help, please the question and thank you

In a graph, X and Y are two axes that are used to plot data points.

X represents the independent variable and Y represents the dependent variable. The relationship between the two variables is represented by a mathematical equation which is usually represented by a line on the graph. A graph is a visual representation of data in which points on a plane are used to represent values of a particular variable. X and Y are two variables that are typically used in a graph. X is the independent variable, which is plotted on the horizontal axis. It is the input or cause that affects the output or effect, which is represented by Y. Y is the dependent variable, which is plotted on the vertical axis. It is the output or effect that is caused by the input of the independent variable. The equation usually takes the form of y = mx + b, where m is the slope of the line, x is the independent variable, y is the dependent variable and b is the y-intercept of the line. In order to calculate the equation of the line, you must have at least two points on the graph. You then plug in the two points into the equation to calculate the slope and intercept. Once you have the equation, you can plot all the other points on the graph and draw the line.

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To obtain a smaller margin of error, choose a smaller confidence level.

Margin of error is defined as the degree of the sampling errors in statistics. It can be calculated using the formula below.

MOE = z x (SD / √n)

where MOE = margin of error

z = found by using a z-score table

SD = sample standard deviation

n = sample size

Based on the formula, to reduce the margin of error, the z-score, z, must be small. In order to have a smaller value of z, the probability, p, should also be small. And to obtain a small probability, choose a smaller confidence level.

Hence, to reduce the margin of error, use a lower confidence level.

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The NPV of a project that costs $449,000 today and cash inflows $4,200 monthly paid annually, for seven years from today if the opportunity cost of capital is 4 is -$146,499.20.

The NPV (net present value) is the difference between the discounted cash inflows and the discounted cash outflows.

In this situation, the cash inflows form an annuity and we can use the present value annuity factor to compute the present value of the cash inflows from which the cash outflows are deducted.

The projects costs = $449,000

Monthly cash inflows = $4,200

Annual cash inflows = $50,400 ($4,200 x 12)

Project lifespan = 7 years

The opportunity cost of capital (discount rate) = 4%

Annuity factor of 4% for 7 years = 6.002

Discounted present value of cash inflows = $302,500.80 ($50,400 x 6.002)

NPV = -$146,499.20 (-$449,000 + $302,500.80)

Thus, the project yields a negative NPV of -$146,499.20, implying that the cash outflows are greater than the discounted cash inflows.

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What is the NPV of a project that costs $449,000 today and cash inflows $4,200 monthly paid annually, for seven years from today if the opportunity cost of capital is 4%?

Answer:

Step-by-step explanation:

Well, in order to find the unit rate we simply do the following steps:

4,581 ÷ 9 = 509

So to answer the question, each week Robin earns $509.

Hope this helps! : )

Answer:

they earn 509 a week

Step-by-step explanation:4581 divided by 9

Answer:

31.7

Step-by-step explanation:

Just subtract

1. The solution to the first differential equation is given by e^2yx - ysin(xy) + y^2 + C = 0, where C is an arbitrary constant.

2. The general solution to the second differential equation is x(3x - y^2) = C, where C is a positive constant.

To solve the first-order differential equations, let's solve them one by one:

1. (e^2y - ycos(xy))dx + (2xe^2y - xcos(xy) + 2y)dy = 0

We notice that the given equation is not in standard form, so let's rearrange it:

(e^2y - ycos(xy))dx + (2xe^2y - xcos(xy))dy + 2ydy = 0

Comparing this with the standard form: P(x, y)dx + Q(x, y)dy = 0, we have:

P(x, y) = e^2y - ycos(xy)

Q(x, y) = 2xe^2y - xcos(xy) + 2y

To check if this equation is exact, we can compute the partial derivatives:

∂P/∂y = 2e^2y - xcos(xy) - sin(xy)

∂Q/∂x = 2e^2y - xcos(xy) - sin(xy)

Since ∂P/∂y = ∂Q/∂x, the equation is exact.

Now, we need to find a function f(x, y) such that ∂f/∂x = P(x, y) and ∂f/∂y = Q(x, y).

