The null and alternative hypotheses for this scenario can be formulated as follows:
Null Hypothesis (H0): The mean depression scores of the bullies and bully-victims are equal.
Alternative Hypothesis (H1): The mean depression scores of the bullies and bully-victims are not equal.
We can represent these hypotheses symbolically as:
H0: μbullies = μbully-victims
H1: μbullies ≠ μbully-victims
where μbullies and μbully-victims are the population means of depression scores for bullies and bully-victims, respectively.
Note that we do not assume any prior knowledge or expectation regarding which group may have a higher mean depression score. The null hypothesis assumes that the mean depression scores are equal, and the alternative hypothesis allows for the possibility that they are not equal in either direction.
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Consider an example of an apartment: the number of bedrooms, bathrooms, and the floor of an apartment determines its price. Which is/are the predictor variable(s) in this example?.
By using function, it can be concluded that-
The predictor variables are bed, bath, floor
What is function?
A function from A to B is a rule that assigns to each element of A a unique element of B. A is called the domain of the function and B is called the codomain of the function.
There are different operations on functions like addition, subtraction, multiplication, division and composition of functions.
In a function y = f(x), x is the independent variable and y is the dependent variable.
The price of an apartment is dependent on the number of bedrooms, bathrooms and the floor of the apartment
So the required function is p = f(bed, bath, floor) where p is the price of the apartment
The predictor variables are bed, bath, floor
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Find the lateral surface area of the cylinder. Round your answer to the nearest tenth.
Answer:
\( = 2\pi \: r \: h \\ 2 \times \pi \times 4 \times 9 \\ = 226 .19 {cm}^{2} \)
Can I have the brainliest please?
Answer:
9 X 4 = 36
Step-by-step explanation:
not really the answer sorry pls dont be mad
Find the inverse of the following matrix:
121
302
182
The inverse of this matrix is not defined
0131
208
122
The inverse of the given matrix is not defined.
To find the inverse of a matrix, we need to check if the matrix is invertible or non-singular. For a square matrix to be invertible, its determinant must be non-zero.
Let's calculate the determinant of the given matrix:
Det(Matrix) = (1 * 0 * 2) + (2 * 2 * 1) + (1 * 3 * 8) - (2 * 0 * 1) - (1 * 2 * 8) - (1 * 3 * 0)
= 0 + 4 + 24 - 0 - 16 - 0
= 12
Since the determinant of the given matrix is non-zero (12 ≠ 0), it implies that the matrix is invertible.
Next, we can proceed to find the inverse of the matrix by using the formula:
Matrix^(-1) = (1/Det(Matrix)) * Adjoint(Matrix)
However, before calculating the adjoint of the matrix, let's check for any possible errors in the matrix elements. The elements of the matrix you provided are not consistent, and it seems there might be a mistake. The matrix you provided (121, 302, 182) does not conform to the standard 3x3 matrix format.
In conclusion, based on the given matrix, the inverse is not defined. Please make sure to provide a properly formatted 3x3 matrix to find its inverse.
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A regulation-sized gymnasium is 80 feet wide and 100 feet long. If a scale model of the gymnasium is 12 inches long, how wide is the model?
The width of the scale model is 9.6 inches long
How to determine the width of the model?The dimensions of the regulation-sized gymnasium is given as
80 feet wide by 100 feet long
This means that
Width = 80 feet
Length = 100 feet
For the scale model, we have
Length = 12 inches
The scale can be represented as
Scale = Length : Width
This means that
12 inches : Width = 100 feet : 80 feet
Express as fraction
So, we have
Width/12 inches = 80 feet/100 feet
This gives
Width/12 inches = 0.80
Multiply both sides by 12 inches
Width = 9.6 inches
Hence, the width is 9.6 inches
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What is the perimeter of the triangle?
Please help ASAP!
Answer:
35 units
Step-by-step explanation:
Answer:
36
Step-by-step explanation:
you just add together the lengths of each of its 3 sides
the length of hypotenuse, I found using theorem of pythagoras
John is 5 years older than Mary. In 10 years, twice John's age decreased by Mary's age is 35, and John's age will be
twice Mary's current age. Find their ages now.
If x is Mary's age now and yis John's age now, which system of equations could not be used to solve the problem?
Answer:
M=15
J=20
Step-by-step explanation:
Let J and M be the present age of John and Mary respectively:
J=M+5
2(J+10)−(M+10)=35
2(M+5+10)−(M+10)=35
2M+30−M−10=35
M=15
J=20
4. What is 0.5% of 75??
Answer:
0.375
Step-by-step explanation:
what is the radius of a right circular cylinder with a volume of 12 in3 if it has a minimum surface area?
