how to know if the sample is representative of the population in statistics given z test, std dev, z score

The two buses are initially 515 miles apart and are moving toward each other. They will pass each other around 2:30 P.M.

To solve this problem, we can use the concept of relative speed. The combined speed of the two buses is the sum of their individual speeds, which is 48 + 55 = 103 miles per hour.

We can calculate the time it takes for the buses to meet by dividing the initial distance between them (515 miles) by their combined speed (103 miles per hour):

Time = Distance / Speed

Time = 515 miles / 103 miles per hour

Time ≈ 5 hours

Therefore, the two buses will pass each other approximately 5 hours after they start traveling toward each other. To determine the exact time, we need to consider the starting time (9:30 A.M.) and add 5 hours to it. So, they will pass each other around 2:30 P.M.

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Answer:

x = 36

Step-by-step explanation:

the numbers are both multiplied by 3

Answer:

five thousand clay to school

36

Step-by-step explanation:

4 5/8*3 is 13.875

500 decided by 13.875 is a little over 36, so you can make 36 full ribbons

Answer:36

Step-by-step explanation:

4 5/8*3 is 13.875

The computer equipment was acquired at a cost of $73,700 with an estimated residual value of $34,600 and a useful life of 5 years. The depreciable cost of the equipment is $39,100. The straight-line rate is 20%, and therefore, the annual straight-line depreciation for the computer equipment is $7,820.

a. To determine the depreciable cost, we subtract the estimated residual value from the initial cost: $73,700 - $34,600 = $39,100.

b. The straight-line rate is calculated by dividing 100% by the estimated useful life of the equipment. In this case, the straight-line rate is 100% / 5 = 20% per year.

c. The annual straight-line depreciation is found by multiplying the depreciable cost by the straight-line rate. Thus, the annual depreciation is $39,100 * 20% = $7,820 per year.

By following these calculations, we can determine that the depreciable cost of the computer equipment is $39,100, the straight-line rate is 20%, and the annual straight-line depreciation amounts to $7,820.

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Answer:

b.300cm

Step-by-step explanation:

Answer:

a

Step-by-step explanation:

Let's go through each answer choice.

The formula for Area of a rectangle is \(A=l*w\)

a.

\(A=l*w=19*20=380\ ft^2\)

b.

\(A=l*w=17*22=374\ ft^2\)

c.

\(A=l*w=21*18=378\ ft^2\)

d.

\(A=l*w=23*16=368\ ft^2\)

Upon evaluation of each answer choice, we can conclude:

\(380 > 378 > 374 > 368\)

Therefore the answer is a.

Answer:

the changing of the sun rays and carbon dioxide to make glucose which is what plants need to survive.

Answer: the process by which green plants and some other organisms use sunlight to synthesize foods from carbon dioxide and water. Photosynthesis in plants generally involves the green pigment chlorophyll and generates oxygen as a byproduct.

Step-by-step explanation:

Answer:

452.16

Step-by-step explanation:

12^2 x 3,14

Answer:

My answer would most likely be x = -4.

Answer:

x = -4

Step-by-step explanation:

Answer:

It would take him 12 hours to drive 696 miles

Step-by-step explanation:

hope this helps!!

The first matching scenario is a shortage, the second matching scenario is a surplus, the third matching scenario is a surplus, and the fourth matching scenario is a shortage. The multiple-choice answers are: 1. Shortage, 2. Shortage, 3. Surplus, 4. Surplus.

Matching:

Demand is more than supply - Shortage

Supply is more than demand - Surplus

Oranges at Kind Soopers are priced too high and people don't buy them. As a result, there are oranges that are sitting on the shelves for so long that they are going bad - Surplus

After going viral on social media, demand for Stanley water bottles increases. As a result, the water bottles are very difficult to find - Shortage

Multiple Choice:

II - Shortage

Shortage

Surplus

Surplus

In the first matching scenario, there is a shortage because the demand exceeds the supply. In the second scenario, there is a surplus because the supply is more than the demand. In the third scenario, there is a surplus of oranges because people are not buying them due to high prices, leading to spoilage. In the fourth scenario, there is a shortage of Stanley water bottles due to increased demand after going viral on social media.

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Here's a C++ program that approximates the value of π using the provided formula.

```cpp

#include <iostream>

#include <iomanip>

#include <cmath>

unsigned long long factorial(int n) {

   unsigned long long fact = 1;

   for (int i = 1; i <= n; i++) {

       fact *= i;

   }

   return fact;

}

double calculatePi(int n) {

   double pi = 0.0;

   for (int i = 0; i < n; i++) {

       unsigned long long numerator = factorial(2 * i + 1);

       unsigned long long denominator = pow(factorial(i), 2) * pow(2, 2 * i + 1);

       pi += static_cast<double>(numerator) / denominator;

   }

   return pi;

}

int main() {

   int n;

   std::cout << "Enter the number of terms: ";

   std::cin >> n;

   double pi = calculatePi(n);

   std::cout << std::fixed << std::setprecision(12);

   std::cout << "Approximation of Pi: " << pi << std::endl;

   return 0;

}

```

In this program, the `factorial` function calculates the factorial of a given number using a loop. The `calculatePi` function approximates the value of π by summing up the terms according to the provided formula. The `main` function prompts the user to enter the desired number of terms, calculates the approximation of π using the `calculatePi` function, and then outputs the result with 12 decimal places.

You can compile and run this program to approximate the value of π based on the user-defined number of terms.

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Answer:

Step-by-step explanation:

Answer:

13107 employees

A. The picture

B. 10,972 + 2,135 = n

13107 = n

Step-by-step explanation:

10,972 + 2,135 = 13107

What should be drawn is in the photo.

Answer:

You have to convert the denominator. -37/36

Step-by-step explanation:

-1/4 - 7/9

-7/9(4)

-1/4 (9)

-9/39 -28/36

-37/36

Answer:

36 in.

Step-by-step explanation:

The perimeter is the sum of the length of all the sides.

Perimeter of the figure

= 8 +8 +4 +6 +10

= 36 in

The measure of angle ZCBD is 90°. Therefore, the correct option is J. 90.

To find the measure of angle ZCBD, we need to examine the given information.

From the figure, we know that angle CDE is 155°.

Since the opposite angles of a rectangle are congruent, angle BCD is also 155°.

In a rectangle, the sum of the interior angles at a vertex is always 90°.

Therefore, angle CBD is 90°.

Hence, the measure of angle ZCBD is 90°.

Therefore, the correct option is J. 90.

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In linear regression, we are trying to forecast the dependent variable based on the independent variable.

Option C is the correct answer.

We have,

In linear regression, the dependent variable is the outcome variable or the response variable that we want to predict or explain, while the independent variable is the predictor variable or explanatory variable that helps us in predicting the dependent variable.

The beta parameter and y-intercept are coefficients of the linear regression equation that help in determining the relationship between the dependent and independent variables.

Thus,

In linear regression, we are trying to forecast the dependent variable based on the independent variable.

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Answer: a = 3, b = 2

Step-by-step explanation:

When a system of linear equations has no solution, they are parallel and do not share the same y-intercept.

Parallel lines have the same slope so a must equal 3.

The first equation's y-intercept is -2, so the only other option is b = 2.

Hope this helps!

Based on the given data, the probability of a room being occupied on any particular weekend night is 0.75. To calculate the probability that at least 4 out of the 7 rooms are occupied on a weekend night, we can use the binomial probability formula. By summing up the probabilities for 4, 5, 6, and 7 occupied rooms, we find that the probability is approximately 0.923.

To calculate the probability, we can use the binomial probability formula, which states that the probability of getting exactly k successes in n independent Bernoulli trials, each with a probability p of success, is given by the formula:

P(X = k) = (n choose k) * p^k * (1 - p)^(n - k)

In this case, we want to find the probability of at least 4 out of 7 rooms being occupied on a weekend night. We can calculate this by summing up the probabilities of getting 4, 5, 6, and 7 occupied rooms.

For 4 occupied rooms:
P(X = 4) = (7 choose 4) * 0.75^4 * (1 - 0.75)^(7 - 4) = 0.339

For 5 occupied rooms:
P(X = 5) = (7 choose 5) * 0.75^5 * (1 - 0.75)^(7 - 5) = 0.395

For 6 occupied rooms:
P(X = 6) = (7 choose 6) * 0.75^6 * (1 - 0.75)^(7 - 6) = 0.266

For 7 occupied rooms:
P(X = 7) = (7 choose 7) * 0.75^7 * (1 - 0.75)^(7 - 7) = 0.122

To find the probability of at least 4 occupied rooms, we sum up the probabilities for 4, 5, 6, and 7 occupied rooms:

P(X >= 4) = P(X = 4) + P(X = 5) + P(X = 6) + P(X = 7) = 0.339 + 0.395 + 0.266 + 0.122 = 0.923

Therefore, the probability that at least 4 out of the 7 hotel rooms are occupied on any weekend night is approximately 0.923, or 92.3% when rounded to three decimal places.

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Based on the given data, the probability of a room being occupied on any particular weekend night is 0.75.

To calculate the probability that at least 4 out of the 7 rooms are occupied on a weekend night, we can use the binomial probability formula. By summing up the probabilities for 4, 5, 6, and 7 occupied rooms, we find that the probability is approximately 0.923.

To calculate the probability, we can use the binomial probability formula, which states that the probability of getting exactly k successes in n independent Bernoulli trials, each with a probability p of success, is given by the formula:
P(X = k) = (n choose k) * p^k * (1 - p)^(n - k)

In this case, we want to find the probability of at least 4 out of 7 rooms being occupied on a weekend night. We can calculate this by summing up the probabilities of getting 4, 5, 6, and 7 occupied rooms. For 4 occupied rooms:
P(X = 4) = (7 choose 4) * 0.75^4 * (1 - 0.75)^(7 - 4) = 0.339

For 5 occupied rooms:
P(X = 5) = (7 choose 5) * 0.75^5 * (1 - 0.75)^(7 - 5) = 0.395
For 6 occupied rooms:
P(X = 6) = (7 choose 6) * 0.75^6 * (1 - 0.75)^(7 - 6) = 0.266
For 7 occupied rooms:
P(X = 7) = (7 choose 7) * 0.75^7 * (1 - 0.75)^(7 - 7) = 0.122
To find the probability of at least 4 occupied rooms, we sum up the probabilities for 4, 5, 6, and 7 occupied rooms:

P(X >= 4) = P(X = 4) + P(X = 5) + P(X = 6) + P(X = 7) = 0.339 + 0.395 + 0.266 + 0.122 = 0.923. Therefore, the probability that at least 4 out of the 7 hotel rooms are occupied on any weekend night is approximately 0.923, or 92.3% when rounded to three decimal places.

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x2=-1, which simplifies the rule for addition and multiplication of congruence product to [ac - bd] + [ad+bc]x

In the given field R[x]/(x2+1), the rules for addition and multiplication of congruence classes are given below:

Rules for addition:

The addition of two congruence classes in R[x]/(x2+1) is done by adding their respective coefficients and then finding the remainder when divided by x2+1.

That is, if the sum [ax+b]+[cx+d] = [rx+s], then r = a+c, and s = b+d.

The addition of two congruence classes is done as follows:

[a,b]+[c,d] = [a+c, b+d] (mod x2+1) = [a+c-(b+d)x, b+d]

Rules for multiplication:

The multiplication of two congruence classes in R[x]/(x2+1) is done by FOIL method, then reduce the polynomial by x2+1.

That is, if the product [ax+b][cx+d] = [ux+v],

then

u = ac + bd, v = ad + bc.

The multiplication of two congruence classes is done as follows:

[a,b] [c,d] = [(ac+bd), (ad+bc)] (mod x2+1) = [(ac+bd)-(ad+bc)x, (ad+bc)]

The given product is [ax+b][cx+d] = [acx2 + (ad+bc)x + bd] (mod x2+1).

But x2+1=0,

hence x2=-1, which simplifies the above product to [ac - bd] + [ad+bc]x.

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The point (9, -7) is the only solution to the system of linear inequalities given.

To determine which point would be a solution to the system of linear inequalities, let's substitute the given points into the inequalities and see which point satisfies both inequalities.

The system of linear inequalities is:

y > -4x + 6

y > (1/3)x - 7

Let's test each given point:

For the point (9, -7):

Substituting the values into the inequalities:

-7 > -4(9) + 6

-7 > -36 + 6

-7 > -30 (True)

-7 > (1/3)(9) - 7

-7 > 3 - 7

-7 > -4 (True)

Since both inequalities are true for the point (9, -7), it is a solution to the system of linear inequalities.

For the point (-12, -2):

Substituting the values into the inequalities:

-2 > -4(-12) + 6

-2 > 48 + 6

-2 > 54 (False)

-2 > (1/3)(-12) - 7

-2 > -4 - 7

-2 > -11 (False)

Since both inequalities are false for the point (-12, -2), it is not a solution to the system of linear inequalities.

For the point (12, 1):

Substituting the values into the inequalities:

1 > -4(12) + 6

1 > -48 + 6

1 > -42 (True)

1 > (1/3)(12) - 7

1 > 4 - 7

1 > -3 (True)

Since both inequalities are true for the point (12, 1), it is a solution to the system of linear inequalities.

For the point (-12, -7):

Substituting the values into the inequalities:

-7 > -4(-12) + 6

-7 > 48 + 6

-7 > 54 (False)

-7 > (1/3)(-12) - 7

-7 > -4 - 7

-7 > -11 (True)

Since one inequality is true and the other is false for the point (-12, -7), it is not a solution to the system of linear inequalities.

In conclusion, the point (9, -7) is the only solution to the system of linear inequalities given.

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Answer:

\(\frac{2}{9}\)

Step-by-step explanation:

We require to create 2 fractions with the repeating 2 after the decimal point.

let x = 0.22.... → (1) ← multiply both sides by 10

10x = 2.22....... → (2)

Subtract (1) from (2) thus eliminating the repeating decimal

9x = 2 ( divide both sides by 9 )

x = \(\frac{2}{9}\)

Thus

0.22..... = \(\frac{2}{9}\)

Answer:

2/9

Step-by-step explanation:

We require to create 2 fractions with the repeating 2 after the decimal point.

let x = 0.22.... → (1) ← multiply both sides by 10

10x = 2.22....... → (2)

Subtract (1) from (2) thus eliminating the repeating decimal

9x = 2 ( divide both sides by 9 )

x =

Thus

0.22..... =

Answer:

8

Step-by-step explanation:

2 times 4 is 8

Step-by-step explanation:

remember, when multiplying the same base with different exponents, we add the exponents.

when putting exponents to the power of exponents, we multiply the exponents (as simplified shortcut of all the additions we would actually have to do).

((-3)²)⁴ = (-3)⁸

in "slow motion" :

((-3)²)⁴ = (-3)²×(-3)²×(-3)²×(-3)² = (-3)^(2+2+2+2) = (-3)⁸

(-3)² = 9

9⁴ = 6561

(-3)⁸ = 6561

As per the given 4 x 5 matrix, the reduced row echelon form of A is \(\left[\begin{array}{ccc}1&2&0\\0&0&1\\0&0&0\end{array}\right]\)

The term matrix in math refers a set of numbers arranged in rows and columns so as to form a rectangular array.

Here we have the 4 x 5 matrix.

And here we also know that a1,a2,a4 are linearly independent and the value of a3=a1+2a² and a5=2a1-a²+3a⁴.

Now, we have to apply the value of

a1 = 1, a2 = 0, a3 = 0, a4 = 0, a5 = 1, a6 = 0, a7 = 0, a8 = 0, and a9 = 1.

Then we get the matrix of 3 x 3 looks like the following,

\(\left[\begin{array}{ccc}1&0&0\\0&1&0\\0&0&1\end{array}\right]\)

Now, we have to do the following steps in order to get the reduced row echelon form of A,

The first and foremost steps is to take the non-zero number in the first row is the number 1.

Then we have to place any non-zero rows are placed at the bottom of the matrix.

This steps are repeated until the final row becomes zero.

Then we get the resulting matrix as \(\left[\begin{array}{ccc}1&2&0\\0&0&1\\0&0&0\end{array}\right]\)

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The equation of the curve that passes through the point (0, 1) and has a slope of 5xy at any point (x, y) is y = (5/2) * x^2y + 1. This equation represents a curve where the y-coordinate is a function of the x-coordinate, satisfying the conditions.

To determine an equation of the curve that satisfies the conditions, we can integrate the slope function with respect to x to obtain the equation of the curve. Let's proceed with the calculations:

We have:

Point: (0, 1)

Slope: 5xy

We can start by integrating the slope function to find the equation of the curve:

∫(dy/dx) dx = ∫(5xy) dx

Integrating both sides:

∫dy = ∫(5xy) dx

Integrating with respect to y on the left side gives us:

y = ∫(5xy) dx

To solve this integral, we treat y as a constant and integrate with respect to x:

y = 5∫(xy) dx

Using the power rule of integration, where the integral of x^n dx is (1/(n+1)) * x^(n+1), we integrate x with respect to x and get:

y = 5 * (1/2) * x^2y + C

Applying the initial condition (0, 1), we substitute x = 0 and y = 1 into the equation to find the value of the constant C:

1 = 5 * (1/2) * (0)^2 * 1 + C

1 = C

Therefore, the equation of the curve that passes through the point (0, 1) and has a slope of 5xy at any point (x, y) is:

y = 5 * (1/2) * x^2y + 1

Simplifying further, we have:

y = (5/2) * x^2y + 1

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Answer:

This graph shows a function because no vertical line passes through more than one point on the graph.

Step-by-step explanation:

Answer:

I am sure it is 25%

Step-by-step explanation:

1750:7000*100 =

(1750*100):7000 =

175000:7000 = 25

Now we have: 1750 is what percent of 7000 = 25

tell me if i am correct or wrong!