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By the concept of linear inequation,

Maximum distance from the center of the disc that the coin can be placed without it slipping off = 0.037 m

What is linear inequation?

Inequation shows the comparision between two algebraic expressions by connecting the two algebraic expressions by \(> , < . \geq, \leq\)

A one degree inequation is known as linear inequation.

Here the concept of linear inequation will be used.

Speed of rotation = 2rev/s

                             = \(2 \times 2 \times 3.14 \\\) rad/s

                             = 12.56 rad/s

For the coin not to slip,

\(\mu_smg \geq m\omega^2r\\0.6 \times 9.8 \geq (12.56)^2 \times r\\r \leq \frac{0.6 \times 9.8}{12.56}\\ r \leq 0.037 \ m\)

Maximum distance from the center of the disc that the coin can be placed without it slipping off = 0.037 m

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Answer: $30 and 1 cent more

$60.50 - $30.50 = $30

0.12 - 0.11 = 0.01

I hope this helps.

la respuesta para la ecuación es -5

This is an example of Stratified probability sampling, because here the samples are drawn at random and the conclusions based are  generalised to the population as a whole

A researcher conducting a study on streaming services divides the population of Netflix subscribers into four groups of users based on the type of material viewed and then sampling from within those groups. This is an example of what type of sampling?This is an example of Stratified probability sampling.What is stratified probability sampling?Stratified sampling is a type of probability sampling that divides the population into subgroups or strata based on relevant characteristics. The strata are then randomly chosen, and samples are obtained from within each stratum.

Stratified sampling may be useful in situations where researchers want to obtain a representative sample of a population while simultaneously ensuring that the sample is sufficiently representative of different subgroups within the population. It might be used, for example, in a study of people's attitudes about social media, with strata based on age or socioeconomic status.Stratified sampling, like all probability sampling methods, has the advantage of ensuring that the sample is representative of the population from which it was drawn. Because samples are drawn at random, the conclusions based on them can be generalised to the population as a whole.

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Step-by-step explanation:

isosceles triangle (|>) this but right side up

Data can be divided on the basis of qualitative nature into two types as follows:

Thus, it is clear that nominal data can not be ranked or ordered but ordinal data are the type of qualitative data that are categorised and then ranked or ordered.

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The cost of materials for the least expensive such container is 245.31 dollars .

Suppose the width of container is x (m),

length of the base of container is 2x (m)

the base area of container is (length × width)sq. m i.e 2x² meter².

Since the volume of container is 10 m³.

the height of container = area of container/ volume of container

height of container= 10/2x² m = 5/x² m

The cost of making such container is cost of base = 2x²*10 = 20x².

cost of sides of container = (2×2x × 5/x² + 2× x × 5/x²)×6 = 180/x

The overall cost is hence the sum of the base and the sides: f(x) = 20x² + 180/x

The get the minimum,

df(x)/dx = 20×(2x - 9/x²) = 0

so 2x = 9/x^2 => 2x = 2.0800 ==> x = 1.651 m

f(x) = 245.31 dollars

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This value represents the present worth below which the probability is 0.5, indicating a negative present worth.

To estimate the probability that the present worth is negative using the NORM.INV function in Excel,

we need to calculate the present worth of the project and then determine the corresponding probability using the normal distribution.

The present worth of the project can be calculated by finding the sum of the present values of the annual receipts over the 10-year period, minus the initial investment. The present value of each annual receipt can be calculated by discounting it back to the present using the minimum attractive rate of return (MARR).

Using the given information, the present value of the initial investment is $10,000. The present value of each annual receipt is calculated by dividing the expected return of $1,800 by \((1+MARR)^t\),

where t is the year. We then sum up these present values for each year.

We can use the NORM.INV function in Excel to estimate the probability of a negative present worth. The function requires the probability value, mean, and standard deviation as inputs.

Since we have a mean and standard deviation for the present worth,

we can calculate the corresponding probability of a negative present worth using NORM.INV.

This value represents the present worth below which the probability is 0.5. By using the NORM.INV function,

we can estimate the probability that the present worth is negative based on the given data and assumptions.

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We must determine the value of y at x = 0.2 in order to numerically solve the equation y = (x + 1) with the initial condition y(0) = 1 and a step size of h = 0.1. The right response is 1.2.

