a. What happens when Tukey's procedure is applied? (Round your answer to two decimal places.)b.which means differ significantly from one another? (Select all that apply.)x1. and x2.x1. and x3.x1. and x4.x1. and x5.x2. and x3.x2. and x4.x2. and x5.x3. and x4.x3. and x5.x4. and x5. Consider the accompanying data on plant growth after the application of different types of growth hormone 1: 14 18 8 13 2: 21 13 20 18 3: 19 16 19 16 4: 8 11 18 10 5: 5 12 15 8

The value of x is either 3 or -5 based on the distance formula.

What is a co-ordinate system?

In pure mathematics, a coordinate system could be a system that uses one or additional numbers, or coordinates, to uniquely confirm the position of the points or different geometric components on a manifold like euclidean space.

Main body:

according to question

Given points A(-1,4) and B(x,7)

Also AB = 5 cm

Formula of distance = \(\sqrt{(y1-y2)^{2}+(x1 -x2)^{2} }\)

here by using points ,

5 = \(\sqrt{(x+1)^{2} +(7-4)^{2} }\)

taking square on both side ,'

25 = \((x+1)^{2} +3^{2}\)

25-9 = (x+1)²

16 = (x+1)²

taking square root on both sides,

x+1= ±4

x = 4-1 = 3                                  or              x = -4-1 = -5

Hence value of x is either 3 or -5.

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32(-5) + 0 + 160 = 0 is the line in the general form of the line the passing through (−5,0) with the slope 32.

A number that describes a line's direction and steepness is known as the slope or gradient of a line in mathematics. There is no obvious reason why the letter m is used to represent slope, although it first appears in English in O'Brien (1844), who wrote the equation for a straight line as "y = mx + b," and it may also be found in Todhunter (1888), who wrote it as "y = mx + c."

Let us write the given data in slope-intercept form that is

y = m(x) + b

where m = slope of the line

b = y-intercept

So substituting the values we get

0 = 32(-5) + b

-b = -160

b = 160

so we have the slope intercept form

0 = 32(-5) + 160

Converting this to General form

ax + by + c = 0

32(-5) + 0 + 160 = 0

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Translated question

Given the following conditions, determine the equation of the line in its general form Ax+By+C=0.

It passes through (−5,0) and has slope m=32.

Answer: i think its a or d

Step-by-step explanation:hope

i helped

Various heuristics and approximation algorithms are used to find near-optimal solutions efficiently in practice.

One example of a decision problem known to be NP-Complete is the "Traveling Salesman Problem" (TSP).

The Traveling Salesman Problem (TSP):

The TSP is a classic problem in computer science and operations research. It involves a salesman who needs to visit a set of cities, each exactly once, and return to the starting city while minimizing the total distance traveled.

Criteria for NP-Completeness:

To be classified as NP-Complete, a decision problem must meet the following two criteria:

a. It must belong to the class of problems known as NP (nondeterministic polynomial time), meaning that a solution can be verified in polynomial time.

b. It must be at least as hard as any other problem in the class NP. In other words, if a polynomial-time algorithm is found for one NP-Complete problem, it would imply polynomial-time solutions for all other NP problems.

Solution to the Optimization Problem:

The corresponding optimization problem for the TSP is to find the shortest possible route that visits all cities exactly once and returns to the starting city. The outline of a solution to this problem is as follows:

a. Enumerate all possible permutations of the cities.

b. For each permutation, calculate the total distance traveled along the route.

c. Keep track of the permutation with the minimum total distance.

d. Output the permutation with the minimum distance as the optimal solution.

However, it's important to note that the TSP is an NP-Complete problem, which means that finding an optimal solution for large problem instances becomes computationally infeasible.

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If the actual temperature of steam is 99 °C and is assumed to be 100 °C in calculations, the error introduced can be significant depending on the specific calculations being performed.

Similarly, if the actual temperature of steam is 101 °C and is assumed to be 100 °C, the error introduced can also be significant.

The amount of error introduced when assuming the temperature of steam to be 100 °C instead of the actual temperature of 99 °C or 101 °C depends on the specific calculations being performed.

Similarly, in industrial processes, assuming an incorrect temperature of steam could result in inefficiencies or even safety hazards. Therefore, the difference between the actual temperature of steam and the assumed temperature of 100 °C should not be considered negligible in many cases.

In conclusion, the error introduced by assuming a temperature of 100 °C instead of the actual temperature of steam depends on the specific calculations being performed and can be significant in some cases. It is always best to use accurate and precise measurements in scientific and engineering calculations to minimize the potential for error.

