I need the unit rate and graph the answer please the question is attached.

The smallest sample size n that provides the desired accuracy is 10.

To find the smallest sample size n that provides the desired accuracy, we can use the formula:

n = (Z-value * standard deviation / margin of error)²

Where:
Z-value = the critical value for the desired confidence level (in this case, 1.96 for 95% confidence)
Standard deviation = the preliminary sample standard deviation (1.5 in this case)
Margin of error = the desired accuracy (0.3 units in this case)

Substituting the values, we get:

n = (1.96 * 1.5 / 0.3)²
n = 9.8

Since we cannot have a fractional sample size, we round up to the nearest whole number, giving us:

n = 10

Therefore, the smallest sample size n that provides the desired accuracy is 10.

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THE Answer is

x-11=3

??

and the number is 14

Answer:

X - 11 = 3

Step-by-step explanation:

3 is the answer and 11 is the part that is being subtracted. In subtraction the smaller number comes second which is why the question says minus 11.

Answer:

Step-by-step explanation:

x2 + 5x + 4  (the area of the rectangle)

x + 2   (the length of one side)

(x2 + 5x + 4)/(x + 2)

do a division of this polynomial and you get;    (x + 3) - 2/(x+2), you could leave the answer like this or you could simplify by using the LCM method

= [(x+2)(x+3) - 2]/(x + 2)

checking; (x + 2)*[(x+2)(x+3) - 2]/(x + 2) = (x+2)(x+3) - 2 = x2 +5x + 6 - 2 = x2 +5x + 4 (proven)

Answer:

2, -2

Step-by-step explanation:

(x)(x) has to be 4

Therefore it is 2 and negative 2 because (2)(2)=4, (-2)(-2)=4

The dimensions of \(\(\mathbb{R}^n\)\) and \(\(\mathbb{R}^m\)\) are n and m, respectively.

The linear transformation \(\(t: \mathbb{R}^n \rightarrow \mathbb{R}^m\)\) is defined by \(\(t(v) = Av\)\), where A is the matrix \(\(\begin{bmatrix} -1 & 0 \\ -1 & 0 \\ \vdots & \vdots \\ -1 & 0 \end{bmatrix}\)\) of size \(\(m \times n\)\)and v is a vector in \(\(\mathbb{R}^n\)\).

To find the dimensions of \(\(\mathbb{R}^n\)\) and \(\(\mathbb{R}^m\)\), we examine the number of rows and columns in the matrix A.

The matrix A has m rows and n columns. Therefore, the dimension of \(\(\mathbb{R}^n\)\) is n (the number of columns), and the dimension of \(\(\mathbb{R}^m\)\) is m (the number of rows).

Therefore, the dimensions of \(\(\mathbb{R}^n\)\) and \(\(\mathbb{R}^m\)\) are \(n\) and \(m\), respectively.

A function from one vector space to another that preserves the underlying (linear) structure of each vector space is called a linear transformation. A linear operator, or map, is another name for a linear transformation.

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The sample size is 1727 points for given data . Sample size is defined as the number of observations used to determine estimates for a given population. Sample size was drawn from the population .

In this question we want to find the sample size and so let's, look at the formula that is given by, the value at over 2, divided by a margin of error, whole squared times p into 1 minus p.

N= ( Z ₐ / E)² p (1-p)

In this case , Z --> Z-Score

E --> error value

P --> estimated proportion or if given standard deviations

Given that, estimate error is 2% that is margin (E) = 2% = 2/100 =0.02

Now, what we have is our confidence level and our made error, so our estimate has been given us 2 percent or confidence level is 99 percent. Now, let's get our Z values, so we use alpha(a) to find out. For alpha value 1 minus 0.99 , we get 0.01. now we are going to be 0.01 divide by 2 and get 0.005 . So, the corresponding value of Z ₀.₀₀₅ is 2.576 . The only value of p is 11.8% (year 2000 estimate ) of what is required for getting an answer

= 118/1000= 0.118

Finally, we put all these values into formula of sample size , i.e.,

N= ( 2.576 / 0.02)² (0.118 )(1- 0.118) = 1726.56 1727

Our sample size is , 1727 point.

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X = 700 m and Y = 350 m will require the least amount of fencing.

Area of a rectangular field = length × breath =  245000 = XY

⇒ Y = 245000/X

Perimeter of a rectangular field = X + 2Y

⇒P = X+ 2Y

⇒P = X + 490000/X

⇒ X + 490000X⁻¹

⇒P [X] =  X + 490000X⁻¹

⇒P'[X] = 1+[-490000X⁻²]

⇒0 = 1 - 490000/X²

⇒X²= 490000

⇒X = 700 unit

As XY = 245000  [ area of a rectangle ]

⇒700Y = 245000

⇒Y = 350 unit.

