False, the linearity assumption in ANOVA is not assessed using a QQ-plot of the residuals.
The linearity assumption in ANOVA refers to the assumption that the relationship between the independent variable(s) and the dependent variable is linear. This assumption is typically assessed by examining the residuals (the differences between the observed values and the predicted values) of the model. However, a QQ-plot is not specifically used to assess linearity.
A QQ-plot is commonly used to assess the assumption of normality in the residuals, which is another important assumption in ANOVA. It helps to visually compare the distribution of the residuals against a theoretical normal distribution. The linearity assumption is typically evaluated through other diagnostic plots, such as scatterplots of the residuals against the predicted values or the independent variable(s).
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C⊃D
~(A∨B)∨C
~B∨D
Show that each of the following arguments is valid by
constructing a proof
The given arguments are proved using logical inference rules.
To show that each of the following arguments is valid, we need to construct a proof using logical inference rules. Here is a proof for the given arguments:
Argument 1:
1. C ⊃ D (Premise)
2. ~(A ∨ B) ∨ C (Premise)
3. ~B ∨ D (Premise)
4. ~(A ∨ B) (Assumption)
5. ~A ∧ ~B (De Morgan's Law, 4)
6. ~B (Simplification, 5)
7. D (Disjunctive Syllogism, 3, 6)
8. ~(A ∨ B) ∨ D (Disjunction Introduction, 7)
9. C (Disjunction Elimination, 2, 8)
10. ~(A ∨ B) ∨ C (Disjunction Introduction, 9)
Therefore, the argument is valid.
Argument 2:
1. C ⊃ D (Premise)
2. ~(A ∨ B) ∨ C (Premise)
3. ~B ∨ D (Premise)
4. ~A ∨ ~B (Assumption)
5. ~(A ∨ B) (De Morgan's Law, 4)
6. C (Disjunction Elimination, 2, 5)
7. C ⊃ D (Premise)
8. D (Modus Ponens, 6, 7)
9. ~B ∨ D (Disjunction Introduction, 8)
10. ~(A ∨ B) ∨ D (Disjunction Introduction, 9)
Therefore, the argument is valid.
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Please help!!! I’ll mark you as brainliest!!!!!!
0.138613961 as a percent rounded to the nearest tenth
Answer:
13.9%
Step-by-step explanation :
Converting from a decimal to a percentage is done by multiplying the decimal value by 100 and adding %.
0.138613961 ------ when multiplying by 100 you move two spots the decimal point: 13.8613961 %
The tenth digit is 8 the number after that is 6
If the digit after tenth is greater than or equal to 5, add 1 to tenth. Else remove the digit.
6 is greater than 5 so we add 1 to 8 and becomes 9
If the digit after the tenth was 4 instead 6, for example,then it would be 13.8%
After six rolls of a standard die, the experimental probability of rolling a 3 is 26. What do you expect will happen to the experimental probability if the die is rolled 90 more times? Explain.
Answer:
The experimental probability should get closer to the theoretical probability of 1/6 with more trials.
Step-by-step explanation:
A probability is the number of desired outcomes divided by the number of total outcomes.
Experimental probability:
The number of desired outcomes is taken from the results of an experiment.
Theoretical probability:
Found before the experiment happens.
For a large number of trials, the experimental probability will be closer to the theoretical probability.
In this question:
A standard die has 6 sides, one which is 3. So the theoretical probability of rolling a 3 is 1/6.
After six rolls of a standard die, the experimental probability of rolling a 3 is 2/6.
The experimental probability, after six rolls, is 2/6 = 1/3.
What do you expect will happen to the experimental probability if the die is rolled 90 more times?
As the number of trials increase, the experimental probability is expected to get closer to the theoretical probability, which in this case is 1/6.
What is the area of a circle with a radius of 20 inches?
Group of answer choices
1256 square inches
314 square inches
31.4 square inches
125.6 square inches
Answer:
1256 square inches
Step-by-step explanation:
Area of a circle:
A = πr²
Given:
r = 20
Work:
A = πr²
A=(3.14)20²
A = 3.14(400)
A = 1256
Answer:
1256 square inches.
