suppose each student walk 8 kilometers in the walkathon. how much money does each sponsor donat?
Gilberto
Alana
Leanne
please help
solve for u
5u^2=-3u+2
a. Consider the random variable X for which E(X) = a +b, where a and b are constants and A is a parameter. Show that X-b is an unbiased estimator for A a b. The continuous random variable Z has the pr
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. b) the regression sum of squares divided by the total sum of squares.
The standard error of estimate in a simple linear regression is equal to: a) the square root of the mean squared error.
What is standard Error of Estimate?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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Determine which equation is false based on the solution set.
S:{3}
−28 = 2(4p − 4)
5(b + 3) = 30
7 = 3y − 2
one third times x plus 18 equals 19
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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What is 12 x 12 x 12 x 66
Answer:
Step-by-step explanation:
114048
Answer:
114048
Step-by-step explanation:
What is the equation of this line?
A: y=-2x
B: y = ½x
C: y = -½x
D: y = 2x
Answer:
D
Step-by-step explanation:
when x=1, y should = 2
2(1)=2
so y=2x is correct
Which of the following phrases are equations?
Choose 2 answers:
A
4x^3
(Choice B)
B
b=9
(Choice C)
C
7+19=26
(Choice D)
D
a+9>72
(Choice E)
E
x+y-8/3
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.
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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Take the state of the ∣α⟩ base, with α is continuous: orthogonality: ⟨α ′
∣α⟩=∣N∣ 2
δ(α ′
−α) coherence relation: ∫dα∣α⟩⟨α∣=∣N∣ 2
1
^
, (5) with N any normalization constant ( N does not have to be equal to 1 ). If ∣ψ⟩= F
^
∣ϕ⟩, (a) seek Ψ(α), (b) work on ⟨ϕ∣ψ⟩ in the ∣α⟩ base. If necessary use Greek β,γ,… to state the same continuous base
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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I need the t-table, domain and range, and it graphed
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, ∞).
What is function?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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When you listen to the sound of a bouncing ping-pong ball that has been dropped onto a cement floor, what mathematical pattern do you hear? Explain,
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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I really need help me
find A×B when
Answer:
A=1,2,3
B=x^2 is the answer
0 of 10
The difference of two numbers is 308. The smaller of the numbers is 730. What is
the other number?
Answer:
1038
Step-by-step explanation:
you add 308 and 730
2) Rolling a single die 33 times, keeping track of the numbers that are rolled. A) Not binomial: the trials are not independent. B) Not binomial: there are more than two outcomes for each trial. C) Not binomial: there are too many trials. D) Procedure results in a binomial distribution
1. Determine the set of each of the following equations for 0° ≤ x 360° or 0° ≤ t ≤ 360°
a) sin 2 x°= 1/2√2
2. find all the solution in the interval 0° ≤ z ≤ 360° of the following equation
sin 3 z = - 0,42
Please help Me
SOS
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°}
please help me I need it now
Answer:
I'm pretty sure the answer is B
Step-by-step explanation:
sorry if I'm wrong
3v + 11 = 50 what’s the answer ?
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
13. The graph shows the proportional relationship of the cost of movie tickets. Using the graph, determine the constant of proportionality.
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
A cylindrical tank is one-fifth full of oil. The cylinder has a base radius of 80 cm. The height of the cylinder is 200 cm. 1 litre 1000 cm3 How many litres of oil are in the tank? Round your answer to the nearest litre
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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Two vectors are given by \( \vec{a}=4.6 \vec{i}+5.0 \hat{j} \) and \( \vec{b}=8.6 \hat{i}+1.4 \hat{j} \). Find (a) \( \vec{a} \times \vec{b} \mid,(b) \vec{a} \cdot \vec{b},(c)(\vec{a}+\vec{b}) \cdot \
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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Solve the system of equations.
-12x-5y = 40
2x-11y=88
Answer:
Step-by-step explanation:
-12x - 5y = 40
12x - 66y = 528
-71y = 568
y = -8
2x + 88 = 88
2x = 0
x = 0
(0, -8)
which two individual differences are generally reliable indicators of the likelihood of system error?
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 upfront cost of a Porsche is 64K. At the end of 12 Years, the car is worth only $4000, Write a linear equation to represent the value of the car in terms of the year.
The linear equation to represent the value of the car in terms of the year will be c = 64000 - 5000y
How to illustrate the equation?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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Michael invests USD 20 000 at 9.6% p.a. compounded monthly.
How long will it take for his investment to reach USD 25 000?
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.
Score Frequency
1
a
5
2
4
Mean score= 5
What is a?
Answer:
not so sure but thinks is 13
What are the Derivatives of the 6 Trig Functions?
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:
d/dx(sin(x)) = cos(x)d/dx(cos(x)) = -sin(x)d/dx(tan(x)) = sec^2(x)d/dx(csc(x)) = -csc(x)cot(x)d/dx(sec(x)) = sec(x)tan(x)d/dx(cot(x)) = -csc^2(x)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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How do I solve this using Sin or Cosine law?
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~
triangle XYZ is similar to ABC. what is the length of XY?
Answer: 20
Step-by-step explanation:
y=(6x-5)(x+4) in standard form (Ax+By=C) and please provide steps! ;)
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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