1.
Round 8,274 to the nearest thousand.
8,000
8,270
9,000
8,300

Answer: 1/10 is literally only one out of 10. the fraction to a decimal is 0.1 so, 3 x 0.1 is 0.3 and 3 x 10 is 30.

0.3 is less than 30.

Step-by-step explanation:

Answer:

x = 62

Step-by-step explanation:

x and 118 form a linear pair (added up, they both equal 180 degrees)

So, 180-118 = 62 which is the measurement of x

This is the random sampling is used in the statement.

According to the statement

We have to find that the about the sampling.

So, For this purpose, we know that the

A sample is an outcome of a random experiment. once we sample a chance variable, we obtain one specific value out of the set of its possible values. that exact value is termed a sample.

From the given information:

if she chooses a sample of the population that offers everyone an equal chance of participating, this might be a(n) sample.

Then

According to this, there is random sampling is used.

Random sampling is a part of the sampling technique in which each sample has an equal probability of being chosen.

So, This is the random sampling is used in the statement.

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Answer:

Step-by-step explanation:

To solve the given equation \(\sf x - y = 4 \\\), we can perform the following calculations:

a) To find the value of \(\sf 3(x - y) \\\):

\(\sf 3(x - y) = 3 \cdot 4 = 12 \\\)

b) To find the value of \(\sf 6x - 6y \\\):

\(\sf 6x - 6y = 6(x - y) = 6 \cdot 4 = 24 \\\)

c) To find the value of \(\sf y - x \\\):

\(\sf y - x = - (x - y) = -4 \\\)

Therefore:

a) The value of \(\sf 3(x - y) \\\) is 12.

b) The value of \(\sf 6x - 6y \\\) is 24.

c) The value of \(\sf y - x \\\) is -4.

\(\huge{\mathfrak{\colorbox{black}{\textcolor{lime}{I\:hope\:this\:helps\:!\:\:}}}}\)

♥️ \(\large{\underline{\textcolor{red}{\mathcal{SUMIT\:\:ROY\:\:(:\:\:}}}}\)

Answer:

factoring

Step-by-step explanation:

The first decile lift resulting from the logistic regression model can be interpreted as the ratio of the actual positive outcomes in the top 10% of the dataset to the expected positive outcomes based on the model's predictions.

It is a metric used to assess the model's performance in targeting the highest probability instances of a positive class.

To calculate the first decile lift, follow these steps:

Sort the instances in the training data based on the model's predicted probabilities for the positive class.

Divide the data into ten equal groups, each containing 10% of the instances (deciles).

Within the first decile (top 10%), count the number of actual positive outcomes (positive instances).

Calculate the average positive rate across all deciles, i.e., the overall percentage of positive instances in the dataset.

Divide the positive rate in the first decile by the average positive rate.

The resulting value is the first decile lift.

Interpretation:

A first decile lift greater than 1 indicates that the logistic regression model is performing better than random chance in the top 10% of the dataset. It implies that the model is effectively identifying instances with a higher probability of belonging to the positive class in comparison to the overall positive rate in the dataset.

For example, if the first decile lift is 1.5, it means that the model is capturing 1.5 times more actual positive instances in the top 10% compared to what would be expected by random selection. This is valuable information for time-constrained clients, as it helps them prioritize their efforts on the most promising candidates, increasing the efficiency of their dating process.

Keep in mind that decile-wise lift charts provide insights into the model's performance at various thresholds, allowing clients to understand how well the model is targeting high-potential individuals for dating.

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Answer: $38.55

Step-by-step explanation:

Price of super dog dog food = $12.85

We can infer from the question that the bag of Super Dog dog food, costs $12.85, which is one third the price of a bag of Power Dog dog food.

Let the price of the Power Dog dog food.be represented by x. Therefore,

1/3 × x = 12.85

x/3 = 12.85

x = 12.85 × 3

x = 38.55

The price of a bag of Power Dog dog food is $38.55

the slopes would look like this

the partial derivatives are ∂p/∂u = 6 + (∂p/∂z), ∂r/∂u = 1, and ∂θ/∂u = 0 when p=1, r=1, and θ=0.

We have the following equations:

u = \(x^{3}\) + yz,

x = prcos(θ),

y = prsin(θ),

z = p + r.

To find ∂p/∂u, we apply the Chain Rule:

∂p/∂u = (∂p/∂x) × (∂x/∂u) + (∂p/∂y) × (∂y/∂u) + (∂p/∂z) × (∂z/∂u).

