Kevin divides 3 pieces of paper into fourths.
How many fourths does he have? *

Answer:

Domain:  

(

−

∞

,

∞

)

,

{

x

|

x

∈

R

}

(-∞,∞),{x|x∈ℝ}

Range:  

[

−

4

,

∞

)

,

{

y

|

y

≥

−

4

}

[-4,∞),{y|y≥-4}

Step-by-step explanation:

The value of y in the statement is 45

From the question, we have the following parameters that can be used in our computation:

3 1/3 of y is equivalent to 60

Express the fraction as an improper fraction

So, we have

4/3 of y is equivalent to 60

Express as an equation

4/3y = 60

Divide both sides by 4/3

y = 45

Hence, the value of y is 45

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When we say that a simple linear regression model is statistically useful, it means that the model effectively describes the relationship between two variables, using terms like: Independent variable (X), Dependent variable (Y), Linear relationship, Coefficient of determination\((R^2)\), Significance level (α).

Independent variable (X):

The variable that influences or predicts the dependent variable.

Dependent variable (Y):

The variable that is influenced or predicted by the independent variable.
Linear relationship:

A straight-line relationship between the independent and dependent variables, represented by the equation

Y = a + bX.
Coefficient of determination\((R^2)\):

A measure of how well the regression line fits the data, ranging from 0 to 1

higher\(R^2\) indicates a better fit.
Significance level (α):

The threshold below which we reject the null hypothesis (i.e., no relationship between X and Y).

Typically, α is set at 0.05 or 0.01.
In summary, a simple linear regression model is statistically useful if it accurately represents the linear relationship between an independent and dependent variable, with a high\(R^2\)value and a significance level below the chosen threshold.

This allows us to make informed predictions and draw conclusions about the relationship between the two variables.

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1. You can solve a system of equations using graphs when there are no decimals or fractions in the equations. This can allow you to almost precisely plot a graph, and determine the values of the variables.

2. You can use the substitution method when one (or both) of the equations is already solved for one of the variables.

3. Elimination is best used when the equations are written in the form Ax + B = C, and also when the coefficients are values not equal to 1.

Answer:

x - 15 = - 20

Step-by-step explanation:

x - 15 = - 20

Add 15 to each side:

x - 15 + 15 = - 20 + 15

x = - 5

Answer: The conversion of a raw score to a scaled LSAT score is a complex process that involves several steps. The Law School Admission Test (LSAT) is a standardized test used by law schools in the United States and Canada to assess applicants' critical thinking, reading comprehension, and analytical reasoning skills.

Here's a general overview of the process of converting a raw score to a scaled LSAT score:

- Raw score calculation: The raw score is the number of questions answered correctly on the LSAT. There is no penalty for incorrect answers, so it is in your best interest to answer every question, even if you are unsure of the correct answer.

- Equating: The LSAT is equated to account for differences in difficulty between test forms. This means that the raw scores of test-takers are adjusted so that the scaled scores are consistent across different test forms.

- Scaling: The raw scores are then scaled to a range of 120 to 180, with a median score of 150 and a standard deviation of 10. This scaling process allows for meaningful comparisons between test-takers, regardless of the difficulty of the specific test form they took.

It is important to note that the LSAT score is not based solely on the number of questions answered correctly, but also on the difficulty of the questions. This means that a high raw score on a particularly difficult test form may result in a lower scaled score than a lower raw score on a less difficult test form.

Step-by-step explanation:

Answer:

Tax= $4.176 = $4.18

Step-by-step explanation:

Giving the following information:

She adds up the prices listed on the menu for everything they ordered and gets a subtotal for $48.

Tax rate= 8.7% = 0.087

To calculate the Tax, we need to use the following formula:

Tax= total spend*tax rate

Tax= 48*0.087

Tax= $4.176 = $4.18

The function that is likely the best fit is given as follows:

Logarithmic regression.

The function of a best fit is a logarithmic regression, as the function starts with a fast increasing rate until it approaches the vertical asymptote.

As for the other options, we have that:

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Answer: √58 or about 7.6

Step-by-step explanation:

use the distance formula: √((x1 - x2)² + (y1 - y2)²)

√((3 - 0)² + (7 - 0)²)

√((3)² + (7)²)

√(9 + 49)

√58

hope this helps!

Answer:

about 7.6

Step-by-step explanation:

right on edge 2021

Answer:

1/2

Step-by-step explanation:

Answer:

4

Step-by-step explanation:

To solve for x in the equation:

√(2x - 7) = 1

We can start by isolating the square root by squaring both sides of the equation:

(√(2x - 7))^2 = 1^2

2x - 7 = 1

Next, we can isolate the variable by adding 7 to both sides of the equation:

2x = 8

Finally, we can solve for x by dividing both sides by 2:

x = 4

Therefore, the solution to the equation √(2x - 7) = 1 is x = 4.

Answer:

ABCD has congruent diagonals.

ABCD is a rhombus.

ABCD has four congruent angles

Step-by-step explanation:

The following statements would be considered true

1. The quadrilateral ABCD could have the congruent diagonals as the diagonals are perpendicular

2. ABCD would be treated as the rhombus as it is a  regular quadrilateral

3. ANd, It Have the four congruent angles that means the four angles be 90 degrees

The other statements would be false.

Answer:

A,B,E

Step-by-step explanation:

Edge 2021

To determine the number of hours it took to service your mower when the charge was $90, we need to subtract the fixed service call fee ($50) from the total charge and then divide the remaining amount by the hourly rate of $80.

Let's denote the number of hours it took to service the mower as 'h'. The total charge for the service is given as $90.

To find the number of hours, we first subtract the fixed service call fee of $50 from the total charge: $90 - $50 = $40.

Next, we divide the remaining amount ($40) by the hourly rate of $80: $40 / $80 = 0.5 hours.

Therefore, it took 0.5 hours (or 30 minutes) to service your mower when the charge was $90.

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Answer:

(-86)

Step-by-step explanation:

\( \frac{a}{2} (b + c) {(d - e)}^{2} \\ \\ \frac{ - 10}{2} (10 + 9) {(2 - 5)}^{2} \\ - 50 - 45 {( - 3)}^{2} \\ - 50 - 45 (- 3)( - 3) \\ - 50 - 45 + 9 \\ - 95 + 9 = ( - 86)\)

Segment CP is tangent to circle C at point B.

How to prove that the line is tangent to a circle?

Draw circle C with center at point A and radius AD = CD = DE.

Draw point P outside the circle C.

Draw segment AP and extend it to intersect the circle at point B.

Draw segment BD.

Draw segment CP.

Note that triangle BCD is isosceles, since CD = BD. Therefore, angle BDC = angle CBD.

Since angle BDC is an inscribed angle that intercepts arc BC, and angle CBD is an angle that intercepts the same arc, then angle BDC = angle CBD = 1/2(arc BC).

Since CD = DE, then angle CED = angle CDE. Therefore, angle DCE = 1/2(arc BC).

Since angles BDC and DCE are equal, then angles BDC and CBD are also equal, and triangle BPC is isosceles. Therefore, segment BP = segment PC.

Since BP = PC, then segment CP is perpendicular to segment BD, by the Converse of the Perpendicular Bisector Theorem.

Therefore, segment CP is tangent to circle C at point B.

Hence, the proof is complete.

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Answer:

1) The convers of the conditional statement is;

If the ratio of lefties to righties is 1:8,  then a class has 3 left-handed people and 24 right-handed people

2) The convers of the conditional statement is true

Step-by-step explanation:

1) The given statement is presented as follows;

"If a class has 3 left-handed people and 24 right-handed people, then the ratio of lefties to righties is 1:8"

The hypothesis = A class has 3 left-handed people and 24 right-handed people = p

The conclusion = The ratio of lefties to righties is 1:8 = q

We have;

If p, then q which is p → q

The converse statement = If q, then p which is q → p

Then the converse of the conditional statement can be written as follows;

If the ratio of lefties to righties is 1:8,  then a class has 3 left-handed people and 24 right-handed people

2) Given that the ratio of 3:24 = 1:8, we have that both the hypothesis and the conclusion are true, therefore, the converse of the conditional statement is true.