Integrating P(x, y) with respect to x, treating y as a constant:

f(x, y) = ∫(e^2y - ycos(xy))dx = e^2yx - y∫cos(xy)dx = e^2yx - ysin(xy) + g(y)

Here, g(y) is an arbitrary function of y since we treated it as a constant while integrating with respect to x.

Now, differentiate f(x, y) with respect to y to find Q(x, y):

∂f/∂y = e^2x - xcos(xy) + g'(y) = Q(x, y)

Comparing the coefficients of Q(x, y), we have:

g'(y) = 2y

Integrating g'(y) with respect to y, we get:

g(y) = y^2 + C

Therefore, f(x, y) = e^2yx - ysin(xy) + y^2 + C.

The general solution to the given differential equation is:

e^2yx - ysin(xy) + y^2 + C = 0, where C is an arbitrary constant.

2. x(yy' - 3) + y^2 = 0

Let's rearrange the equation:

xyy' + y^2 - 3x = 0

To solve this equation, we'll use the substitution u = y^2, which gives du/dx = 2yy'.

Substituting these values in the equation, we have:

x(du/dx) + u - 3x = 0

Now, let's rearrange the equation:

x du/dx = 3x - u

Dividing both sides by x(3x - u), we get:

du/(3x - u) = dx/x

To integrate both sides, we use the substitution v = 3x - u, which gives dv/dx = -du/dx.

Substituting these values, we have:

-dv/v = dx/x

Integrating both sides:

-ln|v| = ln|x| + c₁

Simplifying:

ln|v| = -ln|x| + c₁

ln|x| + ln|v| = c₁

ln

|xv| = c₁

Now, substitute back v = 3x - u:

ln|x(3x - u)| = c₁

Since v = 3x - u and u = y^2, we have:

ln|x(3x - y^2)| = c₁

Taking the exponential of both sides:

x(3x - y^2) = e^(c₁)

x(3x - y^2) = C, where C = e^(c₁) is a positive constant.

This is the general solution to the given differential equation.

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The transformation of System A into System B is:

Equation [A2]+ Equation [A 1] → Equation [B 1]"

The correct answer choice is option D

How can we transform System A into System B?

To transform System A into System B as 1 × Equation [A2] + Equation [A1]→ Equation [B1] and 1 × Equation [A2] → Equation [B2].

System A:

-3x + 4y = -23 [A1]

7x - 2y = -5 [A2]

Multiply equation [A2] by 2

14x - 4y = -10

Add the equation to equation [A1]

14x - 4y = -10

-3x + 4y = -23 [A1]

11x = -33 [B1]

Multiply equation [A2] by 1

7x - 2y = -5 ....[B2]

So therefore, it can be deduced from the step-by-step explanation above that System A is ultimately transformed into System B as 1 × Equation [A2] + Equation [A1]→ Equation [B1] and 1 × Equation [A2] → Equation [B2].

The complete image is attached.

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Answer:

Let L be the length of the rectangle and w be the width of the rectangle.

"The lenght of a rectangle is one less than twice the width" means L=2W-1

Using perimeter formula of a rectangle which is P=2(L+W) you have:

P=2(L+W)

130=2(2W-1+W)

Solve equation above to find W

130=2(3W-1)

130=6W-2

130+2=6W

132=6W

W=22

From here you find L=2W-1=2x22-1=43

Only thing left is to find area A=LxW

Descriptive statistics is a branch of statistics that deals with the summary of data using numerical and graphical methods. Descriptive statistics is used to calculate different measures of central tendency, variability, and correlation.

Central tendency is the tendency of data to cluster around a central value, which can be found using measures like mean, median, and mode. On the other hand, variability is the extent to which the data varies from the central tendency and can be calculated using measures such as variance, standard deviation, and range.An example of central tendency can be a dataset of the ages of students in a classroom. The mean, median and mode are measures of central tendency that can be used to summarize the data.

The standard deviation is the square root of the variance and represents the average distance of the data points from the mean.In summary, central tendency and variability are two important aspects of descriptive statistics used to summarize data. While central tendency measures the center of a dataset, variability measures the spread of the data. Descriptive statistics is used to provide insights into a dataset by providing a summary of the data using numerical and graphical methods.

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The definite integral does not converge. The answer above is NOT correct. The definite integral `NΑ r™/2_ 5x³ sin(4x) / (1 + x²) dx` does not converge.  

The given integral is: `NΑ r™/2_ 5x³ sin(4x) / (1 + x²) dx`

Evaluating the definite integral We can evaluate the definite integral by substituting `u = 1 + x²` and `du/dx = 2x dx`.

Rearranging, `dx = du / 2x` When `x = π/2`, `u = 1 + (π/2)² = 1 + π²/4` When `x = 0`, `u = 1 + 0² = 1`

So the integral becomes: `NΑ r™/2_ 5x³ sin(4x) / (1 + x²) dx = NΑ r™/2_ (5/2) sin(4x) du / x`

Integrating `(5/2) sin(4x)` by parts, let `u = (5/8) cos(4x)` and `dv = sin(4x) dx`.

Then, `du/dx = - (10/8) sin(4x) = - (5/4) sin(4x)` and `v = - (1/4) cos(4x)`

The integral becomes: `NΑ r™/2_ (5/2) sin(4x) du / x = NΑ r™/2_ - (5/8) cos(4x) cos(4x) / x dx + NΑ r™/2_ (5/4) sin(4x) cos(4x) / x dx`

Evaluating limits,`[NΑ r™/2_ - (5/8) cos²(4x) / x dx] from 1 to 1 + π²/4`

We know that `cos(0) = 1` and `cos(π) = -1`.`[NΑ r™/2_ - (5/8) cos²(4x) / x dx]` evaluated at `x = π/2`:`= [NΑ r™/2_ - (5/8) cos²(4(π/2)) / (π/2)] - [NΑ r™/2_ - (5/8) cos²(0) / 0]`

The second term is undefined as the denominator is zero.

So we shall find the left limit of the function as it approaches zero. `lim_(x->0^-) [- (5/8) cos²(4x) / x] = lim_(x->0^-) [- (5/8) / x] = - ∞`

Thus, the second term is equal to `-∞`.

So, `[NΑ r™/2_ - (5/8) cos²(4(π/2)) / (π/2)] - [NΑ r™/2_ - (5/8) cos²(0) / 0]` can be written as:

`[NΑ r™/2_ - (5/8) / (π/2)] - (- ∞)``= [NΑ r™/2_ - (10/π)] + ∞`

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Answer:

$217.50

Step-by-step explanation:

$135 + (11*$7.50) = $217.50

Answer:

B

Step-by-step explanation:

26 students = 15 students + 11 students

135 for 1st 15, 7.50 for rest

135 + 7.50(11) = 217.50

Therefore, B

The distance that she runs from one corner of the field to another is given as follows:

147.1 yards.

The Pythagorean Theorem states that for a right triangle, the length of the hypotenuse squared is equals to the sum of the squared lengths of the sides of the triangle.

The distance in this problem is the diagonal of a rectangle, which is the hypotenuse of a right triangle in which the length and the width are the sides, hence:

d² = 85² + 120²

d = sqrt(85² + 120²)

d = 147.1 yards.

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Explanation:

We have two similar triangles here, so we can set up the proportion below to solve for x

5200/(5200+6500) = 5600/x

5200/11700 = 5600/x

5200x = 11700*5600 .... cross multiply

5200x = 65,520,000

x = (65,520,000)/(5200)

x = 12,600 which shows why the answer is choice D

side note: 12,600 ft = 2.386 miles approximately

The plane’s distance from point A when it reaches point C is 12600 feet.

A triangle is a 2-D figure with three sides and three angles.

The sum of the angles is 180 degrees.

We can have an obtuse triangle, an acute triangle, or a right triangle.

We have,

From the figure,

The two triangles are similar.

This means,

The ratio of its corresponding sides is equal.

So,

(5200 + 6500) / 5200 = (5600 + BC) / 5600

Solve for BC.

