 1.5 miles in 12 min he can run 4 miles in 0.5
PLEASE HURRY! WILL GIVE AHYTHING!!
Spin a spinner with three equal sections colored red, white, and blue. What is P(yellow)?
33%
0%
100%
66%
Answer:33%
Step-by-step explanation: take 1 divided by 3 which equals 0.33 multiply that by 100 to get a percentage of 33 percent
you don't need to give me anything
Answer:
33%
Step-by-step explanation:
I want your chocolate.
What is the 62 th term of the sequence 11, 14, 17, 20...?
3x+4/2=9.5 what is x
Answer:
x = 2.5
Step-by-step explanation:
Answer:
[tex]\boxed{\boxed{\tt x=5}}[/tex]
Step-by-step explanation:
[tex]\tt \cfrac{3x+4}{2}=9.5[/tex]
Multiply both sides by 2:-
[tex]\tt \cfrac{2\left(3x+4\right)}{2}=9.5\times\:2[/tex]
[tex]\tt 3x+4=19[/tex]
Subtract 4 from both sides:-
[tex]\tt 3x=15[/tex]
Divide both sides by 3:-
[tex]\tt \cfrac{3x}{3}=\cfrac{15}{3}[/tex]
[tex]\tt x=5[/tex]
__
Hope this helps you!
Have a nice day!
Which of the following examples represents a proportional relationship?
The example that represents a proportional relationship is A. y = -x
What is a proportional relationship?Proportional relationships are relationships between two variables where their ratios are equivalent. Another way to think about them is that, in a proportional relationship, one variable is always a constant value times the other.
A relationship between two variables, x, and y, represent a proportional variation if it can be expressed in the form of y = kx.
In the proportional relationship, the constant of proportionality k is equal to the slope m and the line passes through the origin
It should be noted that y = -x is a linear equation that passes through the origin.
In conclusion, the correct option is A.
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an iphone 13 is on sale for $519.35. it is on sale for 35 off the regular price. what is the original price of the phone?
Answer:
Step-by-step explanation:
$519.35 + $35
The original price of the iPhone 13 is $554.35
an instructor flips a coin and divides her class into two groups: those who got heads and those who got tails. by doing this, the instructor has created
Dividing the class by using Coin flip , The instructor has created minimal group
Researchers employ a technique called the minimal group paradigm to instigate new social groups in the lab. The objective is to classify people into groups using minimal, meaningless, or arbitrary criteria.
A minimal group is a a group lacking interdependence, group cohesion, structure, and other characteristics typically found in social groups.
An example is a group of people disembarking from a bus.
According to the question ,
The instructor is dividing the class by means of coin
Here, the flipping of coin is an arbitrary criteria . Also , the group formed will be anonymous
Hence , the formed group will be minimal group
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Diandre completed 15 drills in 2 hours.
The rate is 15/2
What is the Unit Rate of 15/2?
If Diandre completed 15 drills in 2 hours, the unit rate will be 7.5 drills per hour.
What is the rate of change?It is defined as the change in values of a dependent variable with respect to the independent variables.
It is given that, Diandre completed 15 drills in 2 hours. The rate is 15/2
A unit rate is a cost for just one of something. This is expressed as a ratio with a denominator of 1. For instance, it is useful in large applications like finding the average speed.
Thus, if Diandre completed 15 drills in 2 hours, the unit rate will be 7.5 drills per hour.
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if a tree is 10 inches tall after 1 year and grows 40 inches every 5 years how tall would it be in 19 years
Answer:
The total length of the tree in the total of 19 years (including the first year) would be 210 inches.
Answer: 210in
Step-by-step explanation:
1 1/6 + 1/6 what it the answer to the problem i showed
Answer:
1 1/3 or 4/3
Step-by-step explanation:
1/6 + 1/6 = 2/6
simplified, it would be 1/3 then you add the one, and you get 1 1/3 or (written as a mixed number,) 4/3
Answer:
2
Step-by-step explanation:
Since the denominator is the same, we can add the numerators.
11/6 + 1/6 = 12/6
We can simplify this to 2.
So, the answer is 2.