Solve for X
C + 20 = 9
9

X - b is an unbiased estimator for A.

To show that X - b is an unbiased estimator for A, we need to demonstrate that the expected value of X - b is equal to A.

Given:

E(X) = a + b

We want to show:

E(X - b) = A

Using the linearity of the expected value operator, we have:

E(X - b) = E(X) - E(b)

Since b is a constant, E(b) = b.

Substituting the given expression for E(X), we have:

E(X - b) = a + b - b

Simplifying, we get:

E(X - b) = a

Now, comparing this result with A, we can see that E(X - b) = a = A.

So, we see that the expected value of Y is equal to a. Since a is the parameter we are trying to estimate, we can conclude that X - b is an unbiased estimator for A + b.

Therefore, X - b is an unbiased estimator for A.

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The standard error of estimate in a simple linear regression is equal to: a) the square root of the mean squared error.

Standard error of estimate simply refers to the amount of mistake that can be seen when the estimate from the regression analysis is utilized instead of the actual data, and a small estimate error is not necessarily a bad thing.

A. The assumption about errors at different levels is that the variance between two errors is the same as the variance between two other errors. The variance basically refers to the residual. The standard error is computed assuming homoskedasticity, that is, the constant variance of the error terms.

B. The standard error of the estimate is a way to measure the accuracy of the predictions made by a regression model.

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Based on the solution set S:{3} the equation which is false is

-28 =2(4p -4).

As given in the question,

Given solution set S:{3}

Equation which is false based on the solution set

1. −28 = 2(4p − 4)

Divide by 2 from both the sides

⇒ -14 = 4p -4

⇒ p = -10/4 ≠ 3

2. 5(b + 3) = 30

Divide by 5 from both the sides

⇒b + 3 =6

⇒ b = 3

3. 7 = 3y − 2

⇒ 3y = 9

⇒ y = 3

4. One third times x plus 18 equals 19

(1/3)x + 18 = 19

⇒(1/3)x =1

⇒x =3

Therefore, based on the solution set S:{3} the equation which is false is

-28 =2(4p -4).

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Answer:

Step-by-step explanation:

114048

Answer:

114048

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

when x=1, y should = 2

2(1)=2

so y=2x is correct

The determinant of a is the product of the pivots in any echelon form u of​ a, multiplied by ​(​1)r​, where r is the number of row interchanges made during row reduction from a to u is False.

Given:

The determinant of a is the product of the pivots in any echelon form u of​ a, multiplied by ​(​1)r​, where r is the number of row interchanges made during row reduction from a to u.

Definition of det A:

det A = (-1)^r * (product of pivots in echelon form) if A is invertible or 0 when A is not invertible.

From definition of det A we can simply say the given statement is false - This can only hold if A is an invertible matrix, but the problem does not state this.

Reduction to an echelon form may also include scaling a row by a nonzero constant, which can change the value of the determinant.

Therefore the determinant of a is the product of the pivots in any echelon form u of​ a, multiplied by ​(​1)r​, where r is the number of row interchanges made during row reduction from a to u is False.

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In the continuous base ∣α⟩, we can find Ψ(α) by expressing ∣ψ⟩= F^∣ϕ⟩ in terms of the base states. To work on ⟨ϕ∣ψ⟩ in the ∣α⟩ base, we can use Greek β, γ, and other variables to represent the continuous base states, if necessary.

In the given problem, we are working with the continuous base ∣α⟩. To find Ψ(α), we need to express the state ∣ψ⟩= F^∣ϕ⟩ in terms of the base states ∣α⟩. This involves determining the coefficients of the base states that contribute to the state ∣ϕ⟩.

To work on ⟨ϕ∣ψ⟩ in the ∣α⟩ base, we need to evaluate the inner product between ∣ϕ⟩ and ∣ψ⟩. This requires expressing both states in terms of the continuous base ∣α⟩ and performing the integration over α. If necessary, we can use Greek letters such as β, γ, etc., to represent different continuous base states.

By following these steps, we can analyze the given problem and manipulate the expressions in the continuous base ∣α⟩ to obtain the desired results.

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The domain of the function is all real numbers because there are no restrictions on the values of x. Therefore, the overall range of the function is {1} ∪ [3, ∞).

In mathematics, a function is a rule that assigns a unique output value to each input value. A function is typically denoted by a symbol, such as f(x), where f is the name of the function and x is the input variable. The output value of the function is denoted by f(x), which means "the value of the function f at x". A function takes input values from a set called the domain, and produces output values from a set called the range. The domain and range can be any set of numbers, such as the real numbers, integers, or even complex numbers.

