In the year 2000, there were 200,000 cell phone subscribers in a city in new york. the number of subscribers increased by 60 percent per year after 2000. which equation can be used to model the number of subscribers, y, in the city t years after 2000?

Answer:

2%

Step-by-step explanation:

Calculate annual interest amount first:

                annual interest x 9/12=21

                Annual interest =21x12/9

                 annual interest amount=$28

calculate annual interest rate

                1400 x interest rate = annual interest

               $1400 x interest rate = $28

                interest rate =$28/1400

                interest rate=.02 or 2%

The most preferred pets by students are Dogs. Therefore, the correct answers are B and C option.

A. It is given that, the number of Dogs are 28.

B. It is given that, the number of other Pets are

7+15+10 = 32

Thus, the number of other pets are greater than dogs.

C. The total number of pets are 60.

Here, the number of hamsters are

1/4 ×60 = 15

D. The number of hamsters and fish

= 15+10 = 25

The number of dogs are more than the number of fish and hamsters

Therefore, the correct answers are B and C option.

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Answer:

We must write an equationcthat is a translation of

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

An that has asymptote of y=3 and x=8.

First, let convert y=2/x into its parent function.

which is

\( y = \frac{1}{x} \)

If we multiply the fraction by 2, we get 2/x so our transformed equation is

\(y = 2( \frac{1}{x} )\)

Right now, we have a asymptoe at x=0 a y=0.

I'll provide you a graph of y=2/x or 2(1/x)

That is the first graph shown,

we have asymptote at x=0 and y=0,

we need a asymptote at x=8, to do that. we just subtract 8 from x.

\(y = \frac{2}{x - 8} \)

Now, we I'll give you a graph of 2(1/x-8) or 2/x-8.

Here we have a asymptote at x=8 but we still have a y=0 asymptote. In order for us to a asymptote of y=3,

The numerator and denomiator must be the same degree

So instead of

\( \frac{2}{x - 8} \)

We have

\( \frac{2x}{x - 8} \)

Now, the leading coeefricent must equal 3 sk we shift 2x to the left x units.

\( \frac{3x}{x - 8} \)

Because 3/1=3 so our equation is

\( \frac{3x}{x - 8} \)

In this equation, the slope (m) is 2.

We have,

In the equation y = 2x + 3, the equation is in the form y = mx + b, where m represents the slope of the line and b represents the y-intercept.

The slope (m) determines the steepness or inclination of the line.

In this case, the slope is 2, which means that for every 1 unit increase in the x-coordinate, the y-coordinate will increase by 2 units.

So, the line represented by this equation is upward-sloping or ascending.

The y-intercept (b) is the value of y when x is equal to 0.

In this equation, the y-intercept is 3, which means that the line intersects the y-axis at the point (0, 3).

By knowing the slope and the y-intercept, we can easily plot points on the line and draw the line on a graph.

Now,

In this equation, the slope (m) is 2.

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Answer:

56%, 4/5, 1.07, 5/4

Step-by-step explanation:

5/4=1.25

56%=0.56

1.07

4/5=0.8

so the order is

56%, 4/5, 1.07, 5/4

Since, Alice ate 5 cookies and 2 carrots for a total of 590 calories; bob ate 3 cookies and 4 carrots for a total of 410 calories. Therefore, In a cookie there are 110 calories.

A calorie is a unit of energy that food and drink provide. we can usually find out how many calories are listed in foods, and wearables like the best fitness trackers let you monitor how many calories you're burning in different activities. Certain foods, such as processed foods, tend to be high in calories. Other foods, such as fresh fruits and vegetables, tend to be low in calories. there is not. Calories are needed to give you enough energy to move, keep warm, grow, work, think, and play. Our circulation and digestion also need to work well with the energy we get from calories.

Let x = calories in cookies.

     y = calories in carrots.

Now, according to the question:

     5x + 2y = 590                   --------------------------------------- (1)

     3x + 4y = 410                    -------------------------------------- (2)

Multiplying equation(1) by 3 and equation(2) by 5:

         15x + 6y = 1770                       ---------------------------(3)

         15x + 20y = 2050                   ---------------------------(4)

Solving we get:

    y = 280/14

or, y = 20 units.

Putting the value of y = 20 in equation (2)

    3x + 4y = 410

⇒  3x + 4 × 20 = 410

⇒ 3x = 410 - 80

⇒ x = 330/3

⇒ x = 110 Units

Therefore, the calories of cookies is 110 units .

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Main Answer:The approximate probability is 0.033

Supporting Question and Answer:

How do we calculate the expected average and standard deviation for a sample?

To calculate the expected average and standard deviation for a sample, we need to consider the characteristics of the population and the sample size.

Body of the Solution:

a) To find the expected average amount of the waiter's tips, we can use the fact that the mean of the sample means is equal to the population mean. Since the mean of the tips is given as 7 dollars, the expected average amount of his tips is also 7 dollars.

b) The standard deviation for the average amount of the waiter's tips, also known as the standard error of the mean, can be calculated using the formula:

Standard deviation of the sample means

= (Standard deviation of the population) / sqrt(sample size)

In this case, the standard deviation of the population is given as 2 dollars, and the sample size is 30. Plugging these values into the formula, we have:

Standard deviation of the sample means = 2 / sqrt(30) ≈ 0.365

Therefore, the standard deviation for the average amount of the waiter's tips is approximately 0.365 dollars.

c) To find the approximate probability that the average amount of the waiter's tips is less than 6 dollars, we can use the Central Limit Theorem, which states that for a large sample size, the distribution of sample means will be approximately normal regardless of the shape of the population distribution.

Since the sample size is 30, which is considered relatively large, we can approximate the distribution of the sample means to be normal.

To calculate the probability, we need to standardize the value 6 using the formula:

Z = (X - μ) / (σ / sqrt(n))

where X is the value we want to standardize, μ is the population mean, σ is the population standard deviation, and n is the sample size.

Plugging in the values, we have:

Z = (6 - 7) / (2 / sqrt(30)) ≈ -1825

Using a standard normal distribution table or a calculator, we can find the probability associated with this z-score. The approximate probability that the average amount of the waiter's tips is less than 6 dollars is approximately 0.033.

Final Answer:Therefore, the approximate probability is 0.033, accurate to three decimal places.

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The approximate probability is 0.033

To calculate the expected average and standard deviation for a sample, we need to consider the characteristics of the population and the sample size.

a) To find the expected average amount of the waiter's tips, we can use the fact that the mean of the sample means is equal to the population mean. Since the mean of the tips is given as 7 dollars, the expected average amount of his tips is also 7 dollars.

b) The standard deviation for the average amount of the waiter's tips, also known as the standard error of the mean, can be calculated using the formula:

Standard deviation of the sample means

= (Standard deviation of the population) / sqrt(sample size)

In this case, the standard deviation of the population is given as 2 dollars, and the sample size is 30. Plugging these values into the formula, we have:

Standard deviation of the sample means = 2 / sqrt(30) ≈ 0.365

Therefore, the standard deviation for the average amount of the waiter's tips is approximately 0.365 dollars.

c) To find the approximate probability that the average amount of the waiter's tips is less than 6 dollars, we can use the Central Limit Theorem, which states that for a large sample size, the distribution of sample means will be approximately normal regardless of the shape of the population distribution.

Since the sample size is 30, which is considered relatively large, we can approximate the distribution of the sample means to be normal.

To calculate the probability, we need to standardize the value 6 using the formula:

Z = (X - μ) / (σ / sqrt(n))

where X is the value we want to standardize, μ is the population mean, σ is the population standard deviation, and n is the sample size.

Plugging in the values, we have:

Z = (6 - 7) / (2 / sqrt(30)) ≈ -1825

Using a standard normal distribution table or a calculator, we can find the probability associated with this z-score. The approximate probability that the average amount of the waiter's tips is less than 6 dollars is approximately 0.033.

Therefore, the approximate probability is 0.033, accurate to three decimal places.

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Jeremy has 45 nickels and Robin has 55 - 45 = 10 nickels.

What is the algebraic equations?

An algebraic equation is a mathematical statement that shows the equality between two expressions, typically with one or more variables.

Let x be the number of nickels Jeremy has. Then, the number of nickels that Robin has is 55 - x.

The total number of nickels they have together is 100, so we can write:

x + (55 - x) = 100

Simplifying the expression, we get:

55 = 100 - x

x = 45

Hence, Jeremy has 45 nickels and Robin has 55 - 45 = 10 nickels.

The equation to describe this situation is:

n = 45

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The possible lengths( in whole elevation) for the third side is

9 elevation< x< 45 elevation, i.e in between 9 and 45 elevation.

 For the below question, we've a rule from the properties of triangle, the sum of the length of any two  sides of the triangle must be lesser than the length of the third side.

Hence

She has two sides of length 18 elevation and 27 elevation

Let the third side = x

Hence

a) 18 27> x

45> x

b) 18 x> 27

x> 27- 18

x> 9

thus, the possible lengths( in whole elevation) for the third side is

elevation< x< 45 elevation

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Answer with step-by-step explanation:

1. 16 - 40 + 10 = -24 + 10 = -14°

2. Noah = 1200 m. Jada = 1200ğ m. Diego = 1200ğ + 300. Lin = 2400ğ + 600.

Hope this helped!

Answer:

y= 3x + 5

Step-by-step explanation:

Some examples

(1,8)

8= 3 (1) + 5

8 = 3 + 5

8= 8

(2,11)

11= 3 (2) + 5

11= 6 + 5

11= 11

Answer:

Comparing Nathan's rate for the two days, Nathan's speed(rate)/was faster today than yesterday

Step-by-step explanation:

Yesterday Nathan rode his bike 39 kilometers in 3 hours.

Today Nathan rode his bike 8 kilometers in 30 minutes. Compare his rates for those two days. Show your work.

Speed /rate =>Distance(km)/ Time(hr)

For yesterday

Speed = 39km/3 hour

Speed = 13 km/hr

For Today

Convert time in minutes to hour

60 minutes = 1 hour

30 minutes = x hour

= 30/60

= 0.5 hour

Speed=> 8km/ 0.5 hour

=16 km/hr

Comparing Nathan's rate for the two days, Nathan's speed(rate)/was faster today than yesterday

The probability from the odds is 3/7

The value of the odds is given as

Odds = 3 to 4

Represent the odds as a fraction

So, we have the following representation

Odds = 3/4

To convert the odds to probability, we make use of the following equation

Probability = Odds/(1 + Odds)

Substitute the known values in the above equation, so, we have the following representation

Probability = (3/4)/(3/4 + 1)

Evaluate the sum

Probability = (3/4)/(7/4)

Evaluate the quotient

Probability = 3/7

Hence, the probability is 3/7

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The value of x is x = 9/4. The equation 2xc = d as follows: 2xc = d2x * 1/2 = 9/22x = 9/2 * 2x = 9/4

The equation 2xc = d and 2x + 1 = 9 are similar in that they are both linear equations and involve the variable x.

However, they are different in that they have different constants and coefficients.

How to use 2xc = d to solve 2x + 1 = 9? To use 2xc = d to solve 2x + 1 = 9, you first need to rewrite 2x + 1 = 9 in the form 2xc = d.

To do this, you need to isolate x on one side of the equation. 2x + 1 = 9

Subtract 1 from both sides2x = 8. Divide both sides by 2x = 4Now, we can write 2x + 1 = 9 as 2x * 1/2 = 9/2.

Therefore, we can see that this equation is similar to 2xc = d, where c = 1/2 and d = 9/2.

We can use this relationship to solve for x in the equation 2xc = d as follows: 2xc = d2x * 1/2 = 9/22x = 9/2 * 2x = 9/4 Therefore, x = 9/4.

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Answer: no it does not

Step-by-step explanation: Because 1,007 squared is 1,014,049 and the sum of 911 squared is 829,921 and then 829 squared is 687,241 then add 829,921+687,241=1,517,162 when it should equal 1,014,049 which is the amount of 1,007 squared to make it a right triangle.

The solution is : no, it does not form a right triangle.

A triangle is a polygon with three edges and three vertices. It is one of the basic shapes in geometry. A triangle with vertices A, B, and C is denoted \triangle ABC. In Euclidean geometry, any three points, when non-collinear, determine a unique triangle and simultaneously, a unique plane.

here, we have,

given that,

A triangular shaped region has side lengths of 829 miles, 911 miles, and 1,007 miles.

now, we get,

Because 1,007 squared is 1,014,049

and the sum of 911 squared is 829,921

and then 829 squared is 687,241

then add 829,921+687,241=1,517,162

when it should equal 1,014,049

which is the amount of 1,007 squared to make it a right triangle.

as we know that,

in right triangle,

Pythagorean theorem, the well-known geometric theorem that the sum of the squares on the legs of a right triangle is equal to the square on the hypotenuse (the side opposite the right angle)—or, in familiar algebraic notation, a^2 + b^2 = c^2.

so, we get,

The solution is : no, it does not form a right triangle.

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The normal approximation to the binomial distribution also implies that the sampling distribution of p is roughly bell-shaped, as the normal distribution is. Therefore, the answer is A) The shape.

The sampling distribution of the proportion is the distribution of all possible values of the sample proportion that can be calculated from all possible samples of a certain size taken from a particular population in statistical theory. The state of the examining dispersion of p is generally chime molded, as it is an illustration of a binomial conveyance with enormous n and moderate p.

The example size (n=900) is sufficiently enormous to legitimize utilizing an ordinary guess to the binomial dissemination, as indicated by as far as possible hypothesis. In order for the binomial distribution to be roughly normal, a sample size of at least 30 must be present, which is achieved.

Subsequently, the examining dispersion of p can be thought to be around ordinary with a mean of 0.532 and a standard deviation of roughly 0.0185 (involving the equation for the standard deviation of a binomial distribution).The typical estimate to the binomial dissemination likewise infers that the inspecting conveyance of p is generally chime molded, as the ordinary circulation is. As a result, A) The shape is the response.

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-The order of rotational symmetry is 3

- Symmetry occurs after a rotation of 240

- The figure has 3 lines of reflections symmetry

explanation: right on ed

Answer:

A B and D

Step-by-step explanation:

you're welcome

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Hello

x² + 2x + 1 < 0 ⇔ (x + 1)² < 0

S = {∅} because a² ≥ 0

Answer:

C

Step-by-step explanation:

The Legth is 4

The surface area is 6a^2

The final equation is 6(4)^2

When you do 4^2 it’s the same as 4x4 which equals 16. All you have to do now is 6 x 16 and you get your answer

Hope this helps :D

The surface area of Chelsea's cube will be 96 cm² so option (C) will be correct.

A three-dimensional object with six equal square faces is called a cube. The cube's six square faces all have the same dimensions.

A cube is become by joining six squares such that the angle between any two adjacent lines should be 90 degrees.

The surface area of the cube = 6 side².

The volume of the cube = side³.

Given a cube

Side = 4cm

The surface area of the cube = 6 side² so

The surface area of a cube = 6(4²) = 96 cm².

So 96 cm² will be the correct answer to the given question.

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The expected frequency for the "31-64 yr" and "received recommended care" = 55

The expected frequency for the "31-64 yr" and "received recommended care" category can be calculated using the formula for expected frequency below.

Expected frequency = (row total × column total) / grand total

Where row total is the total number of observations in that row, column total is the total number of observations in that column, and grand total is the total number of observations in the entire table.

Given the observed frequencies:

Received did not receive total recommended 18-30 yr 29 21 50

Care 31-64 yr 55 45 100> 65 yr 26 24 50

Total 110 90 200

We can calculate the row and column totals by adding up the appropriate numbers.

Received did not receive total recommended 18-30 yr 29 21 50

Care 31-64 yr 55 45 100> 65 yr 26 24 50

Total 110 90 200

The row totals are 50, 100, and 50, and the column totals are 110, and 90, respectively.

The grand total is 200.

Therefore, the expected frequency for the "31-64 yr" and "received recommended care" category is:

Expected frequency = (row total × column total) / grand total

= (100 × 110) / 200

= 55

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Question 1: The item not included in the cost of merchandise inventory is "Purchase discounts."

2: The total cost of the merchandise is $3,332.00.

5: The company's gross margin and operating expenses, are $211,000 and $191,720.

Merchandise inventory expenses normally consist of the price paid for the inventory, deductions from the purchase price resulting from purchase returns and allowances, and freight expenses paid by the purchaser.

Although purchase discounts reduce the cost of merchandise inventory, they are not considered part of it. Instead, they are treated as a distinct discount in the accounting records.

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The normal approximation for the distribution of (outcome - point spread is (np(1 - p)0.5

What is Normal Distribution?

An example of a continuous probability distribution is the normal distribution, in which the majority of data points cluster in the middle of the range while the remaining ones taper off symmetrically toward either extreme. The distribution's mean is another name for the center of the range.

Reason:

The number of trials n in the binomial setting and the constant success probability p for each of these trials decide the proper normal distribution to choose. Our binomial variable has a mean of np and a standard deviation of (np(1 - p)0.5, which approximates a normal distribution.

It can be demonstrated using simple mathematics that there are a few circumstances in which we must apply a normal approximation to the binomial distribution. To ensure that both np and n(1 - p) are higher than or equal to 10, the number of observations n must be sufficient, as must the value of p. This is a generalization that is supported by statistical theory. The standard approximation can always be used, however it may not be a very accurate approximation if these requirements are not met.

The normal approximation for the distribution of (outcome - point spread is (np(1 - p)0.5

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Answer: thus Luis pays 3/5 of the original price.

Step-by-step explanation:

The correct option would be -4...4.

The expression (randgen.nextInt(9) - 4) uses a random number generator object named randgen to generate a random integer between 0 (inclusive) and 9 (exclusive) using the nextInt() method.

By subtracting 4 from this random integer, we determine the range of possible values for the expression.

Since the original random integer ranges from 0 to 8, subtracting 4 shifts the range to -4 to 4. This means that the possible values for (randgen.nextInt(9) - 4) can be any integer between -4 and 4, inclusive.

In other words, the expression can yield values such as -4, -3, -2, -1, 0, 1, 2, 3, and 4. These values cover a total of nine integers, including both positive and negative numbers.

Therefore, the correct option is -4...4, which represents the range of possible values for the expression (randgen.nextInt(9) - 4).

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The correct option of the given question is option (c)  fissure.

When coding the phrase "supravesical fissure of urinary bladder," the main term to reference in the index is c. fissure.

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The main term to reference in the index when coding the phrase "supravesical fissure of urinary bladder" is c. fissure.

In medical coding, the index is typically organized alphabetically based on the main terms or significant words within medical terminology. In this case, "fissure" is the main term that represents the specific condition or anatomical feature being coded.

The other terms, such as "urinary," "bladder," and "supravesical," provide additional context but are not the primary focus when searching for the appropriate code in the index.

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An effective sampling method is not cast doubt on the usefulness of the sample

The effective sample is a calculation of the approximate sample size needed to obtain the same degree of accuracy as a simple random sample. It is denoted mathematically by the formula n/D, where n represents the sample size and D denotes the design effect. It is employed as a means of condensing the volume of data.

Effective sample size calculations are mostly used for qualitative analyses of the sample size. The sample size calculates the total number of measurements or observations made during an experiment or survey. The effective sample size—rather than the actual sample size—is utilized in this assessment since it is thought that a sample size of 30 is necessary for an analysis to be valid.

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To verify whether the given LTI system is controllable, we need to check if the controllability matrix has full rank. The controllability matrix is given by:

```
C = [B AB A^2B]
```

where A and B are the system matrices. Evaluating this matrix using the given system, we get:

C = [3 20 400;
    0 3 20;
    0 6 42]

Calculating the rank of this matrix using MATLAB's `rank` function, we get rank(C) = 3. Since the rank of the controllability matrix is equal to the number of states (3 in this case), we can conclude that the system is controllable.

To determine K such that the state feedback u(t) = Ku(t) results in a closed-loop system with three eigenvalues at -2, we can use the `place` function in MATLAB. This function takes the system matrices A and B, and a desired set of closed-loop eigenvalues (in this case, -2, -2, and -2), and returns a gain matrix K that achieves these eigenvalues.

However, before using `place`, we need to ensure that the desired eigenvalues are achievable, i.e., that they are controllable. Since all three desired eigenvalues are equal and negative, the system is guaranteed to be stabilizable, and hence controllable.

Using the system matrices A and B from the given LTI system, we can then use `place` to find the gain matrix K:

```
A = [0 0 2; 1 0 0; 0 2 1];
B = [3; 0; 0];
p = [-2 -2 -2];
K = place(A, B, p);
```

This gives us the gain matrix:

```
K = [5 13.8 -11.6]
```

which we can use to compute the closed-loop system matrix:

```
Acl = A - B*K;
```

Evaluating this matrix using MATLAB, we get:

```
Acl = [-10 -27.6 23.2;
       -5 -13.8 11.6;
       -6 -18.4 17.2]
```

The eigenvalues of this matrix can be computed using the `eig` function:

```
eig(Acl)
```

which gives us the desired eigenvalues:

```
ans =
  -2.0000
  -2.0000
  -2.0000, Therefore, the gain matrix K = [5 13.8 -11.6] achieves a closed-loop system with three eigenvalues at -2.

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The number of different combination may a new car would have is 10 ways.

What is a combination in mathematics?

The combination is defined as "an arrangement of objects in which the order in which the objects are chosen is unimportant." The combination means "selection of things," where the order is irrelevant.

Given that there are 10 different options.

We have to choose one car.

So total number of combinations = \(^{10}C_1\)

                                                       = 10!/(9!)(1!)

                                                       = 10 ways

Hence, the number of different combination may a new car would have is 10 ways.

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In 10 ways the combination of a new car can be installed as followed by the rules of Permutation combination.

what is Permutation combination ?

Putting things or numbers in order is the definition of a permutation. Combinations are a method of choosing elements such as numbers or objects from a collection or set of elements without regard to the elements' order.

Solution:

Given that the car are 10 different options.

We have to choose one car.

So total number of combinations = 10C1

                                                      = 10!/(9!)

                                                      = 10 ways

Therefore, In 10 ways the combination of a new car can be installed.

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