Hence , P is minimum [ fencing ] when X = 700 unit and Y = 350 unit.

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Step-by-step explanation:

\(6(8v - 7) - 10 \\ 48v - 42 - 10 \\ 48v - 52\)

Answer

x>21.2

Step-by-step explanation:

7.55x+100>160:

subtract 100 on both sides to get:

7.55x>60:

divide 7.55 on both sides:

x>21.2 is your answer  

Answer:

7.50h + 100 > 160

Step-by-step explanation:

7.50 is the hourly wage

h = hours he worked

add 100 once because it's his tips for the amount of time her worked

since he worked more than 160, you'll use the greater sign

then solve for h

h = 8 hours

The graph that best represents the number of paperback and hardcover books Emily can buy within her budget is a scatter plot with the points (0,4), (2,3), (4,2), (6,1), and (8,0) connected by a line.

To determine which graph best represents the number of paperback and hardcover books Emily can buy within her budget, we need to consider the cost of each type of book and her spending limit. Since Emily wants to spend no more than $45, we can create an equation to represent her budget:
4.5p + 10h ≤ 45
Where p is the number of paperback books and h is the number of hardcover books she can buy.
To graph this equation, we can first solve for h:
10h ≤ 45 - 4.5p
h ≤ 4.5 - 0.45p
This shows that the maximum number of hardcover books Emily can buy depends on the number of paperback books she purchases.
Next, we can create a table to show the different combinations of paperback and hardcover books that fit within her budget:
| # of Paperbacks | # of Hardcovers | Total Cost |
|----------------|----------------|------------|
| 0              | 4              | $40        |
| 2              | 3              | $40.50     |
| 4              | 2              | $41        |
| 6              | 1              | $41.50     |
| 8              | 0              | $42        |

From this table, we can see that Emily can buy a maximum of 8 paperback books or 4 hardcover books within her budget. To graph this information, we can create a scatter plot with the number of paperback books on the x-axis and the number of hardcover books on the y-axis. We can then plot the points (0,4), (2,3), (4,2), (6,1), and (8,0) and connect them with a line to show the maximum number of books Emily can buy within her budget. Therefore, the graph that best represents the number of paperback and hardcover books Emily can buy within her budget is a scatter plot with the points (0,4), (2,3), (4,2), (6,1), and (8,0) connected by a line.

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Answer:

Step-by-step explanation:

21.925

The angles of rotations that will carry this equilateral triangle into itself are (b) and (c)

The triangle is an equilateral triangle

The angles in an equilateral triangle is 60 degrees

This angle also represent the angle of rotation that will carry this equilateral triangle into itself

The other angle of rotations that will carry this equilateral triangle into itself are multiples of 60

i.e. 120, 180, 240

Hence, the angles of rotations that will carry this equilateral triangle into itself are (b) and (c)

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Answer:

14

Step-by-step explanation:

Starting with 11x-3=8:

Add 3 to both sides:

11x = 11

Divide both sides by 11:

x = 1

Now we can substitute x=1 into 6x+8:

6(1)+8 = 6+8 = 14

Answer:

Step-by-step explanation:

First, solve for x.

11x - 3 = 8

      +3   +3

11x = 11

/11     /11

x = 1

Then, plug in the value for x.

6 (1) + 8

= 14

Answer:

7 nits

Step-by-step explanation:

bc I just graphs on Desmos an give me the answer

Answer:

The answer you've chosen is correct: 14.91cm

Step-by-step explanation:

Answer:

Remember that the area of a square of sidelength L is:

A = L^2

And the area of a circle of diameter D is:

A = pi*(D/2)^2

If we inscribe a square in a circle, we will get four segments, like the ones shaded in the image below:

Notice that the diameter of the circle will be equal to the diagonal of the square.

And the diagonal of a square of side length L is:

d = √(2)*L

knowing that the side length of our square is 6 inches, the diameter of the circle will be:

D = √2*6in

Now, the total area of the four shaded parts will be equal to the difference between the area of the circle and the area of the square.

The area of the circle is:

A = pi*(√2*6in/2)^2 = (pi/2)*36in^2

The area of the square is:

A' = (6in)^2 = 36in^2

The difference is:

A - A' =  (pi/2)*36in^2 - 36in^2 = (pi/2 - 1)*36in^2

And there are 4 of these segments, then the area of every single one is one-fourth of that:

a = (1/4)*(pi/2 - 1)*36in^2 = (pi/2 - 1)*9 in^2

The area of each segment is:

a =  (pi/2 - 1)*9 in^2

if we replace pi by 3.14, the exact area will be:

a = (3.14/2 - 1)*9in^2 = 5.13 in^2

Two triangles are similar but not congruent if they have three congruent angles but the side lengths are not equal.