The value of radius of a right circular cylinder is 1,248 in for which the minimum surface area is obtained.
Define right circular cylinder?A cylinder with two circular bases and a line connecting their centers that is perpendicular to both bases.Volume of the right circular cylinder be;
v(c) = 12 in³ = π*r²*h
In which, h is the height of the cylinder,
Then , h = 12 / π*r²
Surface area of a right circular cylinder is:
S = area of base and top + lateral area
S(A) = 2*π*r² + 2*π*r*h ....eq 1
Put value of 'h' in equation (1)
S(r) = 2*π*r² + 2*π*r* ( 12 / π*r²)
S(r) = 2*π*r² + 24 /r
Differentiate both sides,
S´(r) = 4*π*r - 24 /r²
Put , S´(r) = 0 to get the critical points.
4*π*r - 24 /r² = 0
π*r - 6/r² = 0
π*r³ - 6 = 0
r³ = 1,91
r = 1,248 in
Check for the minimum surface area for r = 1,248 in.
Find the second derivative,
S´´(r) = 4*π + 48/r³
S´´(r) will always be positive.
Thus, the minimum surface area S is for r = 1,248 in.
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describe the vertical asymptotes) and holes) for the graph of y=x-6/x^2 5x 6
Given the function `y = (x-6) / (x^2 + 5x + 6)`, let's identify the vertical asymptotes and holes: Factoring the denominator, we get`(x^2 + 5x + 6) = (x+2)(x+3)`So, `y = (x-6) / (x+2)(x+3)`
The vertical asymptotes of the function are the roots of the denominator. Thus, the vertical asymptotes of the function are `x = -2` and `x = -3`.Now, we'll look for the holes in the function. A hole is a point where the function is undefined but can be simplified by canceling common factors.
In the given function, we notice that the numerator `(x-6)` and the denominator `(x+2)(x+3)` have a common factor of `(x-6)`. Thus, there is a hole at `x = 6`.We can cancel `(x-6)` from both numerator and denominator to obtain the simplified function `y = 1 / (x+3)`.Therefore, the vertical asymptotes are `x = -2` and `x = -3`, and there is a hole at `x = 6`.
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Find the slope of the line through each pair of points.
(−13, −19), (13, 3)
Find the slope of each line.
y = 2x − 1
The question gives us two points, (−13, −19) & (13, 3), from which we can find the slope and later the equation of the line.
Finding the Slope
The slope of the line (m) = (y₂ - y₁) ÷ (x₂ - x₁)
= ((3 - (-19)) ÷ (13 - (-13))
= 22 ÷ 26
= ¹¹/₁₃
Checking my answer:
We can now use the point-slope form (y - y₁) = m(x - x₁)) to write the equation for this line. If the line passes through both of the points then we calculated the slope correctly.
⇒ y + 19 = ¹¹/₁₃ (x + 13)
I have included a Desmos Graph that I graphed using the information equation (including the slope) and the points given.
Suzi tiene $20 dólares en una cuenta de ahorros. El tipo de intereses es del 10% anual. Cuanto ganara en un año
Responder:
$ 22
Explicación paso a paso:
Monto principal = $ 20
Tasa de interés = 10% = 10/100 = 0.1
Tiempo = 1 año
Cantidad ganada después de 1 año:
Principal (1 + (tasa de interés * tiempo))
$ 20 (1 + (0,1 * 1))
$ 20 (1 + 0.1)
$ 20 (1,1)
$ 22
Ganará $ 22 después de un año.
Find the point(s) of intersection, if any, between each circle and line with the equations given.
(x-1)^{2}+y^{2}=4
y=x+1
The circle and the line intersect at **(1,2)** and **(-1,0)**.
The equation of the circle is (x - 1)^2 + y^2 = 4. This equation can be rewritten as (y - 0)^2 = 4 - (x - 1)^2. This means that the center of the circle is (1,0) and the radius of the circle is 2.
The equation of the line is y = x + 1. To find the point of intersection of the circle and the line, we need to substitute the equation of the line into the equation of the circle. This gives us (x + 1)^2 = 4 - (x - 1)^2. Expanding the squares gives us x^2 + 2x + 1 = 4 - x^2 + 2x - 1. Simplifying the equation gives us 4x = 2, so x = 0.5. Substituting x = 0.5 into the equation of the line gives us y = 0.5 + 1 = 1.5. Therefore, one point of intersection is (0.5,1.5).
We can also find the other point of intersection by substituting x = -1 into the equation of the line. This gives us y = -1 + 1 = 0. Therefore, the other point of intersection is (-1,0).
Here is a graph of the circle and the line:
```
[asy]
unitsize(1 cm);
draw((0,-2)--(0,4));
draw((-2,0)--(4,0));
draw(Circle((1,0),2));
draw((1,0)--(-1,1));
dot("$(1,2)$", (1,2), SW);
dot("$(-1,0)$", (-1,0), SE);
[/asy]
```
As you can see, the circle and the line intersect at the two points identified above.
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Use long division to rewrite the rational function. What are the asymptotes of f? Sketch the graph.
F(x)= 8x^2/4x^2+ 1
-3x+8<15
Find the solution set of the inequality
Answer:
Your answer is: x>-7/3
Interval Notation: (-7/3, ∞)
Step-by-step explanation:
Hope this helped : )
x > - 7/3
x ∈ ( - 7/3 ; +oo)
Step-by-step explanation:Hi there !
- 3x + 8 < 15
- 3x < 15 - 8
- 3x < 7 | (-)
3x > - 7
x > - 7/3
x ∈ ( - 7/3 ; +oo)
Good luck !
True or False: A shift is another type of permutation
It is true that the A shift is a type of permutation where elements in a sequence or set are moved to the right or left by a certain number of positions.
For example, shifting the sequence (1,2,3,4,5) to the right by 2 positions would result in the sequence (4,5,1,2,3). This can be represented mathematically as (1,2,3,4,5) → (4,5,1,2,3), which is a permutation of the original sequence. Shifts can be useful in various applications, such as cryptography or data compression, where rearranging elements in a sequence can improve efficiency or security.
True. A shift is a specific type of permutation. In general, a permutation refers to the arrangement of objects in a particular order. A shift, also known as a cyclic permutation, involves moving elements of a set in a fixed direction, such that the order is maintained, but the elements change positions. In a shift, the first element moves to the last position, while all other elements move one position forward. This maintains the relative order of the elements and results in a new arrangement. Therefore, a shift is a type of permutation, as it represents an altered ordering of the elements in a set.
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Consider the function h(x) = x3 – 2x. Find the value of h(3).=AnswerE KeyKeyboard Shoh(3) =-
To find h(3) we need to substitute x = 3 into h(x) as follows:
\(\begin{gathered} h(x)=x^3-2x \\ h(3)=3^3-2(3) \\ h(3)=27-6 \\ h(3)=21 \end{gathered}\)
2 prove by contradiction that for any integer n n 2 is odd n is odd.
Assuming n is even contradicts that n^2 is odd, thus, for any integer n, if n^2 is odd then n is odd.
To prove by contradiction that for any integer n, if n2 is odd then n is odd, we will assume the contrary, that n is even. Since n is even, it can be expressed as 2k, where k is an integer.
This implies that n2 can be written as (2k)2, which is equal to 4k2. Since 4k2 is an even number, it follows that n2 is even, which contradicts our original assumption that n2 is odd.
Therefore, our assumption was false and for any integer n, if n2 is odd then n is odd.
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How many groups of 4 make 20?
Answer:5
Step-by-step explanation:
20/4=5
shocks occur to a system according to a poisson process of intensity lambda. each shocks causes some damage. what type of process could model the damage up to time t?
A suitable process to model the accumulated damage up to time t, given that shocks occur according to a Poisson process of intensity lambda, is the Compound Poisson Process.
In a Compound Poisson Process, the number of shocks occurring up to time t follows a Poisson distribution with parameter lambda*t, while the magnitude of each shock's damage is determined by an independent and identically distributed (i.i.d.) random variable. The total damage up to time t is the sum of the damages caused by each individual shock. This process combines the random arrival of shocks from the Poisson process and the variability in damage caused by each shock. By modeling the damage accumulation in this way, we can capture both the randomness in the arrival of shocks and the uncertainty in the amount of damage caused by each shock.
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In one of the trailers the characters, narrowly escape the displacer beast by jumping into what?
The characters in the trailer would need to reach an initial velocity of at least 13.4 m/s in order to safely jump the crevice and escape the displacer beast.
In one of the trailers, the characters narrowly escape the displacer beast by jumping over a crevice. To calculate the minimum velocity required for the jump, we can use the equation for the distance of an object thrown vertically upwards:
v1 = √(2gh)
where v1 is the initial velocity, g is the acceleration due to gravity (9.81 m/s2), and h is the height of the crevice.
For example, if the crevice is 6 meters deep, the required initial velocity to safely jump over it would be:
v1 = √(2 * 9.81 * 6)
v1 = 13.4 m/s
Therefore, the characters in the trailer would need to reach an initial velocity of at least 13.4 m/s in order to safely jump the crevice and escape the displacer beast.
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Complete question:
How do you calculate the minimum velocity required to jump over a crevice to escape a displacer beast?