Here,

The given function is:

f(x) =

1, x+2, x < -2

2, x²+2x+3, x > -2

To create a table of values, we can choose some values of x and plug them into the function to find the corresponding values of f(x):

x f(x)

-3 -1

-2 -2

-1 4

0 3

1 6

The domain of the function is all real numbers because there are no restrictions on the values of x.

The range of the function depends on the two cases:

For x < -2, the value of f(x) is always 1, so the range of f(x) in this case is {1}.

For x > -2, the value of f(x) is always greater than or equal to 3, so the range of f(x) in this case is [3, ∞).

To graph the function, we can plot the points from the table of values and connect them with lines:

          |

    20 ___|_____

       |   |     \

    15 |          \

       |           \

    10 |            \

       |             \

     5 |              \

       |               \

     0 |----------------\_____________

       -4 -3 -2 -1  0  1  2  3

The graph consists of two parts: a horizontal line at y = 1 for x < -2, and a parabolic curve opening upwards for x > -2. The graph is continuous at x = -2, since both the constant and quadratic functions agree at this point.

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A drop of water is denser than a ping-pong ball.

Usually, water is made of particles that are firmly pressed together. In differentiation, plastic (the material ping pong balls are made of) may be a lightweight fabric and the particles are not as firmly stuffed together.

The thickness of a ping pong ball is 0.0840 g/cm³, though water’s thickness is 997 kg/m³. Subsequently, ping pong balls aren’t about as thick as water and will continuously coast and surface greatly quickly.

The ping pong ball appears to oppose gravity and coast within the air.

Ping-pong balls drift within the water since they are amazingly lightweight, empty, and filled with air. Too, the water’s surface pressure makes it simple for the ping pong ball to drift.

In expansion, water is denser than ping pong balls, making them look for the most noteworthy point of water.

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The sound which we hear when the pig pong ball is bounced on the floor

is 19.48 DB

The repeating of sounds, especially in rhyme, is the form of repetition that most people connect with poetry. Alliteration, assonance, and onomatopoeia are other sound patterns in poetry that give additional meaning in addition to rhyme. Every one of these audio elements has a certain purpose in a poem.

a) \(\sum \ log(n)\)

by expanding the series for each value of n is

log (1) + log (2) + log(3) + log (4) + ......... + log ( 96)

simplify the expanded form we get

0 + 0.3010 + 0.4771+0.6020 ......................... + 1.982

=> 149.9963

b) \(\sum_{n=0}\) to infinity \(\sqrt{0.9^n}\)

formula for the sum of number in geometric progression

is  a/1-r

to find the ratio of the successive terms

plugging into the formula

r = \(\frac{a_{n+1}}{a_n}\)

r = \(\frac{\sqrt{0.9^{n+1}} }{\sqrt{0.9^n} }\)

=> r = \(\frac{\sqrt{0.9^n \times 0.9} }{\sqrt{0.9^n} .1}\)

=> r = \(\frac{\sqrt{0.9} }{1}\)

=> r = \(\sqrt{0.9}\)

=> a = \(\sqrt{0.9^0}\)

=> a = \(\sqrt{1}\)

=>  a= 1

by applying the formula having the value a =1 is

\(\frac{1}{1-\sqrt{0.9} }\)

rationalize the denominator by multiplying with \(1+\sqrt{0.9}\)

=> \(\frac{1+\sqrt{0.9} }{(1-\sqrt{0.9} ) (1+\sqrt{0.9}) }\)

=> 19.4868

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Answer:

A=1,2,3

B=x^2 is the answer

Answer:

1038

Step-by-step explanation:

you add 308 and 730

Answer:

a).

\( \sin(2x) = \frac{1}{2 \sqrt{2} } \\ \\ 2x = { \sin }^{ - 1} ( \frac{1}{2 \sqrt{2} } ) \\ \\ 2x = 45 \degree\)

since sine is in the 2nd quadrant, other angle = 180° - x:

\(2x = 45 \degree, \: 135 \degree\)

we must make two rotations since it's a double angle:

\(2x = 45 \degree, \: 135\degree, \: 225\degree, \: 315\degree, \: 495\degree, \: 675\degree \\ \)

divide each angle by 2:

\(x = 22.5\degree, \: 67.5\degree, \: 112.5\degree, \: 157.5\degree, \: 247.5\degree, \: 337.5\degree \\ \)

Answer = {x: x = 22.5°, 67.5°, 112.5°, 157.5°, 247.5, 337.5°}

b).

\( \sin(3z) = - 0.42 \\ 3z = { \sin }^{ - 1} ( - 0.42) \)

since ans is negative, we take the quadrants of cosine and tangent:

\(3z = 204.8\degree, \: 335.2\degree \)

we make three rotations:

\(3z = 384.8\degree, \: 515.2\degree, \: 695.2\degree, \: 875.2\degree, \: 1055.2\degree, \\ \)

answer is {z : z = 128.3°, 171.7°, 231.7°, 291.7°, 351.7°}

Answer:

I'm pretty sure the answer is B

Step-by-step explanation:

sorry if I'm wrong

Answer:

v=13

Step-by-step explanation:

3(13) = 39+11 = 50

Answer:

Our main goal is to isolate the variable here (v).

