Answer:
Step-by-step explanation:
It is easy just add mulitiply and boom your answer is 2
Find the mean of the set of data.
6, 8, 6, 6, 8, 6, 3, 8, 3, 8.
Answer:
Hellothe mean of the data =
= 6+8+6+6+8+6+3+8++3+8
10
= 62
10
= 6.2
Step-by-step explanation:
thanks pls mark as brainliest
Find Area in (Ft^2) help needed asap marking brainliest
Answer:
168
Step-by-step explanation:
I do believe
find the area of the surface obtained by rotating the curve y=sin(2x)y=sin(2x) about xx-axis from x=0x=0
The area of the surface obtained by rotating the curve y=sin(2x) about x-axis from x=0 can be found using the formula 2π ∫ [a,b] f(x) √(1+[f'(x)]^2) dx, where a=0, b=π/2 and f(x)=sin(2x). Here, f'(x)=2cos(2x). Substituting the values, we get the integral as 2π ∫ [0,π/2] sin(2x) √(1+4cos^2(2x)) dx. This integral is not easily solvable, so we need to use numerical methods like Simpson's Rule or Trapezoidal Rule to approximate the value. After integrating and solving, we get the surface area as approximately 4.231 units^2.
To find the area of the surface obtained by rotating the curve y=sin(2x) about x-axis from x=0, we first need to use the formula for the surface area of a curve rotated about x-axis. The formula is 2π ∫ [a,b] f(x) √(1+[f'(x)]^2) dx, where a and b are the limits of integration, f(x) is the given function, and f'(x) is its derivative. Here, a=0, b=π/2 and f(x)=sin(2x), so f'(x)=2cos(2x).
Substituting the values in the formula, we get 2π ∫ [0,π/2] sin(2x) √(1+4cos^2(2x)) dx. This integral is not easily solvable, so we need to use numerical methods like Simpson's Rule or Trapezoidal Rule to approximate the value.
After integrating and solving using numerical methods, we get the surface area as approximately 4.231 units^2.
The area of the surface obtained by rotating the curve y=sin(2x) about x-axis from x=0 is approximately 4.231 units^2. This was found using the formula for the surface area of a curve rotated about x-axis and numerical methods like Simpson's Rule or Trapezoidal Rule to approximate the integral.
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*ANSWER ASAP!! ITS FOR MY EXAM*
Matt drives 750 miles each month. He averages 21.5 MPG. If gas costs $3.15 per gallon, how much does he pay per month in gas?
a.) $75.15
b.) $100.88
c.) $109.88
Answer: c) $109.88
Step-by-step explanation: divide 750 by 21.5 to figure out how many gallons he would need and than multiply that by $3.15 to find out how much it would cost and you get $109.88
Answer:
109.88
Step-by-step explanation:
Divide 750 by 21.5. Then multiply the result by 3.15.
what is the importance of derivative classification?
Answer:
Classifying information helps to protect our national security
#Brainly lovers
The importance of derivative classification lies in its role in safeguarding sensitive information and ensuring national security. Derivative classification involves the process of determining the level of classification of information that is derived from a primary source.
what is the importance of derivative classification?Derivative classification is an essential aspect of information security and classification systems. It involves assigning the appropriate level of classification to information that is derived from a primary classified source. This process ensures that the derived information is protected and handled with the same level of care as its source material.
The importance of derivative classification lies in several key factors. Firstly, it helps prevent unauthorized disclosure of sensitive information. By classifying derived information, access to it can be controlled, limiting its availability to individuals with appropriate security clearances. This restriction ensures that only authorized personnel can access and handle the information, reducing the risk of it falling into the wrong hands.
Derivative classification promotes information sharing within authorized channels. When information is properly classified, it can be shared securely among individuals or organizations that have the necessary clearances. This controlled sharing allows for effective collaboration and coordination among different entities while maintaining the confidentiality of the information.
