Use the Rule for Sample Means to explain why it is desirable to take as large a sample as possible when trying to estimate a population value. The Rule for Sample Means says that the standard deviation of the frequency curve for the samples will be the______ divided bye______ so the large the sample size the _____ the standars deviation of this frequency curve and hence better the estimate

To minimize the penalty cost, the linear programming problem is formulated as a goal programming problem by introducing deviation variables (d₁, d₂, d₃) and surplus variables (s₁, s₂), with the objective function Z = 100d₁ + 50d₂ + 10d₃ and the corresponding constraints.

To formulate the given linear programming problem as a goal programming problem to minimize the penalty cost, we can introduce deviation variables on each constraint and assign penalty weights to these variables. The goal is to minimize the total penalty cost:

d₁: Deviation variable for the first constraint (3x₁ + 2x₂ ≥ 30)

d₂: Deviation variable for the second constraint (2x₁ + x₂ ≥ 40)

d₃: Deviation variable for the third constraint (5x₁ + 3x₂ ≤ 50)

We also need to introduce positive surplus variables to ensure the original constraints are not violated:

s₁: Surplus variable for the first constraint (3x₁ + 2x₂ ≥ 30)

s₂: Surplus variable for the second constraint (2x₁ + x₂ ≥ 40)

Now, let's formulate the linear programming model with penalty costs and deviation variables:

Minimize:

Z = 100d₁ + 50d₂ + 10d₃

Subject to:

3x₁ + 2x₂ - d₁ + s₁ = 30

2x₁ + x₂ - d₂ + s₂ = 40

5x₁ + 3x₂ + d₃ ≤ 50

x₁, x₂, d₁, d₂, d₃, s₁, s₂ ≥ 0

The objective function minimizes the penalty cost by summing the products of deviation variables and their respective penalty weights.

The first constraint includes the deviation variable d₁ to measure the deviation from the minimum requirement of 30. The surplus variable s₁ ensures that the original constraint is not violated.

Similarly, the second constraint includes the deviation variable d₂ and the surplus variable s₂.

The third constraint includes the deviation variable d₃ to penalize any excess beyond the upper limit of 50.

All decision variables (x₁, x₂, d₁, d₂, d₃, s₁, s₂) are non-negative.

Solving this goal programming problem will minimize the penalty cost associated with failing to satisfy the original constraints.

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Answer:

-16m^16 n^5

Step-by-step explanation:

(2m^4)^4*-n^5

= 2^4*m^16*(-n^5)

= 16 m^16 * (-n^5)

= -16m^16 n^5

hopefully this will help

Remember the rule

In 2D, tt can be extended on other side to any length you deserve. But if you talk of sub tangent, then it has particular length.

In 3D, on the surface talking of size of tangent plane it has no particular size. It can be extended on either side to any extent you desire.

In 2D:

At a particular point P(h,k) to a curve y=f(y). Tangent vector is given by equation y(k) = f(h,k)*(x-k) which is unique for that point on the curve. Taking of length a tangent has no particular length. It can be extended on other side to any length you deserve. But if you talk of sub tangent, then it has particular length.

In 3D:

As a particular point P(h,k,1) to a surface f(x,y,z) = 0. Tangent plain is given by equation F(x)(x-h)+F(y)(y-k)+F(z)(z.1)=0 which is unique. For that point on the surface talking of size of tangent plane it has no particular size. It can be extended on either side to any extent you desire.

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With a greater mean value , we can conclude that the sixth period class test was better than the second period .

Second period class:

Mean = (55+70+6*75+6*80+2*85+3*90+95)/20

Mean = 1590/20 = 79.5

Sixth period class:

Mean = (65+3*75+5*80+6*85+3*90+2*95)/20

Mean = 1660/20 = 83

Therefore, From the mean values , we can infer that students performed better in test for the sixth period class than the second .

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Answer:

Yes

Step-by-step explanation:

The missing angle in triangle DER is 42 (as angles in a triangle add up to 180) and the missing angle in TVA (LOKI lol ) is 110 (as angles in a triangle add up to 180) .

Since all angles are equal the triangles must be similar .

Hope this helped and have a good day

The domain of the function \(f(x) = \sqrt{\frac{1}{3}x + 2\) is (d) x  ≥ -6

From the question, we have the following parameters that can be used in our computation:

\(f(x) = \sqrt{\frac{1}{3}x + 2\)

Set the radicand greater than or equal to 0

So, we have

1/3x + 2 ≥ 0

Next, we have

1/3x  ≥ -2

So, we have

x  ≥ -6

Hence, the domain of the function is (d) x  ≥ -6

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Answer:

the answer to your question is $25.81

Option D 50.27 square units.

The area of a circle is related to its radius and a mathematical constant π whose approximated value is 3.142, and the area of the circle is πr².

Add 1 to the hundredth if the digit following the hundredth is more than or equal to 5. Remove the digit if not.

The area of the circle is 3.142*4*4 = 50.272

Rounding off to the hundredth as after the hundredth place there is a 2 we will round off the answer to 50.27

The area of the circle with a radius of 4 units is 50.27.

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The answers to both subparts are shown:

(A) The expression is: 4x = 714

(B) Money she put in her savings account each week: $178.5

An expression, often known as a mathematical expression, is a finite collection of symbols that are well-formed in accordance with context-dependent principles.

Any mathematical statement that includes numbers, variables, and an arithmetic operation between them is known as an expression or algebraic expression.

In the phrase 4m + 5, for instance, the terms 4m and 5 are separated from the variable m by the arithmetic sign +.

Let's assume she works 7 days a week.

Then 7.5 * 16 = $120 (1-day earning)

30 days: 120 * 30 = 840

$18 each day on lunch: 18 * 7 = $126

Remaining: 840 - 126 = $714

A quarter of $714: 714/4 = $178.5

(A) The expression will be:

4x = 714

(B) Money she put in her savings account each week:

4x = 714

x = 714/x

x = $178.5

Therefore, the answers to both subparts are shown:

(A) The expression is: 4x = 714

(B) Money she put in her savings account each week: $178.5

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Answer:

d = -9

Step-by-step explanation:

-2 - 9d = -10d - 9 (combine liked terms)

+2                    +2  (added two to each side)

-9d = -10d - 9  (combined liked terms again for d this time)

+10d   +10d

1d = -9   (isolate x so divde one from each side)

d = -9

Answer:

9x3.14=28.26

Step-by-step explanation:

1 3

3.14

x  9

28.26

multiply 4x9 Cary the 3 put the 3 above the 1 then multiply 1x9 the add the three then carry the 1 put it above the 3 the multiply 3x9 the you add you final total and bring the decimal doe to we’re it becomes 28.26

The volume of the parallelepiped is approximately 130.12 cubic units.

To create the parallelepiped, we need to find the vectors PiP3 and PiP5.

PiP3 = P3 - Pi = (5,1,0) - (0,0,0) = (5,1,0)

PiP5 = P5 - Pi = (1,0,5) - (0,0,0) = (1,0,5)

We can use the cross product of these two vectors to find the area of the base:

PiP3 x PiP5 = (5,1,0) x (1,0,5) = (-5,-25,1)

The magnitude of this cross product gives us the area of the base:

|PiP3 x PiP5| = √(5² + 25² + 1²) = √651

To find the volume of the parallelepiped, we need to multiply the area of the base by the height, which is the length of the PiP5 vector:

Volume = |PiP3 x PiP5| × |PiP5| = √651 × √26 = √16926 ≈ 130.12

Therefore, the volume of the parallelepiped is approximately 130.12 cubic units.

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Answer:

y=kx

y/x=kx/x (divided both side by x to find k)

k=y/x

k=27/3

k=9.

Answer:

Add 55 minutes to the time the class started to find out when the class ends

The mathematical phrase "e to the ipi" is composed of the imaginary unit i (the square root of -1 raised to the power of pi), which is symbolized by "pi," and the mathematical constant "e" (Euler's number).

The expression "e to the ipi" may be expressed as follows:

\(e^{(i*pi)}\)

The following formula is known as Euler's formula:

\(e^{(ipi)}\) = cos(pi) + isin(pi)

where "cos" and "sin" are the sine and cosine functions, respectively.

We may reduce this formula to using the cosine and sine trigonometric identities.

\(e^{(i*pi)}\) = -1

"e to the ipi" hence equals a negative one. This startling and outstanding finding ties together various crucial mathematical ideas, including calculus, complex numbers, and trigonometry.

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Answer:

x≈-0.0200335+2kπ/5

x≈-0.648352+2kπ/5

Step-by-step explanation:

sin(-5x)=0.1

-sin(5x)=0.1

sin(5x)=-0.1

sin(5x)=1/10

5x=arcsin(- 1/10)

5x=π-arcsin(- 1/10)

5x=π-arcsin(- 1/10)

5x=π-arcsin(- 1/10)+2kπ

5x=π-arcsin(- 1/10)+2kπ

x=arcsin (1/10)/5 + 2kπ/5

x=arcsin (1/10)/5 + 2kπ/5

x≈-0.0200335+2kπ/5

x≈-0.648352+2kπ/5

Answer: A. mean: 10, median: 8, mode: none

Step-by-step explanation:

Given : The number of patients treated at Dr. Jason's dentist office each day was recorded for seven days: 3, 8, 11, 22, 17, 5, 4.

First we arrange it order.

3, 4, 5, 8, 11, 17, 22

Mean = (Sum of observations) ÷ (Number of observations)

Number of observations = 7

Sum of observations = 3+4+5+8+11+17+22 =70

Mean = 70 ÷7 = 10

Median = Middle-most value

= 8

Mode = Most repeatted value

= none

Hence, the mean, median, and mode for this sample = A. mean: 10, median: 8, mode: none

Certainly! Let's consider an example with arbitrary numbers to illustrate the concept.

Let's assume Latoya's Coffee House has the following values:

Available ounces of grade A coffee: 100 ounces

Available ounces of grade B coffee: 80 ounces

Economy blend composition: 4 ounces of grade A coffee and 2 ounces of grade B coffee

Superior blend composition: 5 ounces of grade A coffee and 3 ounces of grade B coffee

Profit per economy blend package: $5

Profit per superior blend package: $7

Now, we can proceed to determine the number of packages of each blend that should be made to maximize the profit for the week.

Let's say Latoya's Coffee House produces 'x' packages of the economy blend and 'y' packages of the superior blend.

Profit for the economy blend: P_economy = 5 * x

Profit for the superior blend: P_superior = 7 * y

The total profit for the week, P_total, is given by:

P_total = P_economy + P_superior

P_total = 5x + 7y

We need to maximize P_total while considering the available ounces of grade A and grade B coffee.

The constraints are as follows:

4x + 5y ≤ 100 (Available ounces of grade A coffee)

2x + 3y ≤ 80 (Available ounces of grade B coffee)

Additionally, 'x' and 'y' should be non-negative since we cannot produce negative packages.

To solve this linear programming problem and find the optimal values for 'x' and 'y', we can use optimization techniques such as the simplex method or graphical methods.

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The markup on cost percentage for Hudson Bay's acquisition of sheets priced at MSRP 59.99 for 22.99 is 61.68%.

To calculate the markup on cost percentage, we can use the following formula:

Markup on Cost Percentage = ((Selling Price - Cost Price) / Cost Price) x 100

In this case, the cost price of the sheets is 22.99, and the selling price (MSRP) is 59.99. Plugging these values into the formula, we get:

Markup on Cost Percentage = ((59.99 - 22.99) / 22.99) x 100

Markup on Cost Percentage = (37 / 22.99) x 100

Markup on Cost Percentage = 1.6103 x 100

Markup on Cost Percentage = 61.68%

Therefore, Hudson Bay's markup on cost percentage for acquiring sheets priced at MSRP 59.99 for 22.99 is 61.68%.

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10 Nm is approximately equal to 1,019.69 tex. The unit "tex" is a measurement of linear density commonly used in the textile industry.

To convert 10 Nm (Newton meters) to tex, we need to determine the linear density of the material in grams per 1,000 meters.

The conversion formula is:

tex = (Nm * 1,000) / 9.81

Where Nm represents Newton meters and 9.81 is the approximate value of the acceleration due to gravity in m/s².

Let's calculate the conversion:

tex = (10 Nm * 1,000) / 9.81

tex ≈ 1,019.69 tex

Therefore, 10 Nm is approximately equal to 1,019.69 tex.

This means that if you have a material with a linear density of 1,019.69 tex, it would weigh approximately 1,019.69 grams per 1,000 meters of the material.

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Answer:

30.

Step-by-step explanation:

first term = a

3r term = ar^2

So here ar^2/ a  = r^2

r^2 = 5/180 = 1/36

r = 1/6

So missing term = 180 * 1/6 = 30.

Answer: 8 turns

Step-by-step explanation: 5 children at a time, so 5*8=40, which is the closest to 38

thank me the answer is x=3.6

The correct answer is 1. An equilibrium point, also known as a market-clearing price, is where the supply curve and demand curve intersect and the quantity supplied equals the quantity demanded.

This is the point where there is no excess supply or excess demand in the market, and the price is stable.

In economic theory, the concept of an equilibrium point is crucial in understanding the behavior of markets. When there is a surplus of supply or demand, the market will adjust to restore equilibrium. If the price is too high, the quantity supplied will increase and the quantity demanded will decrease until the equilibrium point is reached. If the price is too low, the quantity demanded will increase and the quantity supplied will decrease until the equilibrium point is reached. Therefore, understanding the equilibrium point is essential for making informed decisions about pricing, production, and investment in a market.

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Answer:

9 i think

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

Trust me bro

The relationship is not an inverse variation because the product xy is not a constant.

Inverse variation is the relationship between two quantities whereby an increase in one quantity cause a decrease in the other quantity.

In this type of variation the product of the two quantities is constant.

Analysis:

if x is one quantity and y is the other,

Mathematically, x = \(\frac{k}{y}\)

Where, k is a constant,

it means k = xy

from the table, when, x =2, y = 409, xy = 2 x 409 = 818

Also, x = 3, y = 240, xy = 3 x 240 = 720

Therefore, 720 not equal to 818.

In conclusion, The product xy is not a constant, so the relationship is not an inverse variation.

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Answer: 651+299=950

Explanation? Do you need one?

Answer:

999,960

Step-by-step explanation:

let x be a multiple of 120

120x ≤ 999,999

999,999 / 120 = 8333.325

8333 ≤ x ≤ 8334

8333(120) = 999,960

8334(1200) = 1,000,080  this is a 7-digit number

Therefore, the largest 6-digit number that is exactly divisible by 120 is 999,960