The numbers 0,1,1,1,2,k,m,6,9,9, are in order (k is not equal to m).Their median is 2.5

and their mean is 3.6.

a. Find the value of k.

The compensating variation is $13.52.

The compensating variation is the amount of money that Greg would need to be compensated for a price increase in order to maintain his original level of utility. In this case, Greg's utility function is u = x^0.38x^0.962. His income is $83.00, and he faces these prices: (P1, P2) = (4.00, 1.00). If the price of x increases by $1.00, then the new prices are (P1, P2) = (5.00, 1.00).

To calculate the compensating variation, we can use the following formula:

CV = u(x1, x2) - u(x1', x2')

where u(x1, x2) is Greg's original level of utility, u(x1', x2') is Greg's new level of utility after the price increase, and CV is the compensating variation.

We can find u(x1, x2) using the following steps:

Set x1 = 83 / 4 = 20.75.

Set x2 = 83 - 20.75 = 62.25.

Substitute x1 and x2 into the utility function to get u(x1, x2) = 22.13.

We can find u(x1', x2') using the following steps:

Set x1' = 83 / 5 = 16.60.

Set x2' = 83 - 16.60 = 66.40.

Substitute x1' and x2' into the utility function to get u(x1', x2') = 21.62.

Therefore, the compensating variation is CV = 22.13 - 21.62 = $1.51.

To two decimal places, the compensating variation is $13.52.

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The radius of table can be 13 inches or 73 inches.

Let r inches be the table's radius.

Make the corner the starting point or origin.

the coordinates for the table's center are as follows: (r, r).

So  \((x-r)^{2} +(y-r)^{2}=r^{2}\)  is the equation for the table's diameter.

The distance between the mark at the table's edge and one wall is 18 inches and 25 inches, respectively. Consequently, this point's coordinates are (18, 25). It might alternatively be (25, 18), but our calculations would not be affected.

Given that the mark is on the edge, it satisfies the criteria established by the table's circumference equation.

\((18-r)^{2} +(25-r)^{2} =x^{2}\)

\(324-36r+r^{2} +625-50r+x^{2} =x^{2}\)

\(r^{2} -86r+949=0\)

(r−13)(r−73)=0

r=13 inches or r=73 inches

As a result, the table's radius can be either 13 inches or 73 inches.

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Answer: 125 degrees

Step-by-step explanation:

71% subtracted from 100% is 29%

Add or subtract the given percent from 100%.

71%

The percentage (p) is given as:

p = 71%

When subtracted from 100%, we have:

100% - p

Substitute p = 71%

100% - 71%

71 subtracted from 100 is 29.

So, we have:

100% - 71% = 29%

Hence, 71% subtracted from 100% is 29%

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Answer: No Triangle: 30 , 85 , 60, and 2, 8, 10

One Triangle: 7, 24, 25

Many Triangles: 45, 45, 90           5, 15, 160

The probability that both marbles are yellow marbles is 1/25

The given parameters are:

Yellow = 2

Total = 10

The probability of selecting the first yellow marble :

P(Yellow) = 2/10

When the marble is returned, we have:

Yellow = 2

Total = 10

The probability of selecting the second yellow marble :

P(Yellow) = 2/10

The required probability is:

P =  2/10 * 2/10

Evaluate

P = 4/100

Simplify

P = 1/25

Hence, the probability that both marbles are yellow marbles is 1/25

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A and B have the same elements, the measure of AUB will be equal to the measure of B.

To show that if m*(A) = 0, then m*(AUB) = m*(B), we need to prove the following:
1. If m*(A) = 0, then A is a null set.
2. If A is a null set, then AUB = B.
3. If AUB = B, then m*(AUB) = m*(B).
Let's break down each step:
1. If m*(A) = 0, then A is a null set:
  - By definition, a null set has a measure of 0.
  - Since m*(A) = 0, it implies that A has no elements or its measure is 0.
  - Therefore, A is a null set.
2. If A is a null set, then AUB = B:
  - Since A is a null set, it means that it has no elements or its measure is 0.
  - In set theory, the union of a null set (A) with any set (B) results in B.
  - Therefore, AUB = B.
3. If AUB = B, then m*(AUB) = m*(B):
  - Since AUB = B, it implies that both sets have the same elements.
  - The measure of a set is defined as the sum of the measures of its individual elements.
  - Since A and B have the same elements, the measure of AUB will be equal to the measure of B.
  - Therefore, m*(AUB) = m*(B).
By proving these three steps, we have shown that if m*(A) = 0, then m*(AUB) = m*(B).

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There have been numerous cases of athletes being accused of using performance-enhancing drugs, and the numbers may vary depending on the sport, country, and time period in question.

Additionally, determining how many athletes were using or not using performance-enhancing drugs would require specific information on individual cases.

Regarding the percentage of athletes falsely accused of using performance-enhancing drugs, it is difficult to determine an accurate figure without examining each case in detail. False accusations may occur due to various reasons, such as flawed testing procedures or contaminated supplements, and the percentage of false accusations may vary depending on the situation.

If you have a specific case or sport in mind, I can try to provide you with more information on that topic.

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Answer:

The answer for this mathematical problem is 119/3.

Step-by-step explanation:

Your alternative answers are the following:

Hope this helps and if you could mark me as brainliest. Thanks!

Answer:

84.6666666667

Step-by-step explanation:

The first quartile of the data set is 48.

Here is a list of 27 scores on a Statistics midterm exam: 20, 30, 31, 32, 46, 48, 49, 52, 54, 59, 61, 69, 71, 73, 74, 79, 81, 81, 81, 85, 86, 87, 88, 91, 94, 96, 97. Find Q2 and Q1.The median is the middle number of a data set arranged in ascending or descending order. There are 27 numbers in this data set. As a result, the median will be the 14th value when sorted in ascending order. The data set is given in ascending order. As a result, the median of the data set is 81. To find the first quartile or Q1 of this data set, the formula below will be used: Q1 = (n+1)/4th term Q1 = (27+1)/4th termQ1 = 7th terTo find the 7th term, the data set must be arranged in ascending order. The 7th term of the data set is 48.Therefore, the first quartile of the data set is 48.

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The profit shows in retained earning can be used for reinvestment into the company

There are many measures and uses of earnings. Some analysts like to calculate earnings before taxes (EBT), also known as pre-tax income. Some analysts prefer to see earnings before interest and taxes (EBIT). Still, other analysts, mainly in industries with a high level of fixed assets, prefer to see earnings before interest, taxes, depreciation, and amortization, also known as EBITDA.

Earnings that deviate from the expectations of the analysts that follow that stock can have a great impact on the stock's price, at least in the short term. For instance, if analysts on average estimate that earnings will be $1 per share and they come in at $0.80 per share, the price of the stock is likely to fall on that "earnings miss."

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Answer:

3x^3 +13x^2 - 36x + 10.

Step-by-step explanation:

Area = length * width

= (3x - 5)(x^2 + 6x - 2)

= 3x(x^2 + 6x - 2) - 5)(x^2 + 6x - 2)

= 3x^3 + 18x^2 - 6x - 5x^2 - 30x + 10

=  3x^3 + 13x^2 - 36x + 10.

First convert all th fractions into decimal :

3/7 =0.428

7/16=0.4375

0.43=remain same (already given in decimal form)

43.8%=0.438

now arrange them in one row (horizontally) then it will be easy to arrange it.

0.428 , 0.4375 , 0.43 ,0.438

=0.428 , 0.43, 0.4375 ,0.438

= ans) 3/7, 0.43, 7/16, 43.8%

Answer:

x = -8

Step-by-step explanation:

5x - 4 + 7x = 5(2x - 4)

12x - 4 = 10x - 20

    +20          +20

12x + 16 = 10x

-12x          -12x

16 = -2x

divide by -2

x = -8

Answer:

x = -8

Step-by-step explanation:

5x - 4 + 7x = 5(2x - 4)

12x - 4 = 10x - 20

   +20          +20

12x + 16 = 10x

-12x          -12x

16 = -2x

divide by -2

x = -8

Answer:

$0.06

Step-by-step explanation:

90 cents for 15 slices is .90/15 which is .06 or 6 cents

All three components of the fire triangle are usually present whenever and wherever surgery is performed. The fire triangle consists of three elements: fuel, heat, and oxygen.

In the context of surgery, nitrous oxide can be considered as a source of the fuel component of the fire triangle. Nitrous oxide is commonly used as an anesthetic in surgery, and it is highly flammable. It can act as a fuel for fire if it comes into contact with a source of ignition, such as sparks or open flames.

Therefore, it is important for healthcare professionals to be aware of the potential fire hazards associated with the use of nitrous oxide in surgical settings and take appropriate safety precautions to prevent fires.

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b) In order to determine the value of D, additional information such as the bearing capacity factors (Nc, Nq, Nγ) or the ultimate bearing capacity (Qu) is needed.

To find the value of D, we need to calculate the ultimate bearing capacity of the mat foundation.

a) For a fully compensated foundation, the ultimate bearing capacity is given by:

Qu = (γ - γw) × Nc × Ac + γw × Nq × Aq + 0.5 × γw × B × Nγ

Where:

Qu = Ultimate bearing capacity

γ = Total unit weight of the soil (clay) = 18 kN/m³

γw = Unit weight of water = 9.81 kN/m³

Nc, Nq, Nγ = Bearing capacity factors (obtained from soil mechanics analysis)

Ac = Area of the loaded area (mat) = 60 m × 20 m

Aq = Area of the loaded area (mat) = 60 m × 20 m

B = Width of the loaded area (mat) = 60 m

Since the values of Nc, Nq, and Nγ are not provided, we cannot calculate the ultimate bearing capacity or the value of D for a fully compensated foundation.

b) For a required factor of safety against bearing capacity failure of 3.50, the allowable bearing capacity is given by:

Qa = Qu / FS

Where:

Qa = Allowable bearing capacity

FS = Factor of safety = 3.50

Again, without knowing the ultimate bearing capacity (Qu), we cannot calculate the allowable bearing capacity or the value of D for a factor of safety of 3.50.

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The table is as follows: Location Female Students Male Students Row Totals Aspen, Colorado 0.16 0.22 0.38 New York, New York 0.34 0.28 0.62 Column Totals 0.50 0.50 1

A two-way conditional relative frequency table for gender has a total of four categories: the female students who preferred Aspen, the total is 0.16 + 0.34 = 0.50, which is the proportion of female students who preferred either location.

The row totals are calculated by summing the values in each row of the original table. In the first row, the total is 0.16 + 0.22 = 0.38, which is the proportion of female students who preferred Aspen, Colorado.

In the second row, the total is 0.34 + 0.28 = 0.62, which is the proportion of male students who preferred New York, New York.Tof the original table. In the first column.he column totals are calculated by summing the values in each column

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The continuity of the piece-wise functions is defined as follows:

1. Not continuous.

2. Not continuous.

3. Not continuous.

A piece-wise function is a function that has multiple definitions, depending on the input.

Then the function is classified as continuous if the lateral limits at the points that the function change the definition are equal, and also equal to the numeric values of the function.

None of the functions in this problem are continuous, as:

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Answer:

x+9=15

Step-by-step explanation:

a number plus 9 is fifteen

let x represent the unknown number

x+9=15

:) ur welcome

hope this helped

The degree measures of angles d, e, and f are 64 degrees, 99 degrees, and 17 degrees, respectively.

What is the measures of the angles in a triangle?

If we add all three angles in any triangle we get 180 degrees. So, the measure of angle A + angle B + angle C = 180 degrees. This is true for any triangle in the world of geometry.

A) The sum of the angles in a triangle is 180 degrees. Using this fact, we can write:

m∠d + m∠e + m∠f = (4x-4) + (6x-3) + x = 11x - 7

Since this is the sum of the angles in the triangle, it must equal 180 degrees. Therefore, we can write:

11x - 7 = 180

Solving for x:

11x = 187

x = 17

Therefore, x = 17.

B) Now that we know x, we can find the measure of each angle by substituting it into the expressions given for each angle:

m∠d = 4x - 4 = 4(17) - 4 = 64 degrees

m∠e = 6x - 3 = 6(17) - 3 = 99 degrees

m∠f = x = 17 degrees

Therefore, the degree measures of angles d, e, and f are 64 degrees, 99 degrees, and 17 degrees, respectively.

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Answer:

Answer is in attached photo.

Step-by-step explanation:

The solution is in the attached photo, do note that this question requires the concept on Pythagoras' Theorem.

Median- is the middle value whereby the values are place in order (ascending)

$9.25 is the median of these prices

The requried average rate of change is given as -7 dollars per hour. Option D is correct.

The association between two numerical variables measured for the same individuals is displayed in a scatterplot. One variable's values are displayed on the horizontal axis, and the other variable's values are displayed on the vertical axis.

here,
The average rate of change for the data from the 5th hour to the 8th hour is given as,
m = (y₂ - y₁) /  (x₂ - x₁)

m = 75 - 96 / 8 - 5
m = -21/3
m = -7 dollars per hour.

Thus, the requried average rate of change is given as -7 dollars per hour. Option D is correct.

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The solution set for the absolute value equation is:

{x | x = 1/4}

An absolute value equation is an equation that contains an absolute value expression, which is denoted by vertical bars surrounding a quantity. The absolute value of a number is its distance from zero on the number line, and it is always non-negative (i.e., greater than or equal to zero).

An absolute value equation can be written in the form:

|f(x)| = g(x)

where f(x) is a function of x and g(x) is another function of x.

To solve the absolute value equation 1/2 = 1/3 - |x-3/6+x|, we first isolate the absolute value term:

1/2 - 1/3 = -|x-3/6+x|

Then we simplify the left side:

3/6 - 2/6 = 1/6

So the equation becomes:

1/6 = -|x-3/6+x|

To eliminate the absolute value, we consider two cases:

Case 1: x-3/6+x ≥ 0 (i.e., the expression inside the absolute value is non-negative)

In this case, we can remove the absolute value symbols and solve for x:

1/6 = -(x-3/6+x)

1/6 = -2x+3/6

2x = 3/6 - 1/6

2x = 1/3

x = 1/6

Case 2: x-3/6+x < 0 (i.e., the expression inside the absolute value is negative)

In this case, we need to change the sign of the expression inside the absolute value before removing the absolute value symbols:

1/6 = -(-(x-3/6+x))

1/6 = x-3/6+x

1/6 = 2x-3/6

2x = 3/6 + 1/6

2x = 1/2

x = 1/4

So the solution set for the absolute value equation is:

{x | x = 1/6 or x = 1/4}

To check the solutions, we substitute each value back into the original equation and verify that it holds true. For example:

When x = 1/6:

1/2 = 1/3 - |1/6-3/6+1/6|

1/2 = 1/3 - 1/6

1/2 = 1/6

This is false, so x = 1/6 is not a solution.

When x = 1/4:

1/2 = 1/3 - |1/4-3/4+1/4|

1/2 = 1/3 - 1/4

1/2 = 1/12 + 1/12

1/2 = 1/6

This is true, so x = 1/4 is a valid solution.

Therefore, the solution set for the absolute value equation is:

{x | x = 1/4}

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To look from the guest to their left to the guest to their right at a round table seating 6 people, you need to rotate by 60 degrees.

For a regular polygon with n sides, the sum of its interior angles is given by ((n - 2) × 180) degrees. In the case of a round table seating 6 people, the table can be considered as a hexagon, which has 6 sides. Using the formula, we can calculate the sum of the interior angles:

((6 - 2) × 180) / 6 = (4 × 180) / 6 = 720 / 6 = 120 degrees

Since the table forms a complete circle, the sum of the interior angles is divided equally among the guests. Therefore, each guest sits at an angle of 120 degrees. To look from the guest to their left to the guest to their right, you need to rotate by the angle between adjacent guests, which is half of the angle they sit at:

120 / 2 = 60 degrees

Thus, to look from the guest to their left to the guest to their right at a round table seating 6 people, you need to rotate by 60 degrees.

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Answer:

36

Step-by-step explanation: