You are a member of a population of 10,000 people. You happen to be chosen for a simple random sample of size 1,000 this year. Then you are chosen for another simple random sample of size 100 (drawn independently of the first sample) next year. You think you're incredibly unlucky to be chosen for two such samples, but how unlucky are you? The probability of this happening is which of the following?
a. (1/10,000)2 b. 2/10,000 c. 1/10 d. 1/1,000

Any equation in the variable x that contains a logarithm is called a logarithmic equation.

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The transformation of the graph f(x) = x² to the graph g(x) = -3(x+5)² + 12 involves a horizontal shift, a vertical stretch, and a vertical translation.

The graphs of f(x) = x² and g(x) = -3(x+5)² + 12 are the parabola.

The transformation of the graph is following as:

Firstly, the parabola has been shifted horizontally by 5 units to the left, which is reflected in the expression (x+5)².

Secondly, the parabola has been stretched vertically by a factor of -3, which is reflected in the coefficient in front of (x+5)².

Finally, the parabola has been raised up to 12 units. This means that the vertex of the parabola has been shifted upwards from the origin to the point (−5,12).

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The gradient of a line which perpendicular to C is -3/2

The gradient of a line shows how steep it is. Gradient is also called the slope of a line.

Let's use the fact that the product of the gradients of two perpendicular lines is -1 to determine the gradient of a line perpendicular to line C.

We can determine the gradient of the line perpendicular to C if the gradient of line C is 2/3.

Take the negative reciprocal of the gradient, we have;

-3/2

Since the negative reciprocal of 2/3 is -3/2.

Therefore, the gradient of the line perpendicular to C is -3/2.

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Answer: y = 100x + 1300

Step-by-step explanation: Linear Equation is an equation whose graphic produces a line. It is of the form y = mx + B, in which m and B are real numbers.

The term m is also the slope or gradient of the equation, i.e., it shows the steepness of the line. While B is y-intercept, i.e., it is the point where the line touches the y-axis.

The slope is determined by:

\(m=\frac{y-y_{0}}{x-x_{0}}\)

\(m=\frac{3000-1800}{17-5}\)

m = 100

For the linear equation, use:

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

and point (5,1800):

\(y-1800=100(x-5)\)

\(y=100x-500+1800\)

\(y=100x+1300\)

The linear equation of daily energy requirement for males is \(y=100x+1300\).

Answer:

Below

Step-by-step explanation:

This is change of + 400 000

 What percentage of 500 000  is 400 000 ?

        400 000 / 500 000   * 100% = 80%

Answer:

80% (increase)

Step-by-step explanation:

Given the input example you provided (K = 4, n = 6, p = 0.3), the output will be "The answer is 0.059535".

Here is an example of how you can implement the `binomialDistribution` function in C to calculate the probability of K successes in n trials with a given probability of success p:

```c

#include <stdio.h>

// Function to calculate the binomial distribution probability

float binomial Distribution(int K, int n, float p) {

   int i;

   float result = 1.0;

   // Calculate the binomial coefficient (n k)

   for (i = 1; i <= K; i++) {

       result *= (n - i + 1);

       result /= i;

   }

   // Multiply by p^K and (1 - p)^(n - K)

   result *= pow(p, K) * pow(1 - p, n - K);

   return result;

}

int main() {

   int K, n;

   float p, probability;

   // Input values from the user

   printf("Enter k value: ");

   scanf("%d", &K);

   printf("Enter n value: ");

   scanf("%d", &n);

   printf("Enter p value: ");

   scanf("%f", &p);

   // Calculate the binomial distribution probability

   probability = binomialDistribution(K, n, p);

   // Print the result

   printf("The answer is %f\n", probability);

   return 0;

}

```

In this example, we define the `binomialDistribution` function that takes three parameters: K (number of successes), n (number of trials), and p (probability of success). The function calculates the binomial coefficient (n k) and multiplies it by p^K and (1 - p)^(n - K) to obtain the probability.

In the `main` function, we prompt the user to input the values of K, n, and p. Then, we call the `binomialDistribution` function with these values and store the result in the `probability` variable. Finally, we print the result to the console.

Given the input example you provided (K = 4, n = 6, p = 0.3), the output will be "The answer is 0.059535".

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Answer:

x = -5, 6

Step-by-step explanation:

\(x^{2} - x - 30 = 0\\(x-6)(x+5) = 0\\x = -5, 6\)

Answer:

the answer for this question isnparallelogram

Answer:

Parallelogram

Step-by-step explanation:

Answer:

14+14 + 4pi= 28 + 4pi

\(\pi\)

The line passes through the point (4, 3)

The line has a slope of m=-1/3

The equation of the line can be written in the form

Since the slope is -1/3

Then the equation becomes

Since the line passes through the point (4, 3)

Substitute x = 4, y= 3 into the equation

Simplify the equation and solve for c

Hence, the equation becomes

Using an online graphing calculator.

The graph of the line is shown

Answer:

C

Step-by-step explanation:

Answer:

A is the answer.

Step-by-step explanation:

\(f(x) = f(2) \\ when \: x = 2\)

and from the graph it can be seen that point A is at x=2 position.

Answer:

x=-3y

x+3y=12

0=12

Step-by-step explanation:

Answer:

c = 21 + k

Step-by-step explanation:

Alexandra paid $7dollar to park her car for 3hours at the parking garage. The garage charges a constant hourly parking rate. Write an equation that shows the relationship between p, the number of hours parked, and c, the cost in dollars.

Let the constant = k

The relationship is written as:

c = p×h + k

P = cost of parking

h = Number of hours parked

c = $7 × 3 + k

c = 21 + k

Answer:

c=7/3p

Step-by-step explanation:

i did the other persons answer and got it wrong, so i kept doing the hints on khan and it said that

Answer:

x=3

Step-by-step explanation:

Answer:

The answer would be 3.

Step-by-step explanation:

Answer:

4

Step-by-step explanation:

4/6 x 6 can be thought of as 4/6 x 6/1.

When multiplying two fractions, multiply the numerator (top number) with the numerator and the denominator (bottom number) with the denominator.

So we have: (4x6) / (6x1)

Which can be simplified to: 24/6, or 4.

Let  me know if this helps!

(a) This is a second-order linear non-homogeneous differential equation with variable coefficients.

(i) Order: 2

(ii) Linearity: Linear

(iii) Homogeneity: Non-homogeneous

(b) This is a first-order nonlinear ordinary differential equation.

(i) Order: 1

(ii) Linearity: Nonlinear

(iii) Homogeneity: Non-homogeneousIn mathematics, differential equations (DEs) are used to model many real-world phenomena. Depending on the characteristics of a DE, it can be classified according to its order, linearity, and homogeneity.

The order of a DE is the highest derivative that appears in the equation. For instance, if the highest derivative is the second derivative, then the DE is a second-order DE.

Linearity refers to whether the equation is a linear combination of the dependent variable and its derivatives. If it is, then the DE is linear; otherwise, it is nonlinear. A linear equation has the property of superposition, which means that if two solutions are found, then any linear combination of them is also a solution.

Homogeneity refers to whether all terms in the equation involve only the dependent variable or its derivatives. If this is the case, then the DE is homogeneous; otherwise, it is non-homogeneous. Homogeneous equations have the property of scaling, which means that if a function is a solution, then any constant multiple of that function is also a solution.

By classifying DEs based on their order, linearity, and homogeneity, we can gain insight into their properties and behavior, which can help us solve them or analyze their solutions.

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In the absence of price discrimination, the profit-maximizing conditions would be different, and the resulting prices, quantities, total revenue, total cost, and profit would also be different.

To find the profit-maximizing conditions with third-degree price discrimination, we need to equate the marginal revenue (MR) to the marginal cost (MC) for each market segment.

