what is 2\5-1\3

Adding&Subtracting

Answers

Answer 1

Answer:

Subracting = 1/15 .  Adding = 11/15

Step-by-step explanation:

Subtracting

2/5 - 1/3

The denominators must be the same, so convert both to 15

Multiply the denominator up to 15, along with using the same multiplier for the numerator

6/15 - 5/15 = 1/15

Adding

2/5 - 1/3

6/15 + 5/15 = 11/15


Related Questions

In the simple linear regression model, the y-intercept represents the: a. change in y per unit change in x. b. change in x per unit change in y. value of y when x value ofx when y 0 n the simple linear regression model, the slope represents the a. value of y when x - (0 b. average change in y per unit change in x. c. value of x when v -0 d. average change in x per unit change in y. 8. In regression analysis, the residuals represent the: a. difference between the actual y values and their predicted values. b. difference between the actual x values and their predicted values. c. square root of the slope of the regression line. d. change in y per unit change in x.

Answers

The correct answer for the third question is a. The residuals represent the difference between the actual y values and their predicted values.

a. The y-intercept in the simple linear regression model represents the value of y when x is zero. It is the point on the y-axis where the regression line intersects.

b. The slope in the simple linear regression model represents the average change in y per unit change in x. It indicates how much y changes on average for every one-unit increase in x.

Therefore, the correct answer for the first question is c. The y-intercept represents the value of y when x is zero.

For the second question, the correct answer is b. The slope represents the average change in y per unit change in x.

In regression analysis, the residuals represent the difference between the actual y values and their predicted values. They measure the deviation of each data point from the regression line. The residuals are calculated as the observed y value minus the predicted y value for each corresponding x value. They provide information about the accuracy of the regression model in predicting the dependent variable.Therefore, the correct answer for the third question is a. The residuals represent the difference between the actual y values and their predicted values.

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Bradley is planning to publish a cookbook. He consults with the author, and they decide to include 150 recipes, with one on each page. They also decide to divide the book into three sections: vegetarian dishes, meat dishes, and desserts.


Find statistics to determine the ratio of vegetarians to non-vegetarians in your country. Use this to determine what the ratios of vegetarian and meat recipes to all recipes should be in Bradley’s cookbook.

Answers

The vegetarian ratio would presumably be: 5 million / (5 million + 50 million) = 0.100 which is equivalent to 10%.

To calculate the proportion of vegetarians to non-vegetarians in Bradley's country, one needs to first assess the amount of vegetarians and non-vegetarians living there.

This can be accomplished through reliance on surveys, census data, or further research methods. By dividing the number of vegetarians in comparison to the total number of both vegetarians and non-vegetarians, one can generate a ratio that reveals this information.

For example, let's say Bradley's country contains 5 million vegetarians among a general population of 50 million people. The vegetarian ratio would presumably be: 5 million / (5 million + 50 million) = 0.100 which is equivalent to 10%.

Similarly, as Bradley attempts to distinguish appropriate vegetable, meat, and dessert recipes for his cookbook - 10%, 18%, and 42% respectively - he can utilize this same formula. As an example it could be assumed that if there are 150 recipes in total then 15 would incorporate vegetables as part of their contents - 10% out of 150 recipes - while 30% or 27 recipes would idealized around containing meat components as well as 70% or 63 desserts.

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Drag and drop the constant of proportionality into the box to match the table. If the table is not proportional, drag and drop "not proportional" into the box.


x 0 1 2 3

y 0 2 3 4

A.2/3

B.1/2

C.0

D.not proportional

Answers

The answer is is freaking A bro

Answer:

Hello! The Answer is not proportional. Hope this helps!

Step-by-step explanation:

Solve a/-6 + 8 = 12. a =

Answers

Answer:

a = -24

Step-by-step explanation:

\(\frac{a}{-6}+8 = 12 \\\\\frac{a}{-6} = 12 - 8 \\\\\frac{a}{-6}= 4\\\\a = 4*(-6)\\\\a = -24\)

Answer:

-24

Step-by-step explanation:

a/-6 + 8 = 12

a/-6 = 12 - 8

a/-6 = 4

cross multiply,

a = -6 × 4

a = -24

hope you understood

What is the product of −2 1/4 and −4 1/2?

Answers

10 1/8 is the answer to your problem

a reasonable abstraction for a car includes: group of answer choices an engine number of miles driven driving car color

Answers

Answer:

Of the given options, "an engine" is the most reasonable abstraction for a car.

An engine is a fundamental component of a car that powers its movement, and it is present in almost all cars. The number of miles driven and the driving car color are characteristics of a specific car rather than abstractions of a car itself. For example, a car can still be considered a car even if it has not been driven any miles yet or if it has no color at all.

Therefore, an engine is a more reasonable abstraction for a car as it captures an essential feature of a car that is present in all cars.

The solution is, D. Driving, a reasonable abstraction for a car includes. Driving is an action or behavior associated with a car, as it involves operating or using the car to travel from one place to another. It is an essential aspect of the car's purpose and function.

Here, we have,

we know that,

An engine is a machine designed to convert fuel into mechanical energy that can be used to power other machines or devices. In the context of automobiles, an engine is the primary source of power that drives the vehicle. It typically operates by burning fuel in a combustion chamber to generate high-pressure gases that drive a piston, which in turn rotates a crankshaft that ultimately powers the car's wheels.

Car color and number of miles driven are characteristics or properties of a car, while an engine is a component that helps to power the car. Driving, on the other hand, is an action or behavior associated with a car, as it refers to the act of operating or using the car to travel from one place to another.

Therefore, driving is a reasonable abstraction for a car, as it captures an essential aspect of the car's purpose and function.

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The mapping of DEFG to D'E'F'G' is shown. 2 parallelograms have identical side lengths and angle measures. The second parallelogram is a reflection of the first. Which statements are true regarding the transformation? Check all that apply. EF corresponds to E'F'. FG corresponds to G'D'. ∠EDG Is-congruent-to ∠E'D'G' ∠DEF Is-congruent-to ∠D'E'F' The transformation is not isometric. The transformation is a rigid transformation.

Answers

Answer:

(A)EF corresponds to E'F'

(C)∠EDG Is-congruent-to ∠E'D'G'

(D)∠DEF Is-congruent-to ∠D'E'F'

(F)The transformation is a rigid transformation.

Step-by-step explanation:

Given:

Parallelogram DEFG is mapped to D'E'F'G'DEFG and D'E'F'G' have identical side lengths and angle measures.

The following applies:

EF corresponds to E'F'∠EDG Is-congruent-to ∠E'D'G'∠DEF Is-congruent-to ∠D'E'F'

Now, a rigid transformation is a transformation of the plane that preserves length. Since the two parallelograms have identical side lengths:

The transformation is a rigid transformation.

Note that a reflection is an isometric transformation. Therefore the statement "The transformation is not isometric" is INCORRECT.

FG and GD are adjacent sides, therefore they may not necessarily be congruent. Thus FG does not corresponds to G'D'

Answer:

1346

Step-by-step explanation:

Provide the missing reasons for the proof.


Given. < C

Prove ABC ~ DBE



PLEASE HELP !!!

Answers

To prove that triangle ABC is similar to triangle DBE, we need to establish the required conditions for similarity.

In order to prove that triangle ABC is similar to triangle DBE, we must show that their corresponding angles are congruent and their corresponding sides are proportional.

To begin the proof, we are given that angle C is congruent to angle D. This establishes one pair of corresponding angles.

Next, we need to show that the other two pairs of angles are congruent. Since angle C is congruent to angle D, and angles A and B are supplementary angles (meaning they add up to 180 degrees), we can conclude that angle B is congruent to angle E. This establishes the second pair of corresponding angles.

Now that we have shown all three pairs of corresponding angles to be congruent, we move on to proving the proportional sides.

Let's consider side AB and side DE. To show that they are proportional, we need to prove that their lengths are in the same ratio. In other words, we need to show that AB/DE = BC/BE.

To establish this ratio, we can use the concept of angle bisector theorem. If we draw the angle bisector of angle C and angle D, the resulting line segments will divide sides AB and DE into proportional lengths. This can be proven using the properties of angles and triangles.

By establishing that all three pairs of angles are congruent and that the corresponding sides are proportional, we have proven that triangle ABC is similar to triangle DBE.

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Will mark brainliest !!!!!!!!!!!!!! Answer correctly please !!!!!!!!!!!!!!!!!!!!!

Will mark brainliest !!!!!!!!!!!!!! Answer correctly please !!!!!!!!!!!!!!!!!!!!!

Answers

Answer:

x = 39

Step-by-step explanation:

The square on the angle means that angle is 90 degrees, also known as a right angle. A triangle is 180 degrees so all the sides added together is 180:

51 + 90 + x = 180

141 + x = 180

x = 39

abc is a right triangle with ab=ac. bisector of <a meets bc at d. prove that bc = 2ad.​

Answers

Answer:

Let ac=ab=5

With this, bc= 5√2

Step-by-step explanation:

So to find ad, Let ad be x

5√2=(2)(x)

(5√2/2)= x

This proves that bc=2ad

abc is a right triangle with ab=ac. bisector of &lt;a meets bc at d. prove that bc = 2ad.

B 2 -3 -2 -1 Use the Pythagorean theorem to find the distance between points A and B on each graph. round answers to the nearest tenth.​

B 2 -3 -2 -1 Use the Pythagorean theorem to find the distance between points A and B on each graph. round

Answers

hypotenuse= 9²

so the distance between the 2 points is 81

4²+5²=c²

factor out the square which gives (4+5)²=c²

which makes c=9

answer=81

15 first-year algebra students are learning how to solve two-step equations. the teacher notices that the students are not using precise mathematical language. which two instructional strategies should the teacher employ to encourage students to use precise mathematical language when completing this task? choose 2 answers

Answers

Solving an equation in algebra - mathematics will BOMDAS rule. Multiplication, division, addition, and subtraction are performed before.

However, in order to simplify things, if there are any exponential or logarithmic components, solve them first before applying BOMDAS to reduce them to a single solvable term. This is required by the rules.

So the list goes as

1. Exponents

2. Roots

3. Multiplication

4. Division

5. additional

6. Subtraction

However. Using a regular or scientific calculator will generate a lot of debate. A scientific calculator will adhere to the principles, while a typical calculator will evaluate from left to right or precisely the operator used first.

Using a scientific calculator, 5+2x3=11 instead of the normal one's 5+2x3=21.

Furthermore, the preferred behavior norm for division and multiplication is different.

Thus, people's difficulty with mathematics is not unjustified. The choice of how you want to approach it is ultimately up to you.

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evaluate and simplify the expression when x=3 and y =5 2y + 3(x-y) + x^2=

Answers

Hey hey …4+x^2 and or 2

Taylor has 16 crayons, 12 markers, 8 pencils, and 4 pens in his locker. What is the ratio of markers to total items in Taylor’s locker?

Answers

Answer:

3:7

Step-by-step explanation:

12:28

6:14

3:7

brainliest please

Consider the function where xy U = for (x, y) = (0,0), x² + y² and v= = 0 for all x and y. X 2.1 Show that all partial derivatives of u and v exist at (x, y) = (0, 0), and thus satisfy the Cauchy- Riemann equations. (5) 2.2 Show that is not continuous at (0,0), and hence f is not differentiable at (0, 0). U (5) 2.3 Investigate whether f is analytic or not. (5) 2.4 Investigate whether f has a harmonic complex conjugate or not. (5) 2.5 Show that the function f (x, y) = x² - y² —y is harmonic and determine its harmonic conjugate. - f = u + iv,

Answers

2.1 To show that all partial derivatives of u and v exist at (x, y) = (0, 0) and satisfy the Cauchy-Riemann equations, we need to calculate the partial derivatives of u and v and check their existence and the Cauchy-Riemann conditions.

The function is given as u(x, y) = xy and v(x, y) = x² + y².

Partial derivatives of u:

∂u/∂x = y

∂u/∂y = x

Partial derivatives of v:

∂v/∂x = 2x

∂v/∂y = 2y

All partial derivatives exist at (x, y) = (0, 0) since they are simple functions and do not have any singularities.

Now, let's check if the Cauchy-Riemann equations are satisfied:

∂u/∂x = ∂v/∂y

y = 2y

This equation holds true for all values of y, including y = 0.

∂u/∂y = -∂v/∂x

x = -2x

This equation also holds true for all values of x, including x = 0.

Therefore, all partial derivatives of u and v exist at (x, y) = (0, 0), and they satisfy the Cauchy-Riemann equations.

2.2 To show that f is not continuous at (0, 0) and hence not differentiable at (0, 0), we can examine the behavior of f as (x, y) approaches (0, 0).

The function f(x, y) = u(x, y) + iv(x, y) = xy + i(x² + y²)

As (x, y) approaches (0, 0), both u(x, y) = xy and v(x, y) = x² + y² approach 0. However, f(x, y) = xy + i(x² + y²) approaches 0 + i(0) = i(0) = 0i = 0, which is a different value.

Therefore, f is not continuous at (0, 0), and hence it is not differentiable at (0, 0).

2.3 To investigate whether f is analytic or not, we need to check if it is differentiable in a neighborhood around every point.

Since we have already shown that f is not differentiable at (0, 0), it implies that f is not analytic because differentiability is a necessary condition for analyticity.

2.4 To investigate whether f has a harmonic complex conjugate or not, we need to check if u and v satisfy the Laplace's equation (∇²u = 0 and ∇²v = 0) and if they satisfy the Cauchy-Riemann equations.

The Laplace's equation is not satisfied by u(x, y) = xy because ∇²u = ∂²u/∂x² + ∂²u/∂y² = 0 + 0 ≠ 0.

Therefore, f does not have a harmonic complex conjugate.

2.5 To show that the function f(x, y) = x² - y² - iy is harmonic, we need to demonstrate that it satisfies the Laplace's equation (∇²u = 0 and ∇²v = 0).

For u(x, y) = x² - y², we have ∇²u = ∂²u/∂x² + ∂²u/∂y² = 2 - 2 = 0.

For v(x, y) = -y, we have ∇²v = ∂²v/∂x² + ∂²v/∂y² = 0 + 0 = 0.

Both u and v satisfy the Laplace's equation, indicating that f(x, y) = x² - y² - iy is a harmonic function.

To determine the harmonic conjugate of f, we can integrate the partial derivative of v with respect to x and y, and obtain the imaginary part of the function:

h(x, y) = ∫ (∂v/∂y) dy = ∫ 0 dy = C(y)

Where C(y) is an arbitrary function of y.

The harmonic conjugate of f is given by:

g(x, y) = u(x, y) + ih(x, y) = x² - y² + iC(y)

Therefore, the harmonic conjugate of f(x, y) = x² - y² - iy is g(x, y) = x² - y² + iC(y), where C(y) is an arbitrary function of y.

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To show that all partial derivatives of u and v exist at (x, y) = (0, 0) and satisfy the Cauchy-Riemann equations, we need to calculate the partial derivatives of u and v and check their existence and the Cauchy-Riemann conditions.

The function is given as u(x, y) = xy and v(x, y) = x² + y².

Partial derivatives of u:

∂u/∂x = y

∂u/∂y = x

Partial derivatives of v:

∂v/∂x = 2x

∂v/∂y = 2y

All partial derivatives exist at (x, y) = (0, 0) since they are simple functions and do not have any singularities.

Now, let's check if the Cauchy-Riemann equations are satisfied:

∂u/∂x = ∂v/∂y

y = 2y

This equation holds true for all values of y, including y = 0.

∂u/∂y = -∂v/∂x

x = -2x

This equation also holds true for all values of x, including x = 0.

Therefore, all partial derivatives of u and v exist at (x, y) = (0, 0), and they satisfy the Cauchy-Riemann equations.

2.2 To show that f is not continuous at (0, 0) and hence not differentiable at (0, 0), we can examine the behavior of f as (x, y) approaches (0, 0).

The function f(x, y) = u(x, y) + iv(x, y) = xy + i(x² + y²)

As (x, y) approaches (0, 0), both u(x, y) = xy and v(x, y) = x² + y² approach 0. However, f(x, y) = xy + i(x² + y²) approaches 0 + i(0) = i(0) = 0i = 0, which is a different value.

Therefore, f is not continuous at (0, 0), and hence it is not differentiable at (0, 0).

2.3 To investigate whether f is analytic or not, we need to check if it is differentiable in a neighborhood around every point.

Since we have already shown that f is not differentiable at (0, 0), it implies that f is not analytic because differentiability is a necessary condition for analyticity.

2.4 To investigate whether f has a harmonic complex conjugate or not, we need to check if u and v satisfy the Laplace's equation (∇²u = 0 and ∇²v = 0) and if they satisfy the Cauchy-Riemann equations.

The Laplace's equation is not satisfied by u(x, y) = xy because ∇²u = ∂²u/∂x² + ∂²u/∂y² = 0 + 0 ≠ 0.

Therefore, f does not have a harmonic complex conjugate.

2.5 To show that the function f(x, y) = x² - y² - iy is harmonic, we need to demonstrate that it satisfies the Laplace's equation (∇²u = 0 and ∇²v = 0).

For u(x, y) = x² - y², we have ∇²u = ∂²u/∂x² + ∂²u/∂y² = 2 - 2 = 0.

For v(x, y) = -y, we have ∇²v = ∂²v/∂x² + ∂²v/∂y² = 0 + 0 = 0.

Both u and v satisfy the Laplace's equation, indicating that f(x, y) = x² - y² - iy is a harmonic function.

To determine the harmonic conjugate of f, we can integrate the partial derivative of v with respect to x and y, and obtain the imaginary part of the function:

h(x, y) = ∫ (∂v/∂y) dy = ∫ 0 dy = C(y)

Where C(y) is an arbitrary function of y.

The harmonic conjugate of f is given by:

g(x, y) = u(x, y) + ih(x, y) = x² - y² + iC(y)

Therefore, the harmonic conjugate of f(x, y) = x² - y² - iy is g(x, y) = x² - y² + iC(y), where C(y) is an arbitrary function of y.

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Help me on this please

Help me on this please

Answers

Answer:

a) 0.6

b) 0.73

c) 7/8

Step-by-step explanation:

a) 0.6 repeating

b) 0.73

c) 7/8  (0.875)

What is the area of the figure? Answer in decimal form to the nearest hundredth.
5.5 m
5.5 m
7
7 1 2
m
m2

What is the area of the figure? Answer in decimal form to the nearest hundredth.5.5 m5.5 m77 1 2mm2

Answers

Answer:

1588.125m^2

Step-by-step explanation:

Answer:

your answer should be 35.75 if I'm not wrong :)

Step-by-step explanation:

sorry if this is incorrect

c.1. interactions test: run an interactions test. insert the statistix printout of the results of this test. (3 points)

Answers

We conclude that the model is significant that is test hypothesis are H₀: β₁ = β₂ = β₃ =0 and H₁ : at least one β₁ ≠ 0.

Given that,

A test of interactions should be conducted. the statistix printout of these test's outcomes.

We know that,

Take

Full model is  E(y) = β₀ + β₁x₁ + β₂x₁₂ + β₃x₂+ β₄x₁ x₂ + β₅x₁₂ x₂

Reduced model is F(y) = β₀ + β₁x₁ + β₂x₂ + β₃x₁ x₂

Test hypothesis are

H₀: β₁ = β₂ = β₃ =0

H₁ : at least one β₁ ≠ 0

Test statistic F = 83.05

p-value = 0.000

Since p-value < alpha hence reject H₀

Therefore, we conclude that the model is significant that is test hypothesis are H₀: β₁ = β₂ = β₃ =0 and H₁ : at least one β₁ ≠ 0.

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Complete Question

Interactions Test: run an interactions test. Insert the STATISTIX Printout of the results of this test (4 points). Х Car Data Set.xlsx Linear ...

a ______ is a descriptiion of the approach that is used to obtain samples from a population prior to an data collection activity.
A.
population frame
B.
sampling weight
C.
sampling plan
D.
probability interval

Answers

The correct answer is option C. A sampling plan refers to a detailed strategy for obtaining a sample from a population for the purpose of data collection.

It describes the precise procedures needed to choose the sample, determine the members of the sample, and gather the data.

The sampling strategy should take into account the type of sampling design, sample size, sampling process, and the methods to be employed for data collecting.

The strategy for implementing sampling should be outlined in the plan, along with instructions on how to make sure the sample is representative of the population, how to prevent bias in the sampling process, and how to make sure the data gathered is of high quality.

A good sampling plan should provide a clear and consistent method for gathering data and be founded on basic statistical concepts.

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It took Simon 33 minutes to run 5.5 miles. Did he run faster or slower than 1 mile every 5 minutes?

Please help!! <3

Answers

Should be slower, let me know if you need more of an explanation.
I jjhujnbyun vhnjoihh

What are the Actual dimensions of the house(in ft)

What are the Actual dimensions of the house(in ft)

Answers

The house's real measurements are 18 feet by 20 feet.

What do we mean by dimensions?

In everyday speech, a dimension is a measurement of an object's length, width, and height, such as a box.

The idea of dimension in mathematics is an expansion of the concepts of one-dimensional lines, two-dimensional planes, and three-dimensional space.

Examples of dimensions include width, depth, and height.

One dimension is that of a line, two dimensions are those of a square, and three dimensions are those of a cube. (3D).

So, scaling is the process of changing a figure's size to produce a picture.

Considering that a scale of 6 cm equals 12 ft.

Hence:

9 cm = 9 cm * (12 ft. per 6 cm) = 18 feet

10 cm = 10 cm * (12 ft. per 6 cm) = 20 feet

Therefore, the house's real measurements are 18 feet by 20 feet.

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Correct question:

A scale drawing of a house shows 9cm x10cm. If 6cm=12 ft, what are the actual dimensions?

On March 1, a company purchased 10 footballs for $5 each. On March 11, the company purchased an additional 10 footballs for $7 each. On March 20, it sold 9 footballs for $20 each. If the company is using the averaging method, its ending inventory on March 20 would be?

Answers

The company's ending inventory on March 20, using the averaging method, would be $75.

Based on the information given, the company purchased a total of 20 footballs - 10 for $5 each and 10 for $7 each. The total cost of these purchases would be (10 * $5) + (10 * $7) = $50 + $70 = $120.

Since the company sold 9 footballs on March 20, the cost of the sold footballs would be 9 * $5 (as per the averaging method). Therefore, the cost of the sold footballs is $45.

To calculate the ending inventory, we subtract the cost of the sold footballs from the total cost of the purchases. Thus, the ending inventory would be $120 - $45 = $75.

In conclusion, the company's ending inventory on March 20, using the averaging method, would be $75.

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Sketch the region enclosed by the given curves. decide whether to integrate with respect to x or y. draw a typical approximating rectangle. y = ex, y = x2 − 1, x = −1, x = 1

Answers

\(e-\frac{1}{e} +\frac{4}{3} 0r 3.687\)  is the value when the equation is to integrate with respect to x or y

we integrate with respect to x

Area = \(\int\limits^b_a{(f(x)-g(x))} \, dx\)

       = \(\int\limits^1_-1{e^{x}-x^{2} +1 } \, dx\)

        =\(e^{x} -\frac{x^{3} }{3} +x\)

   substitute 1 and -1 in place of x

  = \((e-\frac{1}{3}+1-\frac{1}{e} -\frac{1}{3} +1)\)

  = \(e-\frac{1}{e} + \frac{4}{3} or 3.6837\)

The diagram was attached in the given below.

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Sketch the region enclosed by the given curves. decide whether to integrate with respect to x or y. draw

Can someone help me out?

Can someone help me out?

Answers

502.7 is the answer!

If it takes a planet 5 years to orbit the Sun, how long (in years) will it take the planet to go all the
way around our sky once?

Answers

Answer:

230 million years

Step-by-step explanation:

230 million years because of the way our galaxy is set up.

Which of the following could be an example of a function with a domain
(-∞0,00) and a range (-∞,4)? Check all that apply.
A. V = -(0.25)* - 4
-
□ B. V = − (0.25)*+4
c. V = (3)* +4
□ D. V = − (3)* — 4
-

Which of the following could be an example of a function with a domain(-0,00) and a range (-,4)? Check

Answers

The correct options that could be an example of a function with a domain (-∞0,00) and a range (-∞,4) are given below.Option A. V = -(0.25)x - 4 Option B. V = − (0.25)x+4

A function can be defined as a special relation where each input has exactly one output. The set of values that a function takes as input is known as the domain of the function. The set of all output values that are obtained by evaluating a function is known as the range of the function.

From the given options, only option A and option B are the functions that satisfy the condition.Both of the options are linear equations and graph of linear equation is always a straight line. By solving both of the given options, we will get the range as (-∞, 4) and domain as (-∞, 0).Hence, the correct options that could be an example of a function with a domain (-∞0,00) and a range (-∞,4) are option A and option B.

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Complete the reasons for the proof.
given:

m 3 = m 4

Prove 1 and 2 are supplementary

Answers

Answer:

m3 and m4 are supplementary

Step-by-step explanation:

since m3 and m4 are supplementary, we can state that m3 and m4 are supplementary
see full explanation in the vid below

Complete the reasons for the proof.given:m 3 = m 4Prove 1 and 2 are supplementary

Make
x
the subject of the formula
x/y + z = w

Answers

Answer:

x = y(w-z)

Step-by-step explanation:

x/y + z = w

subtract 'z' from each side to get:

x/y = w-z

multiply each side by 'y' to get:

x = y(w-z)

An analyst has been asked to prepare an estimate of the proportion of time that a turret lathe operator spends adjusting the machine, with a 90 percent confidence level. Based on previous experience, the analyst believes the proportion will be approximately 30 percent. a. If the analyst uses a sample size of 400 observations, what is the maximum possible error that will be associated with the estimate? b. What sample size would the analyst need in order to have the maximum error be no more than ±5 percent?
p
^

=.30z=1.65 for 90 percent confidence

Answers

The maximum possible error that will be associated with the estimate when the analyst uses a sample size of 400 observations is 3.78 percent and the sample size that the analyst would need in order to have the maximum error be no more than ±5 percent is 297 observations.

The maximum possible error that will be associated with the estimate when the analyst uses a sample size of 400 observations is 3.78 percent.

Error formula for proportion:

Maximum possible error = z * √(p^ * (1-p^)/n)

Where z = 1.65 for 90 percent confidencep^

              = 0.3n

              = 400

Substitute the given values into the formula:

Maximum possible error = 1.65 * √(0.3 * (1-0.3)/400)

Maximum possible error = 1.65 * √(0.3 * 0.7/400)

Maximum possible error = 1.65 * √0.0021

Maximum possible error = 1.65 * 0.0458

Maximum possible error = 0.0756 or 7.56% (rounded to two decimal places)

b. The sample size that the analyst would need in order to have the maximum error be no more than ±5 percent can be calculated as follows:

Error formula for proportion:

Maximum possible error = z * √(p^ * (1-p^)/n)

Where z = 1.65 for 90 percent confidencep^ = 0.3n = ?

Maximum possible error = 0.05

Substitute the given values into the formula:

0.05 = 1.65 * √(0.3 * (1-0.3)/n)0.05/1.65

        = √(0.3 * (1-0.3)/n)0.0303

        = 0.3 * (1-0.3)/nn

        = 0.3 * (1-0.3)/(0.0303)n

        = 296.95 or 297 (rounded up to the nearest whole number)

Therefore, the sample size that the analyst would need in order to have the maximum error be no more than ±5 percent is 297 observations.

Learn more about error from the given link;

https://brainly.com/question/29499800

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Which list contains three multiples of 6?
A.
12, 16, 24
B.
18, 24, 36
C.
16, 26, 36
D.
60, 66, 69

Answers

Answer:

Step-by-step explanation:

Since 18,24,36 all three are divided by 6

So option B is the correct option

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