Samantha is a farmer and the other day she was on her way to sell eggs at the
market she got into an accident and all her eggs broke. In order for her to collect
money from the insurance company, she had to give the exact amount of eggs she
had. She doesn't remember how many eggs there were but when she was packing
them she remembered when she put them in groups of 2, 3, 4, 5, or 6, one egg was
left over. But in groups of 7 no eggs were left over.
How many eggs did she have?

Answer:

\(\pi \times 39 \times 81 \times 2 = 9919.26\)

Answer:

14.29

Step-by-step explanation:

Let p be the price of the cd

we take the price of the cd plus the tax and it must be less than or equal to 15

the tax is the price of the cd times 5 %

p + p*.05 ≤15

Combine like terms

p*1.05 ≤15

Divide each side by 1.05

p ≤15/1.05

p  ≤14.28571429

Rounding to the nearest cent

p  ≤14.29

The maximum price is 14.29

4) reflexive property

5) SSS

The percent of girls who want to be a teacher when they grow up is 19.8.

To find the percentage of girls who want to be a teacher, we need to divide the number of girls who want to be a teacher by the total number of girls in the study and then multiply by 100.

In a study of 1350 elementary school children, there were 615 girls, and 118 of them said they want to be a teacher when they grow up. To find the percentage of girls who want to be a teacher, you can use the formula:

Percentage = (Number of girls who want to be a teacher / Total number of girls) x 100

Percentage = (118 / 615) x 100

Percentage ≈ 19.18%

So, approximately 19.18% of girls in the study want to be a teacher when they grow up.

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To develop the Branch and Bound (B&B) tree for the given problem, follow these steps:

1. Start with the initial B&B tree, where the root node represents the original problem.

2. Choose \($x_1$\) as the branching variable at node 0. Add two child nodes: one for

\($x_1 \leq \lfloor x_1 \rfloor$ \\(floor of $x_1$) and one for $x_1 \geq \lceil x_1 \rceil$ (ceiling of $x_1$).\)

3. At each node, perform the following steps:

  - Solve the relaxed linear programming (LP) problem for the node, ignoring the integer constraints.

  - If the LP solution is infeasible or the objective value is lower than the current best solution, prune the node and its subtree.

  - If the LP solution is integer, update the current best solution if the objective value is higher.

  - If the LP solution is non-integer, choose the fractional variable with the largest absolute difference from its rounded value as the branching variable.

4. Repeat steps 2 and 3 for each unpruned node until all nodes have been processed.

5. The node with the highest objective value among the integer feasible solutions is the optimal solution.

6. Optionally, backtrace through the tree to retrieve the optimal solution variables.

Note: The specific LP problem and its constraints are missing from the given question, so adapt the steps accordingly.

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The indefinite integral of x^21(x^4 - 7x^2 + 6) with respect to x is (1/26)x^26 - (1/8)x^22 + 6x^22 + C, where C is the constant of integration.

In the given integral, we can use the power rule for integration to find the antiderivative of each term. Applying the power rule, the term x^21 becomes (1/22)x^22, x^4 becomes (1/5)x^5, -7x^2 becomes (-7/3)x^3, and 6 becomes 6x. Then, we add the constant of integration, C, to account for all possible antiderivatives.

Simplifying further, we obtain (1/22)x^22 * (x^4 - 7x^2 + 6) = (1/22)(x^26 - 7x^24 + 6x^22). By distributing (1/22) to each term, we get (1/22)x^26 - (7/22)x^24 + (6/22)x^22.

Finally, we can express the answer as (1/26)x^26 - (1/8)x^22 + 6x^22 + C by adjusting the coefficients and combining like terms. This is the indefinite integral of x^21(x^4 - 7x^2 + 6) with respect to x, where C represents the constant of integration.

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Answer:

Transitive

Step-by-step explanation:

When we compute the deviation of the second observation in the data set from the mean, and find that the result is a negative number, this tells us that there is good reason to use the median as opposed to the mean as a measure of central tendency.

In computing deviations, it is important to note that extremely skewed deviations can increase the normal distributions and make it difficult to use the standard deviation as a measure of central tendency.

So, when the deviation of the second observation is a negative number, the distribution will be affected and it may become better to use the median as a measure of central tendency.

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Complete Question:

We compute the deviation of the second observation in the data set from the mean, and find that the result is a positive number. This tells us that:

there is a positive overall skewness in the data set.

there is good reason to use the median as opposed to the mean as a measure of central tendency.

the first deviation must also be positive.

the second observation is greater than the sample average.

The greatest common factor of their product is 2

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

GCF of 2x - 4 = 2

GCF of 4 * 8  = 4

Using the above as a guide, we have the following expressions

GCF of 2x - 4 = 2

GCF of 4 * 8  = 2  * 2

Write out the common factors

GCF = 2

This means that the GCF is 2

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Answer: =23

Step-by-step explanation:

\(4+23-\left|-4\right|\)

\(=4+23-4\)

\(=23\)

Answer:

$26.45.

Step-by-step explanation:

First, convert the 15% to an actual number that can be used in a calculation. For percents,this is always done by simply dividing the percent (in this case 15%) by 100%.So, the conversational term "15%" becomes 15% / 100% = 0.15 in terms of a real mathematical number.

Second, you need to find out what 15% of your $23.00 meal cost is.This is always done by multiplying 0.15 by $23.00, or

0.15 x $23.00=$3.45.

So, the amount of tip you are going to leave is $3.45.

This makes the total cost of your meal (to write on your charge slip or other payment)

$23.00 + $3.45 = $26.45.

Answer:

The very first one is decay and the rest are growth

Step-by-step explanation:

Im SO sorry if i got it wrong

I REALLY hope this helped

Best of luck

Answer:

true

Step-by-step explanation:

100-6

Answer: True

Step-by-step explanation: 100-61=39

The statement "Multinational corporations have facilitated corruption in Nigeria and the government's dependency on money from oil" describes the activities of multinational corporations operating in the oil industry in Nigeria.

Multinational corporations operating in Nigeria's oil industry have been accused of unethical practices, such as environmental degradation, human rights abuses, and collusion with corrupt government officials.

The oil industry has become a major source of revenue for Nigeria, and the government heavily relies on it for funding. This dependency on oil revenue has led to a lack of economic diversification and weak governance, further reinforcing corruption and exacerbating socio-economic inequality.

Therefore, the correct answer highlights the negative impact of multinational corporations' activities on Nigeria's economy and political system, perpetuating a vicious cycle of corruption and dependence on oil.

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The recursive definition of the function f(n) = 2^n can be written as follows: Base Case: f(1) = 2

Recursive Case: f(n) = 2 * f(n-1), for n > 1

In simpler terms, the base case states that when n is equal to 1, the function f(n) will be equal to 2. For any value of n greater than 1, the recursive case states that the function f(n) will be equal to twice the value of f(n-1). This means that the function will keep multiplying the previous value by 2 until it reaches the desired value of n.

For example, if we want to find f(3), we start with the base case f(1) = 2,

then use the recursive case f(n) = 2 * f(n-1)

to calculate f(2) = 2 * f(1) = 2 * 2 = 4, and

finally f(3) = 2 * f(2) = 2 * 4 = 8.

In summary, the recursive definition of the function f(n) = 2^n states that f(n) is equal to 2 multiplied by the previous value of f(n-1),

starting with f(1) = 2.

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Answer:

1st choice

Step-by-step explanation:

(r² -4r + 5 - r² -2r + 8) / (r - 4)

= (-6r + 13) / (r - 4)

Answer:

1,920

Step-by-step explanation:

A=L x W

so we have to multiply each number

24*8=192

192*10=1,920

Answer:

(a) The travel times of the Los Angeles workers have a higher variability than those of the New York City area and about 54 out the 70 Los Angeles workers take longer (over 20minutes) than the maximum travelling time for the New York City workers (18 minutes) when they travel to work

(B) (i) The percentage of workers that travel close to the maximum travel times given in the data of the two cities

(ii) Almost half of the New York City area workers spend between 40 and 100 minutes to work, while almost half (32) of the Los Angeles workers spend between 0 and 20 minutes to work every day

Step-by-step explanation:

The travel times for the 70 Los Angeles workers are;

Number of workers                    \({}\)         Travel time

32                    \({}\)                                      0 - 20 minutes

22                    \({}\)                                      20 - 40 minutes

10                   \({}\)                                        40 - 60 minutes

4                   \({}\)                                          60 - 80 minutes

2                   \({}\)                                          80 - 100 minutes

The travel times for the 61 New York City area workers are;

18                   \({}\)                                          0 - 20 minutes

14                   \({}\)                                          20 - 40 minutes

10                   \({}\)                                          40 - 60 minutes

12                   \({}\)                                          60 - 80 minutes

7                    \({}\)                                           80 - 100 minutes

Workers in Los Angeles averagely take short time to reach to workplace than in New  York.

Descriptive statistics like mode, IQR, skewness etc do care about how the data is more leaning on one side than other. That is why these types of measures are helpful here.

Given data includes:

For Los Angeles: 32, 22, 10, 4, 2 (skewed left)

For New York: (18, 14, 10, 12 ,7) (very slightly skewed left)

Part a.

Comparing the distributions of travel times for both of the regions:

Histogram of Los Angeles is more skewed to the left. (values like 32, 20 lies on the left, and 5, 2 on the right tail)

Histogram of New York, in comparison to the histogram of Los Angeles is not that skewed and lies approximately leveled but is slight skewed to left.

This hows that time taken by worker to travel in Los Angeles is averagely very  short and count of workers taking longer time falls dramatically.

On the other hand, that above thing doesn't happen for workers in New York.

Part b.

Central measure "Mode" can be used here. The reason of choosing mode is that it focuses on frequency and gives weights to outliers too. Mean, on the other hand takes average of all values thus might forget the data of skewness.

The 3rd moment of measure of skewness can be used to measure the degree of skewness in both the data.

Inter Quartile Range is also useful since it will tell quartile to quartile measures which can help not loose the data of skewness.

So, the important thing that should be included in the measure we use to  describe this data is to include the information of skewness of the graph.

Descriptive statistics like mean, standard deviation etc forget about skewness.

Descriptive statistics like mode, IQR, skewness etc do care about how the data is more leaning on one side than other. That is why these types of measures are helpful here.

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John Regan, an employee at home depot, made deposits of $700 at the end of each year for 6 years; interest is 6 compounded annually. The value of Regna's annuity at the end of 6 years is $4,902.50.

The value of Regan's annuity at the end of 6 years can be calculated using the formula for the future value of an annuity:

FV = PMT × [(1 + i)^n - 1] / i

Where:

 FV = Future Value

 PMT = Payment amount

 i = Interestratesn = Number of periods

In this case,

 PMT = $700,

 i = 0.06 (6% interest rate), and

 n = 6 (6 years).

Plugging these values into the formula, we get:

 FV = $700 × [(1 + 0.06)^6 - 1] / 0.06

 FV = $700 × [1.4185 - 1] / 0.06FV = $700 × 0.4185 / 0.06

 FV = $4,902.50

Therefore, the value of Regan's annuity at the end of 6 years is $4,902.50.

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The measure of the indicated angle to the nearest degree can be found to be A. 51 degrees .

The cosine function is defined as the ratio of the adjacent side to the hypotenuse in a right triangle .

In this case , the adjacent side is 17 and the hypotenuse is 27 . This means that the angle can be found to be :
Cos ( angle ) = Adjacent / Hypotenuse

Cos ( angle ) = 17 / 27

Angle = Cos ⁻ ¹ ( 17 / 27 )

Angle = 50. 98 degrees

Angle = 51 degrees

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put the numbers in order

32,34,38,45,49,66,66,69,71,72,74,75,102

Q1 = (38 + 45)/2 = 41.5

Q2 (the median) = 66

Q3 = (72 + 74)/2 = 73

Interquartile range (IQR) = Q3 - Q1 = 73 - 41.5 = 31.5

Considering the vertex of a quadratic equation, the greatest rectangular area that the farmer can enclose with 100 m is of 625 m².

A quadratic equation is modeled by the rule presented as follows:

y = ax^2 + bx + c

The vertex has these following coordinates.

\((x_v, y_v)\)

In which:

Considering the coefficient a, we have that the vertex can represent either a maximum or a minimum point in the function, as follows::

In this problem, the coefficients of the quadratic equation representing the area are given as follows:

a = -1, b = 50.

The greatest rectangular area that the farmer can enclose with 100 m is the y-coordinate of the vertex of the quadratic equation, hence:

\(y_v = -\frac{50^2 - 4(-1)(0)}{4(-1)} = 625\)

The area is of 625 m².

The quadratic equation for the area is:

A(w) = -w² + 50w

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Answer:

625

explanation:

trust

To find the z-score for a sales associate who earns $37,500, we can use the formula:

z = (x - μ) / σ

Where:

x is the value we want to convert to a z-score (in this case, $37,500),

μ is the mean of the distribution (in this case, $32,500), and

σ is the standard deviation of the distribution (in this case, $2,500).

Substituting the given values into the formula, we have:

z = (37,500 - 32,500) / 2,500

z = 5,000 / 2,500

z = 2

Therefore, the z-score for a sales associate who earns $37,500 is 2.

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The z-score for a sales associate earning $37,500 in a system where the mean salary is $32,500 and the standard deviation is $2,500 has a z-score of 2. This score indicates that the associate's salary is two standard deviations above the mean.

The z-score represents how many standard deviations a value is from the mean. In this case, the value is the salary of a sales associate, the mean is the average salary, and the standard deviation is the average variation in salaries.

We calculate the z-score by subtracting the mean from the value and dividing by the standard deviation, like so:

Z = (Value - Mean) / Standard Deviation

So, the z-score for an associate earning $37,500 would be:

Z = ($37,500 - $32,500) / $2,500

This gives us a z-score of +2, indicating that a salary of $37,500 is two standard deviations above mean.

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Both ran equal and both covered equal distance.

As cruz ran 1 lap out of 4 to cover one mile.

and erica ran 3 lap out of 12 to cover one mile:

3/12 = 1/4

So Cruz = Erica = 1/4.

Hence Both ran equal.

Fraction:

Fraction is used to represent the portion/part of the whole thing. It represents the equal parts of the whole. A fraction has two parts, namely numerator and denominator. The number on the top is called the numerator, and the number on the bottom is called the denominator.

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Answer:

6.2

Step-by-step explanation:

ahmm recommend answer lang

Answer:

6.8

Step-by-step explanation:

hope this helped! :)

Para resolver la ecuación cuadrática 3x² + 8x + 4 = 0, podemos utilizar el método de factorización, la fórmula general o completar el cuadrado. A continuación, explicaré cómo resolverla utilizando la fórmula general.

La fórmula general para resolver una ecuación cuadrática de la forma ax² + bx + c = 0 es:

x = (-b ± √(b² - 4ac)) / (2a)

En nuestra ecuación, a = 3, b = 8 y c = 4. Sustituyendo estos valores en la fórmula general, obtenemos:

x = (-8 ± √(8² - 4 * 3 * 4)) / (2 * 3)

Simplificando:

x = (-8 ± √(64 - 48)) / 6

x = (-8 ± √16) / 6

Ahora, evaluamos las dos posibles soluciones:

x₁ = (-8 + √16) / 6

x₁ = (-8 + 4) / 6

x₁ = -4 / 6

x₁ = -2/3

x₂ = (-8 - √16) / 6

x₂ = (-8 - 4) / 6

x₂ = -12 / 6

x₂ = -2

Por lo tanto, las soluciones de la ecuación 3x² + 8x + 4 = 0 son x = -2/3 y x = -2.

Answer:

134 adult tickets were sold adt tye school play.

Step-by-step explanation:

total tickets = adult + student tickets

total tickets= (2×adult tickets)+adult tickets

total tickets = 3× adult tickets.

402=3×adult tickets.

402÷3=adult tickets

134=adult tickets

Answer:

1.71 meters.

Step-by-step explanation:

To work out Jodie's height, we can use the formula for body mass index (BMI):

BMI = weight (kg) / height (m)^2

We know that Jodie's BMI is 19 and her weight is 55 kilograms. We can use this information to solve for her height.

Rearranging the formula to solve for height:

height = √(weight / BMI)

Substituting in Jodie's weight and BMI:

height = √(55 / 19)

height = √(2.89)

height = 1.71 meters

To 2 decimal places, Jodie's height is 1.71 meters.

With a Body Mass Index (BMI) of 19 and a weight of 55 kilograms, the height of Jodie is 1.70 meters.

We know,

BMI = Weight of a person in kilograms (w) .........(i)

    Square value of height in meters (h^2)

(w) = 55 Kg

BMI = 19.

Substituting the values in equation (i),

h^2 = 55/19,

or, h^2 = 2.89 meters,

or, h = √2.89 meters,

or, h = 1.70 meters.

Therefore, at a BMI of 19 and a weight of 55 Kilograms, Jodie has a height of 1.70 meters.

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In conclusion  there are no points among the given options that are on the parabola.

why it is?

The vertex of the parabola is the midpoint between the point (6, 2) and the line y = 4, which is at (6, 3). Since the focus is below the vertex and the directrix is a horizontal line, the equation of the parabola is of the form:

(x - h)²2 = 4p(y - k)

where (h, k) is the vertex and p is the distance from the vertex to the focus (and from the vertex to the directrix).

Using the vertex and the given point (6, 2), we can find that p = 1. Therefore, the equation of the parabola is:

(x - 6)²2 = 4(y - 3)

Now we can check which of the given points satisfy this equation:

A. (4, 6)

(4 - 6)²2 = 4(6 - 3)

4 = 12 - 12

This point is not on the parabola.

B. (5, 7)

(5 - 6)²2 = 4(7 - 3)

1 = 16

This point is not on the parabola.

C. (6, 5)

(6 - 6)²2 = 4(5 - 3)

0 = 8

This point is not on the parabola.

D. (7, 6)

(7 - 6)²2 = 4(6 - 3)

1 = 12

This point is not on the parabola.

E. (8, 5)

(8 - 6)²2 = 4(5 - 3)

4 = 8

This point is not on the parabola.

Therefore, there are no points among the given options that are on the parabola.

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Complete question:

Which points are on the parabola defined as the set of points the same distance from (6,2) and the line y=4?