If there is a total of 190,000 sheets of paper, and 5 groups (2 in each group) of people uses 8 sheets of paper how many paper is left? Explain why?

The supporting detail that does not fit the topic sentence is option A, which states that living alone is a choice made by only 5 percent of all single adults.

Living alone is a topic that encompasses both positive and negative aspects, as indicated by the topic sentence. The first supporting detail, option A, does not align with the idea of discussing the good and bad things about living alone.

Instead, it presents a statistical fact about the percentage of single adults who choose to live alone. While this information may be interesting, it does not contribute directly to the discussion of the advantages and disadvantages of living alone.

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The only solution for the constant r is r = 0, and the corresponding function is 1.

Substituting \(y(x) = x^r\) into the differential equation x² y + 11xy + 25y = 0, we get:

\(x² (x^r) + 11x(x^r) + 25(x^r) = 0\)

Simplifying this equation by combining like terms, we get:

\(x^(r+²) + 11x^(r+1) + 25x^r = 0\)

We notice that this equation can be factored:

\(x^r(x² + 11x + 25) = 0\)

For this equation to hold true for all x, either \(x^r = 0, or x² + 11x + 25 = 0\).

The first case gives us r = 0, since y(x) = x⁰ = 1 is a solution to the differential equation.

For the second case, we can solve the quadratic equation using the quadratic formula:

\(x = (-b ± sqrt(b² - 4ac)) / 2a\)

where a = 1, b = 11, and c = 25. Plugging these values into the formula, we get:

\(x = (-11 ± sqrt(121 - 100)) / 2\)

x = (-11 ± 3) / 2

x1 = -4, x2 = -7

Since we need the differential equation to hold true for all x, we need to check if is a solution for both x = -4 and x = -7.

For x = -4, we have:

\(x^2 y + 11xy + 25y = (-4)^2 (-4^r) + 11(-4)(-4^r) + 25(-4^r) = 0\)

Simplifying this equation, we get:

16r - 44r - 100r = 0

-128r = 0

r = 0

Thus, y(x) = x⁰ = 1 is a solution to the differential equation for x = -4.

For x = -7, we have:

\(x^2 y + 11xy + 25y = (-7)^2 (-7^r) + 11(-7)(-7^r) + 25(-7^r) = 0\)

Simplifying this equation, we get:

49r - 77r - 175r = 0

-203r = 0

r = 0

Thus, y(x) = x⁰ = 1 is a solution to the differential equation for x = -7.

Therefore, the only solution for the constant r is r = 0, and the corresponding function is y(x) = x⁰ = 1.

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The very low likelihood that there will be 45 or more people in the sample who have consumed alcoholic beverages.

a) The number of people in the sample expected to have consumed alcoholic beverages can be calculated as follows:First, we multiply the number of individuals in the sample by the proportion of people in that age group who drink alcohol.50 x 0.697 = 34.85Thus, we anticipate that about 34.85 people in the sample will have consumed alcoholic beverages.b) No, 45 or more accounts for six different events -- this wouldn't be surprising, you would not be surprised if the sample contained 45 or more people who have consumed alcoholic beverages. This is because it falls within the margin of error.c) To calculate the probability that 45 or more people in this sample have consumed alcoholic beverages, we will need to compute the z-score first.We use the following formula to calculate the z-score:$$z=\frac{x-\mu}{\frac{\sigma}{\sqrt{n}}}$$Where, x = 45μ = 0.697 x 50 = 34.85σ = √[(50 x 0.697 x 0.303)] = 3.77n = 50After plugging the values into the formula, we have:$$z=\frac{45-34.85}{\frac{3.77}{\sqrt{50}}}$$ = 3.89Since we are trying to determine the probability of having 45 or more people who have consumed alcoholic beverages, we will calculate the probability of having a z-score greater than or equal to 3.89.Instead of looking up the z-score in the z-table, we can use a calculator to determine the probability. From a standard normal distribution, the calculator provides the following output:P(Z ≥ 3.89) = 0.0000317Rounded to four decimal places, the probability is approximately 0.0000. Therefore, there is a very low likelihood that there will be 45 or more people in the sample who have consumed alcoholic beverages.

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The critical value for an 80% confidence interval is 1.28.

To find the critical value for constructing an 80% confidence interval for the difference in two proportions, we need to use the z-table.

Step 1: Find the critical value.

Since we want an 80% confidence interval, the remaining area (1 - 0.80 = 0.20) is divided equally into the two tails. Each tail has an area of 0.10. To find the critical value, we look for the z-score that corresponds to an area of 0.10 in the standard normal distribution table.

Using the z-table or a calculator, we find that the z-score for an area of 0.10 (one tail) is approximately 1.28.

Therefore, the critical value for an 80% confidence interval is 1.28.

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Answer: $164

Step-by-step explanation:

25*7=175

175+12.5

226.50-187.50

5*25=125+39

Jones family payed $164

Answer:

\(10\sqrt{14} +8\sqrt{21} + 30\sqrt{3} +36\sqrt{2}\\\)

Step-by-step explanation:

\((2\sqrt{7} + 3\sqrt{6} )(5\sqrt{2} +4\sqrt{3} )\\= 10\sqrt{14} +8\sqrt{21} + 15\sqrt{12} +12\sqrt{18} \\=10\sqrt{14} +8\sqrt{21} + 15\sqrt{4*3} +12\sqrt{9*2} \\= 10\sqrt{14} +8\sqrt{21} + 15*2\sqrt{3} +12*3\sqrt{2} \\=10\sqrt{14} +8\sqrt{21} + 30\sqrt{3} +36\sqrt{2} \\\\\)

Hope this helps!

Answer:

(2√7 + 3√6) x (5√2 + 4√3)

Multiply the parentheses

= 10√14 + 8√21 + 15√12 + 12√18

= 10√14 + 8√21 + 30√3 + 12√18

Answer:

3b/2 + 3

Step-by-step explanation:

The formula to calculate perimeter of rectangle is 2l + 2w

The length is half the width so length is 1/2 (b/2 +1), which when simplified is b/4 + 1/2

Using the formula to calculate perimeter you can substitute and calculate

p= 2l + 2w

p= 2(b/4 + 1/2) + 2(b/2 + 1)

p= 2b/4 +2/2 + 2b/2 +2

p= 1/2b + 1 + b + 2

p= 3/2b + 3

Simplified it's 3b/2 +3

Answer:

26

Go it correct in big math ideas.

Step-by-step explanation:

We have that

The area of quadrilateral is easily determined by assessing the shape and determining the right equation to calculate with.

From the Question we are told that

Quadrilateral ABCD.

Generally the equation for the  Quadrilateral ABCD  is mathematically given as

With a quadrilateral with two equal sides such as Squares ,Parallelogram, Rectangle,Rhombus their areas are straight forward

A= One Horizontal side * One Vertical side

But for unequal quadrilateral like

Trapezium

\(A=\frac{a+b}{2}*h\\\)

Where a and b are the top and bottom side respectively

In conclusion

The are many  Quadrilateral of variant shapes Squares ,Parallelogram, Rectangle,Rhombus. The area of quadrilateral is easily determined by assessing the shape and determining the right equation to calculate with.

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The given statements are as follows:

b. If f is not one-to-one on the interval (a,b), then the area of the surface generated when the graph of f on [a,b] is revolved about the x-axis is undefined.

The statement in part b is false. A counterexample would be the graph of f(x) = x^2 on the interval [-1,1). The function is not one-to-one on this interval since both -1 and 1 map to the same value, but the surface area generated when the graph is revolved around the x-axis is approximately 7.62 square units. Therefore, the statement is not true.

The statement claims that if a function is not one-to-one on an interval, then the surface area generated by revolving its graph around the x-axis is undefined. However, the counterexample of f(x) = x^2 on [-1,1) disproves this statement. Even though the function is not one-to-one on the interval, it still has a well-defined surface area when revolved around the x-axis. Therefore, the statement is false.

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Answer:

это будет 1000000000000

Answer:

2km

Step-by-step explanation:

Answer:

Slope = 3

Step-by-step explanation:

(2, 0)

(0, -6)

(-6-0)/(0-2) = -6/-2 = 3 = m

4 liters of the 40% acid solution should be mixed with 8 liters of the 25% acid solution to obtain 12 liters of a 30% acid solution.

what is algebraic expression?

An algebraic expression is a combination of variables, constants, and mathematical operations, such as addition, subtraction, multiplication, and division. It may also contain exponents and parentheses.

Let x be the number of liters of the 40% acid solution needed.

To obtain a 30% acid solution by mixing a 40% acid solution and a 25% acid solution, the following equation can be used:

0.4x + 0.25(8) = 0.3(x + 8)

Simplifying and solving for x, we get:

0.4x + 2 = 0.3x + 2.4

0.1x = 0.4

x = 4

Therefore, 4 liters of the 40% acid solution should be mixed with 8 liters of the 25% acid solution to obtain 12 liters of a 30% acid solution.

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Possible Answers:

30 Square feet                  ⭐⭐⭐⭐⭐

10 Square Yards                ⭐⭐⭐⭐⭐

12960 square inches        ⭐⭐

8.36127 square meters     ⭐

The C program for RK 4th order .

C program,

#include<stdio.h>

//differential equation "dy/dx = (y-2*x*y)"

float f(float x, float y)

{

return(y-2*x*y);

}

int main()

{

// Finds value of y for a given x using step size h

int i,n;

float x0,y0,x,h,k1,k2,k3,k4;

printf("Enter the value of x:");

scanf("%f",&x);

//initial value y0 at x0.

printf("Enter the initial value of x & y:");

scanf("%f%f",&x0,&y0);

//step size

printf("Enter the value of h:");

scanf("%f",&h);

//prints the initial value of y at x and step size.

printf("x0=%f\t yo=%f\t h=%f\n",x0,y0,h);

//Count number of iterations using step size or

//step height h

n=(x-x0)/h;

// Iterate for number of iterations

for(i=1;i<=n;i++)

{

//Apply Runge Kutta Formulas to find

//next value of y

k1 = h*f(x0,y0);

k2 = h*f(x0+h/2,y0+k1/2);

k3 = h*f(x0+h/2,y0+k2/2);

k4 = h*f(x0+h,y0+k3);

//Update next value of y

y0 = y0+(k1+2*k2+2*k3+k4)/6;

//Update next value of x

x0=x0+h;

}

//print the value of y at entered value of x.

printf("at x=%f\t,y=%f\n",x,y0);

return 0;

}

Solution of DE,

y' = y - 2xy, y(0) = 1

The task is to find value of unknown function y at a given point x.

Below is the formula used to compute next value yn+1 from previous value yn. The value of n are 0, 1, 2, 3, ….(x – x0)/h.

Here h is step height and xn+1 = x0 + h

\(K_{1} = h f(x_{n} ,y_{n} )\)

\(K_{2} = hf( x_{n} + h/2 , y_{n} + K_{1}/2 )\)

Thus,

\(y_{n+1} = y_{n} + K_{1} / 6 + K_{2} / 3 + K_{3} / 3 + K_{4} / 6 +O(h^{5} )\)

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If one of the effects is substantial, it should be included in the analysis as a control variable.

If none of the effects are important, the analysis may need to be redone with a more comprehensive model or a bigger sample size.

If you conduct a two-way between-subjects ANOVA and discover that the interaction F-test is important, the next thing to do is to interpret the results.

You may be interested in estimating the main effects of each variable and the interaction effect.

In a two-way ANOVA, a statistical method is employed to identify the interactions between two variables.

ANOVA stands for analysis of variance.

It is a statistical method used to compare two or more populations by analyzing the variance between them.

F-test is a statistical method used to compare two variances or to test hypotheses about whether two population variances are equal.

It can be used to compare more than two variances in ANOVA.

When the interaction effect in a two-way between-subjects ANOVA is important, the interpretation of the main effects of each variable and the interaction effect must be done.

If one of the effects is substantial, it should be included in the analysis as a control variable.

If none of the effects are important, the analysis may need to be redone with a more comprehensive model or a bigger sample size.

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The statement "the expected value of an unbiased estimator is equal to the parameter whose value is being estimated" is true.

An estimator is a function of the sample data used to estimate the value of a population parameter. An estimator is said to be unbiased if its expected value is equal to the true value of the population parameter. In other words, if we were to repeatedly take samples from the population and calculate the estimator for each sample, the average value of the estimator over all the samples would be equal to the true value of the population parameter. The expected value of an unbiased estimator is a key property because it ensures that the estimator is not systematically overestimating or underestimating the population parameter. Instead, the estimator provides an unbiased estimate of the population parameter on average across all possible samples. It is important to note that not all estimators are unbiased. Biased estimators may systematically overestimate or underestimate the population parameter, leading to incorrect conclusions. Therefore, unbiasedness is a desirable property for an estimator to have.

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Answer:

You would expect to win the game 16 times.

Step-by-step explanation:

I set up a proportion for this :

2/7 = x/56

2(56) = 7x (cross multiply)

112 = 7x (multiply 2 and 56)

x = 16 (divide 7 from both sides)

:)

Answer:

what?

Step-by-step explanation:

Answer:

what you mean

I do not understand what this means

0<=x<=90 is the correct answer.The domain of the function V(x) = 0.1x, representing the Volume of water in the bucket after x seconds, is  0<=x<=90

The volume of water in the bucket after x seconds can be represented by the function V(x) = 0.1x, where x is the number of seconds.

To determine the domain of this function, we need to consider any restrictions on the independent variable x. In this case, the domain represents the possible values of x that make sense in the given context.

The rate at which Lourdes is filling the bucket is 0.1 gal/s. This implies that she can fill the bucket at a constant rate for any positive number of seconds. However, it is not meaningful to consider negative values for x, as we are interested in measuring time in seconds from the moment she starts filling the bucket

Therefore, the domain of the function representing the volume of water in the bucket after x seconds is x ≥ 0, which means x can take any non-negative value or zero.

The domain of the function V(x) = 0.1x, representing the volume of water in the bucket after x seconds, is x ≥ 0.

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Answer:

D. 2(33) + 2ℓ ≥ 776; ℓ ≥ 355; A ≥ 33(355)

Step-by-step explanation:

Answer:

Width of the rectangle is given to be 33 centimeters

Let the Length of the rectangle be x centimeters

So, Perimeter of rectangle is given by formula : Perimeter = 2 × (Length + Width)

⇒ Perimeter = 2 × (x + 33)

⇒ Perimeter = 2x + 66

Now, The perimeter of the rectangle is at least 776 centimeters

⇒ Perimeter > 2x + 66

⇒ 776 > 2x + 66

⇒ 2x < 710

⇒ x < 355

So, The length of the rectangle must be less than 355 cm

⇒ Area of the rectangle < 355 × 33

⇒ Area of the rectangle < 11715 cm²

Answer:

-12

Step-by-step explanation:

Since we can subtract 12 from -2 and get -14, we might try subtracting 12.

\(x^{2} + 2x - 15 = 0\) -> \((x+1)^{2} - 16 = 0\)

-> \((x+1)^{2} = 16\)
-> x+ 1 = 4 or -4
-> x = 3 or -5

Answer:

\(x=3, \quad x=-5\)

Step-by-step explanation:

Given quadratic equation:

\(x^2+2x-15=0\)

Step 1

Move the constant to the right side of the equation:

\(\implies x^2+2x-15+15=0+15\)

\(\implies x^2+2x=15\)

Step 2

Add the square of half the coefficient of the term in x to both sides to form a perfect square trinomial on the left side:

\(\implies x^2+2x+\left(\dfrac{2}{2}\right)^2=15+\left(\dfrac{2}{2}\right)^2\)

\(\implies x^2+2x+1=15+1\)

\(\implies x^2+2x+1=16\)

Step 3

Factor the perfect square trinomial on the left side:

\(\implies (x+1)^2=16\)

Step 4

Square root both sides:

\(\implies \sqrt{(x+1)^2}=\sqrt{16}\)

\(\implies x+1=\pm4\)

Step 5

Subtract 1 from both sides:

\(\implies x+1-1=-1\pm4\)

\(\implies x=-1\pm4\)

Solutions

\(\implies x=-1+4=3\)

\(\implies x=-1-4=-5\)

Therefore, the solutions of the given quadratic equation are:

\(x=3, \quad x=-5\)

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Gursoy's purchase level should be 0.3.

According to the given data, we have the following:

Mean demand, μ = 100

Standard deviation, σ = 30

Purchase price = $10

Selling price = $25

Hence, Cost of under-ordering, Cu = $25 - $10 =$15

Cost of over-ordering, Co = $10 + $25 =$35

Therefore, the calculation of optimal purchase level is calculated as follows:

purchase level = Cu / (Cu + Co)

purchase level = $15 / ($15 + $35)

purchase level = $15 / $50

purchase level = 0.3

The purchase level would be 0.3.

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From the question the transformations that non-rigid is dilation. The correct answer is B.

Any transformation of a geometric object that alters the size but not the shape is referred to as a nonrigid transformation. Examples of non-rigid types of transformation include stretching and dilation. Any action taken on a shape is referred to as a metamorphosis.

Rigid transformation is When a figure undergoes a stiff transformation, its size and shape are left unaltered. Because the image is unchanged, stiff transformations include translations, rotations, and reflections.

As a result, a dilation is a non-rigid transformation because the size of the image is changing.

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Answer:

1 cup = 1/2 pint

Step-by-step explanation:

Answer:

a) n = 4(n-1)+1    

b) 397

c) 19900

Step-by-step explanation:

The profit margins (return on sales) for each division are approximately :Division A = 10.85%,Division B = 9.11% and The calculations for the year would be:Net Income = $85,428,Return on Assets = 18.9%.

To compute the profit margins (return on sales) for each division, we divide the profit by the sales and multiply by 100 to express the result as a percentage.

For Division A:

Profit Margin = (Profit / Sales) * 100

Profit Margin = ($230,000 / $2,120,000) * 100

Profit Margin ≈ 10.85%

For Division B:

Profit Margin = (Profit / Sales) * 100

Profit Margin = ($34,700 / $381,000) * 100

Profit Margin ≈ 9.11%

To calculate the net income and return on assets for Polly Esther Dress Shops Inc., we use the given information.

Net Income = Profit Margin * Sales

Net Income = 7% * $1,220,400

Net Income = $85,428

Return on Assets = Profit Margin * Asset Turnover

Return on Assets = 7% * 2.7

Return on Assets = 18.9%

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From the graph, the domain is all real. The range is y <= 4