The volume V of solid S is e - 1 cubic unit.

What is Volume?

Volume refers to the measure of three-dimensional space occupied by an object or a region. It quantifies the amount of space enclosed by the boundaries of an object or contained within a given region. In mathematical terms, volume is often calculated by integrating the cross-sectional areas of the object or region along a particular axis. Volume is typically expressed in cubic units, such as cubic meters (m^3) or cubic centimeters (cm^3). It is an essential concept in geometry, physics, engineering, and other scientific fields where the measurement of three-dimensional space is involved.

To find the volume of solid S, we need to integrate the areas of the cross sections perpendicular to the x-axis along the interval \([e, \infty).\)

The area of each square cross-section is equal to the square of the side length, which in this case is \(y = \sqrt{\ln(x)}.\)

Therefore, the volume V of solid S can be calculated as:

\(V = \int_{e}^{\infty} (\sqrt{\ln(x)})^2 dx\)

To evaluate this integral, we can simplify the expression:

\(V = \int_{e}^{\infty} \ln(x) dx\)

Using integration by parts, we let \(u = \ln(x)\)and dv = dx:

\(du = \frac{1}{x} dx\\v = x\)

Applying the integration by parts formula:

\(V = [uv] - \int v du= [x \ln(x)] - \int x \left(\frac{1}{x}\right) dx= x \ln(x) - \int dx= x \ln(x) - x + C\)

Evaluating the definite integral:

\(V = [x \ln(x) - x]_{e}^{\infty}= (\infty \cdot \ln(\infty) - \infty) - (e \cdot \ln(e) - e)= \infty - 0 - (1 - e)= e - 1\)

Therefore, the volume V of solid S is e - 1 cubic unit.

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Answer:

\(f(x)=x^3\)

Step-by-step explanation:

The parent function denotes the simplest function (free from any horizontal/vertical stretch/compression) that represents a family of functions. In this case the term 1/4 indicates a horizontal stretch and should be removed to find the parent function of \(f(x)=x^3\). From here we're in simplest form, since \(y=x\) or others represent a completely different family of functions and cannot be obtained from horizontal/vertical stretches/compressions.

The three-month moving average is calculated by adding up the demand for the past three months and dividing the sum by three.

To calculate the forecast for month four, we need to find the average of the demand over the past three months: 700, 750, and 900.

Step 1: Add up the demand for the past three months:
700 + 750 + 900 = 2350

Step 2: Divide the sum by three:
2350 / 3 = 783.33 (rounded to two decimal places)

Therefore, the forecast for month four, based on the three-month moving average, is approximately 783.33.

Keep in mind that the three-month moving average is a method used to smooth out fluctuations in data and provide a trend. It is important to note that this forecast may not accurately capture sudden changes or seasonal variations in demand.

Answer:

A

Step-by-step explanation:

The value of the division (6×1011)÷(3×1015) is the negative 4 power 2×10.

When 'a' is divided by 'b', then the result we get from the division is the part of 'a' that each one of 'b' items will get.

Division can be interpreted as an equally dividing the number that is being divided in total x parts, where x is the number of parts the given number is divided.

Thus,  \(a \div b\) = a divided in b equal parts.

WE have been given that (6×10^11)÷(3×10^15) .

Simplify;

(6×10^11)÷(3×10^15)

To solve the exponent first;

10^11 - 15 = 10^-4

Now we get;

(6 )÷(3×10^-4)

2 ×10^4 = 2 ×10 ×10×10×10

= 20,000

Hence, the value of the division (6×1011)÷(3×1015) is the negative 4 power 2×10.

