my teacher won't help i I actually want to learn this can you please help me​

To generate a simple random sample of three books for a literature course, the following processes can be used:

1. Assign a unique identifier number to each book on the list.

2. Use a random number generator to select three numbers between 1 and the total number of books on the list.

3. Identify the books that correspond to the selected numbers to obtain a simple random sample of size three from the list.

A simple random sample is a subset of a population that is selected randomly and without bias. To generate a simple random sample of three books for a literature course, the following processes can be used:

1. Assign a unique identifier number to each book on the list. For instance, if the list of classic works of literature includes 20 books, each book can be assigned a unique number from 1 to 20. This process ensures that each book has an equal chance of being selected.

2. Use a random number generator to select three numbers between 1 and the total number of books on the list. For example, a random number generator can be used to generate three numbers between 1 and 20. The random numbers generated should be unique and without bias. This process ensures that each book combination has an equal chance of being selected.

3. Identify the books that correspond to the selected numbers to obtain a simple random sample of size three from the list. Once the random numbers have been generated, the books that correspond to the selected numbers should be identified. These books will make up the simple random sample of size three from the list.

To obtain a simple random sample of size three from the following list of classic works of literature, the above process can be used:

1. To assign a unique identifier number to each book on the list, each book can be assigned a number from 1 to 9 as follows:

1. Wuthering Heights by Emily Bronte

2. The Great Gatsby by F. Scott Fitzgerald

3. Pride and Prejudice by Jane Austen

4. To Kill a Mockingbird by Harper Lee

5. Jane Eyre by Charlotte Bronte

6. Crime and Punishment by Fyodor Dostoevsky

7. The Catcher in the Rye by J.D. Salinger

8. Frankenstein by Mary Shelley

9. The Picture of Dorian Gray by Oscar Wilde

2. To use a random number generator to select three numbers between 1 and the total number of books on the list, a random number generator can be used to generate three numbers between 1 and 9. Suppose the following numbers are generated: 2, 4, 8.

3. To identify the books that correspond to the selected numbers to obtain a simple random sample of size three from the list, the books that correspond to the selected numbers are:

2. The Great Gatsby by F. Scott Fitzgerald

4. To Kill a Mockingbird by Harper Lee

8. Frankenstein by Mary Shelley

Thus, the simple random sample of size three from the list is The Great Gatsby by F. Scott Fitzgerald, To Kill a Mockingbird by Harper Lee, and Frankenstein by Mary Shelley.

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The pool area measures the following dimensions:

Length = 58 feet.

Width = 30.5 feet.

Equations are used to express the data since the 119-foot fence should only contain three sections of the pool (two wide and one long).

First, a calculation that determines the total number of feet in the fence

X + 2Y = 119 (where X is the length and Y is the width)

X = 2Y-3 (because the length is 3 feet less than twice the width)

We proceed to solve for Y using these equations to replace the second equation in the first equation:

X + 2Y = 119

2Y -3 + 2Y = 119

4Y - 3= 119

4Y= 122

Y = 122/4, and Y = 30.5 feet.

We apply the second equation to determine the value of X because we already know that the width equates to 30.5 feet: X = 2Y-3 X = 2 (30.5)-3 X = 61 - 3 X = 58

It can be seen from this that the length is 58 feet.

As a result, the pool area measures Length = 58 feet and Width = 30.5 feet.

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Answer:

c = 5

Step-by-step explanation:

13² - 12² = c²

169 - 144 = c²

√25 = c

5 = c

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Answer:

A: 6, 12, 18, 24, 30

10, 20, 30, 40

B: 30

C: 5/6= 25/30 and 7/10= 21/30

D: 25/30>21/30 so 5/6>7/10

Answer:

0.01

Step-by-step explanation:

Rounded to the nearest hundredth 0.009 is 0.01.