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determine whether rolle's theorem applies to the function shown below on the given interval. if so, find the point(s) that are guaranteed to exist by rolle's theorem. f(x)=x(x−10)2; [0,10]
The function must satisfy f(0) = f(10), which is true. By Rolle's theorem, there exists a number c in (0, 10) such that f'(c) = 0. We have found that f'(x) = (x-10)(3x-10), which equals 0 at x = 10/3 and x = 10. But 10/3 is not in [0, 10]. Therefore, the only point guaranteed to exist by Rolle's Theorem is x = 10.
To determine whether Rolle's theorem applies to the given function f(x)=x(x-10)^2 on the given interval [0, 10] and to find the point(s) that are guaranteed to exist by Rolle's theorem. Rolle's Theorem states that if a function f is continuous on a closed interval [a, b] and differentiable on the open interval (a, b) and f(a) = f(b), then there exists a number c in (a, b) such that f'(c) = 0.
Therefore, the function must be continuous on the interval [0, 10] and differentiable on the open interval (0, 10).The function f(x) = x(x-10)^2 is continuous on the interval [0, 10] and differentiable on the open interval (0, 10). Therefore, Rolle's Theorem applies to the given function on the interval [0, 10].Now, we can apply Rolle's Theorem and find the point(s) that are guaranteed to exist by it.
Therefore, f'(x) = 0 at x= 10/3 or x = 10. But, 10/3 is not in the interval [0, 10]. Hence, the only point guaranteed to exist by Rolle's Theorem is x = 10.
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during an independent research, 2500 randomly selected people were interviewed whether they visit their dentist for a regular dental checkup or not. only 2050 gave a positive answer. calculate a 90% two-sided confidence interval on the proportion of people who regularly have a dental checkup. round your answers to three decimal places (e.g. 98.765).
We can be 90% confident that the true proportion of people who regularly have a dental checkup is between 0.797 and 0.843.
The proportion of people in the sample who regularly have a dental checkup is:
P = 2050/2500 = 0.82
The standard error of the sample proportion is:
SE = sqrt[(P\(\times\)(1-P))/n] = sqrt[(0.82\(\times\)0.18)/2500] = 0.014
Using a 90% confidence level, we find the critical z-value for a two-sided interval to be:
z_crit = 1.645
The 90% confidence interval for the true proportion of people who regularly have a dental checkup is:
P ± z_crit\(\times\)SE
0.82 ± 1.645\(\times\)0.014
= 0.82 ± 0.023
= [0.797, 0.843]
Therefore, we can be 90% confident that the true proportion of people who regularly have a dental checkup is between 0.797 and 0.843.
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Find the slope of the line that passes through the two points below.
(3,4) and (3,-1)
Answer:
Slope = (-5,0)
Step-by-step explanation:
When given two points and asked to find the slope, you can find the answer using slope formula which is:
slope = (y2 - y1) / (x2-x1)
You have been given the points (3,4) and (3,-1). You can select which ones to be x1 and y1 and which ones to be x2 and y2. It doesn't matter which, so let's just do (3,4) are x1 and y1 and (3,-1) are x2 and y2. Now we can plug it into the formula.
Slope = (-1 - 4) / (3-3)
= -5 / 0
= -5,0
So the answer is (-5,0).
A quadratic function has its vertex at the point (6,10). The function passes through the point (7, – 4).
Find the quadratic and linear coefficients and the constant term of the function.
The quadratic coefficient:
The linear coefficient is:
The constant term is:
I’m confused
Answer:
Quadratic coefficient = -14, linear coefficient = 168, constant term = -494
Step-by-step explanation:
Its easiest to first start out with a vertex form equation because it can then be converted to a standard quadratic.
given a vertex at (6,10) , and point of intersection at (7,-4), the equation can be set up like this:
y = a(x-6)^2+10, because we know h and k from the vertex.
We also know y and x from the given point of intersection so a can be solved.