Step-by-step explanation:
20 squared * π = 1256 square inches
In the figure below, m<3 = 136. Find m <1, m<2, and m<4 please explain
Answer:
angle 3=angle (vertical opposite angle)
angle 3 +angle 2=180°(by linear pair)
136°+angle 2=180°
angle 2=180°-136°
angle 2=44°
angle 2=angle 4(by vertical opposite angle)
Suppose that a random variable X satisfies E[X] = 0, E[X2] = 1, E[X3] = 0, E[X4] = 3 and let Y = a + bx+cX? Find the correlation coefficient p(X,Y).
Given the random variable X with specific expected values and the equation Y = a + bx + cX, we are asked to find the correlation coefficient p(X,Y).
The correlation coefficient between two random variables X and Y is given by the formula:
p(X,Y) = Cov(X,Y) / sqrt(Var(X) * Var(Y))
To calculate the correlation coefficient, we need to find the covariance (Cov(X,Y)) and the variances (Var(X) and Var(Y)).
Given the expected values, we can calculate the required values as follows:
Cov(X,Y) = E[XY] - E[X]E[Y]
Var(X) = E[[tex]X^2[/tex]] - [tex](E[X])^2[/tex]
Var(Y) = E[tex][(Y - E[Y])^2][/tex]
Using the provided expected values, we can substitute them into the formulas:
Cov(X,Y) = E[XY] - E[X]E[Y] = E[(a + bx + cX)X] - (0)(E[a + bx + cX]) = E[aX + b[tex]X^2[/tex] + c[tex]X^2[/tex]] = a(E[X]) + b(E[[tex]X^2[/tex]]) + c(E[[tex]X^3[/tex]])
Var(X) = E[[tex]X^2[/tex]] - [tex](E[X])^2[/tex] = 1 - [tex](0)^2[/tex] = 1
Var(Y) = E[(Y - [tex]E[Y])^2[/tex]] = E[(a + bx + cX - [tex](E[a + bx + cX]))^2[/tex]] = E[[tex](a + bx + cX)^2[/tex]]
Using the provided values for E[[tex]X^3[/tex]] and E[[tex]X^4[/tex]], we can simplify the expressions further and calculate the values.
Once we have the values of Cov(X,Y), Var(X), and Var(Y), we can substitute them into the correlation coefficient formula to find p(X,Y).
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Sophia went to see a play at the theater downtown. 8:30 PM. The first act was 55 minutes long. Intermission lasted for 20 minutes, and the second act was an hour long. What time was it when the play finished?
Find a sufficient statistics for 8. Problem 7 Let X₁.... X be iid according to a uniform continuous distribution over the open interval (0,0+1), for 0> 0. Find a minimally sufficient statistics for 0.
Given that X₁, X₂, ..., Xₙ are iid according to a uniform continuous distribution over the open interval (0,0+1).
Now, we have to find a sufficient statistics for 8.Let T = ∑Xᵢ, then T ~ U(n*0,n).Thus, T is a sufficient statistic for θ.Hence, T is a sufficient statistics for 8.
Given that X₁, X₂, ..., Xₙ are iid according to a uniform continuous distribution over the open interval (0,0+1).
We have to find a minimally sufficient statistics for
Let T = (X(n), X(1)), where X(n) = max{X₁,X₂, .... Xₙ} and X(1) = min{X₁,X₂, .... Xₙ}.As Xᵢ follows uniform distribution, so T can take any value in [0, 1].
Let Y = nX(n)/(1-X(n)), thenY = (nX(n))/(1-X(n)) = (nX(n))/(X(n)-X(1)) = 1/[(X(n)-X(1))/n].Now, 0 < X(1) ≤ X(n) < 1. Therefore, 0 < (X(n)-X(1))/n ≤ 1/n. Then, Y takes values in [0,∞).Thus, Y is a one-to-one function of T.
Hence, T is a minimally sufficient statistics for 8.
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solve using quadratic formula q^2-2q-1=0
Answer:
1±√2=q
or
q=2.41, -0.41
Step-by-step explanation:
we are given the equation q²-2q-1=0, and we want to use the quadratic equation, which is (-b±√(b²-4ac))/2a
a is 1 (there is a 1 in front of q²)
b is -2
c is -1
substitute into the equation:
q=(2±√(4-4*1*-1))/2
solve for the discriminant:
√(4-4(1*-1))
√8
now the equation:
(2±√8)/2=q
simplify:
1±√2=q
or if your application asks for a decimal:
√2≈1.41
so:
1+1.41=2.41=q
or
1-1.41=-0.41=q
Hope this helps!
write an equation that states (x,y) is the same distance from (4,1) as it is from the x-axis.