And if we want to solve this equation,

we must utilize inverse operations.

Given that:-

3v + 11 = 50

We always first get rid of the constants.

And in this case, 11 is our constant.

So the inverse operation of addition is subtraction (because 11 is being added)

-11        -11

3v = 39

Now, we are left with a co-efficient.

To isolate v, we must apply the inverse operation of multiplication which is division (because 3 and 'v' are being multiplied).

/3     /3

V = 13

Answer:

10

Step-by-step explanation:

The slope of a graph is the same as the constant of proportionality of the equation.

slope= rise/run= 60/6=10

The number of litres (Volume) of oil that is present in the tank of given dimension is calculated to be 806 litres (approximately).

The volume of any cylinder can be calculated using the formula,

V = πr²h

(Here V is the volume, r is the radius of the base, and h is the height of the cylinder)

As, the cylinder is one-fifth full of oil, which means that it is four-fifths empty. Therefore, the volume of oil in the tank is:

Volume of oil = (1/5) x Total Volume

Substituting the given values, we have:

Total Volume =  π(80cm)²(200cm) = 4,031,240 cm³

Volume of oil = (1/5) x 4,031,240 cm³ = 806,248 cm³

Converting cm³ to litres, we have:

1 litre = 1000 cm³

Volume of oil = 806,248 cm³ ÷ 1000 = 806.248 litres

Therefore, after rounding of the final volume (806.248 litres) to the nearest litre, the final answer is found to be 806 litres of oil.

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The answers are:

\((a) \( \vec{a} \times \vec{b} = 7.0 \vec{i} + 42.0 \hat{j} - 43.0 \hat{k} \)(b) \( \vec{a} \cdot \vec{b} = 46.56 \)(c) \( (\vec{a}+\\)

\((a) To find the cross product of vectors \( \vec{a} \) and \( \vec{b} \), we can use the formula:\[ \vec{a} \times \vec{b} = (a_yb_z - a_zb_y) \vec{i} + (a_zb_x - a_xb_z) \hat{j} + (a_xb_y - a_yb_x) \hat{k} \]Substituting the values:\[ \vec{a} \times \vec{b} = (5.0 \cdot 1.4 - 8.6 \cdot 0) \vec{i} + (8.6 \cdot 5.0 - 4.6 \cdot 1.4) \hat{j} + (4.6 \cdot 0 - 5.0 \cdot 8.6) \hat{k} \]Simplifying the expression, we get:\[ \vec{a} \times \vec{b} = 7.0 \vec{i} + 42.0 \hat{j} - 43.0 \hat{k} \]\)

\((b) To find the dot product of vectors \( \vec{a} \) and \( \vec{b} \), we can use the formula:\[ \vec{a} \cdot \vec{b} = a_xb_x + a_yb_y + a_zb_z \]Substituting the values:\[ \vec{a} \cdot \vec{b} = (4.6 \cdot 8.6) + (5.0 \cdot 1.4) + (0 \cdot 0) \]Simplifying the expression, we get:\[ \vec{a} \cdot \vec{b} = 39.56 + 7.0 + 0 \]\[ \vec{a} \cdot \vec{b} = 46.56 \]\)

\((c) To find the dot product of \( (\vec{a}+\vec{b}) \) and \( (\vec{a}+\vec{b}) \), we can use the same formula as in part (b).Substituting the values:\[ (\vec{a}+\vec{b}) \cdot (\vec{a}+\vec{b}) = (4.6+8.6) \cdot (4.6+8.6) + (5.0+1.4) \cdot (5.0+1.4) + (0+0) \cdot (0+0) \]\)

\(Simplifying the expression, we get:\[ (\vec{a}+\vec{b}) \cdot (\vec{a}+\vec{b}) = 13.2 \cdot 13.2 + 6.4 \cdot 6.4 + 0 \]\[ (\vec{a}+\vec{b}) \cdot (\vec{a}+\vec{b}) = 174.24 + 40.96 + 0 \]\[ (\vec{a}+\vec{b}) \cdot (\vec{a}+\vec{b}) = 215.2 \]Therefore, the results are:(a) \( \vec{a} \times \vec{b} = 7.0 \vec{i} + 42.0 \hat{j} - 43.0 \hat{k} \)(b) \( \vec{a} \cdot \vec{b} = 46.56 \)(c) \( (\vec{a}+\\)

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Answer:

Step-by-step explanation:

-12x - 5y = 40

 12x - 66y = 528

-71y = 568

y = -8

2x + 88 = 88

2x = 0

x = 0

(0, -8)

Abilities and altitudes are two individual differences that are generally reliable indicators of the likelihood of system error.

The ability of an individual to effectively use a system is a reliable indicator of the likelihood of system errors. People who are less experienced and less knowledgeable about the system are more likely to make mistakes, which can lead to system errors.

In addition, an individual's attitude towards the system can also have an effect. People who are more anxious or frustrated while using the system may make more errors due to a lack of concentration or incorrect assumptions.

Finally, an individual's susceptibility to stress can also play a role in how likely they are to make mistakes while using the system as stress can lead to a lack of focus and poor decision-making. Knowing these two human individual differences can help to predict the likelihood of system errors and help to reduce the risk of them occurring.

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The linear equation to represent the value of the car in terms of the year will be c = 64000 - 5000y

An equation simply has to do with the statement that illustrates the variables given. In this case, it is vital to note that two or more components are considered in order to be able to describe the scenario.

In this situation, the upfront cost of a Porsche is 64K and at the end of 12 Years, the car is worth only $4000.

The difference in amount will be:

= $64000 - $4000

= $60000

Number of years = 12

Amount in depreciation per year = $60000 / 12

= $5000 per year

The linear equation to represent the value of the car in terms of the year will be:

c = 64000 - 5000y

where c = value

y = number of years

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Given :

A = 25000

P = 20000

r % = 9.6 % = 0.096

n = 12

To Find :

The time taken say t.

Solution :

We know, compound interest is given by :

\(A=P(1+\dfrac{r}{n})^{n.t}\)

Taking log both sides :

\(A=P(1+\dfrac{r}{n})^{n.t}\\\\log\ \dfrac{A}{P}= n.t\times log( 1+\dfrac{r}{n})\\\\t =\dfrac{1}{n}\times \dfrac{log\ \dfrac{A}{P}}{log(1+\dfrac{r}{n})}\\\\\\t=\dfrac{1}{12}\times \dfrac{log\ \dfrac{25000}{20000}}{log(1+\dfrac{0.096}{12})}\\\\\\t=2.33\ years\)

Hence, this is the required solution.

Answer:

not so sure but thinks is 13

The derivatives of the six trigonometric functions are: d/dx(sin(x)) = cos(x), d/dx(cos(x)) = -sin(x), d/dx(tan(x)) = sec² (x), d/dx(csc(x)) = -csc(x)cot(x), d/dx(sec(x)) = sec(x)tan(x), d/dx(cot(x)) = -csc²(x).

The six trigonometric functions are sine, cosine, tangent, cosecant, secant, and cotangent. Each of these functions have their own corresponding derivative. The derivatives of these trigonometric functions are as follows:

It's important to note that these derivatives are based on the chain rule and product rule in Calculus, it's also important to understand the trigonometric identities and their reciprocal in order to understand and apply these derivatives.

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Those two have both two formulas but when dealing with a not-right triangle which is a particular case you use this formula for sines.

\(\frac{SinC}{c} =\frac{SinR}{r}\)

Substitute

Note: the capital letters are for the angles and the small letter are for the sides.

But since we used side R and there is no angle to substitute. you will basically have to find it by adding the two angles given and subtracting it by 180, which is a 100.

\(\frac{Sin(7)}{1.9} =\frac{Sin100}{x}\)

now you do the butterfly method or cross multiplication method.

\(xsin(7)=1.9sin(100)\)

You have to isolate the x

\(\frac{xsin(7)}{sin(7)} =\frac{1.9sin(100)}{sin(7)}\)

now cancel and plug the right side of the equation into your calculator and u get the answer for the missing side.

\(x= 15.35\) or if u want to round it \(15.4\)

<R = 100 and side CK= 15.35 or 15.4

Hope I helped! ^w^

TheOneAndOnlyLara~

Answer: 20

Step-by-step explanation:

The quadratic equation y = 6x²+ 19x -20 has the same standard form as Ax+By +C = 0.

what is quadratic equation ?

A quadratic polynomial in an independent condition is represented by the expression x ax²+bx+c=0. a 0. Since this equation is of second order, the Fundamental Theory of Algebra requires that it has at best one solution. There can be both simple and complex solutions.

A quadratic equation is just that—quadratic. This indicates that which has at least yet another word that has to be squared. One of the often cited solutions for differential calculus is "ax² + bx + c = 0." where X is an undefined parameter and a, b, and c are mathematical coefficients or constants.

y=(6x-5)(x+4)

y = 6x² - 5x + 24x - 20

y = 6x² + 19x -20

The quadratic equation y = 6x² + 19x -20 has the same standard form as Ax+By +C = 0.

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