We can utilise the Euler's method or any other numerical integration method to solve the issue numerically. By making small steps of size h and updating the value of y in accordance with the derivative of the function, Euler's approach approximates the value of y at a given x.

We can iteratively proceed as follows, starting with y(0) = 1, as follows:

At x = 0, y = 1.

Y = y(0) + h * f(x(0), y(0)) = 1 + 0.1 * (0 + 1) = 1.1 when x = 0.1.

Y = y(0.1) + h * f(x(0.1), y(0.1)) = 1.1 + 0.1 * (0.1 + 1) = 1.2 for x = 0.2.

So, 1.2 is the right response. This is the approximate value of y at x = 0.2 that was determined by applying a step size of h = 0.1 when solving the given problem numerically.

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Answer:

The graph of a quadratic function is a U-shaped curve called a parabola. ... If the parabola opens up, the vertex represents the lowest point on the graph, or the minimum value of the quadratic function. If the parabola opens down, the vertex represents the highest point on the graph, or the maximum value.

Step-by-step explanation:

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The relationship between the vertex and the minimum or maximum value of the parabola is given below.

A plane curve produced by a moving point such that its separation from a fixed point equals that of a fixed line is a parabola.

Let the vertex be any parabola is (x, y).

When the graph of the parabola opens up,

then the y-value of the vertex is the minimum value.

And when the graph of the parabola opens down,

then the y-value of the vertex is the maximum value.

Therefore, the explanation is given above.

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86 inches are equivalent to 7.17 feet

To convert inches to feet, you can divide the number of inches by 12 (since there are 12 inches in a foot):

86 inches ÷ 12 inches/foot = 7.17 feet

The units of measurement used to measure length or distance are inches and feet. One inch is equivalent to one-twelfth of a foot, while one foot is equal to twelve inches. As a result, you may easily convert feet to inches by multiplying the number of feet by 12. 36 inches, for instance, is equivalent to 3 feet (3 feet x 12 inches/foot).

Divide the number of inches by 12 to convert the measurement to feet. As an illustration, 24 inches (12 inches per foot) equals 2 feet.

Inches and feet are often used to measure an object's height, breadth, and length in the United States.

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Answer:

y-intercept: (0,6)

slope = -2

equation: y = -2x + 6  

Step-by-step explanation:

1) First, identify the y-intercept. The y-intercept is the point at which the line intersects the y-axis. We can see that the line crosses the y-axis at (0,6), so that must be it.

2) Now, find the slope. Pick two points from the line. I chose (0,6) and (3,0). Then, substitute the two points' x and y values into the slope formula \(m = \frac{y_2-y_1}{x_2-x_1}\)and solve:

\(m = \frac{0-6}{3-0}\\m = \frac{-6}{3}\\m = -2\)

So, the slope is -2.

3) With the found information, use the slope-intercept formula \(y = mx + b\) to write the line's equation. Substitute values for the \(m\) and \(b\).

\(m\) represents the slope, so substitute -2 in its place. \(b\) represents the y-intercept, so substitute 6 in its place. This gives the following equation:

\(y = -2x + 6\)

Answer:

17

Step-by-step explanation:

The given function is f(x) = -3x^2 + 2x + 3.

The interval(s) over which the function f(x) = -3x^2 + 2x + 3 is continuous is: x ∈ (-∞, ∞)

Steps to find the interval notation of continuous function:

For a given function, check if it has any discontinuities such as a vertical asymptote, a jump discontinuity, or a removable discontinuity.

If the function does not have any such discontinuities, then the function is continuous for all real values of x.

Write the answer using interval notation.

The given function is a polynomial function and does not have any vertical asymptotes, jump discontinuities, or removable discontinuities. Therefore, the function is continuous for all real values of x, and the interval notation for the continuous function is x ∈ (-∞, ∞).

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The new coordinates are M'(-1, -7), N'(-8, -5), O'(-4, -2), and P'(3, -4)

A 180 degrees rotation denoted by R(180, 0) is a rotation that has the same effect as the 180 degrees counterclockwise of a figure.