The equation that states (x, y) is equidistant from (4, 1) and the x-axis is -8x - 2y + 17 = 0.
To express that the point (x, y) is equidistant from both the point (4, 1) and the x-axis, we can set up an equation using the distance formula.
The distance formula states that the distance between two points (x₁, y₁) and (x₂, y₂) is given by:
d = √((x₂ - x₁)² + (y₂ - y₁)²)
In this case, we want the distance from (x, y) to (4, 1) to be equal to the distance from (x, y) to the x-axis. The x-axis can be represented by the equation y = 0.
Let's set up the equation:
√((x - 4)² + (y - 1)²) = √((x - x)² + (y - 0)²)
Simplifying, we get:
√((x - 4)² + (y - 1)²) = √(x² + y²)
To remove the square roots, we can square both sides of the equation:
((x - 4)² + (y - 1)²) = (x² + y²)
Expanding and simplifying further, we have:
x² - 8x + 16 + y² - 2y + 1 = x² + y²
Combining like terms, we obtain:
-8x - 2y + 17 = 0
Therefore, the equation that states (x, y) is equidistant from (4, 1) and the x-axis is -8x - 2y + 17 = 0.
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The graph of the function is shown below
Which of the following functions best represents the graph ?
A) y= 0.5(2.5)^x
B) y= 3.5x^2 + 0.5
C) y= 0.5(6)^x
D) y= 0.5x+2.5
Answer:
B) y=3.5x^2 +0.5
Step-by-step explanation:
the (0,0.5) tells you what the y-intercept is :)
hope this helps :)
What is the best approximation for √29? 5 5.2 5.9 6
Answer:
Hello, Brainly users, hi hows your day going. Great. Yeah thanks for asking. Anyway, the answer is 5.2.
Step-by-step explanation:
Will provide step-by-step explanation as to how I figured it out if I can get brainliest *HINT HINT*. Have a good day. And keep good vibes amid the pandemic
:D
Answer:
5.2
Plz mark me as brainliest.
choose the correct simplification of (4x3 − 3x − 7) (3x3 5x 3).
a. 7x3 − 2x − 4
b. x3 − 8x − 10
c. 7x3 2x − 4
d. x3 8x 10
The answer is not provided in the given options.
To simplify the expression (4x^3 - 3x - 7)(3x^3 + 5x + 3), we can use the distributive property of multiplication.
Multiplying each term in the first expression by each term in the second expression, we get:
(4x^3)(3x^3) + (4x^3)(5x) + (4x^3)(3) + (-3x)(3x^3) + (-3x)(5x) + (-3x)(3) + (-7)(3x^3) + (-7)(5x) + (-7)(3)
Simplifying each term, we have:
12x^6 + 20x^4 + 12x^3 - 9x^4 - 15x^2 - 9x - 21x^3 - 35x - 21
Combining like terms, we get:
12x^6 + (20x^4 - 9x^4) + (12x^3 - 21x^3) + (-15x^2) + (-9x - 35x) + (-21)
Simplifying further, we have:
12x^6 + 11x^4 - 9x^3 - 15x^2 - 44x - 21
Therefore, the correct simplification of (4x^3 - 3x - 7)(3x^3 + 5x + 3) is:
12x^6 + 11x^4 - 9x^3 - 15x^2 - 44x - 21.
Therefore, the answer is not provided in the given options.
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PLEASE PLEASE PLEASE PLEASE PLEASE PLEASE PLEASE HELPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPP
The value of ∠FGJ = x⁰ is 45⁰.
What is Linear pair angle?Linear pair of angles are formed when two lines intersect each other at a single point. The angles are said to be linear if they are adjacent to each other after the intersection of the two lines. The sum of angles of a linear pair is always equal to 180°.
Here, we know that sum of angles on linear pair is 180⁰.
∠FGJ = x⁰ and ∠JGH = 135⁰
∠FGJ + ∠JGH = 180⁰
x⁰ + 135⁰ = 180⁰
x⁰ = 180⁰ - 135⁰
x⁰ = 45⁰
Thus, the value of ∠FGJ = x⁰ is 45⁰.
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simplify this (√7+√3)²
GIVING BRAINLIEST PLEASE DUE TODAY
A. For babysitting, Nicole charges a flat fee of $3, plus $5 per hour.
Write an equation for the cost, C, after h hours of babysitting.
B. How much money will she make if she babysits for 5 hours?
C. If Nicole earned $48.00, how many hours did she babysit?
How do we find the factors of x2 – 64
Find numbers that multiply to be O but adds to be -64
O Find numbers that multiply to be 1 but adds to be -64
Find numbers that multiply to be -64 but adds to be 1
Find numbers that multiply to be -64 but adds to be 0
Answer:
The factors of x²-64 is equal to (x-8)(x+8).
Step-by-step explanation:
The given expression is:
x²-64
we know that, 8² = 64
So,
(x²-8²) = (x-8)(x+8) [As (a-b)(a+b) = a²-b²]
So, the factors of x²-64 i equal to (x-8)(x+8).
define isometric angle
Answer:
it's just a angle that is 3D
Step-by-step explanation:
Marcie Ann Weber, age 32, takes out $15,000 of a term insurance for a ten year term.
a. annual premium: $ a0
b. monthly premium: $ a1
Answer:
Step-by-step explanation:
a. annual premium: 79.35
b. monthly premium: 7.14
Marcie Ann Weber, age 32, takes out $15,000 of a term insurance for a ten-year term. Annual premium = $1,500 per year and monthly premium = $125 per month.
What is division?One type of operation is division in mathematics. In this procedure, the phrases or numbers are divided into the same number of components.
Given: Marcie Ann Weber,
insured amount of term insurance plan = $15,000.
Number of year = 10 year
To find the amount of annual premium:
Divide the total insured amount by number of years.
Annual premium = Insured amount of term insurance plan / Number of year
Annual premium = $15,000 / 10
Annual premium = $1,500 per year
To find the amount of monthly premium:
Monthly premium = Insured amount of term insurance plan / Number of month in 10 year
Monthly premium = 15,000 / (10 x 12)
Monthly premium = 15,000 / 120
Monthly premium = $125 per month.
Therefore, annual premium = $1,500 per year and monthly premium = $125 per month.
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What is the value of a?
A. -18
B. -14
C. 14
D. 18
HELP ME ASAP!!!!!!!!
See picture below.
Answer:
Step-by-step explanation:
x+3 - x = 3 = width
2(x+3) = 2x + 6 = length
2x + 6 +2x +6 +3 +3 = 4x + 18 = Perimeter of T
how many total elements are in an array with 4 rows and 7 columns?
a. 4
b. 7
c. 28
d. 11
The total number of elements in an array is indeed equal to the product of its number of rows and columns. In this case, since the array has 4 rows and 7 columns, the total number of elements is 4 x 7 = 28.
The total number of elements in an array is equal to the product of its number of rows and columns. In this case, the array has 4 rows and 7 columns, so the total number of elements is:
4 x 7 = 28
Therefore, the answer is (c) 28.
The total number of elements in an array is indeed equal to the product of its number of rows and columns. In this case, since the array has 4 rows and 7 columns, the total number of elements is 4 x 7 = 28.
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One year of classes at the University of Texas at Austin costs $10,700.
Georgio has received a grant that will pay $700 and a scholarship for
$5,500. He wants to get a job to pay 40% of the remainder of the costs
and borrow the rest of the money. How much does he need to earn on
his job, and how much will he need to borrow?
O
Georgio has to earn $1,600 and borrow $2,700.
Georgio has to earn $1,800 and borrow $2,700.
Georgio has to earn $1,800 and borrow $2,300.
Georgio has to earn $1,600 and borrow $2,300.
Answer:
Georgio has to earn $1,800 and borrow $2,700.
I am sorry i am wasting your time please help!
Step-by-step explanation:
True
false
false
true
i think its that I'm sorry if its wrong
What is the surface area of this right rectangular prism with dimensions of 8 inches by 4 inches by 14 inches?
a. 310
b. 400
c. 525
d. 650
Answer:
400
Step-by-step explanation:
The area of sides and add then up
helpppp plsssss(I’ll give 80 pointssss
Answer:
-4 + -6 = -10
Step-by-step explanation:
From the line at negative 4 it goes to negative 10 you need to add six to four to make ten. Though since it is negative numbers we add a negative 6
Evaluate the following expression for P = -3 and S = 2
Answer: -9
2 to the power of 0 = 1 then all you have to do is plug in the numbers and simplify
Answer:
-9
Step-by-step explanation:
Well you just subsitute it all and solve from there
s^0= 2^0
p^-2= -3^-2
Anything squared to the power of 0 is 1
so its already 1/smth
the second part is just 3^-2 first which is 1/9 then the negative sign which is -1/9
PLEASE HELP ME ITS AN EMERGENCY!