Substituting the given equations and evaluating the derivatives at p=1, r=1, and θ=0, we get:

∂p/∂u = (∂p/∂x) × (∂x/∂u) + (∂p/∂y) × (∂y/∂u) + (∂p/∂z) × (∂z/∂u)

= (3\(pr^{2}\)cos(θ)) × (∂x/∂u) + (3\(pr^{2}\)sin(θ)) ×(∂y/∂u) + (∂p/∂z) × (∂z/∂u)

= (3p) × (rcos(θ)) + (3p) × (rsin(θ)) + (∂p/∂z) × 1

= 3p + 3p + (∂p/∂z)  = 6p + (∂p/∂z).

Since p=1, the value of ∂p/∂u is 6(1) + (∂p/∂z).

Similarly, for ∂r/∂u and ∂θ/∂u, we can follow the same process of applying the Chain Rule and substituting the given equations. The resulting values at p=1, r=1, and θ=0 are ∂r/∂u = 1 and ∂θ/∂u = 0.

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The probability that tails appears on the next toss is 0.5

Given,

In the question:

If I toss a fair coin five times and the outcomes are TTTTT,

To find the probability that tails appears on the next toss is.

Now, According to the question:

The possible ordered outcomes are listed as elements in a sample space, which is commonly indicated using set notation.

A sequence of five fair coin flips has a sample space that contains all potential outcomes. \(2^3\) {H, T}  is the sample of a fair coin toss. {HHHHH, HHHHT, HHHTH, HHTHH, HTHHH,...…TTTTT} .

The probability of a tails result on the next flip is always equal to 0.5 It makes no difference if previous outcomes were {TTTTT} , {HHHHH}  or {THTHT} In each of these and all other circumstances, the probability of the next being tails is still 0.5

Hence,  the probability that tails appears on the next toss is 0.5

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Resolviendo una resta, veremos que el número es igual a 12.

Definamos X como nuestro número, sabemos que cuando este número es disminuido en cuatro (es decir, le restamos 4 a nuestro número X) el resultado es 8.

Entonces, lo que tenemos que hacer es resolver la operación:

X - 4 = 8

Para resolver esto, lo que tenemos que hacer es sumar 4 en ambos lados de esta ecuación, asi obtenemos:

X - 4 + 4 = 8 + 4

X = 12

De esta forma, concluimos que nuestro número es igual a 12.

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The odds of picking an ace are 48:4 or 12:1, and the Ratio of unsuccessful outcomes to successful outcomes is 48:4.

The odds against this are 48:4, or 12:1 when simplified, between unsuccessful and successful outcomes. In this way, the chances of choosing an expert are 12:1, and the chances of choosing a pro are 1:12.

we know that a standard deck has 52 cards. In that 52 cards, there are 4 Ace's. Now we have 48 cards.

so the odds of getting ace will be 48:4 or 12:1.

the ratio is the number that can be utilized to communicate one amount as a negligible portion of different ones. The two numbers in a proportion must be looked at when they have a similar unit.

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Explanation:

The graph of y = -3/5x + 9 is a straight line, so to graph the function we need to identify two points of the line.

Then, we can find two points if we give a value to the variable x and calculate the value of y as:

If x = 5 then:

y = (-3/5)x + 9

y = (-3/5)*5 + 9

y = -3 + 9

y = 6

If x = 10 then:

y = (-3/5)*10 + 9

y = -6 + 9

y = 3

Therefore, we have the points (5, 6) and (10, 3), so the graph of the line is:

Answer:

All equation 1-15 are correct.

Step-by-step explanation:

All solutions for problems 1 - 15 are correct.

Great job.

The validity of the solutions to the given equations is, respectively:

Case 1: d = 1 (RIGHT)

Case 2: z = 2 (RIGHT)

Case 3: s = 5 (RIGHT)

Case 4: r = - 4 (RIGHT)

Case 5: p = - 2 (RIGHT)

Case 6: x = - 3 (RIGHT)

Case 7: c = 4 (RIGHT)

Case 8: n = 2 (RIGHT)

Case 9: r = - 16 (RIGHT)

Case 10: b = 3 (RIGHT)

Case 11: m = 4 (RIGHT)

Case 12: t = - 5 (RIGHT)

Case 13: a = 18 (RIGHT)

Case 14: q = - 12 (RIGHT)

Case 15: v = 20 (RIGHT)

In this problem we need to check the validity of a solution in each of the fifteen equations seen in the image. This can be done by algebra properties:

Case 1:

2 · d + 7 = 9

2 · d = 2

d = 1 (RIGHT)

Case 2:

11 = 3 · z + 5

6 = 3 · z

z = 2 (RIGHT)

Case 3:

