Which equation correctly uses point (–2, –6) to write the equation of this line in point-slope form? Y – 6 = y minus 6 equals StartFraction 5 Over 2 EndFraction left-parenthesis x minus 2 right parenthesis.(x – 2) y – 6 = negative StartFraction 2 Over 5 EndFraction. (x – 2) y + 6 = y plus 6 equals StartFraction 2 Over 5 EndFraction left-parenthesis x plus 2 right parenthesis.(x + 2) y + 6 = y plus 6 equals StartFraction 5 Over 2 EndFraction left-parenthesis x plus 2 right parenthesis.(x + 2)

Answer:

9x - 5 (second option)

Step-by-step explanation:

\((4x - 6) + (5x + 1)\)

\(4x - 6 + (5x + 1) = 4x - 6 + 5x + 1\)

\(4x + 5x = (4 + 5)x = 9x\)

\(9x - 6 + 1 = 9x - 5\)

\( = 9x - 5\)

the answer to this question is -10.

Answer:

-12.9

Step-by-step explanation:

Answer:

1:5

Step-by-step explanation:

He rode one mile in 5 minutes because 4/4 is 1 and 20/4 is 5

By using normal distribution of probability, it can be calculated that

13.59 %of men are between 64 and 66.5 inches tall

What is normal distribution of probability?

Normal distribution of probability is a continuous type probability distribution whose probability density function is given by

f(x) = \(\frac{1}{\sigma \sqrt{2\pi}}e^{-\frac{z^2}{2}}\) where z = \(\frac{x - \mu}{\sigma}\)

\(\mu\) is the mean and \(\sigma\) is the standard deviation.

Here, normal distribution of probability is used

Mean = 69 inches

Standard deviation = 2.5 inches

P(64 < X < 66.5) = P(X <66.5) - P(X < 64)

For X < 64

z = \(\frac{64 - 69}{2.5}\) = -2

P(X < 64) = P(z < -2) = 0.0228

For X < 66.5

z = \(\frac{66.5 - 69}{2.5}\) = -1

P(X < 66.5) = P(z < -1) = 0.1587

P(64 < X < 66.5) = 0.1587 - 0.0228 = 0.1359

13.59 % men are between  64 and 66.5 inches tall

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Answer:

non the avibe

Step-by-step explanation:

xu x6y8z9vtgkxih 174374t6fivH tin s6d

Answer:

1,3, and 4

Step-by-step explanation:

The square root function involves the square root symbol √ which is  mostly read as "square root of", the rule says that the square root of a number 'x' is a number 'y' such that y² = x.

We know that the square root of a number can be either positive or negative, but while defining the square root function, we restrict its range to be the set of all positive real numbers and hence making all square roots possible to be positive.

If the range for the square root of a number is set to be positive as well as negative it wont be a function that is why there is a restriction to the range of this set allowing only positive real numbers.

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Without seeing the algorithm, it is impossible to provide an answer.

The question states that there is a cumulative algorithm using an array and a range-based loop, but the actual algorithm is not provided. Therefore, without knowing what the algorithm is doing or what values are being used, it is impossible to determine what will be printed.

The question is incomplete as it does not provide the cumulative algorithm that is being referred to. Therefore, no answer can be provided without additional information.
That without the specific algorithm and code snippet, I am unable to determine what will be printed. For a proper explanation, please provide the cumulative algorithm using an array and a range-based loop that you mentioned.

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The given situation represents the (B) command economy.

In a planned economy, the production, distribution, and allocation of capital goods all occur in accordance with economic plans that may be economy-wide or specific to a particular class of products and services.

Centralized, decentralized, participative, or Soviet-style economic planning is all possible in a planned economy.

Depending on the precise kind of planning mechanism used, the degree of centralization or decentralization in decision-making and involvement will vary.

Central planning has been utilized in socialist regimes built on the Soviet model, however, some, like the former Socialist Federal Republic of Yugoslavia, have embraced some kind of market socialism.

Therefore, the given situation represents the (B) command economy.

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The approximate probability that the total score is at least 375 when a fair six-sided die is rolled 100 times is (d) 0.4420.

When a fair six-sided die is rolled, the random variable X represents the outcome. The mean (μX) of X is 3.5, and the standard deviation (σX) is 1.71.

To find the probability that the total score is at least 375 when the die is rolled 100 times, we can use the Central Limit Theorem. According to the theorem, the sum of a large number of independent and identically distributed random variables approximates a normal distribution.

In this case, the sum of the outcomes of 100 rolls of the die follows a normal distribution with a mean of μX multiplied by the number of rolls (100) and a standard deviation of σX multiplied by the square root of the number of rolls (10). Therefore, the approximate probability can be calculated by finding the probability that the sum is greater than or equal to 375.

Using a normal distribution table or a calculator, we can find that the approximate probability is 0.4420, which corresponds to answer (d). This means that there is a 44.20% chance that the total score will be at least 375 when the die is rolled 100 times.

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Answer:

0 over 12

Step-by-step explanation:

3/4 is equal to 9/12

so your basically taking 9/12 from 9/12

The answer is 1. The ΣX for a sample of n=12 scores with M=8 is 96, 2. The mean for combined samples of n=15 (mean=10) and n=10 (mean=8) is 9.33, 3a. The original mean before adding 6 points is 8, 3b. The original mean before multiplying scores by 4 is 8, 4. The new sample means after removing X=18 is 22.5, and 5. The score added to a population with μ=24 to achieve μ=34 is 34.

1. For any sample, we can find the sum of the scores (ΣX) by multiplying the mean by the number of scores. So in this case:ΣX = M * nΣX = 8 * 12ΣX = 96Therefore, the ΣX value for this sample is 96.

2. To find the mean of the combined samples, we can use the formula: Mean of combined samples = (n1 * mean1 + n2 * mean2) / (n1 + n2) = Mean of combined samples = (15 * 10 + 10 * 8) / (15 + 10) = Mean of combined samples = 9.33. Therefore, the mean for the combined samples is 9.33.

3. a: We can use the formula for shifting the mean to find the original mean: M1 = M2 - kM1 = 14 - 6M1 = 8. Therefore, the value for the mean before 3 points were added to each score is 8. b. The researcher then realizes that she instead needs to multiply each score by 4. Using the original scores, she multiplies each by 4 and finds the mean to be M=32. We can again use the formula for shifting the mean to find the original mean: M1 = M2 / kM1 = 32 / 4M1 = 8. Therefore, the value of the mean prior to multiplying each score by 4 points is 8.

4. To find the new sample mean, we need to remove the score and adjust the mean accordingly. We can use the formula: New mean = (ΣX - X) / (n - 1)New mean = (ΣX - 18) / 10. Given that the original mean is 22, we can solve for ΣX:22 = ΣX / 1122 * 11 = ΣX243 = ΣX. Now we can plug in to find the new mean: New mean = (243 - 18) / 10 = New mean = 22.5. Therefore, the value of the new sample mean is 22.5.

5. We can use the formula for adding a score to a population to find the value of the added score: N μ = ΣX / NN * μ = ΣX / N + 1. Given that N = 10 and μ = 24 for the original population, we can solve for ΣX:10 * 24 = ΣX240 = ΣX. Now we can use the new mean and the formula to solve for the added score:11 * 34 = 240 + X / 11274 = 240 + XX = 34. Therefore, the value of the score that was added is 34.

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The answer provides solutions to the various statistical maths problems that involve calculations of mean and sum of scores. These problems explore the understanding of the concept of mean, summation and basic operations.

To answer these questions, you'll need to understand basic concepts of statistics, specifically the calculation of means, and summation of scores (ΣX). So, let's break them down one by one:

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The equation of the line passing through the points (0,0) and (2, -3) is y = (-3/2)x. Option D.

To find the equation of the line passing through the points (0,0) and (2, -3), we can use the point-slope form of a linear equation: y - y1 = m(x - x1), where (x1, y1) are the coordinates of one point on the line, and m is the slope of the line.