A -10 nC charge is located at (x, y) = (1.2 cm , 0 cm).
What is the x-component of the electric field at the position (x, y) = (−4.1cm, 0 cm)?Express your answer to two significant figures and include the appropriate units.
We can use Coulomb's law to calculate the magnitude of the electric field at a distance r away from a point charge Q:
E = k * Q / r^2
where k is Coulomb's constant, Q is the charge of the point charge, and r is the distance from the point charge.
In this problem, we have a point charge Q of -10 nC located at (1.2 cm, 0 cm), and we want to find the x-component of the electric field at a distance r = 5.3 cm away at position (-4.1 cm, 0 cm).
To find the x-component of the electric field, we need to use the cosine of the angle between the electric field vector and the x-axis, which is cos(180°) = -1.
So, the x-component of the electric field at position (-4.1 cm, 0 cm) is:
E_x = - E * cos(180°) = - (k * Q / r^2) * (-1)
where k = 9 x 10^9 N*m^2/C^2 is Coulomb's constant.
Substituting the given values, we get:
E_x = - (9 x 10^9 N*m^2/C^2) * (-10 x 10^-9 C) / (0.053 m)^2
E_x ≈ -30,566.04 N/C
Rounding this to two significant figures and including the appropriate units, we get:
The x-component of the electric field is about -3.1 x 10^4 N/C (to the left).
Please help thanks this is due today!
D. \( ({ - 8})^{2} - 9 + ( - 7)\) ✅
Step-by-step explanation:
\( {( - 32 \div4 })^{2} - 9 + ( - 7) \\ \\ = ({ - 8})^{2} - 9 +(- 7 )\\ \\=64-9-7\\\\ = 64 - 16 \\ \\ = 48\)
Note:-
\(\sf\red{PEMDAS\: rule.}\)
P = Parentheses
E = Exponents
M = Multiplication
D = Division
A = Addition
S = Subtraction
\(\sf\red{(+\:x\:-)\:=\:-}\)
\(\sf\red{(-\:x\:-)\:=\:+}\)
\(\bold{ \green{ \star{ \orange{Mystique35}}}}⋆\)
Please help me I need to finish this :)
2x2= please get it right
Answer:
2x2 is equal to 4 for sure
QUICK HELP PLEASE
7(2z + 5)
Answer:
Step-by-step explanation:How to solve your question
Your question is
7(2+5)
Simplify
Distribute
7(2+5)
14+35
Solution 14+35
plz mark brainly
Joel can read around 16 sentences per minute of his current novel. He wants to finish his reading before the movie comes out next week. If he has 20 pages left to read and each page has about 130 sentences, how many hours should Joel set aside to complete his reading? Show your work to receive full credit. Round to the nearest tenth of an hour, if needed. (10 points)
Answer:
2.7 hours or 2 hrs, 42 min
Step-by-step explanation:
to find the total number of sentences remaining we can multiply 130 sentences times 20 pages remaining to get
2,600 sentences
if we divide that number by 16 we'll get the number of minutes he needs to finish the novel
2600/16 = 162.5 minutes which, when divided by 60, is 2 7/10 hours
7/10 = 42/60 so it comes out to 2.7 hours or 2 hrs, 42 min
what is −4y−4+(−3)? kkkxznkk;mxk;mxck;mk;mk;xc
Answer:
-4y-7
Step-by-step explanation:
- 4 y - 4 + ( - 3 )
We keep the -4y as it is since it can not be simplified. Then we try to open the parentheses. we do this by multiplying by 1.
- 4 y - 4 + 1 * ( - 3)
= - 4 y - 4 - 3
Then we combine the - 4 and -3.
= - 4 y - 7
Answer: I can confirm that it is '-4y-7'
Step-by-step explanation:
The volume of a box is 0.001 cubic units. If the box is a cube, what is the length of one of its edges?
===============================================
Work Shown:
0.001 = 1/1000
Apply the cube root to both parts of 1/1000 to get
\(\sqrt[3]{1} = 1\\\\\sqrt[3]{1000} = 10\)
So this means that, \(\left(\frac{1}{10}\right)^3 = \frac{1}{10}*\frac{1}{10}*\frac{1}{10} = \frac{1}{1000} = 0.001\)
Having a side length of 1/10 = 0.1 unit leads to a volume of 0.001 cubic units.
-------------
A shortcut alternative is to use your calculator to get
\((0.001)^{1/3} = 0.1\)
The exponent of 1/3 is the same as a cube root.
HELP HELP HELP PLEASE
I NEED THE ANSWER TO A
55
Step-by-step explanation:
What is the coefficient of the following term?
-X