Management Development and Consultancy Bureau (MDCB) conducted research on the daily expenses of civil servants traveling to various cities throughout the world. In particular, MDCB published appropriate per diem totals, which represent the average costs for the typical civil servant at the management level including three meals a day in business-class restaurants and single-rate lodging in business-class hotels. If 86.65% of the per diem costs in Nairobi, Kenya, are less than $449, and if the standard deviation of per diem costs is $36, what is the average per diem cost in Nairobi?

The values of the parallelogram in the figure are a = 5, x = 9 and y = 3

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

The shape is a parallelogram

By the congruence of opposite sides, this means that

2x + 25 = 4x + 7

Evaluate the like terms

2x = 18

Divide by 2

x = 9

By the congruence of opposite sides, this means that

10y + 4 = 7y + 13

Evaluate the like terms

3y = 9

Divide by 3

y = 3

Also, we have

2 * (a + 12) = 4a - 6

So, we have

2a + 24 = 4a - 6

Evaluate the like terms

6a = 30

Divide

a = 5

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The answer is neither A nor B for the following definite integral.The definite integral is the difference between the values of the antiderivative evaluated at the limits of integration.

The antiderivative of tet(i-j-5k) with respect to t is not a standard mathematical function, and its exact form cannot be determined without more information about the function tet(i-j-5k). The indefinite integral is represented by an arbitrary constant "c". The definite integral is the difference between the values of the antiderivative evaluated at the limits of integration, and the value of the definite integral can only be found if the limits of integration are known. Therefore, the answer is neither A nor B.

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the daily number of absences at high school a in the state is approximately bormally distributed with mean 122 students and standard deviation of 11.5 students.

if more than 140 students are absent on the day the attendance count is taken for funding purposes ,

the school will lose some of its state funding in the subsequent year

We are to obtain the standard deviation of the given values :

{24, 18, 31,25, 34}

The standard deviation = √(Σ(x - mean)²/ n)

The mean = (ΣX) /n

Using calculator to save computation time :

The standard deviation, s = 6.27 (2 decimal places)

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The Transformation is graph of f is translated 3 units up and 7 units to the right.

A point, line, or geometric figure can be transformed in one of four ways, each of which affects the shape and/or location of the object. Pre-Image refers to the object's initial shape, and Image, after transformation, refers to the object's ultimate shape and location.

Given: y=f(x-7) + 3.

As, from the Rule the f(x, y) --> f(x-c, y) shows the horizontal shift on right side.

So, the function is shifted 7 units to the right.

Now, the rule f(x)--> f(x) + c shows the vertical translation up by c units.

So, the function is translated 3 units up.

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Relative value is the opposite of absolute value. while absolute cost examines the cost of an asset or organisation with out evaluating it to any others, relative fee is primarily based on the value of similar assets or businesses.

Relative value is a technique of determining an asset's worth that takes into account the value of similar belongings. that is in contrast with absolute price, which seems most effective at an asset's intrinsic value and does not evaluate it to other assets. Absolute change refers to the easy difference inside the indicator over two intervals in time, i.e. Relative change expresses the absolute exchange as a percentage of the price of the indicator in the earlier length.  A relative maximum or minimum happens at turning factors at the curve wherein because the absolute minimal and most are the proper values over the entire area of the function. In different words the absolute minimum and most are bounded by means of the area of the function.

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The equation 1 ≠ 2 is true because 1 and 2 do not have the same value

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

The above statements are true

However, when both sides of the equation are multiplied by 0, we have

0 * 0/1 = 0 * 0/2

Evaluate

0 = 0

The result is 0 = 0 and not 1 = 2

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Correct option is B, Each box weighs 1/2 pounds.

The pound is a unit of weight that is equivalent to 16 ounces, 7,000 grains (or 0.45359237 kg) in avoirdupois and 12 ounces, 5,760 grains (or 0.3732417216 kg) in troy and apothecaries' weight. The abbreviation lb comes from the Latin word libra, which was the origin of the contemporary pound.

a weight measurement scale: The weight of one pound is about equal to 454 grams. A kilogram is equivalent to around 2.2 pounds. One pound contains 16 ounces.

From the Latin word "poundus," which means "weight," comes its name. The elaborate L in Libra is where the £ sign originated. The pound, which represented one pound of silver weight, was a monetary unit in Anglo-Saxon England as early as 775 AD.

As per shown in graph,

Corresponding to 1 on x - axis,

the total pounds on 1 box is 1/2 on y - axis.

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The slope of the line is 1/3.

Slope of a line is the ratio of the change in y coordinates to the change in the x coordinates of two points given.

Slope can also be defined as the tangent of the angle that the line is making with the positive X axis.

Slope of a line passing through (x, y) and (x', y') is given by,

Slope = (y' - y) / (x' - x)

Consider the points on the given line.

The line passes through (0, 2) and (3, 3).

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

         = 1/3

Hence the slope of the given line is 1/3.

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Answer:

I don't know sorry :((

Step-by-step explanation:

share in other part :(

In order to prove that more tv time causes bad grades we would need to do a controlled Experiment.

The correlation between time spent watching television and grades in school suggests a relationship between the two variables, but it does not necessarily prove causality. In order to establish a causal relationship between the two variables, it is necessary to conduct a controlled experiment.

In a controlled experiment, the independent variable (in this case, TV time) is manipulated, while the dependent variable (grades in school) is measured. By controlling for other possible factors that may affect grades, such as study habits, home environment, and socio-economic status, it is possible to determine whether changes in TV time directly impact grades in school. This would provide stronger evidence for a causal relationship between the two variables.

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The domain of the given function would be -

- 5 ≤ x < 3.

An function in mathematics defines a relationship between one variable (the independent variable {x})  and another variable (the dependent variable {y}). Example → y = f{x} = ax + b.

Given is the graph of the linear equation as shown in the image.

Domain represents the set of values along the {x} - axis.

So, we can write -

- 5 ≤ x < 3

Therefore, the domain of the given function would be -

- 5 ≤ x < 3.

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The cost per square inches of the circular pie is C = $ 0.164

A circle is a closed two-dimensional figure in which the set of all the points in the plane is equidistant from a given point called “center”. Every line that passes through the circle forms the line of reflection symmetry. Also, the circle has rotational symmetry around the center for every angle

The circumference of circle = 2πr

The area of the circle = πr²

where r is the radius of the circle

The standard form of a circle is

( x - h )² + ( y - k )² = r²,

where r is the radius of the circle and (h,k) is the center of the circle.

Given data ,

Let the cost per square inch of the apple pie be C

Let the area of the circle be represented as A

Now , the diameter of the circle is d = 10 inches

So , the radius of the circle r = d/2 = 5 inches

And , area of the circle = πr²

Substituting the values in the equation , we get

Area of Circle A = π x ( 5 )²

Area of Circle A = 78.5398 inches²

The cost of the apple pie = $ 12.85

Now , the cost for 78.5398 inches² of apple pie = $ 12.85

So , the cost for 1 inches² of pie C = 12.85 / 78.5398

On simplifying the equation , we get

The cost per square inches C = $ 0.164

Hence , the cost per square inches is $ 0.164

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Answer: would be 0.16th

hope this helped :)

To determine whether the vector field f(x,y) = (6x + 5y)i + (x - 2y)j is conservative, we must first calculate its curl. The curl of the vector field is the vector field given by the equation:

curl(f(x,y)) = (5 - 2)i + (1 + 6)j = 3i + 7j

Since the curl of the vector field is equal to zero, this means that the vector field is conservative.

To find the potential function for this vector field, we need to calculate the line integral of the vector field along any closed path. In other words, we need to calculate the following integral:

V(x,y) = ∫C f(x,y) ⋅ ds

Where C is any closed path. We can solve this integral using the fundamental theorem of calculus, which states that the line integral of a conservative vector field is equal to the difference between the potential function evaluated at the two end points of the path.

Thus, we can solve for the potential function by finding the value of the potential function at two points and taking the difference of these values. For example, we can choose the points (0,0) and (1,1). At (0,0), the potential function is 0, and at (1,1), the potential function is 3 + 5 + (-2) + 1 = 7. Thus, the potential function is V(x,y) = 3x^2 + xy + 2y^2.

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The flag have four lines of symmetry.

A coordinate system is a system that uses one or more numbers, or coordinates, to uniquely determine the position of the points or other geometric elements on a manifold such as Euclidean space.

A line of symmetry is the line that divides a shape or an object into two equal and symmetrical parts.

The given flag has four lines of symmetry.

We can cut the flag in to half by horizonal way.

In the vertical way.

and we can make the flag to half by diagonal way in two ways.

Hence, the flag have four lines of symmetry.

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The events with a probability of 1/2 regarding the letters of the word August are given as follows:

A probability is obtained by the division of the number of desired outcomes by the number of total outcomes in the context of a problem.

For the six letters in the word August, we have that:

Hence each event has a probability of 1/2, which is the desired probability for this problem.

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The range of f(x) = |x - 3| + 2 is calculated to be y ≥ 2

In geometry range refers to all the possible values of the y coordinate

using the equation f(x) = |x - 3| + 2 and plotting the values shows that the range of f(x) = |x - 3| + 2 is [2, ∞),

this means that it includes all values greater than or equal to 2, but not 2 itself.

This can be visualized on a number line as all values to the right of 2, extending towards positive infinity.

The plot is attached

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Statistical methods are the processes of collecting, presenting, analyzing data, and drawing conclusions.

These methods are divided into two groups: descriptive statistics and inferential statistics.

The scope of descriptive statistics includes distributions of random and random variables, discrete and continuous random variables. For inference statistics, including statistical inference from one or two populations, analysis of variance, regression analysis, and analysis of categorical data from both random and normal populations.

Statistical techniques include many ways to collect, present, analyze, and draw conclusions from data. By considering these methods, you can choose which method to use according to the characteristics of your data.

Choosing the right method leads to drawing the right conclusions.

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The final solution for the initial value problem: y = −e∫x dx√40 − ∫x2e∫x dx − ∫y2e∫x dx.

The given initial value problem is yy′+x=x2+y2 with y(3) = −√40. To solve this we make the substitution U = u' and u = y. This transforms the given equation into the linear differential equation in x, u, and u': u'+xu=x2+u2. To solve this, we can use the integrating factor method. Multiplying both sides by the integrating factor e∫x dx gives us u'e∫x dx + xue∫x dx = x2e∫x dx + u2e∫x dx. Taking the integral of both sides, we obtain ue∫x dx = ∫x2e∫x dx + ∫u2e∫x dx + c, where c is the constant of integration. Solving for u, we have u = c/e∫x dx − ∫x2e∫x dx − ∫u2e∫x dx. Using the fact that u = y, we can substitute this expression into the equation to obtain the solution in terms of x and y: y = (c/e∫x dx) − ∫x2e∫x dx − ∫y2e∫x dx. Using the initial condition y(3) = −√40, we can solve for c to get c = −e∫3 dx√40. Substituting this into the solution, we get the final solution for the initial value problem: y = −e∫x dx√40 − ∫x2e∫x dx − ∫y2e∫x dx.

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The number of 1/4 bottles is 11

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

Size of bottles = 1/4

Volume of container = 2.750 liters

The nuber of bottles is then calculated as

Bottles = Volume of container/Size of bottles

Substitute the known values in the above equation, so, we have the following representation

Bottles = 2.750/(1/4)

Evaluate the quotient

Bottles = 11

Hence, the number of bottles is 11

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Answer:

[tex]p=\frac{15}{24}[/tex]

Step-by-step explanation:

Answer:

[tex]4\frac{1}{12}[/tex] yards

Step-by-step explanation:

[tex]\frac{43}{4} -\frac{20}{3} \\\frac{129}{12} -\frac{80}{12} \\=\frac{49}{12} \\= 4\frac{1}{12}[/tex]

The volume of the pyramid is 554.3 inches cube.

A hexagonal pyramid is a 3D design in which the base is hexagonal and the faces or sides are isosceles triangles, which come together to form the hexagonal pyramid at the summit of the pyramid. A hexagonal pyramid has six sides on the base and six isosceles triangles on the sides. Heptahedron is another name for a hexagonal pyramid. There are 7 faces, 12 edges, and 7 vertices in a hexagonal pyramid.

We have a side of a regular hexagon  is 8 inches, and the height of the pyramid is 10 inches

The volume of the pyramid whose base is a hexagon

[tex]Volume=\frac{\sqrt3}{2}b^2h\\\\Volume =0.866*10*8*8\\= 554.3[/tex]

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Answer:

half of 20 is 1010

Step-by-step explanation:

half of 20 is 1010 is your new radius so10^2 = 100100 x 3.14 = 314Now we multiply by the height:314 x 11 = 3,454 cm^3

The simplified form is q⁹rs⁶t

Index forms are simply described as a method of writing numbers that are too large or small in more concise forms.

The other names for index forms are scientific notation and standard forms.

There are rules for index forms, some of them are;

From the information given, we have that;

qr^0s^5t^0 x q^8rst

Note that any number raised to zero is 1, then we have;

qs⁵ × q⁸rst

Now, add the exponents of the like bases

q⁹rs⁶t

Hence, the value is q⁹rs⁶t

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Answer:

Option A will have the least amount of interest because simple interest generates earnings from principal only.

Step-by-step explanation:

got it right :D

Answer:

hi !!

Step-by-step explanation:

first the domain of f(x) : 2*-1 -1 < 2x-1 < 2*4 -1 = -3 <2x-1 < 7

now the domain of g(x) : 4/(3-2) < 4/(x-2) < 4/(5-2) = 1.3 < 4/(x-2) < 4

now h(x) = -3 - 1.3 <f(x) - g(x) < 7-4 = - 4.3 < f(x) - g(x) < 3

it is the answer e : None of the Above

The rough calculation yields a amount of $900

If you carry a balance on your credit card, the card company will multiply it each day by a daily interest rate and add that to what you owe. The daily rate is your annual interest rate (the APR) divided by 365. For example, if your card has an APR of 16%, the daily rate would be 0.044%.

Given here: price of brakes =$756.25 and annual rate on credit card is 24.25%

Thus the if installment is $100 then It will take 9 months to payoff the balance. The total interest is $73.54.

Hence, The rough calculation yields a amount of $900

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Answer:

830.52

Step-by-step explanation:

got it right on test..

The domain of a function is the set of its possible inputs. it means that  the set of input values  for which the function is defined.

The domain of Function A is the set of real numbers.

The domain of Function B is the set of real numbers greater than or equal to zero.

Here, function A is given that,  

Since, above function can take any value as its input.

That is function is defined for every value of x.

Therefore, The domain of Function A is the set of real numbers.

Here, graph of function B is attached.

From graph of function B, it is observed that graph of function is right side of Y - axis and starting from x = 0.  It means that function B can take any value greater than equal to zero.

Therefore, The domain of Function B is the set of real numbers greater than or equal to zero.

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-√12 i is the complex conjugate of the complex number√-12

A complex number is an element of a number system that extends the real numbers with a specific element denoted i, called the imaginary unit.

A conjugate of a complex number is another complex number which has the same real part as the original complex number and the imaginary part has the same magnitude but opposite sign.

It's important to remember that i²=-1

This means we can rewrite

√-12 as √12i² =√12i

For complex number z=x+iy the conjugate of complex number is z=x-iy

We have z=√-12 so conjugate is -√12 i

Hence, -√12 i is the complex conjugate of the complex number

√-12

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The scatterplot shows a linear relationship between left and right forearm lengths in cm, for 55 college students.

The regression line is the best fit line that describes the relationship between the two variables. The formula for a linear regression line is  y = mx + b, where m is the slope of the line and b is the y-intercept. The slope of the line in the scatterplot is 0.95, which indicates that for every 1 cm increase in the left arm, there is a 0.95 cm increase in the right arm. The y-intercept of the regression line is 8.4, meaning that when the left arm is 0, the right arm is 8.4 cm long. The equation for the regression line in the scatterplot is y = 0.95x + 8.4. This equation can be used to predict the right arm length for any given left arm length.

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