Given the points (0,0) and (2, -3), we can calculate the slope as follows:

slope (m) = (change in y) / (change in x)

= (-3 - 0) / (2 - 0)

= -3/2

Now that we have the slope, we can substitute one of the given points and the slope into the point-slope form to find the equation of the line. Let's use the point (0,0):

y - y1 = m(x - x1)

y - 0 = (-3/2)(x - 0)

y = (-3/2)x Option D is correct.

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For this problem, we are given the dimensions of a garden and the cost of planting seeds per square meter in this garden. We need to determine the total cost of planting the seeds.

The first step is to calculate the area of the garden, for which we need to multiply the length and width:

Now we need to multiply the area by the cost of the seeds per square meter. We have:

The total cost is 21.5x² + 40.85x -32.25

Without knowing the three random variables that you are referring to, it is impossible to determine which one has the smallest standard deviation.

Standard deviation is a measure of how much the data in a set varies from the mean or average.

A small standard deviation indicates that the data points are close to the mean, while a large standard deviation indicates that the data points are spread out over a larger range.

In order to determine which of the three random variables has the smallest standard deviation, you would need to calculate the standard deviation for each variable and compare the results.

The variable with the smallest standard deviation is the one with the least amount of variation from the mean.

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Answer:

we conclude that an inequality 'c ≥ 5' denotes this situation.

Step-by-step explanation:

Given

When we talk about 'at least', it means we are talking about '≥' in terms of representing the 'at least' in inequality symbol.

For instance,

'm≥n' means 'm' is greater than or equal to 'n'.

It means 'm' is at least equal to 'n'.

Coming back to the question,

As the car dealer ship sells at least 5 minivans. so the

inequality will be: c ≥ 5

Thus, we conclude that an inequality 'c ≥ 5' denotes this situation.

To guess a particular solution up to the term involving the highest power of u and its derivatives, we assume that the particular solution has the form:

u_p = a(x) + b(x)y

where a(x) and b(x) are functions to be determined.

Substituting this into the given equation:

u^2 + 2xu(dy/dx) = 2x^2

Expanding the terms and collecting like terms:

(a + by)^2 + 2x(a + by)(dy/dx) = 2x^2

Expanding further:

a^2 + 2aby + b^2y^2 + 2ax(dy/dx) + 2bxy(dy/dx) = 2x^2

Comparing coefficients of like terms:

a^2 = 0        (coefficient of 1)

2ab = 0        (coefficient of y)

b^2 = 0        (coefficient of y^2)

2ax + 2bxy = 2x^2        (coefficient of x)

From the equations above, we can see that a = 0, b = 0, and 2ax = 2x^2.

Solving the last equation for a particular solution:

2ax = 2x^2

a = x

Therefore, a particular solution up to u^2 + 2xuy is:

u_p = x

To find the general solution, we need to add the homogeneous solution. The given equation is a first-order linear PDE, so the homogeneous equation is:

2xu(dy/dx) = 0

This equation has the solution u_h = C(x), where C(x) is an arbitrary function of x.

Therefore, the general solution to the given PDE is:

u = u_p + u_h = x + C(x)

where C(x) is an arbitrary function of x.

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Answer:

1/2x-2

Step-by-step explanation:

if this is set up as y=mx+b then we already know the slope of the line to be 1/2 all that we are changing is where it intersects the y axis with is now -2

Answer:

wwwwwwwwwwwwwwwwwwww

The given statement "if you try to match a slope and an intercept at the same time, their mistakes will be related" is TRUE.

A y-intercept, also known as a vertical intercept, is the location where the graph of a function or relation intersects the coordinate system's y-axis.

This is done in analytic geometry using the common convention that the horizontal axis represents the variable x and the vertical axis the variable y.

These points satisfy x = 0 because of this.

The errors of a slope and an intercept will be connected if you fit them simultaneously.

By changing Y to 0 in the equation and figuring out X, you can always determine the X-intercept.

Similarly, by putting X to 0 in the equation and solving for Y, you can always determine the Y-intercept.

Therefore, the given statement "if you try to match a slope and an intercept at the same time, their mistakes will be related" is TRUE.

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Answer:

21

Step-by-step explanation:

Since the girls have the same age, let their age be x.
Then, their average is

\(\frac{x+x}{2} = \frac{2x}{2} = x\)

Let \(S_{i}\) denote the age of 'i' girls.
Then, \(S_{8} = S_{6} + x + x - eq(1)\)

Also, we have,

\(\frac{S_{8}}{8} =15 - eq(2)\)

\(\frac{S_{6}}{6} =13 - eq(3)\)

Then eq(2):

(from eq(1) and eq(3))

\(\frac{S_{6} + 2x}{8} =15\\\\\frac{13*6 + 2x}{8} = 15\\\\78+2x = 120\\\\2x = 120-78\\\\x = 21\)

The average of the other two girls with equal age​ is 21

Answer:

35 degrees

Step-by-step explanation:

Answer:

-1

Step-by-step explanation:

here's your solution

=> The value of x = 1

=> The value of y = 2

=> we need to find ( x - y)

=> so, put the value of above variables in it

=> hence, (1 - 2) = - 1

=> - 1 is correct answer

hope it helps

The length of BC in this problem is given as follows:

BC = 3.6.

Two triangles are defined as similar triangles when they share these two features listed as follows:

The similar triangles for this problem are given as follows:

ABC and ADE.

Hence the proportional relationship for the side lengths is given as follows:

3/5 = BC/6.

Applying cross multiplication, the length BC is given as follows:

BC = 6 x 3/5

BC = 3.6.

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To find the area of part of the surface of the paraboloid z = 1 – x2 – y2 that lies above the plane z = – 1, we need to first find the intersection curve between the two surfaces.

This occurs when 1 – x2 – y2 = – 1, or x2 + y2 = 2. This is a circle centered at the origin with radius √2. To find the area of the surface above the plane, we need to integrate the surface area element dS over this circle. We can parameterize the surface as r(x,y) = (x, y, 1 – x2 – y2), and the surface area element is given by dS = √(1 + fx2 + fy2)dxdy. Integrating over the circle, we get the area as A = ∫∫√(1 + 4x2 + 4y2)dxdy, which can be evaluated using polar coordinates.

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Answer:

B) 6 inches

Step-by-step explanation:

==>Given that ∆JKL ~ ∆TUV, it therefore means the ratio of proportion of the corresponding sides of ∆JKL and ∆TUV are equal.

Thus:

JK/TU = JL/TV = KL/UV

10/7.5 = 8/x = 13/9.75

Let's find x

10/7.5 = 8/x

=>Cross multiply

10*x = 8*7.5

10x = 60

Divide both sides by 10

x = 6 inches

Our answer is B) 6 inches

The total surface area of the triangular prism is  225  in²

Remember that the area of a rectangle of length L and width W is:

A = L*W

And the area of a triangle of base B and height H is:

A = B*H/2

The areas of the 2 triangular faces is:

A = (4.5 in)*6in/2 = 13.5 in²

And the areas of the 3 rectangular faces are:

Then the total surface area is:

2*(13.5 in²) + 66 in² + 49.5 in² + 82.5 in² = 225  in²

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Answer: c

Step-by-step explanation: 18/8=2.25

Answer:

628 mm^3

Step-by-step explanation:

formula is (pi*height*radius^2)/3. plug in values, and the answer will be A. hoep it helps

Answer:

C

Step-by-step explanation:

V = pi x r^2 x h

V = 3.14 x 10^2 x 6

V = 1884 mm^3

The score which is assigned from 1 to 4 by the teacher to each student for the project and is most likely to be is 3 with 0.48 probability.

Probability distribution is the statistical model which represent all the achievable and similar values of a random variable that it can possess in a specified range.

A teacher assigns a score from 1 to 4 to each student project. the table below shows the probability distribution of the scores for a randomly selected student.

In the above data, the height probability of selection is 0.48. This probability belongs to the score 3.    

Thus, the score which is assigned from 1 to 4 by the teacher to each student for the project and is most likely to be is 3 with 0.48 probability.  

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Answer:

C on edge

Step-by-step explanation:

3