If i have 2 snickers and my friend takes one what would I have left?
A. 2
B. 1
c. All of the above

The mean will have a value of 3.37 pounds and the median 3.5 pounds.

The best measure of central tendency to reflect the data from the u-pick berry farm is the mean, or the average number of pounds of raspberries each customer picked. The mean can be calculated by adding up all the values (3.5, 2.2, 2.8, 4.1, 4.5, 3.9, 1.7, 3.4, 4.2, 4.7, 5.2, 4.0, 3.3, 0.6) and then dividing by the total number of data points (13). The mean of this data is 3.37 pounds.

The median is also a good measure of central tendency for this data. The median is the middle value when the data is arranged in numerical order. When the data is ordered from least to greatest (0.6, 1.7, 2.2, 2.8, 3.3, 3.4, 3.5, 3.9, 4.0, 4.1, 4.2, 4.5, 4.7, 5.2), the median is 3.5 pounds.

Finally, the mode can be used to reflect the data. The mode is the value that occurs most often. There is no mode for this data because none of the values occurs more than once.

All three measures of central tendency, the mean, median, and mode, can be used to reflect the data from the u-pick berry farm. The mean is the average number of pounds each customer picked, the median is the middle value in the data set, and the mode is the value that occurs most often, but in this case there is no mode.

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(a) The power series solution for the Associated Laguerre Equation must terminate because the equation satisfies the necessary termination condition for a polynomial solution.

(b) The general expression for the power series coefficients in terms of the first coefficient can be obtained by using recurrence relations derived from the differential equation.

(a) The power series solution for the Associated Laguerre Equation, when expanded as a polynomial, must terminate because the differential equation is a second-order linear homogeneous differential equation with polynomial coefficients. Such equations have polynomial solutions that terminate after a finite number of terms.

(b) To find the general expression for the power series coefficients in terms of the first coefficient, one can use recurrence relations derived from the differential equation. These recurrence relations relate each coefficient to the preceding coefficients and the first coefficient. By solving these recurrence relations, one can express the coefficients in terms of the first coefficient and obtain a general expression.

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The radius of the given cone is calculated as 11 feet

The volume of a cone is equal to one-third of the product of the base area of the cone and its height. Mathematically, it can be expressed as:

Volume of Cone = 1/3 πr²h

where;

The given volume is 2279.64 cubic feet and the height of the cone is 18 feet.

V = 1/3πr²h

2279.64 = 1/3 * 3.14 * r² * 18

2279.64 * 3 = r² * 56.52

r² = 6838.92 / 56.52

r² = 121

r = √121

r = 11 feet

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Answer:ok

Step-by-step explanation: good job

The output of the program code block given will be two.

Python is a high-level, general-purpose programming language. Its design philosophy emphasizes code readability with the use of significant indentation.

Given is the following code structure -

x = 6 % 2

if x == 1:

  print("ONE")

else:

  print("TWO")

If we dry run the program, we can write -

x = 6 % 2

x = 0

Now, x is not equal to 1, therefore, it will print two.

Therefore, the output of the program code block given above will be two.

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Answer:

50

Step-by-step explanation:

Substitute m with 5

2m^2+m-5

2(5)^2+(5)-5

then follow your order of operations

2(25)+(5)-5

50+5-5

55-5=50

Answer:

  yes

Step-by-step explanation:

You want a graph of P = 125 +50W.

The given equation is in slope-intercept form. The independent variable is W, and the dependent variable is P.

Usually, the independent variable is graphed on the horizontal axis, which you have done.

The dependent variable is graphed on the vertical axis, which you have done.

The axes are correctly labeled and graduated.

The "y-intercept" (P value) when the independent variable is zero is the constant in the equation, 125. You have correctly shown that on the graph.

The slope of the line is the coefficient of the independent variable (W) in the equation. You have correctly shown that P increases by 50 when W increases by 1.

Yes, you properly graphed the equation.

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Answer:

Hope this helps!!

Step-by-step explanation:

6) A = 1/2 h (b1 + b2)

 => 2A = h (b1 + b2)

∴ h = 2A/(b1 + B2)

7) p = m(q - n)

∴ m = p/(q-n)

Systematic sampling offers several advantages. It is relatively easy to implement and eliminates bias that may arise from the subjective selection of participants.

The sampling method described in the scenario is called systematic sampling.

Systematic sampling involves selecting every nth element from a population after randomly selecting a starting point. In this case, the store manager randomly chooses a shopper entering the store as the starting point and then proceeds to interview every 20th person after that initial selection.

