Which equation has no solution?
1. X-31 = 5
2. 2x– 1] = 0
3. 15-3x = -8
4. Fx + 9 = 0

Answer:

m = -20

Step-by-step explanation:

7m - 4 - 9m - 36 = 0

Combine like terms

-2m -40 = 0

Add 40 to each side to isolate the variable

-2m  -40+ 40 = 0+40

-2m = 40

Divide each side by -2

-2m/-2 = 40/-2

m = -20

The interval estimate for an average value of y in a linear regression model is narrower compared to the confidence interval estimate for a particular value of y. Therefore, the correct answer is (a) narrower.

In a linear regression model, the confidence interval estimate for a particular value of y represents the range of values within which we expect the true value of y to fall with a certain level of confidence. This interval is based on the variability of the data and the uncertainty in the estimation.

On the other hand, the interval estimate for an average value of y considers the average of multiple y values. Since the average is based on a larger sample size, it reduces the variability and uncertainty compared to estimating a single value. As a result, the interval estimate for the average value of y is narrower.

The larger sample size used to estimate the average value of y allows for a more precise estimate, resulting in a narrower interval.

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The term that is not affected the standard error of an estimator is population size, from the provide data in options. So, option (c) is right one.

The standard error is a statistical term that used to measured the accuracy that a sample distribution represents a population by using standard deviation. The standard error(SE) is very similar to standard deviation of a distribution. Both are used to measure the spread of distribution. Higher the value SE, the more spread out your data is. In statistical way, standard error is also called standard error of mean, SEM, it represents the deviation of sample mean deviates from the actual mean of a population.

It is calculated simply by dividing the standard deviation by the square root of the sample size. That is \(SE = \frac{σ }{\sqrt{n}}\)

where , n --> sample size

σ --> population standard deviations

Now, from the above formula it is clearly seen that standard error term or an estimator affected by sample size (n) and population standard deviations ( σ). So, right choice for answer is population size.

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Complete question:

standard error of an estimator is not affected by the multiple choice question.

a) population standard deviation

b) sample size

c) population size

True. Since the square matrix that represents the DCT coefficient is an orthogonal matrix, its inverse and transpose are the same. This property is a fundamental characteristic of orthogonal matrices and holds true for all orthogonal matrices.

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False While it is true that the square matrix that represents the DCT coefficient is orthogonal, it does not mean that its inverse and transpose are the same.

the inverse of an orthogonal matrix is its transpose. However, the transpose of the matrix does not necessarily mean that it is the same as the inverse of the matrix. In the statement is false because the inverse and transpose of an orthogonal matrix are not always the same.


The Discrete Cosine Transform (DCT) coefficient matrix is an orthogonal matrix. In the case of orthogonal matrices, the inverse matrix is indeed equal to the transpose of the original matrix. This is because the product of an orthogonal matrix and its transpose results in the identity matrix.

Since the square matrix representing the DCT coefficient is an orthogonal matrix, its inverse and transpose are the same.

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According to the question the method of undetermined coefficients to find a particular solution is The particular solution to the given system is

\(\(x_p = -2 e^{kt}\)\) , \(\(y_p = e^{kt}\)\).

To apply the method of undetermined coefficients, we assume a particular solution of the form:

\(\(x_p = A e^{kt}\)\\\(y_p = B e^{kt}\)\)

where \(\(A\) and \(B\)\) are undetermined coefficients to be determined and \(\(k\)\) is a constant.

Differentiating the assumed forms of \(\(x_p\) and \(y_p\):\)

\(\(x'_p = Ak e^{kt}\)\\\(y'_p = Bk e^{kt}\)\)

Substituting these into the given system of equations:

\(\(Ak e^{kt} = 7(A e^{kt}) - 10(B e^{kt}) + 12\)\\\(Bk e^{kt} = 2(A e^{kt}) - 5(B e^{kt}) - 4e^{-3t}\)\)

Simplifying the equations:

\(\((Ak - 7A + 10B) e^{kt} = 12\)\)

\(\((Ak - 2A + 5B) e^{kt} = -4e^{-3t}\)\)

Since these equations must hold for all \(\(t\)\), the coefficients multiplying \(\(e^{kt}\)\) must be equal to 0:

\(\(Ak - 7A + 10B = 12\)\)

\(\(Ak - 2A + 5B = 0\)\)

Solving these equations for \(\(A\) and \(B\):\)

\(\(A = -2\)\)

\(\(B = 1\)\)

Therefore, the particular solution to the given system is \(\(x_p = -2 e^{kt}\)\) , \(\(y_p = e^{kt}\)\).