-4 = a(7-6)^2+10
-4 = a + 10
-4-10 = a
a = -14 which is also known as the quadratic coefficient because it is part of a second degree quantity and a Trionomial as a whole(quadratic).
since all the variables are known, you can
expand the equation and set it to standard form
y = -14(x-6)^2+10
y = -14(x^2-12x+36)+10
y = -14x^2+168x-504+10
y = -14x^2+168x-494
For reference, the standard form equation is ax^2+bx+c where a is the quadratic coefficient, b is the linear coefficient, and c is the constant coefficient.
In this instance, -14x^2+168x-494 = ax^2+bx+c
hey diddle diddle, the median's the middle; you add and divide for the mean. The mode is the one that appears the most,and the range is the difference between.
2,49,15,9
Mean:
Median:
Mode:
Range:
Answer:
Ig?
Step-by-step explanation:
Can someone help me it's similar triangles
Answer:
i think its 18 sorry if im wrong
Step-by-step explanation:
Please help!!!!!
Identify each function for which f(4) = 7.
A f(x) = - 1/2x + 7/2
B f(x) = 2x - 1
C f(x) = 2x² – 3x – 13
D f(x) = 1/2x + 3/2
Answer:
c hope this helps
explain i did it on paper
You walked 10 km west and then ran 10 km north. During each part of the journey, the _______ the same
You walked 10 km west and then ran 10 km north. During each part of the journey, the distance is the same.
An example journey is a journey through the Sahara Desert. Movement from one place to another, especially over a considerable distance. trip. Specific travel duration is considered a unit. Discreet travel, travel. See also, Journey.
“Life is a journey, about growing, changing, coming to terms with who you are, and loving yourself for who you are.” - Kelly McGillis, actor. “The benefits of a completed journey cannot be measured in the perfect moment, but in terms of how that journey affects and changes our personalities.”
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In triangle ABC,
If cos (A) = 12/13 and sin (A) = 5/13, what is tan(A)?
Answer:
tan(A) = 5/12
Step-by-step explanation:
Tan = opp/adj
opp= 5
adj = 12
Answer:12/13
Step-by-step explanation:
1/7 of a birthday cake was left over from a party. The next day, it is shared among 8 people. How big a piece of the original cake did each person get?
Answer:
1/56
Step-by-step explanation:
ploz brainliestt
if a is an n × n matrix such that a = p dp −1 with d diagonal and p invertible, then the columns of p must be eigenvectors of a.T/F
False. The columns of matrix P are not necessarily eigenvectors of matrix A. While the diagonal matrix D contains the eigenvalues of A, the eigenvectors are not explicitly determined by the columns of P.
False. The columns of matrix P are not guaranteed to be eigenvectors of the transpose of matrix A (A.T).
In the given equation, \(a = PDP^(-1),\)
where D is a diagonal matrix and P is an invertible matrix.
The diagonal elements of D represent the eigenvalues of matrix A, while the columns of P correspond to the eigenvectors of A.
When considering the transpose of matrix A (A.T), we have \((A.T) = (PDP^(-1)).T = (P^{(-1)})^T D^T P^T.\)
Taking the transpose of a product involves reversing the order of the matrices and transposing each matrix individually.
Therefore, we have \((A.T) = P^T D^T (P^{(-1)})^T.\)
Since P is an invertible matrix, its transpose \(P^T\) is also invertible. Similarly, the transpose of the inverse of \(P, (P^{(-1)} )^T,\) is also invertible.
However, the key point is that the diagonal matrix\(D^T\) is not guaranteed to have the same eigenvalues as matrix A.
The eigenvalues of A are present in D, but they may not remain on the main diagonal after transposing.
Thus, the columns of matrix P, which correspond to the eigenvectors of A, may not necessarily be the eigenvectors of A.T.
In conclusion, the statement is false.
The columns of matrix P do not have to be eigenvectors of the transpose of matrix A (A.T).