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Complete Question:

1. If you use 100 °C for the temperature of steam in your calculations, how much error do you introduce if it is actually 99 °C or 101 °C? Is this difference negligible?

The homogeneous system of linear equations has a solution space with a basis of {(1, 2, -1)}. The dimension of the solution space is 1.

To find a basis for the solution space of the given homogeneous system of linear equations, we need to solve the system and express the solutions in terms of a linear combination of vectors.

The system of equations is as follows:

Equation 1: -x + y - z = 0

Equation 2: 2x - y = 0

Equation 3: 2x - 3y - 4z = 0

We can start by using the equations to eliminate variables. From Equation 2, we can express y in terms of x as y = 2x. Substituting this into Equation 1 gives us -x + 2x - z = 0, which simplifies to x - z = 0. Rearranging this equation, we have x = z.

Now, we can express the variables in terms of a single parameter. Let's choose z as the parameter. Thus, x = z and y = 2x = 2z.

Now, we can express the solutions in vector form as (x, y, z) = (z, 2z, z) = z(1, 2, 1). This means that the solution space is spanned by the vector (1, 2, 1).

To find the basis for the solution space, we need to check if the vector (1, 2, 1) is linearly independent. Since it is the only vector spanning the solution space, it is linearly independent. Therefore, the basis for the solution space is {(1, 2, 1)}.

The dimension of the solution space is equal to the number of vectors in the basis, which in this case is 1. Therefore, the dimension of the solution space is 1.

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Answer:

I think the answer would just be 2, I'm not for sure on this one

Answer:

B ,I think

Step-by-step explanation:

Answer: B

Step-by-step explanation: 35÷100=0.35

If dimensions of the globe that is 16 inches in diameter were reduced by half, then its volume would be 267.9 in³.

What is volume ?

The volume of an object is a measure of the amount of space occupied by that object.

Here given that originally diameter was 16 inches but then dimensions of the globe was reduced by half

The new diameter is equal to

D = 16 / 2 = 8 in

Hence radius is equal to

 r = 8/2 = 4 in

The volume of the reduced globe is

\(V = \frac{4}{3} \pi r^{3}\)

\(V= \frac{4}{3} (3.14) (4)^{3}\) = 267.9 in³

f dimensions of the globe that is 16 inches in diameter were reduced by half, then its volume would be 267.9 in³

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The 4 steps to solve an equation:

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To perform the vector calculations graphically, we'll start by plotting the vectors u, v, and w in the Cartesian coordinate system. Then we'll perform the given vector calculations and draw the resulting vectors.

Let's go step by step:

Addition of vectors (u + v):

Plot vector u = (1, 1) as an arrow starting from the origin.

Plot vector v = (4, 2) as an arrow starting from the end of vector u.

Draw a vector from the origin to the end of vector v. This represents the sum u + v.

[Graphical representation]

Subtraction of vectors (v - w):

Plot vector v = (4, 2) as an arrow starting from the origin.

Plot vector w = (1, -3) as an arrow starting from the end of vector v (tip of vector v).

Draw a vector from the origin to the end of vector w. This represents the difference v - w.

[Graphical representation]

Scalar multiplication (2u):

Plot vector u = (1, 1) as an arrow starting from the origin.

Multiply each component of u by 2 to get (2, 2).

Draw a vector from the origin to the point (2, 2). This represents the scalar multiple 2u.

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Answer:

y2- y1 over

x2 -x2

\( - 3 - 0 = - 3\)

\(0 - 2 = - 2\)

Step-by-step explanation:

slope is m =

\(m = - \frac{3}{2} \)

use the -3 for b and you get

\(y = - \frac{3}{2} x - 3\)

slope intercept form

Answer:

461 divided by 10^3 is 0.461.

Step-by-step explanation:

Hope this helps and I hope u have an Amazing day!!

The volume of the simplex is 1^n. So , the volume of the simplex with vertices at the origin and the standard basis vectors in nn dimensions is simply 1.

In nn dimensions, the simplex is a geometric shape formed by connecting the origin and the standard basis vectors.

The volume of this simplex can be determined by finding the determinant of the matrix formed by these basis vectors. Since the standard basis vectors are orthogonal, the determinant of this matrix will be equal to the product of their magnitudes.

In nn dimensions, each standard basis vector has a magnitude of 1. Therefore, the volume of the simplex is 1^n.

To simplify, any number raised to the power of 1 is equal to the number itself.

So, the volume of the simplex with vertices at the origin and the standard basis vectors in nn dimensions is simply 1.