(5200 + 6500) / 5200 = (5600 + BC) / 5600

(11700 / 5200) x 5600 = 5600 + BC

117/52 x 5600 = 5600 + BC

BC = 12600 - 5600

BC = 7000

Now,

The plane’s distance from point A when it reaches point C.

= AB + BC

= 5600 + 7000

= 12600 feet

Thus,

The plane’s distance from point A when it reaches point C is 12600 feet.

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Answer:

Step-by-step explanation:

NO because all the angles are not congruent.

Answer:

Step-by-step explanation:

Ms Pace:   \(\frac{6}{24} \times 100=\frac{1}{4} \times 100=25\%\)

Ms Lee:     \(\frac{14}{28} \times 100=\frac{1}{2} \times 100=50\%\)

Difference \(=50-25=25\)

Answer:

Josh has played 12 MORE matches then her. Not 12 TIMES as many matches. The correct answer would be he haas played 12 more matches then her or 3 times as many matches as her.

Step-by-step explanation:

The predicted selling price for an observed selling price of 233.1 and square footage of 1385 is $235.96 (thousands of dollars). The error is 1.24 and the squared error is 1.5376.

Selling price is the amount of money that a seller charges for a product or service. It is usually determined by factors such as the cost of materials, labor costs, overhead, and the desired profit margin. In some cases, the selling price may also be affected by factors such as the product's demand, competitive pricing, and market conditions.

The equation used to predict the selling price is Predicted Selling Price (Thousands of Dollars)=23.11 +0.15 Square Footage.
For the given data, we have
Observed Selling Price = 233.1
Square Footage = 1385

Therefore,
Predicted Selling Price (Thousands of Dollars) = 23.11 + 0.15*1385
= 23.11 + 207.75
= 230.86.

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Answer:

Is there anything else to this question cause it's confusing and I would help you but if there is more information

Step-by-step explanation:

Pick any two pairs of equations from the system. Eliminate the same variable from each pair using the Addition/Subtraction method. Solve the system of the two new equations using the Addition/Subtraction method. Substitute the solution back into one of the original equations and solve for the third variable.

In order to solve systems of equations in three variables, known as three-by-three systems, the primary goal is to eliminate one variable at a time to achieve back-substitution. A solution to a system of three equations in three variables (x,y,z)  is called an ordered triple.

To find a solution, we can perform the following operations:

Graphically, the ordered triple defines the point that is the intersection of three planes in space. You can visualize such an intersection by imagining any corner in a rectangular room. A corner is defined by three planes: two adjoining walls and the floor (or ceiling). Any point where two walls and the floor meet represents the intersection of three planes.

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Answer:

4

Step-by-step explanation:

Slope=rise/run

there is a increase of 4 in y for every increase of 1 in x

The least common denominator (LCD) is the smallest number that can be a common denominator for a set of fractions. It's also known as the lowest common denominator.

The denominators of two fractions are given as:

Factoring the first expression:

It's clear there is no common factor between both denominators. Such expressions and numbers are called to be coprime.

For example, 9 and 25 are coprime, but they are not prime numbers individually.

When two numbers or expressions are coprime, the LCD is just their product.

Therefore the Least Common Denominator is:

The z-score for this kernel is -2.3. The z-score of the data can be calculated by the formula expressed.

A z-Score is a statistical measurement of a score's relationship to the mean in a group of scores. A Z-score of 0 means the score is the same as the mean.

* Lets revise how to find the z-score

- The rule the z-score is z = (x - μ)/σ , where

# x is the score

# μ is the mean

# σ is the standard deviation

- The popping-times of the kernels in a certain brand of microwave

popcorn are  normally distributed

- The mean is 150 seconds

- The standard deviation is 10 seconds

- The first kernel pops is 127 seconds

- We want to find the z-score for this kernel

∵ z-score = (x - μ)/σ

∵ x = 127

∵ μ = 150

∵ σ = 10

∴ z-score = (127 - 150)/10 = -23/10 = -2.3

* The z-score for this kernel is -2.3

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Answer:

c) gives each member of the population a known chance to be selected

Step-by-step explanation:

A sample is said to be  a probability sample when each and every unit of the population would have the known chance or the probability i.e. more than zero when selected in the sample

So according to the given options, it is the sample where each member have the known chance to be selected

Therefore the option c is correct

The probability that the sample mean would be less than 19,448 miles is 0.9972

Given,

The mean mileage of a tire, μ = 20,138

The standard deviation, σ = \(\sqrt{10,304,100}\) = 3210

Sample size, n = 171

We have to find the probability that the sample mean would be less than 19,448 miles.

That is,

P(X < 19448)

Since the sample size in this instance is greater than 30, we can utilise the central limit theorem and the z score formula provided by:

z = (X - μ) / (σ/√n)

The following would be the sample mean's distribution:

X ≈ N (μ, σ/√n)

In this situation, the z score was found to be:

z = (19448 - 20138) / (3210/√171)

z = -690 / 245.48

z = 2.81

Using the conventional table, we get the following:

P(z < 2.81) = 0.9972

That is,

The probability that the sample mean would be less than 19,448 miles is 0.9972

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The following statements are true:

1. During the first 10 days the professor's standard deviation was more than 0.

4. It is impossible to tell anything about the professor's standard deviation for the first 10 days.

6. Considering all 11 days, the professor's standard deviation was higher than the standard deviation of the first 10 days.

The standard deviation is a measure of how spread out a set of data is. In this case, the data is the prices of the value meals that the professor orders. If all 10 of the first meals cost $5.39, then the standard deviation would be 0.

This is because there is no variation in the data. However, on the 11th day, the professor orders a meal that costs $4.38. This adds variation to the data, which means that the standard deviation will be greater than 0.

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The general solution to the equation +rtan 0 = 6 sec 0 tan 0 de is r = 6/cos 0.

This means that r can take any value that satisfies this condition, as long as there are no lost solutions.

To obtain the general solution, we start by simplifying the equation using trigonometric identities. We know that sec 0 = 1/cos 0, and we can substitute this into the equation to get:

r tan 0 = 6/cos 0 tan 0

Dividing both sides by tan 0, we get:

r = 6/cos 0

This is the general solution to the equation, as r can take any value that satisfies this condition. However, it is important to note that there may be lost solutions, which occur when the simplification process involves dividing by a variable that may be equal to zero for certain values of 0. Therefore, it is important to check for such values of 0 that may result in lost solutions.

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The decimal inch scale is based on tenths and hundredths of an inch. This scale is a common unit of measurement used for industrial, mechanical, and construction purposes.

The formula for a decimal inch is 1 inch = 0.1 decimal inch. This means that every 0.1 decimal inch is equal to 1 inch. To calculate a decimal inch, simply divide the number of inches by 10. The decimal inch scale is based on tenths and hundredths of an inch. This scale is a common unit of measurement used for industrial, mechanical, and construction purposes. For example, if you have a measurement of 6 inches, the decimal inch measurement would be 0.6. You can also convert decimal inches to inches by multiplying the decimal number by 10. For example, if you have a measurement of 0.6 decimal inches, the inch measurement would be 6 inches.

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Answer:

x=8

Step-by-step explanation:

7x-3=7x+5

Subtract 7 on both sides

x-3=5

Add 3 on both sides

x=8

The difference between the depth at 3 minute ago and the depth now is 12 feet.

What is difference in mathematics?

Difference in mathematics is produced by one of the most important mathematical operations, which is obtained by deleting two numbers. It displays the difference between two numbers. The objective of finding the difference in math is to ascertain how many numbers there are between the two specified numbers. In terms of notation, there is a negative difference (-).

The depth 3 minute ago was -3 feet,

The depth now is -15 feet.

subtracting the depth now from the depth 3 minute ago,

-3 -(-15)

= 12 feet

Therefore, the difference is 12 feet.

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Answer:

working hypothesis.

Step-by-step explanation:

Hypothesis is a technique in mathematics used to identify between two events. The event is tested for hypothesis using the null hypothesis and an alternative hypothesis is set to compare the results. If there are more than one hypothesis then there is working hypothesis technique used to identify the conclusion.