Systematic sampling offers several advantages. It is relatively easy to implement and eliminates bias that may arise from the subjective selection of participants. By ensuring a regular interval between selections, systematic sampling provides a representative sample from the population.

However, it's important to note that systematic sampling can introduce a form of bias if there is any periodicity or pattern in the population. For example, if the store experiences a peak in customer traffic during specific time periods, the systematic sampling method might overrepresent or underrepresent certain groups of shoppers.

To minimize this potential bias, the store manager could randomly select the starting point for the systematic sampling at different times of the day or on different days of the week. This would help ensure a more representative sample and reduce the impact of any inherent patterns or periodicities in customer behavior.

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The height of the intersection of a line from the bottom of the first to the top of the second is a line from the top of the first to the bottom of the second, and it is 6 m.

In order to find the height of the point where a line from the top of the first to the bottom of the second intersects a line from the bottom of the first to the top of the second if two flagpoles are 10 m and 70 m tall and are 100 m apart, we can use similar triangles.

        The height can be found by calculating the length of the third side of a triangle whose other two sides are the height of the first flagpole and the length between the two flagpoles respectively.

        Let us now assume that a line is drawn from the top of the first flagpole to the bottom of the second flagpole. The point where it intersects with a line drawn from the bottom of the first flagpole to the top of the second flagpole is the point where we are to find the height. The flagpoles are 100 m apart, so the horizontal distance between these two lines is 100 m.

       The height of the first flagpole is 10 m, and the height of the second flagpole is 70 m, respectively.

       The height of the point where these two lines intersect can be found using similar triangles. Since these two lines intersect at right angles, we can use Pythagoras' theorem to find the distance between the two flagpoles.

        This distance is √(100² + 60²) = √10000 + 3600

                                                           = √13600

                                                           ≈ 116.62 m.

         Let x be the height that we are to find. Thus, we have a right triangle where one side is x, and another side is     116.62 - 100 = 16.62. The third side is the difference between the heights of the two flagpoles, which is 60.

       The similar triangles will be:

                          x/10 = (60 + x)/70x

                                  = 7x/6 + 1.7x

                                   = 10.2x

                                x = 6m

                  Therefore, the height of the point where a line from the top of the first to the bottom of the second intersects a line from the bottom of the first to the top of the second is 6 m.

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The vector expressions are:

Vectors are objects that have both magnitudes and directions.

The expressions are illustrations of vectors, and the given parameters are:

Also, we have:

u = i + j.

u = i + j means that:

\(u = (5,-6) + (-7,3)\)

\(u = (5+ (-7) , -6 + 3 )\)

\(u = (5-7 , -6 + 3 )\)

\(u = (-2 , -3 )\)

Also, we have:

v = -11i + 3j

This becomes

\(v = -11 \times (-7,3) + 3 \times (5,-6)\)

\(v = (77,-33) + (15,-18)\)

Rewrite as:

\(v = (77+ 15,-33-18)\)

\(v = (92,-51)\)

Also, we have:

2u − v = i + j

and

u = i + j

Substitute i + j for u

\(2u - v = u\)

Substitute (-2, -3) for u

\(2u - v = (-2,-3)\)

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The volume of the rectangular prism is 428,544 cubic cm.

To find the volume of the rectangular prism, we can start by determining the dimensions of the prism.

Let's assume the length, width, and height of the prism are L, W, and H, respectively.

Given that the rectangular prism is filled exactly with 248 cubes, we can express the total number of cubes as the product of the length, width, and height of the rectangular prism:

\(L \times W \times H = 248\)

Since each cube has an edge length of 12 cm, the volume of one cube can be calculated as follows:

Volume of one cube \(= (12 cm) \times (12 cm) \times(12 cm)\)

Volume of one cube \(= 1728 cm^3\)

Now, we can set up the equation based on the given information:

\(L \times W \times H = 248 \times Volume of one cube\)

\(L \times W \times H = 248 \times 1728 cm^3\)

To find the volume of the rectangular prism, we need to calculate the right side of the equation:

\(248 \times1728 = 428,544 cm^3\)

Therefore, the volume of the rectangular prism is \(428,544 cm^3\).

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Answer:

g(g(x)) = 4x + 9

Step-by-step explanation:

To obtain g(g(x)) substitute x = g(x) into g(x) , that is

g(g(x))

= g(2x + 3)

= 2(2x + 3) + 3 ← distribute parenthesis

= 4x + 6 + 3 ← collect like terms

= 4x + 9

A quality circle is a "small-group" of employees who work voluntarily on company time, usually for about 1-hour per week, to address work-related problems, option (a) is correct.

The "Quality-Circles" are focused on areas such as quality-control, cost-reduction, production-planning and techniques, and even product design.

These groups aim to improve processes, enhance productivity, and find solutions to various challenges within the organization.

The "Quality-Circles" promote employee involvement, empowerment, and collaborative problem-solving, allowing employees to contribute their knowledge and expertise to make meaningful contributions to the company's operations and overall success.

The correct option is (a).

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The given question is incomplete, the complete question is

A _____ is a small group of employees who work voluntarily on company time, typically one hour per week, to address work-related problems such as quality control, cost reduction, production planning and techniques, and even product design.

(a) quality circle

(b) quality team

(c) social group

(d) planning team

The HCF of 10125 and 7425 is 675, obtained by prime factorization and identifying the common factors.

To find the highest common factor (HCF) of 10125 and 7425, we can use the method of prime factorization.

Step 1: Prime factorize both numbers.

10125 = 3 × 3 × 3 × 5 × 5 × 5 × 3

7425 = 3 × 3 × 3 × 5 × 5 × 11

Step 2: Identify the common prime factors.

The common prime factors between 10125 and 7425 are 3 and 5.

Step 3: Find the minimum exponent for each common prime factor.

The minimum exponent for 3 is 3 (from 10125) and 3 (from 7425).

The minimum exponent for 5 is 3 (from 10125) and 2 (from 7425).

Step 4: Multiply the common prime factors raised to their minimum exponents.

HCF(10125, 7425) = 3^3 × 5^2 = 27 × 25 = 675.

Therefore, the highest common factor of 10125 and 7425 is 675.

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To determine the appropriate warranty period for the Cook-Easy steamer, we need to use the concept of reliability engineering. The mean time before failure (MTBF) of 3535 months indicates that, on average, the steamer will operate without failure for 3535 months.

The standard deviation of 33 months tells us how much the actual failure times may deviate from the mean. To calculate the warranty period, we need to determine the failure rate of the steamer. This can be done by dividing 1 by the MTBF, which gives us a failure rate of 0.000282 failures per month.

To ensure that the manufacturer does not have more than 10% of the steamers returned, we need to calculate the proportion of steamers that will fail within the warranty period. This can be done using the normal distribution with a mean of 3535 months and a standard deviation of 33 months. We can use a z-score of 1.28 (corresponding to the 90th percentile) to find the corresponding failure time, which is 3600 months (rounded up).

Therefore, the manufacturer should offer a warranty period of 65 months (rounded up) to ensure that no more than 10% of the steamers are returned. This means that if the steamer fails within the warranty period, the manufacturer will repair or replace it free of charge.

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The 20th and 25th percentiles are both 21, while the 65th and 75th percentiles are both 29, based on the ordered data values provided.



To find the percentiles, we first need to arrange the data values in ascending order: 16, 21, 24, 24, 26, 29, 31, 33.

1. 20th percentile: Since 20% of the data is below this value, we multiply 20 by the total number of data points (8) and divide by 100. The result is 1.6. Since this is not an integer, we round up to the next whole number, which is 2. The 20th percentile is the second value in the ordered list, which is 21.

2. 25th percentile: Following the same approach as above, 25% of the data is below this value. Multiplying 25 by 8 and dividing by 100 gives us 2. The 25th percentile is the second value, which is also 21.

3. 65th percentile: This time, 65% of the data is below the value. Multiplying 65 by 8 and dividing by 100 yields 5.2. We round up to the next whole number, which is 6. The 65th percentile is the sixth value, which is 29.     4. 75th percentile: 75% of the data is below this value. Multiplying 75 by 8 and dividing by 100 gives us 6. The 75th percentile is the sixth value, which is also 29.

Therefore, The 20th and 25th percentiles are both 21, while the 65th and 75th percentiles are both 29, based on the ordered data values provided.

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a. The mean and standard deviation of the sampling distribution of the difference in sample means xF - xM are 1.5 and 1.65 minutes.

b. The probability of getting a difference in sample means xF - xM that is less than 0 is approximately 0.20

What is Probability?

Probability is a field of mathematics that calculates the likelihood of an experiment occurring. We can know everything from the chance of getting heads or tails in a coin to the possibility of inaccuracy in study by using probability.

a. The mean of the sampling distribution of the difference in sample means, xF - xM, is equal to the difference of the population means, μF - μM = 8.8 - 7.3 = 1.5 minutes.

where σF and σM are the standard deviations of the populations of female and male students, respectively, and nF and nM are the sample sizes of female and male students, respectively.

\(Standard\ Deviation = \sqrt{3.3^2/8 + 2.9^2/8} \\\\Standard\ Deviation = \sqrt{{2.75} }\\\\Standard\ Deviation = 1.65\ minutes\)

So, the mean and standard deviation of the sampling distribution of the difference in sample means xF - xM are 1.5 and 1.65 minutes, respectively.

b. The probability of getting a difference in sample means xF - xM that is less than 0 can be found using a standard normal distribution table. First, we need to standardize the difference in sample means xF - xM by subtracting the mean and dividing by the standard deviation:

z = (xF - xM - (μF - μM)) / standard deviation

z = (0 - 1.5) / 1.65 = -0.91

Looking up -0.91 in a standard normal distribution table, we find that the probability of getting a difference in sample means xF - xM that is less than 0 is approximately 0.20.

So, there is a 20% probability of getting a difference in sample means xF - xM that is less than 0.

Hence, The mean and standard deviation of the sampling distribution of the difference in sample means xF - xM are 1.5 and 1.65 minutes and probability of getting a difference in sample means xF - xM that is less than 0 is approximately 0.20.

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Answer:

one

Explanation:

First, note that a conditional statement in mathematics refers to a statement in which a hypothesis is given followed by a conclusion. Such as saying if P then "Q”, P  and Q  are sentences.

For example, a good example of conditional statement;

"If today is Sunday, then tomorrow is Monday"(hypothesis not underlined; condition underlined). While the counterexample could be one example or statement that satisfies the condition(s) of the statement but does not satisfy the conclusion.

Answer:33

Step-by-step explanation:

Answer:

y=-2/5 x +2 (see photo for calc)

Answer:

40/3 in^2

Step-by-step explanation:

2 2/3 = 8/3

(8*5)/3

40/3 in^2

Answer:

20/3 in or 6.67 in

Step-by-step explanation:

A = h*b/2

A = 5in * (8/3in/2)

A = 20in/3 = 6.67in

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Answer:

The temperature from least to greatest is as follows;

-12°F, -10°F , -8°F

Step-by-step explanation:

Here, given the temperatures at different times, we want to arrange the given temperatures from the least to the greatest;

This means we are arranging in descending order;

While we are dealing with negative numbers, the biggest negative numbers are the smallest

in values while the smallest negative numbers are the biggest in value. What we are saying here is that -8 is greater than -24

So the temperature arrangement will be ;

-12 , -10 , -8

The true mean number of pushups that can be performed, as determined by the t-distribution, is within a 95% confidence interval of (9, 21).

Since we know the sample standard deviation for this issue, the t-distribution is applied.

Given,

The sample mean, x = 15 .

The sample standard deviation, s = 9 .

The sample size, n = 10 .

As a result, df = 9. Next, we determine the number of degrees of freedom, which is one less than the sample size.

The crucial value for a 95% confidence interval is then determined by looking at the t-table or using a calculator, yielding t = 2.2622.

The margin of error;

M = t × s/n

Then,

M = 2.2622 × 9/√10 = 6

The confidence interval is:

x ± M

Then

x - M = 15 - 6 = 9

x + M = 15 + 6 = 21

Therefore,

The confidence interval is (9, 21).

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Answer:

45

Step-by-step explanation:

Flip the fraction, 1/5 to 5/1, and reverse the equation to a multiplication problem.

\(1/5 \rightarrow 5/1\\9 \cdot 5/1 = 45\)

Let me know if you have questions or concerns.

George, being a Type A person, is characterized by high stress levels and a competitive nature. b) is prone to heart attacks in his thirties and forties because of his high stress level.

Type A personality refers to individuals who are ambitious, driven, and exhibit a high level of competitiveness. They often experience higher levels of stress and may engage in behaviors such as time urgency and impatience. While it is true that Type A individuals are more prone to heart attacks, the specific age range can vary.

In the case of George, the question states that he is prone to heart attacks in his thirties and forties. This is because the combination of high stress levels, competitive nature, and potentially other risk factors like poor diet, smoking, or lack of physical activity can increase the likelihood of cardiovascular problems at a relatively younger age.

However, the statement does not exclude the possibility of George being at risk of heart attacks in his seventies as well. While the risk may decrease with age due to lifestyle changes or medical interventions, it is still important for individuals with Type A personalities to manage their stress levels and adopt a heart-healthy lifestyle to reduce the overall risk of heart disease throughout their lives.

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George is considered a Type A person. He is suffering from heart attacks  due to high level of stress and anxiety. Select the suitable options.

He a) has a low level of adrenaline b) is prone to heart attacks in his thirties and forties because of his high stress level. c) is prone to heart attacks in his seventies d) is not competitive

The minimum amount of wrapping paper needed to wrap the gift box that measures 6 inches (length) by 8 inches (width) by 7 inches (height) 292 square inches.

To calculate the minimum amount of wrapping paper needed, we need to find the surface area of the box.

The surface area of a rectangular box is given by the formula:

Surface area = 2lw + 2lh + 2wh

where l, w, and h are the length, width, and height of the box, respectively.

Substituting the given dimensions, we have:

Surface area = 2(6 x 8) + 2(6 x 7) + 2(8 x 7)

Surface area = 96 + 84 + 112

Surface area = 292 square inches

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Nick invested $47250 and Matt also contributed $78750, and Matt owns 62.5% of the company when invested in the ratio 3: 5 .

a)Each initial stage involves calculating the overall amount invested.

Ratio of investment =3 :5

components total = 3x + 5x

Eight sections total.

The cost per part is determined in the subsequent step (x)

Parts cost (x) = 126,000/8

Parts cost (x) = 15750

The third stage is to determine how much Nick and Matt invested.

Nick's investment yield is 3x

Nick's investment: 3 x 15750 = 47250

Nick invested $47250 in total.

Matt invested 5 times as much.

Matt invested 5 x 15750=78750.

$78750 was invested by Matt.

b. Owned wholly by Matt

Using this equation

Percentage that Matt owns equals "part owned by Matt/total part"

Let's enter the formula.

percentage held by Matt is equal to 5x/(3x+5x).

Matt owns 5x/8x of the shares.

Owned by Matt to the tune of 62.5%

Therefore Nick and Matt each invested $47250; Matt also contributed $78750, and Matt owns 62.5% of the company.

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The equation of the tangent line to the curve are  \(y=x-1 , y=\frac{xe-e^{2}+8 }{e}\).

It is required to find the solution.

A tangent is a line that touches the edge of a curve or circle at one point, but does not cross it. The tangent line to a curve at a point is that straight line that best approximates (or “clings to”) the curve near that point.

Given:

\(y=8\frac{lnx}{x} \\\\y'=8(\frac{1/x*x-lnx*1}{x^{2} } \\\\y'=\frac{1-lnx}{x^{2} }\)

Now, we find the slope of the tangent by inserting the point (1,0) into the derivative.

\(m_{tangent}=\frac{1-ln1}{1^{2} }\\\\m_{tangent}=1-0/1\\\\m_{tangent} =1\)

We can now find the equation, because we know the slope and a point (1, 0).

\(y-y_{1} =m(x-x_{1} )\\\)

y-0=1(x-1)

y=x-1

We can now find the equation, because we know the slope and a point (e, 8/e).

\(y-y_{1} =m(x-x_{1} )\\\\y-8/e=1(x-e)\\\\y=\frac{xe-e^{2}+8 }{e}\)

Therefore, the equation of the tangent line to the curve are  \(y=x-1 , y=\frac{xe-e^{2}+8 }{e}\).

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The new position of arrowhead graph ABCD is A'B'C'D' as shown in the below graph.

We know that,

Graph rotation is the process of rotating a graph, which entails altering the orientation of the graph's edges or nodes while keeping their interactions.

From the given arrowhead graph as below;

]The points labelled are

A (-2, 2), B (0, 5), C (2, 2) and D (0, 3)

On rotating the graph through 90° anticlockwise around the origin (0, 0), the new positions of the points are:

A (-2, 2)  ⇒  A' (-2, -2)

B (0, 5)   ⇒  B' (-5, 0)

C (2, 2)   ⇒  C' (-2, 2)

D (0, 3)   ⇒  D' (-3, 0)

Therefore, the new position of arrowhead graph ABCD is A'B'C'D' as shown in the below graph.

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Answer: So, the speed that minimizes fuel flow is 400 km/h.

Step-by-step explanation:

To determine the speed that minimizes fuel flow, we need to find the vertex of the parabola represented by the equation f = 0.0048v^2 - 0.96v + 64. The vertex of a parabola in the form of y = a(x - h)^2 + k is (h, k).

To find h, we can use the formula h = -b / (2a) = -(-0.96) / (2 * 0.0048) = 400

To find k, we can substitute h and v = 400 into the original equation:

f = 0.0048(400)^2 - 0.96(400) + 64 = 64

So, the speed that minimizes fuel flow is 400 km/h.