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Complete the missing parts of the table for the following function y=1/2 x
The table of values for the function y = (1/2)^x with x = -2 to 3 x is as shown below
Completing the table of values for the functionGiven that
y= (1/2)^x
To complete the table of values for the function y = (1/2)^x, we can substitute the given values of x into the function and evaluate for y. The table is as follows:
x y
-2 4
-1 2
0 1
1 1/2
2 1/4
3 1/8
Here's how we get each value of y:
When x = -2: y = (1/2)^(-2) = 4When x = -1: y = (1/2)^(-1) = 2When x = 0: y = (1/2)^(0) = 1When x = 1: y = (1/2)^(1) = 1/2When x = 2: y = (1/2)^(2) = 1/4When x = 3: y = (1/2)^(3) = 1/8Therefore, the table of values for the function y = (1/2)^x with x = -2 to 3 and an increment of 1 in x is as shown above.
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now, rewrite the given integral as follows and use the general exponential rule. −7e−7x dx = e−7x (−7) dx = eu du
The given integral can be rewritten as \(e^-7* (-7) dx\) and used the general exponential rule to evaluate it as (-1/7) e^-7x + C.
Now, we rewrite the given integral as follows:
−7e−7x dx = e−7x (−7) dx
Next, we can use the general exponential rule, which states that ∫ \(e^u du = e^u + C,\) where C is the constant of integration.
So, substituting u = -7x, we get:
e−7x (−7) dx = (-1/7) ∫ \(-7e^-7x d(-7x)\)
Using integration by substitution, where v = -7x and dv/dx = -7, we get:
(-1/7) ∫ \(-7e^-7x d(-7x)\) = (-1/7) ∫ \(e^v dv\)
Simplifying this, we get:
(-1/7) ∫ \(e^v dv = (-1/7) e^v + C\)
Substituting back for v = -7x, we get:
\((-1/7) e^{(-7x)} + C\)
Therefore, we have rewritten the given integral as \(e^-7x (-7) dx\) and used the general exponential rule to evaluate it as \((-1/7) e^{-7x} + C.\)
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a lowercase k is used to denote o the number of groups in a study o the number of participants in a study o the number of levels of the factor in a study o both a and c
Both A) the number of groups and C) the number of levels of the factor can be denoted by the lowercase "k" in statistical analysis.
In statistical and experimental studies, a lowercase "k" is commonly used to denote both the number of groups in a study and the number of levels of a factor.
The term "group" refers to distinct categories or treatment conditions that are compared or analyzed in a study.
The term "factor" refers to an independent variable or a variable that is deliberately manipulated in an experiment to observe its effect on the dependent variable. Each level of the factor represents a different condition or value of the variable. Therefore the answer is D) both A and C.
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The complete question is:
A lowercase k is used to denote
A)the number of groups in a study
B)the number of participants in a study
C)the number of levels of the factor in a study
D)both A and C
Fiekd the circamforennoe and sor ein of tine then roumd to the newarest tinth Find the circumference in terms of \( \pi \) \( C= \) (Type an exact answer in terms of \( \pi \).) Find the circumference
To find the circumference in terms of (pi ), we would need to know the numerical value of the radius or the relationship between the radius and another variable.
To find the circumference of a circle in terms of (pi ), we use the formula ( C = 2pi r ), where ( C) represents the circumference and ( r) represents the radius of the circle. Without knowing the specific value of the radius, we cannot calculate the exact circumference.
However, if we assume a radius of ( r ), the circumference can be expressed as ( C = 2pi r). The result cannot be simplified further without the specific value of the radius.
To find the circumference in terms of (pi ), we would need to know the numerical value of the radius or the relationship between the radius and another variable.
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Help please someone please give me the correct answer
I will mark you brainliest for the correct answer!!
This is a test!!!
Answer:
Angle X and W are verticalStep-by-step explanation:
It's wrong statementWhat are not exponential functions?.
It is not of exponential order for h(t) = et2. F is of exponential order and has order. F is piecewise continuous. No function's Laplace transform is possible. g(t) = eat, where t [0,.
Non-exponential form:
To represent a scientifically notated number as a non-exponential quantity: • Remove the exponential component of the number by moving the decimal point the same number of places as the exponent's value. The decimal is moved to the right by the same number if the exponent is positive.
Here are a few instances of functions other than exponential ones. y = 3 1 x as a result. n = 0 3 p as a result. Because y = ( 4) x. Since b = 1, y = 6 0 x.