Answer:
Number 1 is correct
4.5 x 12 = 54
Number 3 is wrong,
Formula of a triangle:
BH x 1/2(basically dividing by 2)
8 x 15 = 120,
120 DIVIDED BY 2 = 60 is your area, not 120.
Your plug in would be for the triangle:
8 x 15 x 1/2
Number 5 is wrong.
11 + 4 = 15
15 x 6 (you forgot to multiply by the height!) = 90
90 divided by 2 ( x 1/2) = 45 is your area, NOT 90.
Your formula for a trapezoid is:
(b1 + b2) x h x 1/2 Don't forget your height next time!
Plug in: (4 + 11) x 6 x 1/2
Mrs. Bruce wants to put in a swimming pool with a deck around the perimeter of the pool. The pool will be rectangular shaped and will have dimensions of 12 feet by 20 feet. The deck around the perimeter will be uniformed in width and have a total area of 68 square feet. Find the width of the deck.
Hint: Draw and accurately label a sketch of the deck and pool in the space below.
Answer:
I think! 3.5 feet wide
Step-by-step explanation:
the area of the pool is 240 square feet. divide by 68 square feet gives you 3.539= 3.5 feet wide. dont shoot me if I'm wrong lol
The width of the deck is approximately 2.65 feet.
To solve the problem, we need to first find the total area of the pool and deck combined, and then subtract the area of the pool to find the area of the deck.
The total area of the pool and deck can be represented as follows:
(12 + 2x) x (20 + 2x)
where x is the width of the deck.
The area of the pool is:
12 x 20 = 240
So, the area of the deck can be found by subtracting the area of the pool from the total area:
(12 + 2x) x (20 + 2x) - 240 = 68
Expanding the left side and simplifying, we get:
4x²+ 64x - 208 = 0
Dividing both sides by 4, we get:
x²+ 16x - 52 = 0
Using the quadratic formula, we get:
x = (-b ± √(b² - 4ac)) / 2a
Where a = 1, b = 16, and c = -52.
Plugging in these values, we get:
x = (-16 ± √(16² - 4(1)(-52))) / 2(1)
x = (-16 ± √(960)) / 2
x = (-16 ± 4√(15)) / 2
x = -8 ± 2√(15)
Since the width of the deck cannot be negative, we can discard the negative solution, and we are left with:
x = -8 + 2√(15)
So, the width of the deck is approximately 2.65 feet.
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solve the given differential equation by undetermined coefficients. 1 4 y'' y' y = x2 − 4x
The given second-order linear differential equation, 1y'' + 4y' + y = x^2 - 4x, can be solved using the method of undetermined coefficients. The particular solution is obtained by assuming a form for the solution and determining the coefficients based on the right-hand side of the equation.
To solve the given differential equation by undetermined coefficients, we first consider the homogeneous equation, which is obtained by setting the right-hand side equal to zero: 1y'' + 4y' + y = 0. The characteristic equation associated with this homogeneous equation is [tex]r^2[/tex]+ 4r + 1 = 0, where r represents the roots of the equation. Solving this quadratic equation, we find two complex conjugate roots: r = -2 ± i.
Since the right-hand side of the original equation is a polynomial of degree 2, we assume a particular solution of the form y_p = A[tex]x^{2}[/tex] + Bx + C. Substituting this assumed form into the original equation, we differentiate it twice to obtain the expressions for y''_p and y'_p, and substitute them back into the original equation. This allows us to equate the coefficients of like powers of x on both sides of the equation.
By comparing coefficients, we find that A = 1 and B = -2. However, the term C is a constant and does not contribute to the differential equation. Hence, the particular solution is y_p = [tex]x^{2}[/tex] - 2x.
Finally, the general solution of the differential equation is given by the sum of the homogeneous solution and the particular solution: y = y_h + y_p. Since the homogeneous solution contains complex roots, it can be expressed as y_h =[tex]e^{-2x}[/tex](C_1cos(x) + C_2sin(x)), where C_1 and C_2 are arbitrary constants. Thus, the complete solution is y = [tex]e^{-2x}[/tex]C_1cos(x) + C_2sin(x)) + [tex]x^2[/tex] - 2x.
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