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Answer:

No, the pool will not fit.

Step-by-step explanation:

Radius of pool: 3.14 r^2= 379.94

Divide by 3.14: r^2= 121

Square root both sides: r=11

11>10, thus the pool won't fit.

Answer:

Below.

Step-by-step explanation:

Use the formula

Area  = 1/2 ab sin C    where a and b are the given lengths of 2 sides and < C is the angle between them.

If you are not given the value of < C  you can calculate it from the other 2 known angles.

The interior angle of a regular octagon is 135 degrees.

An octagon is a polygon that has 8 sides. Therefore, a regular octagon is a octagon with all it sides and angles equal to each other.

Therefore, the sum of angles in an octagon is each interior angle multiply by the number of sides.

Therefore,

n = number of sides = 8

Hence,

interior angle = (n - 2)180 / n

interior angle = (8 - 2)180 / 8

interior angle = 6 × 180 / 8

interior angle = 1080 / 8 = 135°

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Answer:

9

Step-by-step explanation

First you multiply 3 five times, then you multiply 3 seven times and you divide the results of each multiplication

Answer:

0.111111111111111

Step-by-step explanation:

=> 3⁵÷3⁷

Note 3⁵ means multiplying 3 five times

And 3⁷ means multiplying 3 7 times

=> 3×3×3×3×3÷3×3×3×3×3×3×3

multiply the values and then divide

=> 243÷2,187

divide 243 by 2187

=> 0.111111111111111

Answer:

(2, -3)

Step-by-step explanation:

the intersection point is the solution.

Answer:

2,-3

Step-by-step explanation:

Because the other guy said so

Answer:

11.74m

Step-by-step explanation:

138 = a*a

a = √138 = 11.74m

Answer:

11.74m

Step-by-step explanation:

138 = a*a

a = √138 = 11.74m

Answer:

2334

Step-by-step explanation:

Answer:

5 lol

Step-by-step explanation:

Answer:

5 im so smart :)

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

11am-2pm

the graph stays the same and constant

Answer:

Neither

Step-by-step explanation:

Rewrite the equation in the form slope intercept

2x - 9 = 3y

y = (2/3)x - 9/2

so the slope is 2/3

for the second equation

4x - 15 = 5y

y = (4/5)x - 15/4

so the gradient is 4/5

since the slip of the lines are neither parallel nor perpendicular to each other.

so the answer is neither.

Answer: A: y= 3x + 3

Step-by-step explanation:

The y intercept has to be 3 which is found when x = 0 that eliminates B and C. Then just plug in -1 or 1 into A or D and you will find that plugging in either with get you the y value provided on A.

Let's take this problem step-by-step:

Let's convert the equation back into the standard form:

     ⇒ standard form: (x-h)² +(y-k)² = r²

       \(x^2+y^2-8x+10y + 37 = 0\\\rm \hookrightarrow x^2 - 8x + y^2+10y = -37\\\rm \hookrightarrow (x^2 - 8x) + (y^2 + 10y) = -37\\\rm \hookrightarrow (x^2-8x+16) + (y^2+10y+25) = -37 + 16 +25\\\rm \hookrightarrow (x-4)^2 + (y+5)^2 = 4\\\rm \hookrightarrow (x-4)^2 + (y+5)^2 = 2^2\)

Based on the equation found

  ⇒ center: (4, -5)

   ⇒ radius: 2

Answer:

Hope that helps!

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The solution to the given system of linear equations is x = -4, y = -10

From the question, we are to solve the given system of linear equations.