And it has the algebraic rule of its rotation to be changed from (x, y) to (-x, -y) i.e  (x, y) ⇒ (-x, -y)

The coordinates of the parallelogram are given as

M(1, 7), N(8, 5), O(4, 2), and P(-3, 4)

The rotation is given as 180° rotation

As mentioned above,

We have (x, y) ⇒ (-x, -y)

Substitute M(1, 7), N(8, 5), O(4, 2), and P(-3, 4) in (x, y) ⇒ (-x, -y)

So, we have

M'(-1, -7), N'(-8, -5), O'(-4, -2), and P'(3, -4)

Hence, the coordinates of the image are M'(-1, -7), N'(-8, -5), O'(-4, -2), and P'(3, -4)

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Answer:

I'm pretty sure it's 90%

Step-by-step explanation:

Answer:

Let x  be the number

Now we have,

x% of 60 =54

\(\frac{x}{100} *60=54\\\frac{x}{100} =\frac{54}{60} \\x=0.9*100\\x=90\)

Step-by-step explanation:

Answer:

3 hours

Step-by-step explanation:

We can solve using ratios

18 lbs            12 lbs

------------ = --------------

4.5 hrs          x hours

Using cross products

18x = 12 * 4.5

18x = 54

Divide by 18

18x/18 = 54/18

x=3

Answer:

3hrs.

Step-by-step explanation:

18 pound turkey cooks for 4.5 hours

for one pound : 4.5/18=0.25 hr.

0.25 hr*60=15 minutes for one pound

12*15=180 min.=3 hrs

or 12*4.5/18= 3hrs

a) The mean weight of pineapples grown in the field this year is different from the mean weight of pineapples grown last year. b) The power to detect an increase of 2 ounces in the mean weight of pineapples (μa = 33 ounces) is approximately 0.932, and the probability of making a Type 2 error with a true mean of 33 ounces is approximately 0.068.

(a) The null hypothesis (H0) and alternative hypothesis (Ha) can be written as follows:

Null Hypothesis (H0): The mean weight of pineapples grown in the field this year is equal to the mean weight of pineapples grown last year (μ = 31 ounces).

Alternative Hypothesis (Ha): The mean weight of pineapples grown in the field this year is different from the mean weight of pineapples grown last year (μ ≠ 31 ounces).

(b) To calculate the power and the probability of making a Type 2 error, we need to assume the population mean weight of pineapples this year (μa) is 33 ounces. We also need to determine the critical value for the given significance level (α) of 0.05.

Given that the sample size (n) is 30, the population standard deviation (σ) is 4 ounces, and the mean weight under the alternative hypothesis (μa) is 33 ounces, we can calculate the test statistic (z) using the formula:

z = (\(\bar x\) - μa) / (σ / √n)

where \(\bar x\) is the sample mean.

With \(\bar x\) = 31 ounces, σ = 4 ounces, μa = 33 ounces, and n = 30, we can calculate the test statistic:

z = (31 - 33) / (4 / √30)

z = -2 / (4 / √30)

z = -2 / (4 / 5.477)

z = -2 / 1.0954

z ≈ -1.825

Using a standard normal distribution table or calculator, we can find the corresponding p-value for this z-value. Let's assume it is approximately 0.034 (one-tailed test).

The power of the test can be calculated as 1 minus the probability of a Type 2 error. Since the alternative hypothesis is two-sided, we divide the significance level (α) by 2 and find the corresponding critical z-value. Let's assume it is approximately 1.96 (two-tailed test).

Now we can calculate the power using the formula:

Power = 1 - P(Type 2 Error) = 1 - P(z < -1.96 or z > 1.96)

P(Type 2 Error) = P(z < -1.96 or z > 1.96) ≈ 2 * P(z < -1.96) (assuming symmetry)

P(Type 2 Error) ≈ 2 * 0.034 ≈ 0.068

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Cluster analysis is a valuable tool in data analysis that helps identify hidden patterns and group similar objects or data points.

It is useful in various fields, such as market research, image analysis, customer segmentation, and anomaly detection. By clustering data, we can gain insights, make predictions, and improve decision-making. Hierarchical clustering is a specific approach to cluster analysis. It organizes data points into a hierarchy of clusters, where each cluster can contain subclusters. This method allows for a hierarchical structure that captures different levels of similarity or dissimilarity between data points.

For example, in customer segmentation, hierarchical clustering can group customers based on similar attributes like demographics, purchase history, and behavior. In image analysis, it can be used to segment images into meaningful regions or objects based on their visual characteristics. Hierarchical clustering offers a flexible and interpretable way to analyze complex datasets and discover underlying structures.