The term "Rounding off" means the process of approximating a number to a specified degree of accuracy by replacing it with a neighboring value that is efficient to work with, and makes calculation easy or more meaningful in a given context. This involves reducing the number of significant digits or decimal places in a numerical value while retaining its overall magnitude.

To round off 0.009 to the nearest hundredth, 1 is added to the digit in second place after the decimal, i.e., 0, and the digit in the third place after the decimal, i,e, 9 is replaced by 0.

Thus, when rounded to the nearest 100th, 0.009 results as 0.01.

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Answer:

We have the following system of equations:

\(\left \{ {5x + 10 y = 2.000 (1)} \atop {x + y = 350 (2)} \right.\)

(2) = x = 350-y . Replace x in equation (1 )

=> 5(350-y)+10y=2000 => y = 241

Replace y=241 in equation (2 ) => x = 350-241 = 109

the number of both children and adult tickets the theater can sell.

Children tickets : 109

Adult tickets : 241

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

the angle in a semicircle = 90° , that is the 3rd angle in the triangle.

the sum of the 3 angles in a triangle = 180° , then

p + 90° + 42° = 180°

p + 132° = 180° ( subtract 142° from both sides )

p = 48°

Answer:

i need the answer to pleasee... asnwer this question

When a 4 is rolled on the die, the player is awarded 17 points.

When a 4.5 is rolled on the die, the player is awarded 19 points.

When a 9 is rolled on the die, the player is awarded 37 points.

Given the function that represents certain number of points is awarded to a player upon rolling a six sided die according to the function.

f(x) = 4x + 1

If the number of die rolled is 4, hence;

f(4) = 4(4) + 1

f(4) = 16 + 1

f(4) = 17

This shows that when a 4 is rolled on the die, the player is awarded 17 points.

If the number of die rolled is 4.5, hence;

f(4.5) = 4(4.5) + 1

f(4.5) = 18 + 1

f(4.5) = 19

This shows that when a 4.5 is rolled on the die, the player is awarded 19 points.

If the number of die rolled is 4, hence;

f(9) = 4(9) + 1

f(9) = 36 + 1

f(9) = 37

This shows that when a 9 is rolled on the die, the player is awarded 37 points.

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The sum of £1.76 + £2.04 is £3.08.

In math, addition is the process of adding two or more integers together. Addends are the numbers that are added, while the total refers to the outcome of the operation.

Mathematicians employ the action of addition to combining numbers. The sum of the given numbers is the outcome of addition or the total of the inputted numbers.

Given:

£1.76 + £2.04

Add the main part of the expression as shown below,

£1.76 + £2.04 = 1+2(0.76+0.04)

£1.76 + £2.04 = 3(0.8)

£1.76 + £2.04 = £3.08

Therefore, the sum of £1.76 + £2.04 is £3.08.

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Answer:Y=9

Step-by-step explanation:

If y=x+5 and x=4 then it would be y=4+5

The slosh-out water is 29.9 cubic cm.

Volume is defined as the space covered by any solid body in the three-dimensional plane. For the cylinder, the parameters are height and radius.

The volume of the cone is calculated as:-

V = ⅓r^2h

V = ⅓r^2h

V = ⅓(3.5)^2(7)

V = ⅓(12.25)(7)

V = 1/3(85.75)

V = 85.75/3

1/3 cup of water is sloshed out:

Sloshed water = (85.75/3 )/3

Sloshed water = 29.9 cubic cm

Therefore, the sloshed-out water is 29.9 cubic cm.

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Null hypothesis: There is no significant difference in the performance of the five sorghum cultivars under rainfed conditions.

Blocking: The blocking in this study was useful as indicated by the non-significant F-value for the blocks. It helps reduce the impact of potential confounding factors by creating homogeneous groups within the experiment.

Efficiency of experimental design: It cannot be determined from the given information whether another experimental design would have been more efficient.

Target population: The target population in this study is the set of all sorghum cultivars under rainfed conditions.

Null hypothesis: The null hypothesis for this study would state that there is no significant difference in the performance of the five sorghum cultivars under rainfed conditions. This means that the means of the treatments (sorghum cultivars) are equal.

Blocking: The blocks in the study were used to control for any potential variability among different locations or environmental conditions. By assigning each treatment randomly within each block, the effect of the blocking factor can be separated from the treatment effect. In this study, the non-significant F-value for the blocks suggests that the blocking was effective in reducing the impact of potential confounding factors.

Efficiency of experimental design: The given information does not provide enough details to determine whether another experimental design would have been more efficient. The choice of design depends on various factors such as the nature of the experiment, available resources, and specific objectives.

Target population: The target population in this study refers to the set of all sorghum cultivars under rainfed conditions. The study aims to draw conclusions about the performance of these cultivars in similar conditions.

Reason for blocking: Blocking may have been used in this study to account for spatial or environmental variation that could potentially affect the performance of the sorghum cultivars. By blocking, the experimenters aimed to create groups of experimental units that are similar within each block, reducing the variability caused by these factors and allowing for a more accurate assessment of the treatment effects.

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Given:

The objective is to find the probability of drawing a face card from a deck of card.

The number of cards in a deck is, N = 52.

The number of face cards in a deck is, n(E) = 12.

Then, the required probability can be calculatad as,

Hence, option (A) is the correct answer.

$2816.80 is the raise

21 is 30% of 70

Answer: y=31-5x

Step-by-step explanation:

subtract the 5x to the other side to get y.

Answer:

113.04feet

Step-by-step explanation:

Area of the circular field  = πr²

r is the radius

Given

Area = 1,017.36 square yard

1,017.36 = πr²

r² = 1,017.36/3,14

r² = 324

r = √324

r = 18yds

Get the circumference

C = 2πr

C = 2(18)(3.14)

C = 113.04yds

Hence he/she must have been walking for 113.04feet

Answer:

-5.4

Step-by-step explanation:

Answer:

a and e

Step-by-step explanation:

The required type ii error probability of the test using is 0.085.

It is determined by duplicating the pretest chances by the probability of a positive or negative test (as we will show). Post-test  probability  is characterized, as the likelihood of the objective problem after a symptomatic experimental outcome is known.

We have,

standard deviation = 7, mean = 6, size of the sample = 23.

P(type II error) = P(Xbar >=8 given mean =6)

=P(Z>(8-6)×√(23)/7) =P(Z>1.37)=1-P(Z<1.37)

=1-0.9147=0.0853 =0.085

Thus, required probability is 0.085

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The equation that represents the situation is (4 + x) / (10 + 25 + x) = 0.25

Let's start by finding the amount of medicine in the original mixture before adding any pure medicine.

The amount of medicine in the 10 grams of 15% solution is

0.15 × 10 = 1.5 grams

The amount of medicine in the 25 grams of 10% solution is

0.10 × 25 = 2.5 grams

So the total amount of medicine in the original mixture is,

1.5 + 2.5 = 4 grams

Now let x be the amount of pure medicine added.

The total amount of medicine in the final mixture is,

4 + x

The total amount of solution in the final mixture is,

10 + 25 + x

So the concentration of the final mixture is,

(4 + x) / (10 + 25 + x)

We know that this concentration is 25%, so we can write:

(4 + x) / (10 + 25 + x) = 0.25

This is the equation that represents the situation.

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The given question is incomplete, the complete question is:

A pharmacist mixes 10 grams of a 15% medicine solution with 25 grams of a 10% medicine solution. Suppose we know that after she adds the x grams of pure medicine the pharmacists mixture is 25% medicine solution. Write an equation that represents the situation

To ensure proper moisture for house plants, approximately 1 liter of water needs to be added to every 5 liters of soil.

House plants require a balance of water and soil to thrive. When planting flowers that need water, it is important to ensure the soil retains adequate moisture. As a general guideline, you should add approximately 1 liter of water to every 5 liters of soil. This ratio helps to maintain the right level of hydration for the plants.

The watering needs of plants can vary depending on factors such as plant species, environmental conditions, and pot size. It's crucial to consider individual plant requirements and adjust watering accordingly. Before adding water to the soil, it's advisable to check the moisture level by inserting your finger into the soil up to your knuckle. If it feels dry, it's time to water. However, if it feels moist, it's best to wait and avoid overwatering, which can lead to root rot and other problems.

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The original amount of the loan is approximately $6,605.45, and the balance after the 30th payment can be calculated using the remaining number of payments, interest rate, and the original loan amount

The original amount of the loan can be calculated using the monthly payment amount and the interest rate. The balance after the 30th payment can be determined by considering the remaining number of payments and the interest accrued on the loan.
To find the original amount of the loan, we need to calculate the present value (PV) using the monthly payment amount, interest rate, and the loan term. In this case, the loan term is five years, or 60 months, and the monthly payment is $200.38.
Using the formula for the present value of an ordinary annuity:
PV = PMT × [(1 - (1 + r)^(-n)) / r]
Where PMT is the monthly payment, r is the monthly interest rate, and n is the number of periods (number of months in this case).
First, we need to convert the annual interest rate to a monthly interest rate. The annual interest rate is 7.5%, so the monthly interest rate is 7.5% / 12 = 0.075 / 12 = 0.00625.
Next, we can substitute the values into the formula to find the present value (original amount of the loan):
PV = $200.38 × [(1 - (1 + 0.00625)^(-60)) / 0.00625]
  ≈ $200.38 × 32.9536
  ≈ $6,605.45
Therefore, the original amount of the loan is approximately $6,605.45.
To find the balance after the 30th payment, we need to consider the remaining number of payments and the interest accrued on the loan. Since each monthly payment reduces the loan balance, we need to calculate the remaining loan balance after 30 payments.
Using the formula for the remaining balance of a loan:
Balance = PV × (1 + r)^n - PMT × [(1 + r)^n - 1] / r
Where PV is the present value (original loan amount), r is the monthly interest rate, n is the remaining number of periods (remaining number of months), and PMT is the monthly payment.
Substituting the values into the formula:
Balance = $6,605.45 × (1 + 0.00625)^(60 - 30) - $200.38 × [(1 + 0.00625)^(60 - 30) - 1] / 0.00625
Calculating the expression will give the balance after the 30th payment.

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Answer:

\(60 \sqrt{2} \)

Eigenvalues and eigenvectors can be calculated using these steps:

To find the eigenvalues and eigenvectors of a square matrix A, we follow a systematic process. Firstly, we consider the matrix A. Next, we solve the characteristic equation det(A - λI) = 0, where I is the identity matrix of the same size as A, and λ represents the eigenvalues we seek. The characteristic equation is formed by subtracting the eigenvalue (λ) times the identity matrix (I) from matrix A and taking its determinant. Solving this equation will give us the eigenvalues.

Once we have the eigenvalues, we proceed to find the corresponding eigenvectors. For each eigenvalue λ, we need to solve the system of equations (A - λI)x = 0, where x is the eigenvector associated with that eigenvalue. This system of equations is homogeneous, and we aim to find non-zero solutions for x. This can be done by row-reducing the augmented matrix (A - λI|0) and solving for x.

After repeating this process for each eigenvalue, we obtain the set of eigenvalues and their corresponding eigenvectors for the matrix A. These eigenvalues represent the scalars by which the eigenvectors are scaled when the matrix A operates on them.

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Answer:

The proportion that is false is 18/48 = 30/50.

Step-by-step explanation:

To determine which of the given proportions is false, rewrite the fractions on both sides each equation so that the denominators are the same.

\(\dfrac{12}{15}=\dfrac{20}{25} \implies \dfrac{12 \div 3}{15 \div 3}=\dfrac{20 \div 5}{25 \div 5}\implies \dfrac{4}{5}=\dfrac{4}{5}\qquad \boxed{\sf True}\)

\(\dfrac{25}{45}=\dfrac{50}{90} \implies \dfrac{25 \div 5}{45\div 5}=\dfrac{50\div 10}{90\div 10}\implies \dfrac{5}{9}=\dfrac{5}{9}\qquad \boxed{\sf True}\)

\(\dfrac{20}{50}=\dfrac{40}{100} \implies \dfrac{20\div 10}{50\div 10}=\dfrac{40\div20}{100\div 20}\implies \dfrac{2}{5}=\dfrac{2}{5}\qquad \boxed{\sf True}\)

\(\dfrac{18}{48}=\dfrac{30}{50} \implies \dfrac{18\times 25}{48\times 25}=\dfrac{30\times 24}{50 \times24}\implies \dfrac{450}{1200}= \dfrac{720}{1200}\qquad \boxed{\sf False}\)

Therefore, the proportion that is false is 18/48 = 30/50.

Therefore, it takes 0 years for the population to return to its initial value after the immigration policy ends.

To express f(t) in terms of the step function uₙ(t), we can write it as:
f(t) = 5000 * uₙ(t-10)(ii) To solve the initial-value problem, we can use the method of integrating factors. Rearranging the equation, we have:
dx/dt + 0.01x = f(t)

Multiplying both sides by the integrating factor e^(0.01t), we get:
e^(0.01t) * dx/dt + 0.01e^(0.01t) * x = e^(0.01t) * f(t)Applying the product rule on the left side, we have:d(e^(0.01t) * x)/dt = e^(0.01t) * f(t)Integrating both sides with respect to t, we get:
e^(0.01t) * x = ∫[0,t] e^(0.01t) * f(t) dt + C

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It takes approximately 115.53 years for the population to return to its initial value after the immigration policy ends.

(i) To express f(t) in terms of the step function uₙ(t), we can define f(t) as follows:

f(t) = 5000 * uₙ(t-10)

Here, uₙ(t-10) is a step function that equals 1 for t ≥ 10 and 0 for t < 10. By multiplying 5000 with uₙ(t-10), we ensure that the immigration policy allows a constant rate of 5000 people per year for t ≥ 10, and no immigration for t < 10.

(ii) To solve the initial-value problem dt/dx + 0.01x = f(t), x(0) = 100,000, we can consider two cases:

For 0 ≤ t < 10, f(t) = 0. Therefore, the differential equation becomes dt/dx + 0.01x = 0. This is a first-order linear homogeneous ODE. Solving it yields x(t) = C₁ * \(e^(-^0^.^0^1^t^)\), where C₁ is the constant of integration.

For t ≥ 10, f(t) = 5000. The differential equation becomes dt/dx + 0.01x = 5000. This is a first-order linear non-homogeneous ODE. Solving it using an integrating factor yields x(t) = C₂ * \(e^(-^0^.^0^1^t^)\) + 500,000, where C₂ is the constant of integration.

By applying the initial condition x(0) = 100,000, we find C₁ = 100,000 and C₂ = -400,000.

(iii) To find how many years it takes for the population to return to its initial value after the immigration policy ends, we need to find the value of t when x(t) = 100,000.

Setting x(t) = 100,000 in the solution for t ≥ 10 gives us:

100,000 = -400,000 * \(e^(-^0^.^0^1^t^)\) + 500,000

Simplifying the equation and solving for t gives us:

\(e^(-^0^.^0^1^t^)\) = 0.2

Taking the natural logarithm of both sides gives us:

-0.01t = ln(0.2)

Solving for t yields:

t ≈ -ln(0.2)/0.01

t ≈ 115.53 years

Therefore, it takes approximately 115.53 years for the population to return to its initial value after the immigration policy ends.

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