two hundred five thousandths in decimal numbers

The given linear programming problem min 1x + 1y s.t. 5x + 3y < 30, 3x + 4y > 36, y < 7 , x , y > 0 exhibits infeasibility.

When constraints are inconsistent and  it is not possible to satisfy all the given constraints simultaneously then  a feasible solution is not possible for the linear programming problem.

Hence the solution of such a linear programming problem is said to be infeasible.

An infeasible solution violates at least one of the constraints of the given linear programming problem.

Here, the second constraint, that is 33x + 44y > 36 violates the linear programming problem. Therefore, the given linear programming problem exhibits   infeasibility (or, infeasible solution).

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This means that for every additional month of membership, the total cost increases by $39.

The rate of change refers to the change in one variable with respect to a change in another variable. In this case, the rate of change refers to how the total cost changes with respect to the number of months of membership.

Given:

One-time sign-up fee: $20

Monthly membership fee: $39 per month

Let's denote the number of months of membership as "m" and the total cost as "C".

The total cost "C" can be expressed as:

C = 20 + 39m

To find the rate of change, we need to determine how the total cost changes with respect to the number of months, which is the derivative of the total cost function with respect to "m".

The derivative of C with respect to m is:

dC/dm = 39

Therefore, the rate of change of the total cost with respect to the number of months is constant at 39.

This means that for every additional month of membership, the total cost increases by $39.

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Step-by-step explanation:

the text that is formatted in bold and underlined fonts are the answers to the missing (blank) terms in the given problem.

Given that  \(\huge\sf{\overline{AB}}\) is a straight line, and that ∠AOE, ∠EOF, and ∠FOB share a common vertex, at point O, whose sum equals 180°.  

1. Statement:  m∠AOB = 180°

  Reason: Definition of a straight angle.

2. Statement:  m∠AOE + m∠EOF + m∠FOB = m∠AOB

   Reason: Angle Addition Postulate.

3. Statement:  x + (2x + 34) + 20° = 180°

   Reason: Substitution.

4. Statement:  x = 42°

   Reason: Algebra.

1)   Straight angles have a measure of 180°.

2)  The Angle Addition Postulate states that if O is in the interior of ∠AOB, then it means that the measure if ∠AOB is equal to the sum of the measures of ∠AOE, ∠EOF, and ∠FOB. In other words:

           ⇒   \(\huge\bf\sf{m\angle{AOB}\:=m\angle{AOE}\:+m\angle{EOF}\:+m\angle{FOB}}\)

3) and 4) Since the ∠AOB is a straight angle, then it means that the sum of the measures of ∠AOE, ∠EOF, and ∠FOB equal the measure of ∠AOB = 180°. Hence, in order to solve for the value of x, simply add the given values for each angle:

x° + (2x + 34)° + 20° = 180°

x° + 2x° + 34° + 20° = 180°

Combine like terms:

3x° + 54° = 180°

Subtract 54° from both sides:

3x° + 54° - 54° = 180° - 54°

3x° = 126°

Divide both sides by 3 to solve for x:

\(\huge\sf{\frac{3x^\circ}{3}\:=\:\frac{126^\circ}{3}}\)

x = 42°

Answer:

Midpoint formula: ((xA+xB)/2 , (yA+YB)/2)

(-1 + 3 )/2 , (-1  -7)/2

(2)/2 , (-8)/2

(1, -4)  

Midpoint: (1, -4)

Answer:

I think It's A. How many Goats Did She Sell?

Step-by-step explanation:

if she Sold Out of her goods To her dad. I am Thinking Of How many goats Are left.

The probability that the arrival time between vehicles is 12 seconds or less is approximately 0.573.

Given that the time between arrivals of vehicles at a particular intersection follows an exponential probability distribution with a mean of 14 seconds.

We know that the exponential probability distribution function is given by

f(x) = λ e^(-λx)

Where λ is the rate parameter of the distribution and is equal to 1/mean in this case. So, λ = 1/14.

Now, we need to find the probability that the arrival time between vehicles is 12 seconds or less. Mathematically, we can express this as:

P(X ≤ 12) = \(\int\limits^{12}_0\) λ e^(-λx) dx

Integrating this expression, we get:

P(X ≤ 12) = [-e^(-λx)]_[0,12] = -e^(-λ12) + e^(-λ0)

Since e^(-λ×0) is equal to 1, we have:

P(X ≤ 12) = 1 - e^(-λ×12)

Substituting the value of λ, we get:

P(X ≤ 12) = 1 - e^(-12/14)

P(X ≤ 12) ≈ 0.573

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The given question is incomplete, the complete question is:

The time between arrivals of vehicles at a particular intersection follows an exponential probability distribution with a mean of 14 seconds . What is the probability that the arrival time between vehicles is 12 seconds or less?

Answer:

x = 10

Step-by-step explanation:

45x - 15x = 300

Combine like terms

30x = 300

Divide each side by 30

30x/30 = 300/30

x = 10

The required slopes are:

(a) slope = 4

(b) slope = 6/7

(c) slope =  -3

(d) slope = 4

(e) slope = -5/2

We know that,

When a line passing through (x₁, y₁) and (x₂, y₂)

Then  the slope of the line be,

slope (m) = (y₂ - y₁) / (x₂ - x₁)

Using this formula, calculate the slope for each given points

a. (9, 10) and (7, 2)

⇒ slope (m) = (2 - 10) / (7 - 9)

                    = -8/-2 = 4

So, the slope is 4.

b. (-8, -11) and (-1, -5)

⇒ slope (m) = (-5 - (-11)) / (-1 - (-8))

                    = 6/7

So, the slope is 6/7.

c. (5, -6) and (2, 3)

⇒ slope (m) = (3 - (-6)) / (2 - 5)

                    = 9/-3

                    = -3

So, the slope is -3.

d. (6, 3) and (5, -1)

⇒ slope (m) = (-1 - 3) / (5 - 6)

                    = -4/-1

                    = 4

So, the slope is 4.

e. (4, 7) and (6, 2)

⇒ slope (m) = (2 - 7) / (6 - 4)

                    = -5/2

So, the slope is -5/2.

Therefore, the slope of the line that joins (-8, -11) and (-1, -5) is 6/7.

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The fundamental question addressed by the correlational method is whether two or more variables are related in some systematic way. So the correct option is D.

Correlational method is a research technique used to explore the relationship between two or more variables. In this method, researchers collect data on the variables of interest and analyze their patterns of association. The fundamental question addressed by the correlational method is whether two or more variables are related in some systematic way. This means that researchers are interested in exploring whether changes in one variable are associated with changes in another variable.

For instance, a researcher may be interested in exploring the relationship between stress and job performance. The researcher may collect data on the levels of stress and job performance in a sample of employees and then use statistical analysis to determine if there is a systematic relationship between the two variables. If the results show that higher levels of stress are associated with lower levels of job performance, then the researcher can conclude that there is a negative correlation between the two variables.

It is important to note that correlation does not imply causation. While a correlation between two variables indicates that they are related, it does not necessarily mean that changes in one variable are causing changes in the other variable. Therefore, researchers must be cautious when interpreting correlational data and should consider other factors that may be influencing the relationship between variables.

Therefore, the fundamental question addressed by the correlational method is whether two or more variables are related in some systematic way, and researchers must be cautious when interpreting correlational data and should consider other factors that may be influencing the relationship between variables.

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The type of statistical testing likely to be used for a test of controls is attribute sampling. This type of sampling is used to test the effectiveness of controls by measuring the proportion of items that meet a certain criteria or attribute.

It is commonly used in audits to determine if internal controls are operating effectively. The auditor selects a sample of items and examines them to determine if they meet the established criteria. The results of the sample are then projected to the entire population. Attribute sampling is preferred over other methods such as monetary-unit sampling or classical variables sampling when the focus is on testing controls rather than testing for errors in financial statements.

The type of statistical testing likely to be used for a test of controls is attribute sampling. Attribute sampling is a technique that focuses on evaluating the presence or absence of certain characteristics (attributes) in a population, such as whether controls are functioning effectively or not.

This method is suitable for assessing controls as it helps auditors determine the rate of control deviations, which can then be used to evaluate the reliability of internal controls within a process or system. The other methods mentioned, such as monetary-unit sampling and classical variables sampling, are more commonly used for substantive testing of financial data.

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The equation y = x^2 + 5x - 6 can be factored as y = (x - 1)(x + 6). The x-intercepts of the equation are (1, 0) and (-6, 0).

To convert the equation y = x^2 + 5x - 6 to factored form, we factor the quadratic expression. The factored form is y = (x - 1)(x + 6).

To identify the x-intercepts, we set y = 0 and solve for x. Setting each factor equal to zero gives us x - 1 = 0, which leads to x = 1, and x + 6 = 0, which gives x = -6.

Therefore, the x-intercepts of the equation y = x^2 + 5x - 6 are (1, 0) and (-6, 0).

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Answer:

c

Step-by-step explanation:

The slope of the graph is -2/3 is true.

The slope of the line is the ratio of the rise to the run, or rise divided by the run. It describes the steepness of line in the coordinate plane.

The slope intercept form of a line is y=mx+b, where m is slope and b is the y intercept.

The slope of line passing through two points (x₁, y₁) and (x₂, y₂) is

m=y₂-y₁/x₂-x₁.

The graph of linear function g passes through the points (3, 7) and (9, 3).

We need to find which statement is true from options.

Slope=3-7/9-3

=-4/6

=-2/3

The slope intercept form 7=-2/3(3)+b

7=-6/3+b

7=-2+b

b=9

Hence, the slope of the graph is -2/3 is true.

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Answer:

⁶/11

Step-by-step explanation:

total marbles = 4+6+1

=11

blue marble/total marbles : ⁶/11

Answer:

HJ = LK

HI=MK

JI=ML

ML=6 units

Hope this helps!

Answer:

Step-by-step explanation:

Answer:

Each small ice sculpture costs $79 and each large one costs $134

Step-by-step explanation:

3 small + 4 large = $773

2 small + 4 large = $694

3 - 2 = 1

$773 - $694 = $79

So one small = $79

$79 x 3 = $237

$773 - $237 = $536

$536 / 4 = $134

So one large = $134

Answer:

Step-by-step explanation:

Let's say L for 'Large ice sculpture' and S for 'Small ice sculpture'.

We know that:

Work:

       2S + 4L = 694

This means that one small ice sculpture will cost $79. Let's substitute the value of S into the first equation to find out the value of L.

Hence, the cost of a small ice sculpture is $79 and the cost of a large ice sculpture is $134.

Hoped this helped.

\(BrainiacUser1357\)

He is opening a dialog box to access a second workbook by pressing F12 and then clicking tool box.

A dialog box is a temporary window an application creates to retrieve user input. An application typically uses dialog boxes to prompt the user for additional information for menu items.It (also spelled dialogue box, also called a dialog) is a common type of window in the GUI of an operating system. The dialog box displays additional information, and asks a user for input. For example, when you are using a program and you want to open a file, you interact with the "File Open" dialog box.

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Given the equation

We can rewrite it as:

• It is a proportional equation.

• The constant of proportionality, k=5

a) P(X<49) = 0.0000 (probability that the sample mean is less than 49) b) P(49<X<50.5) = 0.3243 (probability that the sample mean is between 49 and 50.5) d) X = 51.13 (value above which there is a 40% chance that the sample mean is)

To find the probability values, we need to use the properties of the sampling distribution of the sample mean. Given a normal distribution with a mean (μ) of 50 and a standard deviation (σ) of 4, and a sample size (n) of 100, we can calculate the probabilities as follows:

a) To find the probability that the sample mean is less than 49, we can standardize the value using the formula z = (X - μ) / (σ / sqrt(n)). Substituting the values, we have z = (49 - 50) / (4 / sqrt(100)) = -2.5. Looking up the z-score in the standard normal distribution table, we find that the probability is approximately 0.0000.

b) To find the probability that the sample mean is between 49 and 50.5, we can calculate the z-scores for both values: z1 = (49 - 50) / (4 / sqrt(100)) = -2.5 and z2 = (50.5 - 50) / (4 / sqrt(100)) = 1.25. By finding the area under the standard normal curve between these two z-scores, we obtain the probability of approximately 0.3243.

d) To find the value above which there is a 40% chance that the sample mean is, we need to find the corresponding z-score. Using the inverse of the cumulative distribution function (CDF) of the standard normal distribution, we find that the z-score for a 40% probability is approximately 0.253. Now we can solve for X in the formula z = (X - μ) / (σ / sqrt(n)), which gives us X = z * (σ / sqrt(n)) + μ = 0.253 * (4 / sqrt(100)) + 50 = 51.13.

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Answer:

4.5 hours

Step-by-step explanation:

To answer this, we shall be using a diagrammatic representation.

Now, let the time taken for them to be 54 miles apart be x hours

Mathematically, distance = speed * time

For the north bound boat, it would be 4 * x miles away = 4x miles away from the starting point

For the south bound boat, it would have travelled a distance of 8 * x = 8x miles

Now the distance between both is 54 miles ; this means that by adding the distance traveled by both, we shall have a total length of 54 ;

Thus mathematically;

4x + 8x = 54

12x = 54

x = 54/12 = 4.5 hours

The limit, if it exists, or show that the limit does not exist is to be found using the function Lim(x,y,z) → (0,0,0) xy+yz+xz / x²+y²+z².

The given function can be simplified as shown below: xy+yz+xz / x²+y²+z²= x(y+z)/x²+y²+z²+ y(x+z)/x²+y²+z²+ z(x+y)/x²+y²+z²

Now, we'll use the squeeze theorem to find the limit:

0 ≤ |x(y+z)/x²+y²+z²| ≤ |x|/√(x²+y²+z²) (since |y+z| ≤ |y|+|z| ≤ √(y²+z²+2yz))

Similarly, 0 ≤ |y(x+z)/x²+y²+z²| ≤ |y|/√(x²+y²+z²) and 0 ≤ |z(x+y)/x²+y²+z²| ≤ |z|/√(x²+y²+z²)

So, we have: 0 ≤ |xy+yz+xz|/x²+y²+z² ≤ (√(x²+y²+z²)/√(x²+y²+z²)) (|x|+|y|+|z|)0 ≤ |xy+yz+xz|/x²+y²+z² ≤ (|x|+|y|+|z|)

And now we'll apply the squeeze theorem.

Let L = lim(x,y,z) → (0,0,0) xy+yz+xz / x²+y²+z²

Thus,0 ≤ |xy+yz+xz|/x²+y²+z² ≤ (|x|+|y|+|z|) → 0 as (x,y,z) → (0,0,0)

Therefore, by squeeze theorem, lim(x,y,z) → (0,0,0) xy+yz+xz / x²+y²+z² = 0

Hence, the given limit exists and is equal to 0.

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Answer: 5.22

Step-by-step explanation:

The apothem = 87 cm = 0.87 m.

Using the formula \(A=\frac{1}{2}ap\) to find the area of the base, where a is the apothem and p is the perimeter, we get \(A=\frac{1}{2}(0.87)(6)=2.61\)

So, using the formula \(V=Bh\), we get the volume to be \(2.61(2)=5.22 \text{ m}^{3}\)

The Area of Trapezium is 50, 267 mm².

We have,

base 1 = 224 mm

base 2 = 77 mm

Height = 334 mm

Now, Area of Trapezium

= 1/2 (Sum of parallel side) x height

= 1/2 (224 + 77) x 334

= 1/2 x 301 x 334

= 50, 267 mm²

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The scalar equation of a plane is in the form Ax + By + Cz + D = 0, where A, B, C are the coefficients of x, y, z, and D is a constant.

Given the point (5,0,2) and the normal vector n = (3,2,-2), we can use the point-normal form of a plane equation. The scalar equation of the plane is 3x + 2y - 2z - D = 0, where D is determined by substituting the coordinates of the point into the equation.

To find the scalar equation of the plane passing through points Q(2,3,-1), R(-1,5,2), and S(-4,-2,2), we can use the cross product of two vectors formed by subtracting one point from another. The resulting vector is the normal vector to the plane. Then, we use the point-normal form to obtain the scalar equation.

For the plane containing the point (3,-2,4) and perpendicular to the line with vector equation r = (1,-1,-2) + t(2,-3,1), we can take the direction vector of the line as the normal vector of the plane. Using the point-normal form, we can calculate the scalar equation of the plane.

To find the scalar equation of the plane with vector equation r = (3,-1,4) + s(2,-1,5) + t(-3,2,-2), we can calculate the normal vector of the plane by taking the cross product of the two direction vectors in the vector equation. Using the point-normal form, we can determine the scalar equation.

To determine if the point (-1,-1,0) lies in the plane with the equation 2x + 3y - 4z + 5 = 0, we substitute the coordinates of the point into the equation. If the equation holds true, the point lies on the plane; otherwise, it does not.

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Answer:

lily - 5

5+8= 13

James - 13

13+5= 18

18-75= 57

Michael - 57

Answer:

17.736003269309%

Step-by-step explanation:

Answer:

3. This would be third person view

4. Tyrone's mother and Tyrone himself

Step-by-step explanation:

3. Explanation: "Tyrone will be so surprised," she thought. "He has no

idea that we have a puppy waiting for him at Grandma's

house." This is third person view because it says "thought" and whilst it is her view point, Tyrone wondered to himself - Tyrone saw his mother smiling to herself and wondered what she was thinking.- therefore, causing it to be third person point of view.