Meghan has her own business. When she makes money, it is called income. When she spends money, it is called expenses. Choose the phrases below to explain how to use positive or negative integers to represent income and expenses. You would use positive integers to represent income because it is a Choose... amount. You would use negative integers to represent expenses because they are opposites of income.

The skip interval should be 40 if the sampling frame has 2000 names and the desired sample size is 50.

Systematic sampling is a type of sampling which uses the probability method where researchers select members of the group or population at a regular interval.

To determine the skip interval, it is necessary to first determine the sample size. Then the skip interval can be determined by dividing the total population by the target/desired sample size. Therefore;

skip interval = population / target sample size

Substituting the given values;

skip interval = 2000 / 50

skip interval = 40

Hence, the skip interval is calculated to be 40 if the frame has 2000 names and the desired sample size is 50.

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Fuel consumption determines the number of gallons of fuel needed to travel a certain distance. To travel 2625 miles, the tank must be filled 75 / 15 = 5 times.

To solve the given problem, we need to make use of the concept of fuel consumption. This concept determines the number of gallons of fuel needed to travel a certain distance. Hence, let's first calculate the car's fuel consumption to travel one mile.

Step 1: Fuel consumption to travel one mile The car gives 35 miles per gallon. Hence, fuel consumption to travel one mile = 1 / 35 gallon = 0.0286 gallons

Step 2: Number of times the tank must be filled To travel 2625 miles, the total fuel required = 0.0286 x 2625 = 75 gallons Given, the tank capacity = 15 gallons Hence, the tank must be filled 75 / 15 = 5 times to travel 2625 miles.

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If frank weighs 160 lbs gains 2 lbs a week, john weighs 208 lbs and loses 3 lbs a week.

a. When they will weigh the same is  9.6 dieting days and the amount is 179.2lbs.

b. Based on the calculation both of them has the same amount of weight.

a. Weight

Let d represent the number of dieting days for this happen.

Since Frank gains 2 lb a day or a total of 2d lbs and John loses 3 lb a day for a total of 3d lbs

So,

John's weight = Frank's weight

Hence,

208 - 3d = 160 + 2d

Combine like terms

208 - 160 = 2d + 3d

48 = 5d

Divide both side by 5d

d = 48/5

d = 9.6 dieting days

The amount the weigh

Using John equation

Weigh = 208 - 3(9.6)

Weigh = 208 - 28.8

Weigh = 179.2 lbs

b. The amount they both weigh is the same as John weigh 179.2ilb and Frank as weigh the same.

Using Frank's equation

Weigh = 160 + 2(9.6)

Weigh = 160 + 19.2

Weigh = 179.2 lbs

Therefore when they will weigh the same is  9.6 dieting days and the amount is 179.2lbs.

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To set up the artificial variable LP (Phase I LP) for the given problem, we introduce an artificial variable, LP, to the objective function with a coefficient of 1. The artificial variable is used to identify infeasible solutions.

To set up the artificial variable LP (Phase I LP), we modify the objective function as follows:

Maximize Z = 4x1 + 7x2 + x3 + LP

The artificial variable LP is introduced to the objective function with a coefficient of 1. This allows us to track its value during the iterations.

The initial constraints remain the same:

2x1 + 3x2 + x3 = 20

3x1 + 4x2 + x3 + x4 = 40

8x1 + 5x2 + 2x3 - x5 = 70

The initial basic variables (BV) are the slack variables corresponding to the equality and inequality constraints, namely, x3 and x4. The artificial variable LP is initially a non-basic variable.

The initial artificial variables' basic variable (BVB) values are set to the right-hand side values of the constraints:

x3 = 20

x4 = 40

The initial artificial variable LP's value is set to 0.

Next, the artificial variable LP is selected as the entering variable, as it has a positive coefficient in the objective function. To determine the leaving variable, we perform the ratio test using the ratios of the right-hand side values and the entering column values (coefficients of LP) for the respective constraints.

The leaving variable is determined based on the minimum ratio, ensuring that the corresponding row represents a valid pivot element. If no valid pivot element is found, the problem is infeasible.

This completes the setup of the artificial variable LP (Phase I LP) without performing a complete pivot. Further steps would involve applying the simplex method and iteratively pivoting to find the optimal solution or identify infeasibility.

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That a full cut round brilliant diamond with a 6.50 mm girdle diameter typically weighs around 1.00 carat.

carat weight is determined by a combination of a diamond's size and density. A diamond's size is measured by its diameter, which is the distance across the widest part of the diamond, known as the girdle. Therefore, a diamond with a larger girdle diameter will generally weigh more than a diamond with a smaller diameter, assuming all other factors are equal.

the weight of a diamond can be estimated based on its girdle diameter, and a full-cut round brilliant diamond with a 6.50 mm girdle diameter typically weighs around 1.00 carat. However, it's important to note that other factors, such as depth, cut, and clarity, can also affect a diamond's weight and value.

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It is impossible to say if the rate of change of the volume changes from positive to negative at a specific time.

It is not possible to determine if there is a time t, for 5 < t < 10, at which the rate of change of the volume of water in the tub changes from positive to negative without any more information. The rate of change of the volume of water in the tub is the derivative of the function representing the volume of water in the tub with respect to time. The information provided does not specify the function or the rate of change of the volume of water in the tub so it is impossible to say if the rate of change of the volume changes from positive to negative at a specific time.

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The procedure for finding the area between two curves Find the intersection points, set up the integral using the difference between the curves, integrate, take the absolute value, and evaluate the result and the area between the two curve in excercise 1 is 40/3

The procedure for finding the area between two curves involves the following steps:

Identify the two curves: Determine the equations of the two curves that enclose the desired area.

Find the points of intersection: Set the two equations equal to each other and solve for the x-values where the curves intersect. These points will define the boundaries of the region.

Determine the limits of integration: Identify the x-values of the intersection points found in step 2. These values will be used as the limits of integration when setting up the definite integral.

Set up the integral: Depending on whether the curves intersect vertically or horizontally, choose the appropriate integration method (vertical slices or horizontal slices). The integral will involve the difference between the equations of the curves.

Integrate and evaluate: Evaluate the integral by integrating the difference between the two equations with respect to the appropriate variable (x or y), using the limits of integration determined in step 3.

Calculate the absolute value: Take the absolute value of the result obtained from the integration to ensure a positive area.

Round or approximate if necessary: Round the final result to the desired level of precision or use numerical methods if an exact solution is not required.

In summary, to find the area between two curves, determine the intersection points, set up the integral using the difference between the curves, integrate, take the absolute value, and evaluate the result.

Here's the procedure explained using the exercises:

Exercise 1:

Consider the functions F(x) = \(x^2 + 2x + 1\)and f(x) = 2x + 5. To find the area between these curves, follow these steps:

Set the two functions equal to each other and solve for x to find the points of intersection:

\(x^2 + 2x + 1 = 2x + 5\)

\(x^2 - 4 = 0\)

(x - 2)(x + 2) = 0

x = -2 and x = 2

The points of intersection, x = -2 and x = 2, give us the bounds for integration.

Now, determine which curve is above the other between these bounds. In this case, f(x) = 2x + 5 is above F(x) =\(x^2 + 2x + 1.\)

Set up the integral to find the area:

Area = ∫[a, b] (f(x) - F(x)) dx

Area = ∫\([-2, 2] ((2x + 5) - (x^2 + 2x + 1)) dx\)

Integrate the expression:

Area = ∫\([-2, 2] (-x^2 + x + 4) dx\)

Evaluate the definite integral to find the area:

Area = \([-x^3/3 + x^2/2 + 4x] [-2, 2]\)

Area = [(8/3 + 4) - (-8/3 + 4)]

Area = (20/3) + (20/3)

Area = 40/3

Therefore, the area between the curves F(x) = \(x^2 + 2x + 1\)and f(x) = 2x + 5 is 40/3 square units.

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Answer:

1.50x>2.25x+9.00

Step-by-step explanation:

Because the 1.50 has to go their because 2.25 is greater than 1.50, the 9.00 is at the end because their is not a variable. How to know were theh variables go is the each.

She purchased a new lemon squeezer for $9.00.

The cost of the ingredients for each serving of lemonade is $1.50.

She will be selling each serving of lemonade for $2.25.

The inequality that represents the minimum number of servings of lemonade is 1.50x>2.25x+9.00.

We have given that,

Malika is making lemonade to sell at a school fundraiser.

The total cost is the addition of all the costs.

Malika must sell for the money from her sales to exceed the total cost of making the lemonade.

Because the 1.50 has to go there because 2.25 is greater than 1.50, the 9.00 is at the end because there is not a variable.

How to know where variables go is the each.

She purchased a new lemon squeezer for $9.00.

The cost of the ingredients for each serving of lemonade is $1.50.

She will be selling each serving of lemonade for $2.25.

Therefore we get the inequality that represents the minimum number of servings of lemonade is 1.50x>2.25x+9.00.

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Answer:

3

Step-by-step explanation:

I can't explain.. i don't know it's like a whole paragraph. I'm sorry! I hope I helped tho!

Answer:

The answer is 64, and I’m being for real

Step-by-step explanation:

Answer:

Trinity can withdraw $25 from her bank account for 13 weeks.

Step-by-step explanation:

If she wants to have at least $200 by the end of summer you need to subtract that much from what she has now. Which would be $325.38. Now you have to divide that number into 25, which should give you the number of week that money would last. That number is 13.0152, you don't need all those extra numbers so just use 13. No to check you work multiply 25 and 13. You get 325.

The probability that the sample mean age is between 19 and 22 years is approximately 0.8186 or 81.86% (rounded to four decimal places).

What is probability?

Probability is a measure of the likelihood of an event occurring. It is a number between 0 and 1, where 0 means the event is impossible and 1 means the event is certain to happen.

We know that the sample mean age of 9 students follows a normal distribution with a mean of 21 years and a standard deviation of 3/sqrt(9) = 1 year (since the standard error of the mean is the standard deviation divided by the square root of the sample size).

To find the probability that the sample mean age is between 19 and 22 years, we first need to standardize the values using the standard normal distribution. We can do this by subtracting the mean and dividing by the standard error:

z1 = (19 - 21) / 1 = -2

z2 = (22 - 21) / 1 = 1

Now we need to find the probability that the sample mean falls between -2 and 1 standard deviations from the mean of the standard normal distribution. We can look this up in a standard normal distribution table or use a calculator:

P(-2 < Z < 1) = 0.8186

Therefore, the probability that the sample mean age is between 19 and 22 years is approximately 0.8186 or 81.86% (rounded to four decimal places).

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Answer:

13

Step-by-step explanation:

this is because you have to look for the most common number

The system stable with P(1)=1.7 and P(-1)=2.7. The correct answer is b.

To test the stability of a discrete control system with an open loop transfer function, we need to examine the roots of the characteristic equation, which is obtained by setting the denominator of the transfer function equal to zero.

The characteristic equation for the given transfer function G(z) is:

z^2 - 1.2z + 0.2 = 0

We can find the roots of this equation by factoring or using the quadratic formula. In this case, the roots are complex conjugates:

z = 0.6 + 0.4i

z = 0.6 - 0.4i

For a discrete control system, stability is determined by the location of the roots in the complex plane. If the magnitude of all the roots is less than 1, the system is stable. If any root has a magnitude greater than or equal to 1, the system is unstable.

In this case, the magnitude of the roots is less than 1, since:

|0.6 + 0.4i| = sqrt(0.6^2 + 0.4^2) ≈ 0.75

|0.6 - 0.4i| = sqrt(0.6^2 + 0.4^2) ≈ 0.75

Therefore, the system is stable.

The correct answer is:

b. Stable with P(1)=1.7 and P(-1)=2.7

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The p-value of the test claim is calculated as; p < 0.00001.

The z-score between two samples is expressed as;

z =  (x₁ – x₂)/√(σ₁²/n₁) + (σ₂²/n₂)

The parameters given are;

Sample mean 1: x₁ = 23.38

Sample mean 2: x₂ = 18.69

Sample standard deviation 1: σ₁ = ?

Sample standard deviation 2: σ₂ = ?

Sample size 1: n₁ = 40

Sample size 2: n₂ = 35

standard error = sample standard deviation /√(sample size)

σ₁ = 23.38/√40

σ₁ = 3.697

σ₂ = 18.69/√35

σ₂ =  3.159

Thus;

z = (23.38 – 18.69)/√(3.697²/40) + (3.159²/35)

z = (23.38 – 18.69)/0.792

z = 5.92

From online p-value from z-score calculator, p < 0.00001.

Thus, the p-value is less than the significance value and the results are significant and alternate hypothesis is accepted.

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By the Work out the  estimate for the value of 92 × 1.63 is approximately equal to 180.

To calculate an estimate for the value of 92 × 1.63, we can use the rounding method.

Rounding means to replace a number with another number that is approximately equal to it and has fewer digits.

For example, we can round 1.63 to 1.6 and 92 to 90, as follows:

92 × 1.63 ≈ 90 × 1.6

To get an estimate of the value 92 × 1.63, round the number to the nearest integer and perform the multiplication.

Round 92 to the nearest integer:

92 ≈ 90

Round 1.63 to the nearest integer:

1.63 ≈ 2

Multiplied and rounded numbers:

90 × 2 = 180

So the estimate for the value of 92 × 1.63 is 180.

We can also use the multiplication table to get an approximate answer as follows:

90 × 2 = 180, 90 × 1.5 = 135, and 90 × 0.1 = 9

Thus, 92 × 1.63 is approximately equal to 180.

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The NPV is positive, it is worth taking the Investment.

Net Present Value (NPV) is an assessment method that determines the attractiveness of an investment. It is a technique that determines whether an investment has a positive or negative present value.

This method involves determining the future cash inflows and outflows and adjusting them to their present value. This helps determine the profitability of the investment, taking into account the time value of money and inflation.The formula for calculating NPV is:

NPV = Σ [CFt / (1 + r)t] – CIWhere CFt = the expected cash flow in period t, r = the discount rate, and CI = the initial investment.

The given problem can be solved by using the following steps:

Calculate the present value (PV) of the expected cash inflows:

Year 1: $28,000 / (1 + 0.08)¹ = $25,925.93Year 2: $28,000 / (1 + 0.08)² = $24,009.11Year 3: $28,000 / (1 + 0.08)³ = $22,173.78Total PV = $72,108.82

Calculate the PV of the initial investment: CI = $7,000 / (1 + 0.08)¹ + $35,000 / (1 + 0.08)²CI = $37,287.43Calculate the NPV by subtracting the initial investment from the total PV: NPV = $72,108.82 – $37,287.43 = $34,821.39

Since the NPV is positive, it is worth taking the investment.

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Answer:

The account balance after 24 months will be $23,092.70

Step-by-step explanation:

Given data

P= $20,000

r= 7.77%= 0.077

t= 2 years

A= ?

n= 24

The compound interest formula is

\(A= P(1+t)^t\)

Inserting our values to solve for A we have

\(A= 20000(1+\frac{0.077}{24} )^2^*^2^4\\\\A= 20000(1+0.003 )^2^*^2^4\\\\A= 20000(1.003 )^2^*^2^4\\\A= 20000(1.003 )^4^8\\\A= 20000*1.15463517818\\\A= 23092.7035636\\\A= 23,092.70\)

Answer:

3

Step-by-step explanation:

9-(2•3)=x

9-6=x

9-6=3

No, statistics and quantitative data are not necessarily more valid and objective than qualitative research.

While quantitative data can provide precise numerical measurements, it may not capture the full complexity of a particular phenomenon or experience. Qualitative research, on the other hand, can offer rich and nuanced insights into human behavior and attitudes. It allows for a deeper understanding of the context and meaning behind the data.

Ultimately, the choice between quantitative and qualitative research depends on the research question and the goals of the study. Both methods have their strengths and limitations, and it is important to consider them carefully when designing a study.

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Therefore , r its derivation are not present. The dependent variable does not have a transcendental function.

Numbers and their variants, math and nearby tissues, shapes and their real positions, as well as potential placements, are all studied in mathematics. The term "function" describes the connection between a group of inputs, each of which has a corresponding output. An input-output relationship is called a function when each input results in a single, unique output. A realm and a city or municipality, or scope, are assigned to each function.

Here,

Given :  (1+y²)(d²y/dt²)+t(dy/dt)+y=et

The second derivative is the highest derivative in this fractional derivative (). As a result, this differential equation has an order of 2.

The dependent variable's product and its derivative are present, indicating linearity.

The differential equation is hence non-linear.

Second order nonlinear ordinary differential equations are categorized as such.

t²(d²y/dt²)+t(dy/dt) + 2y =sint

The differential equation shown is  t²(d²y/dt²)+t(dy/dt) +2y=sint

Order: This differential equation has a higher order differential equation since the largest derivative it has is.

Lack of the dependent variable's product and/or derivative indicates linearity. Higher powers of the variable or its derivation are not present. The dependent variable does not have a transcendental function.

Therefore , r its derivation are not present. The dependent variable does not have a transcendental function.

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Todd use to save $500 in less than 16 weeks and have $20 extra in Plan C.

In plan A,

    Plans for saving = $500

  Amount of saving each week = $20

∴ Number of weeks needed to make goal = (500 ÷ 20) (by using division)

                                                                       = 25

In plan B,

    Plans for saving = $500

   Amount of saving each week = $30

∴ Number of weeks needed to make goal = (500 ÷ 30) (by using division)

                                                                       = 17

In plan C,

    Plans for saving = $500

   Amount of saving each week = $40

∴ Number of weeks needed to make goal = (500 ÷ 40) (by using division)

                                                                       = 13

In plan D,

    Plans for saving = $500

   Amount of saving each week = $50

∴ Number of weeks needed to make goal = (500 ÷ 50) (by using division)

                                                                       = 10

So, Todd use to save $500 in less than 16 weeks and have $20 extra in Plan C.

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Answer:

Step-by-step explanation:

Answer:

16/3 or 5 1/3

Step-by-step explanation:

7 + x - 15 = -2 2/3

x - 8 = -2 2/3

x = 16/3

Answer:

Let's solve your equation step-by-step.7+x−15=223

Step 1: Simplify both sides of the equation.

x−8=8/3

Step 2: Add 8 to both sides

.x−8+8=8/3+8x=32/3

Answer:x=10 2/3

i just answered this question on an algebra quiz and it was multiple choice, i hope this helps!

To determine the speed of the car at the bottom of the hill, we can use the principle of conservation of energy. As the car rolls down the hill, it will convert its potential energy at the top into kinetic energy at the bottom, neglecting any energy losses due to friction or air resistance.

The potential energy of the car at the top of the hill is given by the formula:

Potential Energy = mass × gravity × height

Since the mass of the car is not provided, we can assume it to be a constant value for the purpose of this calculation. Gravity is approximately 9.8 m/s².

The kinetic energy of the car at the bottom of the hill is given by the formula:

Kinetic Energy = (1/2) × mass × velocity²

Since the potential energy at the top is equal to the kinetic energy at the bottom, we can equate the two equations and solve for velocity.

mass × gravity × height = (1/2) × mass × velocity²

Simplifying the equation, we find:

velocity² = 2 × gravity × height

Taking the square root of both sides, we get:

velocity = √(2 × gravity × height)

Substituting the given values, with gravity as 9.8 m/s² and height as 50 m, we can calculate the velocity. Plugging the values into the equation, we find: velocity = √(2 × 9.8 m/s² × 50 m) ≈ 31.3 m/s

Therefore, the car will be going at approximately 31.3 meters per second (m/s) at the bottom of the hill.

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Answer: $23.92

Step-by-step explanation:

First, we know that 6 bagels is $2.99.

48/6=8

This means that 6 is a multiple of 48, which makes it easier to solve.

$2.99 x 8 = 23.92

= $23.92

Answer:

6$

Step-by-step explanation:

2+4=6

20%+40%=60%

The new price after the increase is $2.8 .

Percentage increase is the difference between the final value and the initial value, expressed in the form of a percentage. In other words, it is the difference between the final value and the initial value which is divided by the initial value and then multiplied by 100.

According to the question

The price of chocolate bar = $2

The price of a particular chocolate bar is increased by 40%,

i.e

The percent increase in the price of chocolate bar = 40%

Now,

increase prize :

= \(2*\frac{40}{100}\)

= $0.8  

The new price after the increase

= $2.8

Hence, the new price after the increase is $2.8 .

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The required original  number that Peter was thinking about is 18.25.

Let us assume that the original number be x that Peter is thinking about.

Peter adds 6 to the number, therefore the number becomes = (6 + x )

Then doubles the new number therefore it becomes = 2(6 + x) = 12 + 2x

According to question by applying rule of forming equations ( from the information given ) we get,

12 + 2x = 48.5

⇒ 2x = 48.5 - 12

⇒ 2x = 36.5

⇒ x = 36.5/2

⇒ x = 18.25

Hence the original number is 18.25.

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