Given the demand equations and the total cost function:

Market 1: Q1 = 160 - 10P1 or P1 = 16 - 0.1Q1

Market 2: Q2 = 200 - 20P2 or P2 = 10 - 0.05Q2

Total Cost: TC = 120 + 4Q

To find the profit-maximizing prices and quantities, we equate MR to MC for each market segment:

MR1 = MC:

16 - 0.2Q1 = 4

0.2Q1 = 12

Q1 = 60

MR2 = MC:

10 - 0.1Q2 = 4

0.1Q2 = 6

Q2 = 60

Substituting the quantities back into the demand equations, we find:

P1 = 16 - 0.1(60) = 10

P2 = 10 - 0.05(60) = 7

The total revenue (TR) can be calculated by multiplying the price by the quantity for each market segment:

TR = P1 * Q1 + P2 * Q2

TR = (10 * 60) + (7 * 60)

TR = 600 + 420

TR = 1020

The total cost (TC) is given by the total cost function:

TC = 120 + 4Q

TC = 120 + 4(60 + 60)

TC = 120 + 480

TC = 600

Finally, the profit (π) can be calculated by subtracting total cost from total revenue:

π = TR - TC

π = 1020 - 600

π = 420

In the absence of price discrimination, the profit-maximizing conditions would be different, and the resulting prices, quantities, total revenue, total cost, and profit would also be different.

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In geometry, the terms "valid" and "invalid" are often used to describe arguments or reasoning.

A valid argument demonstrates a strong logical connection between the premises and the conclusion. It ensures that the conclusion is supported by the given information or statements.

Virtual Nerd is an online educational platform that provides video tutorials and resources for various subjects, including geometry. While Virtual Nerd can assist in explaining concepts and providing.

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The simplified expression is: (cos(x) - 1)/cos(x)

To perform the indicated operation and simplify the result of tan(x)(cot(x)-csc(x)),

we'll first recall the definitions of the trigonometric functions:
1. tan(x) = sin(x)/cos(x)
2. cot(x) = 1/tan(x) = cos(x)/sin(x)
3. csc(x) = 1/sin(x)
Now, let's substitute these definitions into the expression:
tan(x)(cot(x)-csc(x)) = (sin(x)/cos(x))[(cos(x)/sin(x)) - (1/sin(x))]
To simplify, let's find a common denominator for the terms in the brackets:
(sin(x)/cos(x))[(cos(x) - 1)/sin(x)]
Now, we can cancel out the "sin(x)" terms:
(sin(x)/cos(x)) × ((cos(x) - 1)/sin(x)) = (cos(x) - 1)/cos(x)

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Answer:

can you write these in proper way

A linear inequality that is represented by the graph include the following: C. y > 2/3(x) + 3.

In Mathematics, there are two (2) main rules that are generally used for writing and interpreting an inequality or system of inequalities that are plotted on a graph and these include the following:

here, we have,

The line on a graph should be a solid line when the inequality symbol is (≥ or ≤).

The line on a graph should be a dashed (dotted) line when the inequality symbol is (> or <).

The line on a graph should be shaded above the line when the inequality symbol is (>).

Since the line on this graph was shaded above the line and it passes through the point (0, 3), it ultimately implies that 3 is part of its solution and as such, it is represented by this inequality equation:

y > 2x/3 + 3.

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Answer: Five Days

Step-by-step explanation:

Isabella can hike 8 miles per day. So:

\(\frac{30miles}{8miles} = 3.75 days\)

It will take:

\(\frac{70 miles}{8 miles} = 8.75 days\)

..in total to hike 70 miles.

So, subtracting the two values:

\(8.75 - 3.75 = 5\)

She still needs to hike five days in order to finish the trail.

It is false, that the sum of the numbers of dots that show up when we roll three dice simultaneously does not follow a discrete uniform distribution.

The Discrete uniform distribution is a symmetric probability distribution used in probability theory and statistics. It contains a finite number of values that are equally likely to be observed; each value has an equal chance of 1/n. "A known, finite number of outcomes equally likely to occur" is another approach to describe the discrete uniform distribution.

