What is (−3x+5)−(−7x+2) ?

The check for independence in a one- sample is

The population size is further than 10 times the sample size.

The Correct option is D.

What is Z- test?

A Z- test is a statistical thesis test used to determine whether a sample mean significantly differs from a given population mean when the population standard divagation is known.

For a one- sample z- test for a population proportion, the sample is named without relief from a finite population.

In order for the test to be valid, it's necessary to insure that the sample is small relative to the population size.

still, it can be considered large enough to satisfy the independence supposition, If the population size is further than 10 times the sample size. This supposition is necessary for the validity of statistical conclusion in this environment.

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Answer:

D. 4,-1

Step-by-step explanation:

The mathmatical way to solev it is to find the linear equation and plug in the points, but i just looked at the graph to see which point was in the shaded region.

a) A department manager receiving an allocation of costs will care about management's methodology of overhead allocation because the overhead costs allocated to their department will have a direct impact on the department's profitability and cost efficiency.

b) The allocation base is the measure used to determine how much of the overhead costs should be allocated to a particular department or product, while the allocation rate is the amount of overhead costs allocated to each unit of the allocation base

c) Budgets are an important tool for cost planning, but their effectiveness depends on how well they are developed and implemented.

a) If the allocation method used by management is not accurate or fair, it could result in the department being burdened with more costs than they actually incur, which could affect their ability to meet their targets and objectives. It is, therefore, important for department managers to ensure that the allocation of costs is done fairly and accurately.

b) The allocation base and rate are important because they determine how the overhead costs are allocated to different departments or products.

Different allocation bases and rates can result in significantly different amounts of overhead costs being allocated to different departments or products, which can impact their profitability. While all of the overhead costs eventually make their way to the income statement, the allocation of these costs can have a significant impact on the accuracy of the income statement and the ability of the organization to make informed decisions.

c) Budgets can be helpful in providing a roadmap for achieving the organization's goals and objectives, but they need to be flexible enough to adapt to changing circumstances and priorities.

The budget(s) that are most important to the organization's success will depend on the nature of the organization and its objectives. However, typically the operating budget, capital budget, and cash budget are the most important budgets for most organizations.

The government's budget process is similar to the operating budgeting process described in the chapter in that it involves the development of a budget to allocate resources and achieve goals. However, the government's budget process is more complex and involves additional considerations such as political priorities and public opinion. Additionally, the government's budget process involves a more detailed review and approval process than the operating budgeting process.

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As a result, the maximum volume will be V(x) = 5(90-2*5)(60-2*5) = 9000 cm³.

A) The rectangular piece of metal that measures 90 cm by 60 cm has squares cut out of each corner. Let x represent the side length of the squares that are to be cut out of the corners. The length of the base will be 90 - 2x, and the width will be 60 - 2x, as shown in the diagram below.

Thus, the height will be x.

B) To determine an equation for the volume of the box, we'll need to find the product of its length, width, and height.

V (x) = x (90 - 2x) (60 - 2x)

C) The domain of the equation V(x) = x(90-2x)(60-2x) will be restricted to where x is greater than 0 but less than half of the shorter side of the rectangular piece of metal that is 60 cm.

Because if x is greater than 30 cm, the length or width of the base will become negative.

Thus, we get the domain of the equation: 0 < x < 30. D)

To find the dimensions of the box that will yield maximum volume, we will use differentiation,

where dV(x)/dx = 0 will be used to find the critical values.

Thus, dV(x)/dx = 180x - 240x² + 720x - 5400 = 0.

The critical values will be x = 1.8, 2.5, and 5.

The maximum volume of the rectangular box can be found using the maximum value, which is x = 5.

As a result, the maximum volume will be V(x) = 5(90-2*5)(60-2*5) = 9000 cm³.

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Answer:

you have it marked correctly-A.1,2

Step-by-step explanation:

they are the same only flipped around

Answer:

A . 1 and 2

Step-by-step explanation:

count the squares

Answer:

2167.7 sq yds

Step-by-step explanation:

SA(cone) = πr² + πrs     ('s' = slant height)

= π(15)² + π(15)(31)

= 225π + 465π

= 690π

= 2167.7

Answer:

The bottom half is the only half of the problem that is shown.

Step-by-step explanation:

I don't know YOU explain that...

Step-by-step explanation:

V = l.W.H

3(5)(4) = 60 units

The volume of rectangular prism is given by the product of its dimensions hence the correct option is 3(5)(4) = 60 units

A volume is simply defined as the amount of space occupied by any three-dimensional solid. These solids can be a cube, a cuboid, a cone, a cylinder or a sphere. Different shapes have different volumes.

Given that, we need to determine the correct calculation for the volume of the prism,

We know that, the volume of a rectangular prism is the  product of its dimensions = length x width x height

Therefore, the correct formula is 3(5)(4) = 60 units

Hence, the correct option is 3(5)(4) = 60 units

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To calculate a rate, divide the change in the quantity by the corresponding change in the unit of time.

Calculating a rate involves determining the amount of change in a quantity per unit of time. It is commonly expressed as a ratio or a fraction. The formula for calculating a rate is:

Rate = Change in Quantity / Change in Time

Determine the quantity involved: Identify the specific quantity that you want to measure, such as distance, speed, flow, or growth.

Determine the corresponding unit of time: Identify the unit of time over which the quantity is changing, such as seconds, hours, days, or years.

Measure the initial and final values: Take measurements or obtain data for the initial and final values of the quantity of interest.

Calculate the change in quantity: Subtract the initial value from the final value to find the change in the quantity.

Calculate the change in time: Subtract the initial time from the final time to find the change in the unit of time.

Divide the change in quantity by the change in time: Divide the change in the quantity by the corresponding change in the unit of time.

Simplify or round the rate if necessary: Depending on the context and desired level of precision, simplify or round the rate to an appropriate number of decimal places or significant figures.

By following these steps and applying the formula, you can calculate a rate accurately.

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Answer:

14. :D

Step-by-step explanation:

Different logs measure different physical properties of the formation that are related to porosity, and the relationship between the log measurement and porosity can be expressed through equations.

The different logs used to obtain porosity and their principles of measurement, quantities measured, and relation to porosity.
There are three main types of logs used to obtain porosity: neutron logs, density logs, and sonic logs.
Neutron logs: These logs measure the hydrogen content in a formation, which is directly related to porosity. The tool emits neutrons that interact with hydrogen atoms, and the resulting gamma rays are measured. The count rate decreases with increasing porosity. The neutron log can be expressed as:
Porosity = (neutron log reading - matrix reading) / (fluid reading - matrix reading)
Density logs: Density logs measure the bulk density of a formation, which can be related to porosity. The tool emits gamma rays that interact with the formation, and the scattered gamma rays are measured. The bulk density decreases with increasing porosity. The density log can be expressed as:
Porosity = (matrix density - bulk density) / (matrix density - fluid density)
Sonic logs: Sonic logs measure the travel time of sound waves through a formation, which can be related to porosity. The tool sends an acoustic wave and measures the time it takes to travel a specific distance. The travel time increases with increasing porosity. The sonic log can be expressed using Wyllie's time-average equation:
Porosity = (sonic log reading - matrix reading) / (fluid reading - matrix reading)
In summary, neutron logs measure hydrogen content, density logs measure bulk density, and sonic logs measure travel time of sound waves. These measurements can be used to calculate porosity using the respective equations provided.

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The expressions that have 3 as the greatest common factor are b + 3 + 6c, 27n + 66p, and 36 - 9j + 6k.

Thus,

b + 3 + 6c         - Yes

-30 - 24z           - No

27n + 66p         - Yes

36 - 9j + 6k       - Yes

From the question, we are to determine if 3 is the greatest common factor of the given expressions

b + 3 + 6c

3(b + 1 + 2c)

The greatest common factor is 3

-30 - 24z

6(-5 -4z)

The greatest common factor is not 3. The greatest common factor is 6

27n + 66p

3(9n + 22p)

The greatest common factor is 3

36 - 9j + 6k

3(12 - 3j + 2k)

Thus, The greatest common factor is 3

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Using Stokes’ Theorem to evaluate ∫ ⃑∙⃑ ,The value of ∫ ⃑∙⃑ is π.

Let S be the part of the surface z=y² that lies within the cylinder x²+y²=2, with upward orientation. Use Stoke 's theorem to evaluate ∫(C) F·dr, where F(x,y,z)=⟨-2yz,y,3x⟩ and C is the boundary curve of S.

Stoke's theorem states that the line integral of a vector field around a closed curve is equal to the surface integral of the curl of the vector field over the surface bounded by the curve.

∫(C) F·dr=∬(S) curl(F)·dS.For F(x,y,z)=⟨-2yz,y,3x⟩, curl(F)=⟨0,-3,-2y⟩.∬(S) curl(F)·dS=∬(D) curl(F)(r(u,v))·N(r(u,v)) dAwhere D is the projection of S onto the xy plane and N(r(u,v)) is the unit normal vector to S. First, we need to determine the boundary curve of S.

The cylinder x²+y²=2 can be parameterized by x=√2 cos(t) and y=√2 sin(t), 0≤t≤2π. The surface z=y² can be parameterized by r(x,y)=⟨x,y,y²⟩. Then the boundary curve of S is C: r(t)=⟨√2 cos(t), √2 sin(t), 2⟩, 0≤t≤2π. r_x=<-√2 sin(t), √2 cos(t), 0>, r_y=<0,0,1>.So, N(r(u,v))=r_x x r_y=⟨-√2 cos(t), -√2 sin(t), -√2⟩.

Since curl(F) = ⟨0,-3,-2y⟩,curl(F)(r(t)) = ⟨0,-3,-2(2 sin(t))⟩ = ⟨0,-3,-4sin(t)⟩.Now we have ∬(S) curl(F)·dS=∬(D) curl(F)(r(u,v))·N(r(u,v)) dA=∫₀²π ∫₀√2 ⟨0,-3,-4sin(t)⟩ · ⟨-√2 cos(t), -√2 sin(t), -√2⟩ dA=12π∫₀²π(3cos(t)+4sin²(t))dt=12π(3(0)+2)=π.The value of ∫ ⃑∙⃑ is π.

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The degrees of freedom for a statistical analysis involving multiple treatments and blocks are determined based on the number of treatments and blocks using the formula (k - 1) * (b - 1).

The values in the column for the degrees of freedom are determined based on the number of population means or treatments (k), the number of blocks (b), and the total number of observations (nT). The degrees of freedom play a crucial role in statistical analysis as they determine the distribution of test statistics and critical values.

The degrees of freedom are calculated using the formula:

df = (k - 1) * (b - 1)

In this formula, (k - 1) represents the degrees of freedom for treatments, which is obtained by subtracting 1 from the number of treatments. Similarly, (b - 1) represents the degrees of freedom for blocks, obtained by subtracting 1 from the number of blocks.

Multiplying these two values together gives us the total degrees of freedom for the analysis. This value is important because it affects the critical values for hypothesis testing and the interpretation of test statistics.

In summary, the degrees of freedom for a statistical analysis involving multiple treatments and blocks are determined based on the number of treatments and blocks using the formula (k - 1) * (b - 1). These degrees of freedom are crucial for hypothesis testing and determining critical values in statistical analysis.

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At a significance level of 0.05, the one-way ANOVA analysis provides evidence to reject the null hypothesis and conclude that there is a difference among machines in the mean weight of the product.

To test the claim that there is a difference among machines in the mean weight of the product, we can perform a one-way ANOVA analysis. Let's go through the steps to conduct the analysis.

Step 1: State the null and alternative hypotheses:

Null hypothesis (H₀): There is no difference among machines in the mean weight of the product.

Alternative hypothesis (H₁): There is a difference among machines in the mean weight of the product.

Step 2: Set the significance level:

The significance level (α) is given as 0.05.

Step 3: Calculate the sample means and overall mean:

Calculate the sample means for each machine and the overall mean across all machines.

Machine 1: Mean = (35 + 20 + 40 + 30 + 25) / 5 = 30

Machine 2: Mean = (25 + 23 + 20 + 24 + 18) / 5 = 22

Machine 3: Mean = (40 + 45 + 26 + 34 + 45) / 5 = 38

Machine 4: Mean = (20 + 34 + 20 + 32) / 4 = 26

Overall mean = (30 + 22 + 38 + 26) / 4 = 29

Step 4: Calculate the sum of squares:

Calculate the sum of squares within groups (SSW) and the sum of squares between groups (SSB).

SSW = Σ(xi - Xi)², where xi represents each observation and Xi represents the mean of each machine.

SSB = Σ(ni × (Xi - X)²), where ni represents the number of observations for each machine and X is the overall mean.

SSW = (35-30)² + (20-30)² + (40-30)² + (30-30)² + (25-30)² + (25-22)² + (23-22)² + (20-22)² + (24-22)² + (18-22)² + (40-38)² + (45-38)² + (26-38)² + (34-38)² + (45-38)² + (20-26)² + (34-26)² + (20-26)² + (32-26)² = 314

SSB = (5 × (30-29)²) + (5 × (22-29)²) + (5 × (38-29)²) + (4 × (26-29)²) = 198

Step 5: Calculate the degrees of freedom:

Degrees of freedom within groups (dfW) = Total number of observations - Number of groups = 20 - 4 = 16

Degrees of freedom between groups (dfB) = Number of groups - 1 = 4 - 1 = 3

Degrees of freedom total (dft) = Total number of observations - 1 = 20 - 1 = 19

Step 6: Calculate the mean squares:

Mean square within groups (MSW) = SSW / dfW

Mean square between groups (MSB) = SSB / dfB

MSW = 314 / 16 = 19.625

MSB = 198 / 3 = 66

Step 7: Calculate the F statistic:

F statistic = MSB / MSW

F statistic = 66 / 19.625 ≈ 3.36

Step 8: Determine the critical value and compare with the F statistic:

Using the F-distribution table or a statistical software, find the critical value corresponding to α = 0.05, dfB = 3, and dfW = 16. Let's assume the critical value is 3.24.

We reject the null hypothesis since the F statistic (3.36) is greater than the critical value (3.24).

Step 9: Conclusion:

At the 0.05 significance level, we have sufficient evidence to conclude that there is a difference among machines in the mean weight of the product.

ANOVA Table -

Source of Variation    |  Sum of Squares  |  Degrees of Freedom  |  Mean Square  |  F-Value

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

Between Groups    |       198        |          3           |      66          |   3.36

Within Groups        |       314         |          16          |      19.625   |

Total                        |       512        |          19          |                     |

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

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The question is -

There are four different machines to produce one of the products. you claim that the weights of the products in the different machine is different. the machines need justification. You randomly select five products from each machine from trials on an automated driving machine. at the 0.05 significance level, is there a difference among machines in the mean weight of the product? test this claim showing all calculation steps clearly in the ms. A world file (25p) and draw an ANOVA table for the solution (10p).

Machine 1             Machine 2           Machine 3              Machine 4

     35                         25                        40                           20

     20                         23                        45                           34

     40                         20                        26                           34  

     30                         24                        34                           20

     25                         18                         45                           32

Answer:

1=x

Step-by-step explanation

Add 14 to both side(because it is opposite)

-6=8x-14

+14       +14

8=8x

Divide both sides by 8

8/8=8x/8

1=1x(or just 1=x)

The answer will be X=1.

Answer:

D

Step-by-step explanation:

Trust me

Answer:

\( \frac{28}{45} \)

Step-by-step explanation:

Please see the attached picture for the full solution.

Answer:

31

Step-by-step explanation:

Substitute the values for the variables.

\(2(5)+7(3)\\10+21\\31\)

hello,

substitute in the numbers

2(5) + 7(3)

10 + 21

= 31

Answer:

Multiplying

Step-by-step explanation:

The Multiplying of a positive integer is negative.

Answer:

\( {x}^{2} - {y}^{2} + 4y - 4 \\ \\ {x}^{2} - ( {y}^{2} .2.y.y + {2}^{2} ) \\ \\ {x}^{2} - (y - 2) {}^{2} \\ \\ (x + y - 2)(x - y + 2)\)

Answer:

hope it's was helpful to you

Answer:

Step-by-step explanation:

-9(z-8)=-9z-72

<=>  9z-72=--9z-72

zthuộc R ( vì có 2 vế bằng nhau)

To calculate the discharge through the circular channel, we can use Manning's equation, which relates the flow rate (Q) to the channel properties and flow conditions. Manning's equation is given by:

Q = (1/n) * A * R^(2/3) * S^(1/2)

where:

Q is the discharge (flow rate)

n is Manning's coefficient (0.014 in this case)

A is the cross-sectional area of the channel

R is the hydraulic radius of the channel

S is the slope of the channel bed

First, let's calculate the cross-sectional area (A) of the circular channel. The diameter of the channel is given as 6m, so the radius (r) is half of that, which is 3m. Therefore, the area can be calculated as:

A = π * r^2 = π * (3m)^2 = 9π m^2

Next, let's calculate the hydraulic radius (R) of the channel. For a circular channel, the hydraulic radius is equal to half of the diameter, which is:

R = r = 3m

Now, we can calculate the slope (S) of the channel bed. The given slope is 1 in 600, which means for every 600 units of horizontal distance, there is a 1-unit change in vertical distance. Therefore, the slope can be expressed as:

S = 1/600

Finally, we can substitute these values into Manning's equation to calculate the discharge (Q):

Q = (1/0.014) * (9π m^2) * (3m)^(2/3) * (1/600)^(1/2)

Using a calculator, the discharge can be evaluated to get the final result.

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Answer:

X = 6

Step-by-step explanation:

17 - 5 = 12

12 ÷ 2 = x

12 ÷ 12 = 6

The vector PQ, which connects the points P(0,0) and Q(-5,-3), can be visualized as an arrow pointing from P to Q in the xy-coordinate system. The magnitude of vector PQ is √34 (approximately 5.83) .

To sketch the vector PQ, we start at the origin (point P) and move 5 units to the left along the x-axis and 3 units downward along the y-axis to reach point Q. This creates an arrow that represents the direction and magnitude of the vector. The arrow starts at P(0,0) and ends at Q(-5,-3).

To compute the magnitude of vector PQ, we can use the distance formula derived from the Pythagorean theorem. The distance formula states that the distance between two points (x₁,y₁) and (x₂,y₂) in a Cartesian coordinate system is given by the square root of the sum of the squares of the differences in their x and y coordinates:

Magnitude = √(\((x₂ - x₁)² + (y₂ - y₁)²)\)

In this case, substituting the coordinates of P(0,0) and Q(-5,-3) into the formula, we get:

Magnitude = √((\(-5 - 0)² + (-3 - 0)²)\)\(-5 - 0)² + (-3 - 0)²)\)

= √\(sqrt{((-5)² + (-3)²)}\)

= √(25 + 9)

= √34

Therefore, the magnitude of vector PQ is √34 (approximately 5.83)

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For n is positive integer and d is a digit such that gives the numerical value and satisfied all given conditions. We get the base value i.e n is 9

and d = 2 . So, required value n+d = 11 .

We can start by setting up an equation to convert 32d base n to base 10. To convert this to base 10, it would be 3n²+2n+d. Because it is equal to 263, we can set this equation to 263. Finally, subtract d from both sides to get

3n²+2n = 263-d.

We can also set up equations to convert 324 base n and 11d1 base 6 to base 10. The equation to covert 324 base n to base 10 is 3n²+2n+4. The equation to convert 11d1base 6 to base 10 is 6³+ 6²+6d+1.

Simplify , 6³+6²+6d+1 so it becomes 6d+253. Setting the above equations equal to each other, we have3n²+2n+4 = 6d+253. Subtracting 4 from both sides gets 3n²+2n = 6d+249.

We can then use equations

3n²+2n = 263-d

3n²+2n = 6d+249 to solve for d.

Set 263-d equal to 6d+249 and solve to find that d=2.

Plug d=2 back into the equation 3n²+2n = 263-d. Subtract 261 from both sides to get your final equation of 3n²+2n-261 = 0.

We solve using the quadratic formula to find that the solutions are 9 and -10. Because the base must be positive, n=9.

Adding 2 to 9 we get, n+ d = 9+2 = 11

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Answer:

6/x = 3/28.

Step-by-step explanation:

Both fractions are inverted.

Taking the reciprocals:

1 /x/6 = 6/x and

1 / 28/3 = 3/28.

Answer:

6/x = 3/28

Step-by-step explanation:

Answer:

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