What is the congruency of triangles?

To show how can the triangles be proven similar by the SSS similarity theorem:

The two triangles can be shown to be similar given that the ratios of the corresponding sides ΔWUV and ΔYXZ are constant

Reason:

Known parameters are:

ΔWUV and ΔXZY are shown:

∠VUW ≅ ∠YXZ

∠UWV ≅ ∠XZY

∠UVW ≅ ∠ZYX

Length of side VW = 60

Length of side VU = 50

Length of side UW = 40

Length of side  ZY = 48

Length of side  YX = 40

Length of side  XZ = 32

The ratio of the sides are:

\(\frac{VW}{ZY} =\frac{60}{48} =\frac{5}{4} \\\frac{VU}{YX} =\frac{50}{40} =\frac{5}{4} \\\frac{UW}{XZ} =\frac{40}{32} =\frac{5}{4}\)

Therefore, given that  the angles of ΔWUV and ΔXZY are all congruent, and the sides of triangle ΔWUV and ΔXZY have a constant proportion, we have that the two triangles are congruent by the Side-Side-Side SSS congruency theorem,  and we have:

ΔWUV ~ ΔYXZ given that ΔYXZ is a scaled drawing of ΔWUV.

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The complete question is given here:

Triangles W U V and X Z Y are shown. Angles V U W and Y X Z are congruent. Angles U W V and X Z Y are congruent. Angles U V W and Z Y X are congruent. The length of side V W is 60 and the length of side Z Y is 48. The length of side Y X is 40 and the length of V U is 50. The length of side U W is 40 and the length of X Z is 32.

How can the triangles be proven similar by the SSS similarity theorem?

To access the first element of an array of integers called "numbers," you can use the expression:
numbers[0]`
This expression uses the array name "numbers" and the index "0" to access the first element.

To access the last element of "numbers," assuming it contains 10 elements, use the expression:

`numbers[9]`

Here, we use the index "9" since arrays are zero-indexed, meaning the last element in a 10-element array has an index of 9.
To access the first element of the array called numbers, we would use the expression "numbers[0]."

To access the last element of the array, assuming it contains 10 elements, we would use the expression "numbers [9]" since arrays are zero-indexed in most programming languages.

To access the last element of the array regardless of its length, we can use the expression "numbers [numbers.length-1]," which subtracts 1 from the length of the array to access the last element.
To access the last element, regardless of its length, use the expression:

'numbers [numbers. length - 1]'

This expression uses the "length" property of the array to find the total number of elements and subtracts 1 to get the correct index for the last element.

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The length of the diagonal is 8√2 ft.

If the side of the square is 8 ft, then the diagonal will form a right triangle with legs of length 8 ft. We can use the Pythagorean theorem to find the length of the diagonal (hypotenuse).

Pythagorean theorem states that in a right triangle, the sum of the squares of the lengths of the legs is equal to the square of the length of the hypotenuse.

In this case, we have:

a = 8 ft (one leg)

b = 8 ft (the other leg)

c = ? (the hypotenuse)

Using the Pythagorean theorem, we have:

c² = a² + b²

c² = 8² + 8²

c² =  64 + 64

c² = 128

c = √128

c = 8√2 ft

Therefore, the length of the diagonal is 8√2 ft.

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a. The unemployment rate is 20%.

b. The labor-force participation rate is 60%.

According to the question,

Working age population- 100,000

Labour force - 60,000

Unemployed - 12000 instructions

a) The unemployment rate is the percentage of the labor force that is unemployed and it is calculated as follows:

Unemployment Rate = \(\frac{Number of unemployed People}{Labor force}\) × 100

When an unemployed population is 12,000 and the labor force is 60,000,

the unemployment rate is  = \(\frac{12000}{60000}\) × 100 = 20%

b) labor force participation rate is the percentage of working adult population that participates in labor either by actively looking for a job, or working. It is calculated as follows:

Labor Force Participation Rate = \(\frac{Labor force}{working age population}\) × 100

When the labor force is 60,000 and the working-age population is 100,000

Labor Force Participation Rate = \(\frac{60000}{100000}\) × 100 = 60%

So, a. The unemployment rate is 20%.

b. The labor-force participation rate is 60 %.

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The volume of the solid enclosed by the surface z = sqrt\((4 - x^2 - y^2\\\)) and the plane z = 0 is (16/3)π.