The perfect example of Discrete uniform distribution is throwing a die. Tossing a fair dice is an easy illustration of the discrete uniform distribution. The possible results are 1, 2, 3, 4, 5, and 6, and the likelihood of a certain result is 1/6 each time the die is thrown. Because not all sums have an equal chance, the distribution that results when two dice are thrown and their values are summed is no longer uniform.  

From the above observation, we can say that the sum of the number of dots that show up when we roll three dice simultaneously will follow a discrete uniform distribution.

It is false, that the sum of the numbers of dots that show up when we roll three dice simultaneously does not follow a discrete uniform distribution.

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The pressure loss due to the presence of the venturimeter in the horizontal pipe is approximately 59.5 to 63.5 psi.

The pressure loss due to the venturimeter can be calculated using the equation below

\(\Delta P = (\rho / 2) * [(Q / A)^2 / (Cd^2 * K)]\)

where

ΔP is the pressure loss due to the venturimeter in psi,

ρ is the density of water in lb/\(ft^3,\)

Q is the flow rate of water in gpm,

A is the area of the pipe in\(ft^2\),

Cd is the discharge coefficient of the venturimeter, and

K is the loss coefficient of the venturimeter.

Note:

D = 6 inches, S = 40, Q = 600 to 625 gal/min, T = 27°C, d = 3 inches

To calculate the area of the pipe

\(A = \pi * (D/2)^2 = \pi * (0.5 ft)^2 = 0.785 ft^2\)

Q = 600 to 625 gal/min = 0.126 to 0.131\(ft^3/s\)

ρ = 62.4 lb/gal = 62.4 / 7.481 = 8.345 lb/\(ft^3\)

Assuming the discharge coefficient of the venturimeter is  0.98

To estimate the loss coefficient K

K = \(0.5 * (1 - d^2 / D^2)^2 = 0.5 * (1 - 0.25^2)\)

= 0.46875

Substitute the given values into the equation for pressure loss

\(\Delta P = (\rho / 2) * [(Q / A)^2 / (Cd^2 * K)]\\= (8.345 / 2) * [((0.126 to 0.131) / 0.785)^2 / (0.98^2 * 0.46875)]\\= (4.1725) * [(0.161 to 0.168)^2 / 0.0457]\)

= (4.1725) * (3.559 to 3.897)

= 59.5 to 63.5 psi

Thus, the pressure loss due to the presence of the venturimeter in the horizontal pipe is approximately 59.5 to 63.5 psi.

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The correct answer is S = {A, D, D, I, T, I, O, N}.

What is probability?

Probability is a measure of the likelihood or chance of an event occurring. It is a number between 0 and 1, with 0 representing an impossible event and 1 representing a certain event. The probability of an event is calculated by dividing the number of ways the event can occur by the total number of possible outcomes.

The sample space is the set of all possible outcomes of an experiment or event.

In this case, the experiment is choosing one card from a set of eight labeled cards.

The sample space for this experiment is the set of all possible cards that can be chosen.

In the given problem, there are eight cards labeled A, D, D, I, T, I, O, N.

The sample space is the set of all possible cards that can be chosen, which is {A, D, D, I, T, I, O, N}.

This is because each card is distinct and can be chosen independently of the others.

Therefore, the correct answer is S = {A, D, D, I, T, I, O, N}.

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Answer: A( A,D, D,I, I,N,O,T)

Step-by-step explanation:

Order does not matter!!

Thus, the annual arithmetic mean number of degrees awarded in computer science over the most recent seven years is approximately 7,525.14.

To find the annual arithmetic mean number of degrees awarded in computer science over the most recent seven years, we need to add up the total number of degrees awarded over those years and then divide that total by seven (the number of years being considered).

So, adding up the numbers given in the question, we get:

4,820 + 13,188 + 4,614 + 5,920 + 12,372 + 5,885 + 5,877 = 52,676

Now, to find the mean, we divide this total by seven:

52,676 ÷ 7 = 7,525.14

So, the annual arithmetic mean number of degrees awarded in computer science over the most recent seven years is approximately 7,525.14.

If we wanted to understand more about how the number of degrees awarded in computer science has changed over time, we would need to look at additional data and analyze it in more detail.

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9514 1404 393

Answer:

  x = 10

Step-by-step explanation:

Half of the triangle makes a 30°-60°-90° "special" triangle. We know the side ratios of that are 1 : √3 : 2. The long side is 1/3 of the perimeter, so is 60/3 = 20 = 10×2. Then the altitude is 10 times the middle ratio value: 10√3 ≈ 17.32.

Comparing this with x√3, we find x = 10.

Answer:

X = 25

Step-by-step explanation:

To solve this question, we'll first of all find determine the side length of the triangle from the perimeter.

Perimeter of an equilaterial triangle = 3 * s

S = side length

Perimeter = 150cm

150 = 3s

S = 150 / 3

S = 50cm

The side lengths are 50cm each since they are all equal.

To find x,

We have to divide the triangle equally into two different part.

Check the first attachment for better illustration on how the equilaterial triangle is.

Check the second attachment for better illustration on the triangle when its divided into a right angle triangle.

From the right angle triangle, we can use pythagorean theorem to solve for x

a² = b² + c²

a = 50cm

b = 25cm

c = x√(3)

50² = [x√(3)]² + 25²

2500 = x² * 3 + 625

2500 - 625 = 3x²

1875 = 3x²

X² = 1875 / 3

X² = 625

X = √(625)

X = 25

HOPE THIS HELPS

if so please give me a brainlist

By using the concept of population standard deviation and sample standard deviation, it can be inferred that

2nd and 4th option  is correct

What is standard deviation?

At first, it is important to know about variance.

Variance is the sum of the square of deviation from the mean.

On taking the square root of the variance, standard deviation is obtained.

Here, the cases are

1) Population standard deviation \((\sigma)\) is known

2) Population standard deviation \((\sigma)\) is unknown

3) Sample standard deviation (s) is known

4) Sample standard deviation (s) is unknown

Now,

Formula for z

z = \(\frac{x - \mu}{\sigma}\) , \(\mu\) is the population mean, \(\sigma\) is the population standard deviation

Formula for t

t = \(\frac{x - \mu}{s}\) ,  s is the sample standard deviation

So if  Population standard deviation \((\sigma)\) is known and Sample standard deviation (s) is unknown, z table is used

If Population standard deviation \((\sigma)\) is unknown and Sample standard deviation (s) is known, t table is used

So 2nd and 4th option is correct

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Complete Question

The complete Question has been attached here

The cut-out from each corner that maximizes the volume is 3 inches.

The dimensions are given as:

\(\mathbf{Length = 15}\)

\(\mathbf{Width = 24}\)

Assume the cut-out is x.

So, the dimension of the board is:

\(\mathbf{Length = 15 - 2x}\)

\(\mathbf{Width = 24 - 2x}\)

\(\mathbf{Height = x}\)

The volume (V) is calculated as:

\(\mathbf{V = Length \times Width \times Height}\)

So, we have:

\(\mathbf{V = (15 - 2x) \times (24 - 2x) \times x}\)

Expand

\(\mathbf{V = 360x - 78x^2 + 4x^3}\)

Differentiate

\(\mathbf{V' = 360 - 156x + 12x^2}\)

Set to 0

\(\mathbf{ 360 - 156x + 12x^2 = 0}\)

Divide through by 12

\(\mathbf{ 30 - 13x + x^2 = 0}\)

Rewrite as:

\(\mathbf{ x^2 - 13x + 30 = 0}\)

Using a calculator, we have:

\(\mathbf{x = \{3, 10\}}\)

The value of x = 10 is greater than the dimensions of the box.

So, we have:

\(\mathbf{x = 3}\)

Hence, the cut-out from each corner that maximizes the volume is 3 inches.

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Answer: p=8

Step-by-step explanation:

\(17=3(p-5)+8\\\\9=3(p-5)\\\\3=p-5\\\\p=8\)