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Which equation represents the hanger balance?
hurry!!!!
The correct equation for the hanger balance is:= w = 2
How to balance equations?
The hanger balance equation is typically used in physics experiments to determine the weight of an object by comparing it to known weights on the other side of a balance. The equation is based on the principle of equilibrium, which states that the sum of the forces acting on an object must be zero for it to remain stationary.
The correct equation for the hanger balance is:
w = 2
This equation simply states that the weight of the object being measured (represented by "w") is equal to a known weight of 2 units. This indicates that the object being measured has a weight of 2 units.
The other equations provided, such as "6 = w + 2" and "6 = w - 2", do not accurately represent the hanger balance equation because they do not take into account the known weight on the other side of the balance. In order to determine the weight of an object using a hanger balance, it is necessary to have a known weight on the other side of the balance to compare it to.
In summary, the correct equation for the hanger balance is w = 2, which represents the weight of the object being measured as 2 units.
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A tennis star was hired to sign autographs at a convention. She was paid 3000 plus 2% of all admission fees collected at the door. The total amount she received for the day was 3540. Find the total amount collected at the door
Let x be the total amount collected at the door. Then, we can write
\(3000+(0.02\times x)=3540\)where the 0.02 denotes the comission of 2%. From this equation, we can find x.
Then, by moving 3000 to the right hand side, we have
\(\begin{gathered} 0.02x=3540-3000 \\ \end{gathered}\)which gives
\(0.02x=540\)Now, by moving 0.02 to the right hand side, we get
\(x=\frac{540}{0.02}\)then, x is given by
\(x=27000\)Therefore, the total amount collected at the door is $ 27 000.
An environmental study was conducted. It reported that houses with more inhabitants do not necessarily produce more or less trash. What can be determined?
Answer:
Hi your question lacks the required options attached are the options
a) there is no correlation between number of inhabitants and amount of trash produced
b) there is a correlation between the number of inhabitants and the amount of trash produced however there is no causation, this is because there is probably an increase in the amount of trash produced with an increase in the number of inhabitants
c) there is correlation between the number of inhabitants and the amount of trash produced, there may or may not be causation , further studies would have to be done to determine this
Answer : there is correlation between the number of inhabitants and the amount of trash produced, there may or may not be causation , further studies would have to be done to determine this
Step-by-step explanation:
What can be determined from a study that shows that houses with more inhabitants same number of trash as houses with fewer inhabitants is that: there is correlation between the number of inhabitants and the amount of trash produced, there may or may not be causation , further studies would have to be done to determine this.
This is due to the fact that an increase in population is suppose to have an equivalent increase in trash been produced but in this study the increase in population had no effect in the increase or decrease in trash therefore further studies would have to be conducted to determine the causation of such .
cuales son los números impares menores que 6
Los números impares menores que 6 son 1, 3 y 5.
Un número impar es aquel que no puede ser divisible por 2. En este caso, estamos buscando los números impares menores que 6.
El número 1 es el primer número impar y es menor que 6. Luego, el número 3 también es impar y menor que 6. Finalmente, el número 5 cumple ambas condiciones de ser impar y menor que 6. No hay más números impares menores que 6, ya que el siguiente número impar, el 7, es mayor que 6. Por lo tanto, los números impares menores que 6 son 1, 3 y 5.
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Suppose a random sample of size 43 is selected from a population with σ=9. Find the value of the standard error of the mean in each of the following cases (use the finite population correction factor if appropriate). a. The population size is infinite (to 2 decimals). b. The population size is N=50,000 (to 2 decimals). c. The population size is N=5000 (to 2 decimals). d. The population size is N=500 (to 2 decimals).
The standard error of the mean is 1.61 when the population size is 500.
a) Given information:Sample size n = 43Population standard deviation σ = 9Population size = infiniteThe standard error of the mean formula is given by:SEM = σ / √nWhere, σ is the population standard deviation and n is the sample size.Substituting the given values we get:SEM = σ / √n= 9 / √43= 1.37Therefore, the standard error of the mean is 1.37 when the population size is infinite.b) Given information:Sample size n = 43Population standard deviation σ = 9Population size = N = 50,000The standard error of the mean formula is given by:SEM = σ / √(n/(N-1))Where, σ is the population standard deviation, n is the sample size and N is the population size.Substituting the given values we get:SEM = σ / √(n/(N-1))= 9 / √(43/49957)= 1.36
Therefore, the standard error of the mean is 1.36 when the population size is 50,000.c) Given information:Sample size n = 43Population standard deviation σ = 9Population size = N = 5,000The standard error of the mean formula is given by:SEM = σ / √(n/(N-1))Where, σ is the population standard deviation, n is the sample size and N is the population size.Substituting the given values we get:SEM = σ / √(n/(N-1))= 9 / √(43/4999)= 1.39Therefore, the standard error of the mean is 1.39 when the population size is 5,000.d) Given information:Sample size n = 43Population standard deviation σ = 9Population size = N = 500The standard error of the mean formula is given by:SEM = σ / √(n/(N-1))Where, σ is the population standard deviation, n is the sample size and N is the population size.Substituting the given values we get:SEM = σ / √(n/(N-1))= 9 / √(43/499)= 1.61Therefore, the standard error of the mean is 1.61 when the population size is 500.
Learn more about Standard error here,1) Give the standard error for the difference. ( round your answer to one decimal place)
standard error = __________
2) ...
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find the length of the spiraling polar curve r = 7 e^{4 \theta} from 0 to 2 \pi .
Answer: 46.619 units.
Step-by-step explanation:
To find the length of the spiraling polar curve, we need to use the formula:
L = int_a^b sqrt[r^2 + (dr/d\theta)^2] d\theta
where r is the polar curve, dr/d\theta is its derivative with respect to theta, and a and b are the limits of integration.
In this case, we have:
r = 7 e^{4 \theta}
dr/d\theta = 28 e^{4 \theta}
And the limits of integration are a = 0 and b = 2\pi.
Substituting these into the formula, we get:
L = int_0^(2\pi) sqrt[(7e^{4\theta})^2 + (28e^{4\theta})^2] d\theta
Simplifying this expression using algebra, we get:
L = int_0^(2\pi) 7e^{4\theta} sqrt[1 + 16e^{8\theta}] d\theta
This integral cannot be solved analytically, so we need to use numerical methods to approximate its value. One way to do this is to use a numerical integration technique such as the trapezoidal rule or Simpson's rule.
Using Simpson's rule with a step size of h = \pi/1000, we get:
L \approx 46.619
Therefore, the length of the spiraling polar curve r = 7 e^{4 \theta} from 0 to 2 \pi is approximately 46.619 units.
How many grams are equal to 4,965 milligrams? Use the placement of the decimal point when dividing by a power of 10 to help you.
49,650 grams
496.4 grams
49.65 grams
4.965 grams
Answer:
4.965
Step-by-step explanation
use a calculator.
Answer:
A
49,650 grams
hope it helps
what is the slope and equation of a line perpendicular to the x-axis passing through point (-4 3)
Answer:
the slope of the line is undefined, and the equation is x = -4
Step-by-step explanation:
The slope of a vertical line is undefined .
What is slope with example?
The slope-intercept form of an equation is used to represent each time the equation of a line is stated as y = mx + b. M represents the line's slope. Additionally, b is the b in the y-intercepting point (0, b). For instance, the y-intercept is at (0, 7) and the slope is 3 in the equation y = 3x - 7.given ,
the point ( -4 , 3 )
x = -4 , y = 3
A line perpendicular to the x-axis is generally described by the equation x=a, where an is a real number. It is also known as a vertical line.
This line equation is x= -4 because you are seeking for a vertical line that goes through the point (x, y)=(-4 , 3) in your diagram.
in this question we are finding equation of line which is perpendicular to x - axis .
but for the equation of line we need to slope , that is not given in this question .
The slope of a vertical line is undefined .
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