To determine the volume of the solid enclosed by the surface z = sqrt\((4 - x^2 - y^2\)) and the plane z = 0, we need to set up a triple integral over the region R in the xy-plane where the surface intersects with the plane z = 0.

The surface z = sqrt(4 - x^2 - y^2) intersects with the plane z = 0 when 4 - \(x^2 - y^2\) = 0, which is the equation of a circle of radius 2 centered at the origin. So, we need to integrate over the circular region R: \(x^2 + y^2\) ≤ 4.

Thus, the volume enclosed by the surface and the plane is given by:

V = ∬(R) f(x,y) dA

where f(x,y) = sqrt(4 - \(x^2 - y^2\)) and dA = dx dy is the area element in the xy-plane.

Switching to polar coordinates, we have:

V = ∫(0 to 2π) ∫(0 to 2) sqrt(4 - \(r^2\)) r dr dθ

Using the substitution u = 4 - r^2, we have du/dx = -2r and du = -2r dr. Thus, we can write the integral as:

V = ∫(0 to 2π) ∫(4 to 0) -1/2 sqrt(u) du dθ

= ∫(0 to 2π) 2/3 (\(4^(3/2)\)- 0) dθ

= (16/3)π

Therefore, the volume of the solid enclosed by the surface z = sqrt(4 - \(x^2 - y^2\)) and the plane z = 0 is (16/3)π.

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A) Let the side length of the square base be x, and the height of the box be h. Then, the volume of the box is given by:

V = \(x^2\) * h = 8500

Solving for h, we get:

h = 8500 / \(x^2\)

The surface area of the box can be expressed as:

S = 2x^2 + 4xh

Substituting the value of h obtained above, we get:

S = \(2x^2\) + 4x(8500 / \(x^2\)) = 2\(x^2\)+ 34000 / x

Thus, the surface area of the box can be expressed as a function of x.

B) To graph the function, plot the surface area (S) on the y-axis and the side length of the square base (x) on the x-axis. Since x cannot be negative, the domain of the function is (0, infinity). As x gets very large or very small, the surface area approaches infinity, so we should only graph the function for values of x that make sense in the context of the problem.

C) The minimum amount of cardboard required to construct the box is equal to the surface area of the box. To find the minimum surface area, we need to find the minimum of the function S(x) obtained in part A.

D) To find the dimensions of the box that minimize the surface area, we need to find the value of x that minimizes the function S(x). We can do this by taking the derivative of S(x) with respect to x, setting it equal to zero, and solving for x. This gives us:

dS/dx = 4x - 34000/\(x^2\) = 0

Multiplying both sides by \(x^2\) and solving for x, we get:

x = (8500/2\()^(1/3)\) ≈ 18.3

Therefore, the dimensions of the box that minimize the surface area are a square base with side length of approximately 18.3 inches, and a height of:

h = 8500 / \(x^2\) ≈ 26.2 inches

E) UPS might be interested in designing a box that minimizes the surface area because it can reduce the amount of cardboard used in each box, resulting in cost savings and a reduced environmental impact. Additionally, minimizing the surface area of a box can make it more efficient to stack and transport, reducing shipping costs and making the overall process more sustainable.

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A) The Surface Area = \(X^2 + 34000/X\)

B) The y-axis and the side length X on the x-axis.

C) The minimum amount of cardboard required to construct the box is approximately 1649.39 square inches.

D) The dimensions of the box that minimize the surface area are X = 20.5 inches and Y = 16.87 inches.

E)  Smaller boxes take up less space in delivery trucks and planes, allowing more packages to be shipped at once and reducing transportation costs.

A) Express the surface area of the box as a function of X:

Let the side length of the square base be X and the height of the box be Y. Then, we know that the volume of the box is 8500 cubic inches, so:

\(X^{2Y} = 8500\)

To find the surface area of the box, we need to add up the area of each face. There are 5 faces in total (the bottom square and 4 identical rectangular sides), so:

Surface Area = \(X^2 + 4XY\)

We can substitute the value of Y from the equation for volume, giving:

Surface Area = \(X^2 + 4X(8500/X^2)\)

Surface Area = \(X^2 + 34000/X\)

B) Graph the function found in part a:

To graph this function, we can plot the surface area on the y-axis and the side length X on the x-axis. The graph will have a minimum value, which we can find using calculus or by using a graphing calculator.