2 · s - 4 = 6

2 · s = 10

s = 5 (RIGHT)

Case 4:

- 12 = 5 · r + 8

- 20 = 5 · r

r = - 4 (RIGHT)

Case 5:

- 6 · p - 3 = 9

- 6 · p = 12

p = - 2 (RIGHT)

Case 6:

- 14 = 4 · x - 2

- 12 = 4 · x

x = - 3 (RIGHT)

Case 7:

2 · c + 2 = 10

2 · c = 8

c = 4 (RIGHT)

Case 8:

3 + 9 · n = 21

9 · n = 18

n = 2 (RIGHT)

Case 9:

21 = 5 - r

16 = - r

r = - 16 (RIGHT)

Case 10:

8 - 5 · b = - 7

- 5 · b = - 15

b = 3 (RIGHT)

Case 11:

- 10 = 6 - 4 · m

- 16 = - 4 · m

m = 4 (RIGHT)

Case 12:

- 3 · t + 4 = 19

- 3 · t = 15

t = - 5 (RIGHT)

Case 13:

2 + a / 6 = 5

12 + a = 30

a = 18 (RIGHT)

Case 14:

- (1 / 3) · q - 7 = - 3

q + 21 = 9

q = - 12 (RIGHT)

Case 15:

4 - v / 5 = 0

4 = v / 5

v = 20 (RIGHT)

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The t function f(x)  is given by a formula, and A(x) = f(t) dt = 1/8, and f(t) = 1 + 2t.

We are required to evaluate A(2).First, we need to substitute f(t) in A(x) = f(t) dt to obtain A(x) = ∫f(t) dt.So, A(x) = ∫(1 + 2t) dtUsing the power rule of integrals, we getA(x) = t + t² + C, where C is the constant of integration.But we know that A(x) = f(t) dt = 1/8Hence, 1/8 = t + t² + C (1)We need to find the value of C using the given condition f(0) = 1.In this case, t = 0 and f(t) = 1 + 2tSo, f(0) = 1 + 2(0) = 1Substituting t = 0 and f(0) = 1 in equation (1), we get1/8 = 0 + 0 + C1/8 = CNow, substituting C = 1/8 in equation (1), we get1/8 = t + t² + 1/81/8 - 1/8 = t + t²t² + t - 1/8 = 0We need to find the value of t when x = 2.Now, A(x) = f(t) dt = 1/8A(2) = f(t) dt = ∫f(t) dt from 0 to 2We can obtain A(2) by using the fundamental theorem of calculus.A(2) = F(2) - F(0), where F(x) = t + t² + C = t + t² + 1/8Therefore, A(2) = F(2) - F(0) = (2 + 2² + 1/8) - (0 + 0² + 1/8) = 2 + 1/2 = 5/2Hence, the value of A(2) is 5/2.

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Answer:

24%

Step-by-step explanation:

if you put it in this format: 1.2/5 and cross multiply by x/100 you get this answer.

are you trying to find the answer or..? because it's -4

Answer:Its B. and D.

Step-by-step explanation:

Answer:

heyyyyyyyyyyyyyyy

Step-by-step explanation:

It is requred to test the exactness of the given ODE and then find its general solution. Then, if the given ODE is not exact, an integrating factor must be used to make it exact.

This given ODE is:(2xy - 2y²e^(3x))dx + (x² - 2ye^(2x))dy = 0.To verify the exactness of the given ODE, we determine whether or not ∂Q/∂x = ∂P/∂y, where P and Q are the coefficients of dx and dy respectively, as follows: P = 2xy - 2y²e^(3x) and Q = x² - 2ye^(2x).Then, we have ∂P/∂y = 2x - 4ye^(3x) and ∂Q/∂x = 2x - 4ye^(2x).Thus, since ∂Q/∂x = ∂P/∂y, the given ODE is exact.To solve the given ODE, we have to find a function F(x,y) that satisfies the equation Mdx + Ndy = 0, where M and N are the coefficients of dx and dy respectively. This is accomplished by integrating both P and Q with respect to their respective variables. We have:∫Pdx = ∫(2xy - 2y²e^(3x))dx = x²y - y²e^(3x) + g(y), where g(y) is a function of y. We differentiate both sides of this equation with respect to y, set it equal to Q, and then solve for g(y). We have:(d/dy)(x²y - y²e^(3x) + g(y)) = x² - 2ye^(2x)Thus, g'(y) = 0 and g(y) = C, where C is a constant.Substituting the value of g(y) in the equation above, we get:x²y - y²e^(3x) + C = 0, as the general solution.The given ODE is exact, so we can solve it by finding a function that satisfies the equation Mdx + Ndy = 0. After integrating both P and Q with respect to their respective variables, we find that the general solution of the given ODE is x²y - y²e^(3x) + C = 0.

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Answer:

x < - 8.5

Step-by-step explanation:

Given

- 46 - 8x > 22 ( add 46 to both sides )

- 8x > 68

Divide both sides by - 8, reversing the symbol as a result of dividing by a negative quantity

x < - \(\frac{68}{8}\) , that is

x < - 8.5

Answer:

x < - 8.5

I hope this helps

The weight of an object is given by the formula weight = mass * gravity, where gravity is approximately 9.8 m/\(s^2\). So, in this case, the weight of the object is 10 kg * 9.8 m/\(s^2\) = 98 N.

Since the displacement of the object from its equilibrium position is 9.8 cm = 0.098 m, we can set up the equation:

98 N = K * 0.098 m

Solving for K, we find:

K = 98 N / 0.098 m = 1000 N/m

Now, let's formulate the initial value problem for y(t). The displacement of the object from its equilibrium position is denoted by y(t), and we need to find the equation involving y(t), its first derivative y'(t), its second derivative y''(t), and time t.

Using Newton's second law, the sum of the forces acting on the object is equal to the mass of the object times its acceleration. The forces acting on the object are the force exerted by the spring, given by -K * y(t), and the force F(t) given in the problem. So, we have:

m * y''(t) = -K * y(t) + F(t)

Substituting the values for m and K, we have:

10 kg * y''(t) = -1000 N/m * y(t) + 70 N * cos(8t)

This is the initial value problem for y(t).

To solve the initial value problem for y(t), we need to find the equation of motion for y(t). This is a second-order linear non-homogeneous differential equation. The general solution to this type of equation is a sum of the complementary solution (the solution to the homogeneous equation) and a particular solution (any solution that satisfies the non-homogeneous part).

The complementary solution is found by setting F(t) to zero:

10 kg * y''(t) = -1000 N/m * y(t)

The characteristic equation for this homogeneous equation is:

10\(r^2\) + 1000 = 0

Solving for r, we find r = ±sqrt(-100) = ±10i

So, the complementary solution is:

y_c(t) = c1 * cos(10t) + c2 * sin(10t)

Now, we need to find a particular solution. In this case, since F(t) is of the form A * cos(8t), a particular solution can be assumed to be of the form:

y_p(t) = A * cos(8t)

Substituting this into the differential equation, we get:

-1000 N/m * (A * cos(8t)) = 70 N * cos(8t)

Simplifying, we find A = -0.07 m.

Therefore, the particular solution is:

y_p(t) = -0.07 * cos(8t)

The general solution is the sum of the complementary and particular solutions:

y(t) = y_c(t) + y_p(t)

     = c1 * cos(10t) + c2 * sin(10t) - 0.07 * cos(8t)

To determine the maximum excursion from equilibrium made by the object, we need to find the maximum value of |y(t)|.

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The center of the circle shifted 6 units to the right when it's center is on line x=6.

A circle is a spherical shape without boundaries or edges. A circle is a closed, curved object with two dimensions in geometry. Simply put, a circle is a rounded shape without any edges or line segments. It has the geometric shape of a closed curve. A circle is made up of all points in the same plane that are equidistant from one another. Only the bordering points make up the circle. A circle can be compared to a hula hoop. The circle is only present at the border's points.

Here,

Centre of circle=(-4,3)

-4+6=2

New centre is (2,3).

When the circle's center is on line x=6, its center has moved 6 units to the right.

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The completed statement that described the situation indicated by the graph of the linear system of equations representing Carson and Romeo distance from the shore is presented as follows;

The graph of the system of equations show that Romeo was floating close to Carson and then swam alongside Carson

The system of equations represented on the graph has an infinite number of solutions because the two lines in the system of equations are the same line

A system of linear equations are a set of linear equations that are formed by the same variables, and which work together.

The points on the graph of the equation, obtained from a diagram of a similar question online are; (0, 5), (1, 6), (2, 7), (3, 8), (4, 9) (5, 10)

Therefore, the slope of the equation representing the distance from the shore is, m = (6 - 5)/(1 - 0) = 1

The y-intercept, the point where x = 0, is (0, 5), which indicates that the y-intercept is c = 5

The equation of the line in slope-intercept form, y = m·x + c, therefore is; y = x + 5

Please find attached the graph in the question of the equation created with MS Excel

The details of the question obtained from a similar question on the internet indicate that the graph of the equation of Carson's distances and the graph of the equation of Romeo's distances are the same straight lines.

The y-intercept of the graph represent the location where the Carson and Romeo where initially floating, therefore;

Romeo was floating close to Carson

The coinciding graphs indicates that Carson and Romeo swam side by side

The equations of the distances which are equivalent, indicates that the system of equations has an infinite number of solutions

The reason the system of equations have an infinite number of solutions is because the two lined overlap

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Equation (c) holds true in base 9, while equations (a), (b), and (d) do not hold true in any base number. Equation (e) holds true in any base number as it is an algebraic equation.

To determine the base number in which the given equations are correct, we can systematically test different base numbers until we find one that satisfies all the equations. Let's go through each equation and find the appropriate base number:

(a) 12×4=52:

This equation implies that the base number should be greater than 12, as multiplying 12 by 4 should not result in a number larger than 52. Therefore, this equation cannot hold true in any base number.

(b) 24×17=40:

Similar to the previous equation, this equation indicates that the base number should be greater than 24. However, when we multiply 24 by 17, the result should not be 40 in any base number. Therefore, this equation cannot hold true in any base number either.

(c) 75/3 = 26 (bonus):

For this equation, we need to find a base number in which dividing 75 by 3 equals 26. By testing different base numbers, we find that this equation holds true in base 9. In base 9, 75 (base 10) divided by 3 (base 10) equals 26 (base 10).

(d) 7.3/2 = 3.6 (bonus):

This equation involves decimal numbers. In most standard number systems, including the decimal system, 7.3 divided by 2 does not equal 3.6. Therefore, there is no base number in which this equation holds true.

(e) \((x^2-13x+32=0)\)⇒(x=5,x=4):

This equation represents a quadratic equation. The base number does not affect the solution to this equation since it is an algebraic equation that holds true in any base number.

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Complete Question:

What is the base number in which the following is correct?

(a) 12×4=52

(b) 24×17=40

(c) 75/3 = 26 (bonus)

(d) 7.3/2 = 3.6 (bonus

(e) \((x^2-13x+32=0)\)⇒(x=5,x=4)

Answer:

$18 per ticket

Step-by-step explanation:

you have to find the cost of one ticket so you divide 306 by 17 and you get $18

For constructing a confidence interval for the mean of a Normal population with unknown population standard deviation, taking a larger sample size would reduce the margin of error.

However, if increasing the sample size is not feasible, then using a lower level of confidence can also reduce the margin of error.

This is because a lower level of confidence requires a smaller critical value, resulting in a narrower confidence interval, and thus a smaller margin of error.

Using z-methods instead of t-methods or converting data into categorical values will not necessarily reduce the margin of error.

Hypothesis testing is a statistical method used to determine whether there is enough evidence to reject or fail to reject a null hypothesis (H0).

In this case, the null hypothesis is that the proportion of people who believe that the state of the economy is the country’s most significant concern is equal to 75%.

Since we are testing for a difference in proportion in either direction, the appropriate alternative hypothesis is Ha: p ≠ 0.75.

This is a two-tailed test, which means we are interested in deviations from 75% in both directions.

Option (a) and (b) are incorrect because they only consider one tail of the distribution. Option (c) is incorrect because it tests for a difference only in one direction (greater than).

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¿Cuanto tardara en tocar 10 campanadas?

The remainder of the polynomial using the remainder theorem and factor theorem is 6.

Apply the remainder theorem,

When we divide a polynomial

f(x) by (x − c)

f(x) = (x − c)q(x) + r

f(c) = 0 + r

Here,

f(x)=(x−c)q(x)+rf(c)=0+r

and (x−c) is (x−(−2))

Therefore,

f(−2) = \((-2)^{4} - (-2)^3 - 3(-2)^2 + 4(-2) + 2\)

= 16 + 8 − 12 − 8 + 2

= 6

Hence, the remainder of the polynomial using the remainder theorem is 6.

Whereas using the factor theorem and doing synthetic division, we get,  

x = -2 is a zero of f(x), and x+2 is a factor of f(x). To factor f(x), we divide

the coefficients of the polynomial as follows -

         -2   |   1  -1    -3     4      2

                      -2   6    -6      4

        -----------------------------------------

                    1   -3   3    -2     6

Hence, we get that 6 is the remainder when (\(x^4-x^3-3x^2+4x+2\)) ÷ (x+2), using the factor theorem.

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The complete question is -

Find the remainder using the Remainder Theorem and Factor Theorem using the synthetic division of the given polynomial, \(x^4-x^3-3x^2+4x+2\) ÷ (x+2)

Answer:

2/5

Step-by-step explanation: