Edna gasta la mitad de su salario en el pago de renta, utilidades y


comida. Si į de esos gastos se va en renta, ¿qué fracción de su salario


se va en renta? Halla su salario mensual considerando que su renta


mensual es de $150. 0.

Mean of x for sample size is [28.34, 32.66]

The closest option is (c) 30.5.

The mean of the sample means will be the same as the population mean, which is 30.5.

The standard error of the mean, which is the standard deviation of the sampling distribution of the mean, can be calculated as:

SE = σ / sqrt(n)

where σ is the population standard deviation and n is the sample size.

SE = 3.5 / sqrt(10) = 1.108

The mean of x for sample size of 10 can be calculated as:

x = μ ± z*(SE)

where μ is the population mean, z is the z-score corresponding to the desired level of confidence (we'll assume 95% here), and SE is the standard error of the mean.

Using a z-score of 1.96 for a 95% confidence interval, we have:

x = 30.5 ± 1.96*(1.108) = [28.34, 32.66]

Therefore, the closest option is (c) 30.5.

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Answer:

C. y= -2x-8 is the answer

Answer:

y = -2x - 4

Step-by-step explanation:

y = mx + b(we substitute the "x" and "y" points into this general formula)

-6 = -2 (1) + b ( multiply "-2" by "1" and obtain the answer itself "-2")

(+ 2) -6 = -2 + b (+ 2)( then we add "2" on both side so the right side will be left with only "b". and "-6 + 2 = -4")

-4 = b( we substitute this answer in the general formula we've written )

y= -2x -4

The complete solution is:

∫4\(sin^{-1}(2x) dx = sin^{-1}(2x)\) x 4x + √(1 - (2x)²) + C, where C is the constant of integration.

We have,

\(u = sin^{-1)}(2x)\)

dv = 4 dx

Taking the derivative of u, we get:

du/dx = 1 / √(1 - (2x)²)

Integrating dv, we get:

v = ∫4 dx = 4x

Now, applying the integration by parts formula:

∫4 \(sin^{-1}(2x) dx\) = uv - ∫vdu

Plugging in the values, we have:

∫4 \(sin^{-})(2x) dx = sin^{-1}(2x) \times\) 4x - ∫(4x / √(1 - (2x)²)) dx

At this point, we need to evaluate the integral on the right side.

Let's perform a substitution to simplify it:

Let u = 1 - (2x)²

Differentiating u with respect to x, we get:

du/dx = -4(2x) = -8x

Solving for dx, we have:

dx = -du / (8x)

Substituting these values, the integral becomes:

∫(4x / √(1 - (2x)²)) dx = ∫(-4x / (8x x √u)) (-du / (8x))

Simplifying, we get:

∫(4x / √(1 - (2x)²)) dx = ∫(-1 / (2√u)) du

= -∫(1 / (2√u)) du

= -√u + C

Substituting back the value of u, we have:

∫(4x / √(1 - (2x)²)) dx = -√(1 - (2x)²) + C

Therefore,

The complete solution is:

∫4\(sin^{-1}(2x) dx = sin^{-1}(2x)\) x 4x + √(1 - (2x)²) + C, where C is the constant of integration.

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The complete question:

a) Evaluate the integral ∫4 sin^(-1)(2x) dx using integration by parts.

Answer:

  686

Step-by-step explanation:

Given two natural numbers with a difference of 196 have a ratio of 9:5, you want to know their sum.

In terms of ratio units, the difference of the two numbers is 9 -5 = 4. The sum of the two numbers is 9 +5 = 14. This means the sum is 14/4 times the difference, so is ...

  14/4 × 196 = 686

The sum of the two numbers is 686.

__

Additional comment

The larger number is 9/4×196 = 441, the smaller number is 5/4×196 = 245.

Answer: A.

Step-by-step explanation: About 3 tsp of vanilla is used for every 1/3 cup of sugar.

Answer:

Step-by-step explanation:

Let x = the number of teaspoons of vanilla needed

sugar/vanilla: 2/3 = 1

6 x Cross multiply

(2/3)x = 6

x = 6(3/2)

x = 9 teaspoons.

Answer: \((z+6)(z+14)\)

Answer:

D

Step-by-step explanation:

y_2 - y_1 / x_2 - x _1

4 - 2 / 3 - (-1) = 2/4 = 1/2

y +4 = 1/2 (x + 3) distributive property

y + 4 = 1/2x + 1.5

y= 1/2x - 5/2 subtraction (you subtract 4 from both sides) (-5/2 = -2.5)

therefore your equation is y = 1/2x - 5/2

hope this helps :)

While measuring angles, it is essential to be careful and exact. Make careful to properly measure the angle and double-check your measurements for correctness.

When two lines intersect at a location, vertical angles are generated. They are always equal to each other.

While measuring angles, it is necessary to have a personal attitude of precision and accuracy in mind. This implies you should take your measures with care and attention, and strive to be as precise as possible. It is also necessary to be patient since measuring angles might take some time. It is also critical to be open to new ideas and prepared to double-check your measurements if required.

Thus, you may guarantee that your angle measurements are as precise as possible by observing these personal attitudes.

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Since random sampling is representative of the entire group, conclusions about the population can be drawn from it. Since random assignment reduces variability, conclusions about cause and effect are possible.

Random sampling is a sampling method where each sample has an equal chance of being chosen. It is the goal of a randomly chosen sample to fairly represent the entire population. A straightforward random sample might be 25 names chosen at random from a pool of 250 employees. The sample in this case is random, and the population in this case is the entire pool of 250 employees because each employee has an equal chance of being chosen.

Cause and effect can only be proven with absolute certainty through an experimental study utilizing random assignment. In a study with random assignment, for example, the experimental group receives the medication while the control group does not in order to see if the drug cures the patient.

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The maximum price Matthew can pay for the car, considering his repayment capability and the loan terms, is approximately $126,318.29.

To determine the maximum price Matthew can pay for the car, we need to consider his repayment capability and the terms of the loan.

Matthew can make annual repayments of $35,000. Since the loan term is six years, the total amount he can repay over the loan period is $35,000 multiplied by six, which equals $210,000.

To calculate the maximum price of the car, we need to account for the interest rate of 9.25%. The interest rate represents the cost of borrowing and is applied to the loan amount.

Let's assume the loan amount is denoted by P.

The formula to calculate the future value of a loan with interest is:

FV = P(1 + r)^n

Where:

FV = Future value (total amount repaid)

P = Principal amount (maximum price of the car)

r = Interest rate per period (9.25% or 0.0925)

n = Number of periods (six years)

Since Matthew can repay a total of $210,000 over the loan period, we can set up the equation:

$210,000 = P(1 + 0.0925)^6

Now we can solve for P:

P = $210,000 / (1 + 0.0925)^6

Evaluating this expression, we find:

P ≈ $126,318.29

Therefore, the maximum price Matthew can pay for the car, considering his repayment capability and the loan terms, is approximately $126,318.29.

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using the fifth partial sum of the exponential series, the approximation for e^(-2.5) is approximately 1.649 (rounded to three decimal places).

To approximate the value of e^(-2.5) using the fifth partial sum of the exponential series, we can use the formula:

e^x = 1 + x + (x^2 / 2!) + (x^3 / 3!) + (x^4 / 4!) + ... + (x^n / n!)

In this case, we have x = -2.5. Let's calculate the fifth partial sum:

e^(-2.5) ≈ 1 + (-2.5) + (-2.5^2 / 2!) + (-2.5^3 / 3!) + (-2.5^4 / 4!)

Using a calculator or performing the calculations step by step:

e^(-2.5) ≈ 1 + (-2.5) + (6.25 / 2) + (-15.625 / 6) + (39.0625 / 24)

e^(-2.5) ≈ 1 - 2.5 + 3.125 - 2.60417 + 1.6276

e^(-2.5) ≈ 1.64893

Therefore, using the fifth partial sum of the exponential series, the approximation for e^(-2.5) is approximately 1.649 (rounded to three decimal places).

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The measure of tangent angle QIA is 180 degrees.

m/QIA = 180 degrees.

If IA is the diameter of the circle, it means that angle QIA is a right angle (90 degrees). Since QN is tangent to the circle at point I, it is perpendicular to the radius IA at that point.

Therefore, in triangle QIA, we have a right angle at Q and a right angle at I. This implies that angle IQA is also 90 degrees.

In a right triangle, the sum of the angles is 180 degrees. Since angles QIA and IQA are both right angles, the remaining angle in the triangle, angle QAI, must be:

180 degrees - 90 degrees - 90 degrees = 0 degrees

Angle QAI is a degenerate angle, which means it has a measure of 0 degrees. Therefore, the measure of tangent angle QIA is 180 degrees.

To summarize, m/QIA = 180 degrees.

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Approximately 4.5 gallons of paint would be needed for one coat on the entire exterior of the barn, including the roof.

To determine the number of gallons of paint needed for one coat on the entire exterior of the barn, including the roof, we need to calculate the total surface area that needs to be painted.

Let's consider the dimensions of the barn:

Length: 30 feet

Width: 20 feet

Height: 10 feet

First, let's calculate the surface area of the four walls. Since a rectangular barn has opposite walls with equal dimensions, we can calculate the area of one wall and multiply it by 4:

Wall area = Length * Height

= 30 feet * 10 feet

= 300 square feet

Now, multiply the wall area by 4 to account for all four walls:

Total wall area = Wall area * 4

= 300 square feet * 4

= 1200 square feet

Next, let's calculate the surface area of the roof, which is a rectangle:

Roof area = Length * Width

= 30 feet * 20 feet

= 600 square feet

Finally, we calculate the total surface area that needs to be painted by adding the wall area and the roof area:

Total surface area = Total wall area + Roof area

= 1200 square feet + 600 square feet

= 1800 square feet

Given that one gallon of paint covers 400 square feet, we can divide the total surface area by 400 to determine the approximate number of gallons needed for one coat:

Number of gallons = Total surface area / Coverage per gallon

= 1800 square feet / 400 square feet

= 4.5 gallons

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The Lower Control Limit (LCL) of a 3.6 control chart is 44.1.

To construct an appropriate statistical process control chart for the average time taken in the execution of a set of computerized protocols, data was collected for 30 samples each of size 40, and the mean of all sample means was found to be 50. The standard deviation of the sample-means was known to be 4.5 seconds.

A control chart is a statistical tool used to differentiate between common-cause variation and assignable-cause variation in a process. Control charts are designed to detect when process performance is stable, indicating that the process is under control. When the process is in a stable state, decision-makers can make informed judgments and decisions on whether or not to change the process.

For a sample size of 40, the LCL formula for the x-bar chart is: LCL = x-bar-bar - 3.6 * σ/√n

Where: x-bar-bar is the mean of the means

σ is the standard deviation of the mean

n is the sample size

Putting the values, we have: LCL = 50 - 3.6 * 4.5/√40

LCL = 50 - 2.138

LCL = 47.862 or 44.1 (approximated to one decimal place)

Therefore, the LCL of a 3.6 control chart is 44.1.

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Answer: \(\Large\boxed{W=-10}\)

Step-by-step explanation:

Given equation

\((\dfrac{W}{-5} )-4=-2\)

Add 4 on both sides

\((\dfrac{W}{-5} )-4+4=-2+4\)

\((\dfrac{W}{-5} )=2\)

Multiply -5 on both sides

\((\dfrac{W}{-5} )\times (-5)=2\times(-5)\)

\(\Large\boxed{W=-10}\)

Hope this helps!! :)

Please let me know if you have any questions

Answer:

18

Step-by-step explanation:

delta math

Answer: \(a=\sqrt{60}\)

Step-by-step explanation:

To solve for a, we want to use Pythagorean Theorem as provided int eh problem. a and 2 are the legs while 8 is the hypotenuse.

\(a^2+2^2=8^2\)           [exponent]

\(a^2+4=64\)            [subtract both sides by 4]

\(a^2=60\)                  [square root both sides]

\(a=\sqrt{60}\)

Now we know that \(a=\sqrt{60}\).

Answer:

X = 23

triangle angles sum = 180

67 + 49 + (3x-5) = 180

3x + 111 = 180

3x = 69

x = 23

Answer:

B

Step-by-step explanation:

We need to solve for    here.

Equation 1: 2x-3y=3

Equation 2: 5x-4y=4

Solving for   in Equation 1 and substituting that into Equation 2 gives us:

2x-3 /3=y

Substituting this expression into Equation 2 and solving for   gives us:

x=0 is the solution. Answer choice B is correct.

Hope This Helps

The area of metal needed to make the tool is r² times the sum of 1/2π and the square root of 3.

To determine the area of metal needed to make the tool, we need to find the areas of the semicircle and the isosceles triangle and then add them together.

The area of a semicircle with radius r is:

A(semi-circle) = 1/2πr²

Since the tool consists of a semicircle, we can use the diameter of the semicircle to represent the width of the isosceles triangle.

Let the height of the isosceles triangle be h and the base be b.

Since the triangle is isosceles, we can divide it in half and treat it as a right triangle.

Using the Pythagorean :

h² + (b/2)² = r²

Since the diameter of the semicircle is the same as the base of the isosceles triangle, we have:

b = 2r

Substituting this into the equation above, we get:

h² + r² = 4r²

h² = 3r²

h = √(3)r

The area of an isosceles triangle with base b and height h is:

A(triangle) = 1/2bh

Substituting b = 2r and h = √(3)r, we get:

A(triangle) = 1/2(2r)(√(3)r)

A(triangle) = √(3)r²

Adding the area of the semicircle and the isosceles triangle, we get:

A(tool) = A(semi-circle) + A(triangle)

A(tool) = 1/2πr² + √(3)r²

A(tool) = r²(1/2π + √(3))

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Answer:

82^o

Step-by-step explanation:

74 + 24 = 98

180 - 98 = 82^o

Hope it helps!

Answer:

Step-by-step explanation:

Answer:

yes because 42+82 is greater than 96

it will just about fit through the door

hope this helps! :)

Project management services refer to the professional assistance and support provided to organizations to plan, execute, and manage projects effectively. These services may include a range of activities, such as project planning, scheduling, budgeting, risk management, stakeholder management, quality assurance, and project reporting.

Project management services can be provided by both internal and external professionals. Internal project managers are employees of the organization who are responsible for managing projects within the company.

External project management services can be hired from consulting firms, specialized project management companies, or freelance professionals who work independently.

Project management services can help ensure that projects are delivered on time, within budget, and to the required quality standards.

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Explain project Management Services

To find the linear approximation of the function g(x) = 3/(1 + x) at a = 0, we can use the concept of linearization. The linear approximation l(x) is given by l(x) = g(a) + g'(a)(x - a), where g'(a) represents the derivative of g(x) evaluated at a.

The linear approximation, also known as the tangent line approximation or linearization, is an approximation of a function using a linear function. It is based on the concept that for small values of x, a function can be well-approximated by its tangent line at a specific point.

To find the linear approximation of g(x) = 3/(1 + x) at a = 0, we start by evaluating g(0) and g'(0). When x = 0, the function g(x) becomes g(0) = 3/(1 + 0) = 3.

Next, we need to find g'(x) and evaluate it at a = 0. To do this, we differentiate g(x) with respect to x. Using the quotient rule, we get g'(x) = (-3)/(1 + x)^2. When x = 0, g'(x) becomes g'(0) = -3/(1 + 0)^2 = -3.

Now that we have g(0) = 3 and g'(0) = -3, we can use the linear approximation formula l(x) = g(a) + g'(a)(x - a). Plugging in the values, we get l(x) = 3 - 3x.

Therefore, the linear approximation of g(x) = 3/(1 + x) at a = 0 is l(x) = 3 - 3x.

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Answer:

24 pounds of garlic

Step-by-step explanation:

if she spends 3$ per pound, you divide 72 by 3. the answer to that is 24, so if she spends 72 dollars on only garlic, she can buy 24 pounds.

Jennifer can buy 24 pounds of garlic

we see here, that if she spends 3$ per pound, you divide 72 by 3.

The answer would be 24, so if she spends 72 dollars on only garlic,

she can buy 24 pounds.

1: any of various units of mass and weight specifically: a unit now in general use among English-speaking peoples equal to 16 avoirdupois ounces or 7000 grains or 0.4536 kilogram — see Weights and Measures Table

2: the basic monetary unit of the United Kingdom.

In maths, a division is a process of splitting a specific amount into equal parts. For example, we can divide a group of 20 members into 4 groups of 5 members each or 5 groups of 4 members each

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Answer:c

Step-by-step explanation:

Answer:

c

Step-by-step explanation:

The system of two equations can be represented as y = 10x + 40 and

y = 12x + 28.

The system's equation can be graphed, the graph will have two straight lines, and the intersection point(s) of those lines will be the system's solution if a system of equations only has two linear equations with two variables.

Because there are only three possible methods to graph two straight lines in the plane, there are only three matching forms of solution for a given system of equations.

Let, 'x' represent the number of days and 'y' represent the total cost.

Plan A can be represented as y = 10x + 40.

And, PlanB be can be represented as y = 12x + 28.

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Random means in this context is that in the long​ run, a fair die will produce roughly equal amounts of the numbers 1 through 6 when rolled. But for each roll each value 1 through 6 is equally likely.

What is conditional probability?

Conditional probability is a term used in probability theory to describe the likelihood that one event will follow another given the occurrence of another event.

Given, Rolling a fair​ six-sided die is supposed to randomly generate the numbers 1 through 6.

In a fair dice the chance of getting each number is same

Random means here is that in the long​ run, a fair die will produce roughly equal amounts of the numbers 1 through 6 when rolled. But for each roll each value 1 through 6 is equally likely.

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