C) What is the minimum amount of cardboard that can be used to construct the box:

The minimum amount of cardboard required to construct the box is the surface area of the box. To find this minimum value, we need to find the minimum point on the graph in part b. From the graph or by using calculus, we can see that the minimum occurs at X = sqrt(8500/5) = 20.5 inches. Substituting this value into the equation for surface area, we get:

Surface Area = \(20.5^2 + 4(20.5)(8500/20.5^2)\)= 1649.39 square inches

D) What are the dimensions of the box that minimize the surface area:

From part c, we know that the minimum occurs at X = sqrt(8500/5) = 20.5 inches. To find the height of the box, we can substitute this value of X into the equation for volume:

\(X^2Y = 8500\)

\((20.5)^2 Y = 8500\)

\(Y = 8500/(20.5)^2 = 16.87\) inches

E) Why might UPS be interested in designing a box that minimizes the surface area:

UPS and other parcel delivery services are always looking for ways to reduce their costs and increase efficiency. By designing a box that minimizes the surface area while still containing the same volume of goods, they can reduce the amount of cardboard used for each shipment. This would save them money on materials and shipping costs, while also reducing their environmental impact. Additionally, smaller boxes take up less space in delivery trucks and planes, allowing more packages to be shipped at once and reducing transportation costs.

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(A) Algorithms are mathematical formulas placed in software that performs an analysis on a data set.

Therefore, (A) algorithms are mathematical formulas placed in software that performs an analysis on a data set.

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The measures of x for the similar triangles are given as follows:7

11. x = 5.

12. x = 13.

13. x = 7.

14. x = 8.

For similar triangles, the equivalent side lengths are proportional, hence proportional equations are built to find the measures of x.

For item 11, the equation is given as follows:

44/55 = 48/(13x - 5)

4/5 = 48/(13x - 5)

Applying cross multiplication:

4(13x - 5) = 48 x 5

52x = 260

x = 260/52

x = 5.

For item 12, the equation is given as follows:

30/(5x - 11) = 65/117

65(5x - 11) = 30 x 117

325x = 4225

x = 4225/325

x = 13.

For item 13, the equation is given as follows:

65/169 = (7x + 1)/130

169(7x + 1) = 130 x 65

1183x = 8281

x = 8281/1183

x = 7.

For item 14, the equation is given as follows:

21/35 = (4x - 2)/50

3/5 = (4x - 2)/50

20x - 10 = 150

20x = 160

x = 160/20

x = 8.

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Among the given options, the only variable that is a discrete random variable is a) the number of patients in a hospital.

a. the number of patients in a hospital

A discrete random variable is a variable that can only take on a finite or countably infinite set of distinct values. In this case, the number of patients in a hospital can only be whole numbers (e.g., 0, 1, 2, 3, etc.), which is a countable set of values. Therefore, it is a discrete random variable.

b. the average amount of electricity consumed

The average amount of electricity consumed is not a discrete random variable but a continuous random variable. It can take on any real number value within a certain range, and it is not restricted to specific distinct values.

c. the amount of paint used in repainting a building

The amount of paint used in repainting a building can be measured in continuous quantities (e.g., liters or gallons). It is not restricted to specific distinct values, and therefore, it is not a discrete random variable.

d. the average weight of female athletes

Similar to the average amount of electricity consumed, the average weight of female athletes is not a discrete random variable but a continuous random variable. It can take on any real number value within a certain range and is not restricted to specific distinct values.

Among the given options, the only variable that is a discrete random variable is a) the number of patients in a hospital.

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The distance is calculated to be 3.54 units.

The formula for the distance between a point (x₁, y₁, z₁) and a plane Ax + By + Cz + D = 0 is given by:

\[ \text{Distance} = \frac{{\lvert Ax₁ + By₁ + Cz₁ + D \rvert}}{{\sqrt{A² + B² + C²}}} \]

In this case, the point is (6, 10, 0) and the equation of the plane is 3y + 6z = 0. We can rewrite the equation in the form Ax + By + Cz + D = 0 by setting A = 0, B = 3, C = 6, and D = 0.

Plugging in the values into the formula, we have:

\[ \text{Distance} = \frac{{\lvert 0(6) + 3(10) + 6(0) + 0 \rvert}}{{\sqrt{0² + 3² + 6²}}} = \frac{{\lvert 30 \rvert}}{{\sqrt{45}}} \approx 3.54 \]

Therefore, the distance between   the point (6, 10, 0) and the plane 3y + 6z = 0 is approximately 3.54 units.

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Answer:

Step-by-step explanation:

−

3

d

+

26

−

2

e

=

0

−

d

−

2

+

2

e

=

0

Answer:

(6,4) is the answer

Step-by-step explanation:

Answer:

-19Step-by-step explanation:

Answer:

322 beavers

Step-by-step explanation:

280 × 1.15 = 322

Answer:

322

Step-by-step explanation:

15% of 280=42

280+42=322 beavers