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Answer:

119 eggs

Step-by-step explanation:

To start off, we know that this number has to be of some multiple of 7. Because if the eggs are taken out 7 at a time, and no eggs are left over, then the total number of eggs can be divisible by 7. Because there is however a multiple if you take out the eggs 2-6 times, there are eggs left over. The smallest multiple of 7 we can test is simply 7. To check, we can start with dividing 7 by 6 and getting a remainder of 1 instead of 5. So we know that 7x1 doesn't work.

The next smallest multiple of 7 that isn't multiplied from 2-6 is 7x7 to get 49. from here we can check that 49/6 = 8 r1 (r meaning remainder). So we know that 7x7 can't work. From here, the next smallest number would be 7x11.

7x11 = 77. 77/6 is 12 r5. This so far looks good. Now we can try 5. 77/5 = 15 r2. This doesn't work, so we try the next largest number which is 7x13 which is 91.

91/6 = 15 r1 which doesn't work. Next we try 7x17 which is 119. 119/6 is 19 r5 (looks good), 119/5 = 23 r4 (looks good), 119/4 is 29 r3, 119/3 is 39 r2, and 119/2 is 59 r1! Which means our answer is that the least number of eggs in the basket is 119.

Answer:

54

Step-by-step explanation:

JL = JK+ KL

Since K is the midpoint

JK = KL

8x+11 = 14x-1

Subtract 8x from each ide

8x+11-8x = 14x-1-8x

11 = 6x-1

Add 1 to each side

11+1 = 6x-1+1

12 = 6x

Divide by 6

12/6 = 6x/6

2 = x

JL = JK+ KL

    = 8x+11 + 14x-1

    = 22x+10

    = 22*2 + 10

    = 44+10

   = 54

Answer:

JL = 54

Step-by-step explanation:

JK = 8x + 11

KL = 14x - 1

Find x:

JK = KL

8x + 11 = 14x - 1

12 = 6x

x = 2

JL = JK + KL

JL = 8x + 11 + 14x -1

JL = 22x + 10

JL = 22(2) + 10

JL = 54

Answer:

Below

Step-by-step explanation:

Radians =  degrees * pi /180

Radians * 180/pi   =  degrees

Given that the perimeter of the square base is 32 cm, The surface area of the square pyramid is 304 cm².

The surface area of a square pyramid can be calculated using the formula: SA = B + (1/2)Pl, where B is the area of the base, P is the perimeter of the base, l is the slant height, and SA is the total surface area.

Given that the perimeter of the square base is 32 cm, we can divide it by 4 to find the length of each side: 32 cm / 4 = 8 cm.

Now, we can calculate the area of the base by squaring the length of a side: B = (8 cm)² = 64 cm²

Using the given slant height of 15 cm, we can plug in the values into the formula for SA: SA = 64 cm² + (1/2)(32 cm)(15 cm) = 64 cm² + 240 cm² = 304 cm².

Therefore, the surface area of the square pyramid is 304 cm².

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Answer:

1.1 as a simplified fraction is 11/10 and 1 repeating as a simplified fraction is 1/9

Step-by-step explanation:

pretty sure its right...

Answer: 10/9 hope that helps :>

Step-by-step explanation:

we know that the sample size is 50, the sample mean is 30, and the sample standard deviation is 12. To construct a 95% confidence interval for the population mean, we need to use the formula: CI = X ± t* (s/√n).

where:
- X is the sample mean
- t* is the critical t-value from the t-distribution with (n-1) degrees of freedom and a confidence level of 95%
- s is the sample standard deviation
- n is the sample size.

First, we need to find the critical t-value. Since we have a sample size of 50, our degrees of freedom are (50-1) = 49. Using a t-table or calculator, we can find that the critical t-value for a 95% confidence interval with 49 degrees of freedom is 2.009.

Now we can plug in the values we have: CI = 30 ± 2.009 * (12/√50), Simplifying this expression, we get: CI = 30 ± 4.27
So the 95% confidence interval for the population mean is (25.73, 34.27).


We also need the critical value (z) for a 95% confidence interval, which is 1.96.To calculate the margin of error (ME), use the following formula: ME = z * (s / √n), ME = 1.96 * (12 / √50) ≈ 3.32

Now, construct the confidence interval by adding and subtracting the margin of error from the sample mean:
Lower limit = X - ME = 30 - 3.32 ≈ 26.68
Upper limit = X + ME = 30 + 3.32 ≈ 33.32, So, the 95% confidence interval for the population mean is approximately (26.68, 33.32).

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The t-test has 15 degrees of freedom when testing the null hypothesis H₂ = 50.

To determine the degrees of freedom for the t-test, we need to use the formula:

Degrees of freedom = n - 1

In this case, the sample size is n = 16. Therefore, the degrees of freedom for the t-test would be:

Degrees of freedom = 16 - 1 = 15

So, the t-test has 15 degrees of freedom when testing the null hypothesis H₂ = 50.

The degrees of freedom in a t-test represent the number of independent pieces of information available for estimating the population parameters. In the case of a t-test, the degrees of freedom are determined by the sample size.

In this scenario, the sample size is given as n = 16. When conducting a t-test, we estimate the population parameters based on the sample data. However, since we are estimating the population mean from the sample mean, we lose one degree of freedom in the estimation process.

Therefore, the degrees of freedom for the t-test in this case is calculated as:

Degrees of freedom = n - 1 = 16 - 1 = 15

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Answer:

100998 is the answer.

I hope this help u.

Answer:

100998

Step-by-step explanation:

₁ ₁ ₁ ₁ ₁

99999

+   999

100998

you can also think of it as

99999(+1) + 999(-1)

100000+998

100998

The ratio of r-32 to r-125 is 3:2

A ratio in math displays how many times one number is contained in another. Comparing two numbers by dividing them is how ratios work. Your formula would be A/B if you were contrasting one data point (A) with another data point (B). When both sides of a ratio are whole numbers and cannot be divided by a whole number, the ratio is in its simplest form.

Given,

Refrigerant r-32 and r-125 are the two main constituents of refrigerant r-410.

60 pounds of r-32 and 40 pounds of  r-125 make up to 100 pounds of r-410.

The ratio of r-32 to r-125 = 60/40 =3/2.

Hence, the required ratio of r-32 to r-125 is 3:2

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Humans are drawn to foods that are fatty, sweet, rich and complex. Pizza has all of these components.

Notice that I expressed cost in terms of cents so

that we can avoid having to deal with decimals.

In our second equation, 4 slices of pizza and

10 sodas cost $37, that's 4p + 10s = 3700.

Now let's rewrite our two equations on top of one another.

8p + 5s = 3650

4p + 10s = 3700

To solve this system of equations, I would use addition.

I would multiply the bottom equation by -2

to create a situation where our p's will cancel.

When we do that, we get -8p - 20s = -7400.

Now rewrite the equations once again ~

8p + 5s = 3650

-8p - 20s = -7400

Now add the equations together.

So we have -15s = -3,750.

Divide both sides by -15 and s = 250.

Remember that I expressed cost in terms of cents so

since s = 250, it really means that a soda is $2.50.

Now just plug an s back in for the s in one equation.

When we do this, we find that p = 300.

So a pizza is $3.00

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Answer:

im not sure , sorry

Step-by-step explanation:

Answer:

Option C

Step-by-step explanation:

Graphing inequality:

1) First plot y = 2x + 3 as a dotted line as y is less than x

Put x = 0, y = 2*0 +3 = 0 + 3 = 3    ⇒  (0, 3)

Put x = 1  , y = 2*1 + 3 = 2 +3  = 5    ⇒(1 , 5)

Put x = -1,  y =2*(-1)+3 ⇒ -2+3 = 1    ⇒ (-1,1)

Mark these three points, and draw a dotted line.

2) Shade the area bellow the dotted line as y < 2x + 3

Check: take a point in the shaded area. (1 , -1)

    -1 < 2*1 + 3

   -1 < 2 +3

   -1 < 5

The condition is satisfied.

The vertical asymptotes are x = -1/7 and x = 4/3, and the horizontal asymptote is y = 1/21.

To find the vertical asymptotes of a rational function, we need to determine the values of x that make the denominator equal to zero. In this case, the denominator is (7x + 1)(3x - 4).

To find the vertical asymptotes, we set each factor of the denominator equal to zero and solve for x:

For 7x + 1 = 0:

7x = -1

x = -1/7

For 3x - 4 = 0:

3x = 4

x = 4/3

Therefore, the vertical asymptotes are x = -1/7 and x = 4/3.

As for the horizontal asymptotes, we can determine them by examining the degrees of the numerator and the denominator.

The degree of the numerator is 2 (since the highest power of x is x^2), and the degree of the denominator is 2 as well (since the highest power of x is also x^2). In this case, we compare the leading coefficients of the numerator and the denominator to determine the horizontal asymptotes.

The leading coefficient of the numerator is 1, and the leading coefficient of the denominator is (7 * 3) = 21.

Since the degrees and leading coefficients are the same, there is a horizontal asymptote at y = a/b, where a is the leading coefficient of the numerator (1) and b is the leading coefficient of the denominator (21).

Therefore, the horizontal asymptote is y = 1/21.

In summary, the vertical asymptotes are x = -1/7 and x = 4/3, and the horizontal asymptote is y = 1/21.

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