The given system of linear equations is

y = 2x - 2          ------------ (1)

-4x - y = 26     ------------ (2)

Substitute equation (1) into equation (2)

-4x - y = 26

-4x - (2x - 2) = 26

- 4x - 2x + 2 = 26

-6x + 2 = 26

-6x = 26 - 2

-6x = 24

x = 24/-6

x = -4

Substitute the value x into equation (1)

y = 2(-4) - 2

y = -8 - 2

y = -10

Hence, the x = -4, and y = -10

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The domain of discourse is the integers is smaller integer

What is Integer?

A zero, a positive natural number, or a negative integer with a minus sign is an integer. The negative numbers are the additive inverses of their positive counterparts.

1.(a) ∃x∀y(y > x)

The statement is False

it is impossible to find a single integer x that has the property that all integer y are bigger that it. for any integer x, the integer y =x-1 is smaller

(b) ∀y∃x(y > x)

the statement is true for every integer y, we can find a integer x that is smaller, for example x=y-1

(c) ∃x(x = 0 → x = 1)

The statement is True

there exist x such that (x = 0, x=1). in this statement when we select x =1. this statement is true  regardless of x not equal to 0 therefore this statement is true if x=1 when x=1

2. (a) ∀x∃y(2 < x ≤ y)

we know

∀xP(x)=∃y(P(x))

∃xP(x)=∃y(P(x))

now apply de morgan law

∃x∀(y)=2>x v x>y

(b) ∀y∃x(y > 0 → x ≤ 0)

we know that A-B = A V B

∀y∃x (Y<0 V X< 0)

∀y∃x (Y<0 : X< 0)

3.(a) Given : All people weigh at least 100 pounds.

The negation is : Some people weigh less than 100 pounds. ( All negates to some, at least negates to less than )

(b) The statement is : Somebody did not see any animals in the zoo.

Equivalently : Somebody see no animals in the zoo.

Negation : Everybody saw some animals in the zoo. ( Somebody negates to everybody, No animals negates to some animals )

4. P(x,y): x is friends with y.

Then the given translates to " For all x there is a person y and a person z such that if y and z are not the same people that x and y are friends and x and z are friends."

The given statement is False. For every person x, we can always find two distinct persons y and z such that x is friends with y and y is friends with z. But, we reach a contradiction when we consider the case when x has only one friend. Then for that particular person x, we can find a person y such that P(x,y) but we cannot find a person z such that P(x,z). Hence, in that case, the statement is FALSE.

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Answer:

x = 14

Step-by-step explanation:

Assuming the triangles are similar then the corresponding sides are in proportion, that is

\(\frac{15}{x-4}\) = \(\frac{12}{8}\) = \(\frac{3}{2}\) ( cross- multiply )

3(x - 4) = 30 ( divide both sides by 3 )

x - 4 = 10 ( add 4 to both sides )

x = 14

This question is about probability. The answer for this question is 34,09%.

Suppose there was survey that state that the number of hours spent per week on house hold course of adult has mean 26,3 and standard deviatiador 7,4 and, sample are 46.

First, we need to know the base formula for probability given a mean and standard deviation.

First we need to know the z-score with this formula:

z-score =( x -μ )/ δ

Where:

X = individual data

μ = population mean

δ = population standard deviation.

But in this case, we were asked about the probabilty mean of 46 people. Then, we can use this formula :

Z-score =(x- μ) / (δ /√n)

Where :

X = sample mean

μ = population mean

δ = population standard deviation

Then we can find the z-score in z-table value.

Given :

X = 26,75

μ = 26,3

δ = 7,4

n = 46

Question :

Probability mean more than 26,75

Answer :

Z-score = (x- μ) / (δ /√n)

Z-score = (26,75 - 26,3)/ (7,4/√46)

Z-score = (0,45)/ (1,09)

Z-score = 0,4128

if we look in z-score table, we get number 0,6591.The probability that the mean hours spent per week on household chores by a sample of 46 adults will be more than 26.75 is 1 substract by the value of z-score ,

So, the probability mean for working adult more than 26,75 is 1 - 0,6591 = 0,3409 = 34,09%

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Answer:

Patty's Printing costs $20 less than Guy's Graphix for 20 jersey's.

Step-by-step explanation:

1st. Find the total cost of Guy's Graphix:(7.50*20)+30=$180

2nd. Find the total cost of Patty's Printing:(5.50*20)+50=$160

3rd. Subtract to confirm answer:180-160=$20

Alyssa and Caleb ate 5/6 of the nachos together.

To calculate the fraction of nachos that Alyssa and Caleb ate together, add the fractions representing the portions that they each ate. However, because the fractions have different denominators, we must first find a common denominator.

2 and 3 share a common denominator of 6. With a denominator of 6, we can rewrite 1/2 and 1/3 as follows:

1/2 = 3/6

1/3 = 2/6

We can now add these fractions:

3/6 + 2/6 = 5/6

As a result, Alyssa and Caleb shared 5/6 of the nachos.

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Answer:

$1015.11

Step-by-step explanation:

Compounded interest rate formula: A = P(1 + r/n)^t

Step 1: Plug in known variables

A = 1000(1 + 0.005/12)^36

Step 2: Multiply it all together

1000(1.00042)^36

1000(1.01511)

1015.11

This is a pretty bad bank considering only giving you .5% interest per month.

Answer:

17

Step-by-step explanation:

If Rin pulls out 1 blue marble from the bag then total marbles left in the bag now= 18 − 1 = 17

Now Misaki pulls out a marble: Probability of red marble= 3/17

probability of blue marble= 4/17

Answer:17

Step-by-step explanation:

The orbit type of the Molniya 1-91 satellite is Molniya orbit, characterized by a highly eccentric orbit inclined at an angle of 63.17 degrees to the Earth's equator. The orbital parameters, namely the semi-major axis (a) and the argument of perigee (ω), are required to determine the satellite's position and velocity vectors.

a) The Molniya 1-91 satellite follows a Molniya orbit, which is a type of highly eccentric orbit designed to provide extended dwell time over high latitudes. This orbit is characterized by a high inclination angle of 63.17 degrees with respect to the Earth's equator. Molniya orbits are commonly used for communication satellites that serve polar regions, as they spend a significant portion of their orbit over these areas.

b) To determine the orbital parameters of the Molniya 1-91 satellite, we need to extract the relevant information from the two-line element set. The semi-major axis (a) is not directly provided in the given data. However, we can calculate it using Kepler's third law and the mean motion (n) derived from the second line of the TLE. The argument of perigee (ω) is given as 281.6462 degrees in the TLE. These parameters, along with other orbital elements, are crucial for describing the satellite's orbit.

c) To calculate the position and velocity vectors of the Molniya 1-91 satellite in the geocentric equatorial coordinate frame, we need additional information. The TLE only provides elements related to the orbit's shape and orientation, not the satellite's current position and velocity. Position and velocity vectors can be determined by solving the equations of motion using the orbital parameters and mathematical models of celestial mechanics. However, without up-to-date information on the satellite's time and date, it is not possible to calculate these vectors accurately.

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The solution is, 52 ft is the perimeter of the base of the pyramid.

Here, we have,

Given that:

We have an pyramid with square base.

Area of base of the square pyramid = 169

To find:

Perimeter of the base of pyramid = ?

Solution:

First of all, let us have a look at the formula of area of a square shape.

Area = side * side

Let the side be equal to  ft.

Putting the given values in the formula:

169 = a^2

so, a = 13 ft

Now, let us have a look at the formula for perimeter of square.

Perimeter of a square shape = 4  Side

Perimeter = 4 * 13 = 52ft

The solution is, 52 ft is the perimeter of the base of the pyramid.

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complete question:

A pyramid has a square base with an area of 169 ft2. What is the perimeter of the base of the pyramid? A pyramid has a square base with an area of 169 ft2. What is the perimeter of the base of the pyramid?

The domain of the given function g(x) = (x - 1)² is (−∞,∞), {x|x∈R} which is shown in the graph and is defined by the set of values x.

The domain of the function includes all possible x values of a function, and the range includes all possible y values of the function.

We have been given the function below as

g(x) = (x - 1)²

We have to determine the domain of the given function.

The domain of the function shown in the graph is given by the set of values x that has a point on the graph.

As per the given graph, the range is the set of values that correspond with the domain.

Domain: (−∞,∞), {x|x∈R}

and the function shows that values of x are real numbers.

Thus, the required domain of the given function is (−∞,∞), {x|x∈R}

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