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Answer:

rfgcc ft v crytrcvrcvhtfvyrfftv ffg

Step-by-step explanation:

tgfgghcg gn v v

The mean per capita income in thousands of dollars with 99% confidence interval and sample size of 1417 is equal to CI = (23.7, 24.3).

Construct the 99% confidence interval for the mean per capita income, use the formula,

CI = x ± Z× (σ / √n)

where

x is the sample mean,

σ is the population standard deviation,

n is the sample size,

Z is the z-score corresponding to the desired level of confidence.

Using attached z-score table,

For a 99% confidence interval, the corresponding z-score is 2.58

Substituting the given values, we get,

⇒CI = 24 ± 2.58 × (5.1 / √1417)

Simplifying the expression inside the parentheses, we get,

⇒CI = 24 ± 0.349

⇒CI = (23.7, 24.3)

Rounding to one decimal place, the confidence interval is (23.7, 24.3) thousands of dollars.

Therefore, the 99% confidence interval for the mean per capita income is CI = (23.7, 24.3).

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Answer:

Nothing too simplified in this. That's in its most simplified form.

Step-by-step explanation:

The solutions to the systems of linear equations by elimination method are listed below:

In this problem we find four cases of two linear equations with two variables. There are different methods to solve the system, herein we must use elimination method to find the solution to each system of linear equations, which takes advantage of adding / subtracting linear equations and multiplying linear equations by scalars in order to get every solution set.

Case 1

x - y = 1

x + y = 3

First, add the two equations:

(x - y) + (x + y) = 1 + 3

2 · x = 4

x = 2

Second, determine the variable y:

y = 3 - x

y = 3 - 2

y = 1

Point (x, y) = (2, 1) is a solution of the system of equations.

Case 2

x + y = 1

x + y = 11

Subtract the second equation from the first one:

(x + y) - (x + y) = 1 - 11

0 = - 10 (CRASH!)

The system of linear equations has no solution.

Case 3

x + 4 · y = 11

x - 6 · y = 11

First, subtract the second equation from the first equation:

(x + 4 · y) - (x - 6 · y) = 11 - 11

10 · y = 0

y = 0

Second, determine the variable y:

x = 11 + 6 · y

x = 11 + 6 · 0

x = 11 + 0

x = 11

Point (x, y) = (0, 11) is a solution of the system of equations.

Case 4

- 3 · x + 3 · y = 6

x + 3 · y = 18

First, subtract the second equation from the first equation:

(- 3 · x + 3 · y) - (x + 3 · y) = 6 - 18

- 4 · x = - 12

x = 3

Second, determine the variable y:

3 · y = 18 - x

3 · y = 18 - 3

3 · y = 15

y = 5

Point (x, y) = (3, 5) is a solution of the system of equations.

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Answer:

28pi square units

Step-by-step explanation:

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Answer:

20π cubic units

Step-by-step explanation:

The volume of a cylinder is the area of the base x height.

The area of a circle is π r^2 squared.

So the area of the base is π ⋅ 2^2 = 4π

The height of the cylinder is 5, so the volume is 4π ⋅ 5 = 20π cubic units

No, a fraction is not a term. The distributive property can be applied to fractions because it is a general mathematical principle.

A fraction is not considered a term in the traditional sense. It is a mathematical expression that represents division. However, the distributive property can still be applied to fractions because the property itself is a fundamental rule of arithmetic that extends beyond specific types of expressions.

The distributive property states that for any real numbers a, b, and c:

a × (b + c) = (a × b) + (a × c).

When working with fractions, we can apply the distributive property as follows:

Let's consider the expression: a × (b/c).

We can rewrite this as: (a × b)/c.

Now, let's distribute the 'a' to 'b' and 'c':

(a × b)/c = (a/c) × b.

In this step, we applied the distributive property to the fraction (a/c) by treating it as a whole.

Although fractions represent division, we can still use the distributive property because it is a general mathematical principle that allows for manipulating expressions involving addition, subtraction, multiplication, and division.

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