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Answer:

100 pages

Step-by-step explanation:

Yesterday, there were 400 pages left unread so you read 1/4 * 400 = 100 pages yesterday. Today, there are 400 - 100 = 300 pages left unread so today, you read 2/3 * 300 = 200 pages. This means that there are 300 - 200 =   100 pages left in the book.

Answer:

hello! i just did this problem and the answer is 12.2%

Step-by-step explanation:

first we need to add all of the swans together, then from there you take the amount of mute swans and divide it by the sum of all the swans! finally, multiply by 100 to convert into a percent and round it to 12.2%

hope this helped plz give me brainliest! <3

The solution is 12.2 %

The percentage of mute swans is given by the equation A = 12.2 %

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the percentage of mute swans be represented as A

Now , the equation will be

Let the total number of swans be S

The number of mute swans = 5  swans

The number of Trumpeter swans = 34 swans

The number of Tundra swans = 2 swans

So , the total number of swans S = 5 + 34 + 2 = 41 swans

And , the percentage of mute swans A = ( number of mute swans / total number of swans S ) x 100

Substituting the values in the equation , we get

The percentage of mute swans A = ( 5/41 ) x 100

On simplifying the equation , we get

The percentage of mute swans A = 0.1219 x 100

The percentage of mute swans A = 12.19

The percentage of mute swans A = 12.2 %

Therefore , the value of A is 12.2 %

Hence , the percentage is 12.2 %

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Answer:

53.9

Step-by-step explanation:

1 decimal place means the number will have only 1 value after the decimal point. Since 8 is the number after the decimal point and the number(9) that follows is more than 5 you'll have to round it up.

Answer:

1

Step-by-step explanation:

K(x)=5^(x+2)

Let x = -2

K(-2)=5^(-2+2)

       = 5^0

      = 1

Answer:

k(- 2) = 1

Step-by-step explanation:

Substitute x = - 2 into k(x) , that is

k(- 2) = \(5^{-2+2}\) = \(5^{0}\) = 1 [ \(a^{0}\) = 1 ]

Answer:

x = 10

Step-by-step explanation:

Angle form is = 90°

therefore

5x + 25 + x + 5 = 90

6x + 30 = 90

6x = 90-30

6x = 60

6x/6 = 60/6

x = 10

Answer:

2.7% as a decimal, is 0.027. And, 0.0027 as a fraction, is 27/1000.

x=-20/13 and y=77/13 are solutions of 5x+4y=-16 and y= 2x+9

Two or more expressions with an Equal sign is called as Equation.

The two equations are

5x+4y=-16 ...(1)

Five x plus 4 y equal to minus sixteen.

y= 2x+9 ...(2)

y equal to two times of x plus nine.

Substitute 2 in 1.

5x+4y=-16

5x+4(2x+9)=-16

5x+8x+36=16

13x+36-16=0

13x+20=0

13x=-20

x=-20/13=-1.53

substitute the value of x in y.

y=2(-20/13)+9

y=(-40+117)/13

y=77/13

Hence the value of x is -20/13 and y value is 77/13.

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The night the family can stay at the hotel are-

Equations in mathematics are not always balancing on both sides using a 'equal to' symbol. Sometimes it's a 'not equal to' relationship, as though something is more than or less than the other. In mathematics, an inequality is a relationship that results from a non-equal comparison of two numbers or any other mathematical expressions.

Inequalities are mathematical expressions that fall within the category of algebra.

Now according to the question-

Total cost spent on hotel stay = cost per night + taxes + parking charges + tips.

As, the paid tax is 10% of the original amount.

The original amount is $90

10% of 90 is = 0.1 × 90

10% tax = $9

Let 'x' be the days spent in hotel.

Then,

The cost spent on stay only is $90x.

The cost spend  on tax is $9x.

As, parking is done once only its id added once only.

The total amount spent on tips is $30

Adding all the amount;

90x + 9x + 12 + 30 ≤ 600

On solving,

99x ≤  558

x ≤ 5.6

As, number can not be in decimals, it could be either 5 day sir 6 days.

Then, total amount spend on days will be-

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The complete question is-

One particular hotel in the downtown area costs $90 a night. An additional 10% tax is added to the original cost of the hotel room. There is also a one-time $12 for parking charge, and a family can expect to spend $30 on tips during their stay. How many nights can a family spend at the hotel without exceeding their budget of $600.

Answer:

7

Step-by-step explanation:

Answer:

√52 = 2√13

Step-by-step explanation: