A CD usually sells for $15.00. If the CD is 10% off, and sales tax is 6%, what is the total price of the CD, including tax?

When the coefficient on an independent variable becomes statistically significant after controlling for something, it means that the variable's effect on the dependent variable is considered significant and reliable, even when accounting for the influence of the controlled variable.

Controlling for something typically involves adding additional independent variables to a statistical model to examine their individual effects on the dependent variable while holding other variables constant. By doing so, we can assess the unique contribution of each variable and determine if the coefficient on the initially non-significant variable becomes significant when accounting for other factors.

If the coefficient on an independent variable becomes statistically significant after controlling for another variable, it suggests that the initially non-significant variable has an impact on the dependent variable that was previously masked or confounded by the presence of the controlled variable. This highlights the importance of considering multiple factors simultaneously to obtain a more accurate understanding of the relationship between variables.

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Answer:

33

Step-by-step explanation:

2x+3x+20-5=180

5x+15=180

5x=180-15

5x=165

165/5=33

Answer:

0.1

Step-by-step explanation:

Just take 24/24 which is 1 and move the decimal one place to the left because there is an extra 0 on the denominator

When we are factoring a quadratic function, we are trying to reverse the following equation

Now, comparing the right-hand side of the above equation and the one given in the problem we see that

This means the question simplifies to "what are the two numbers that if I add them I get -2 and if I multiply them I get -15? "

Well, If we set a = -5 and b = 3, then

Hence, our expression factors to

Answer:

I believe it would be 3 reflection followed by translation.

Step-by-step explanation:

Answer:

the awnser is b

Step-by-step explanation:its b because it x2

If the p-value is .11 and the significance level is .05, we conclude that there is not enough evidence to reject the null hypothesis at the 5% significance level.

If your p-value is 0.11 and the significance level is 0.05, you conclude that there is insufficient evidence to reject the null hypothesis. Since the p-value is greater than the significance level, you cannot determine a statistically significant difference or relationship.

In other words, we cannot conclude that there is a significant difference between the groups being compared.

However, it is possible that there is a small effect or difference that we are unable to detect with our sample size and statistical test.

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Answer:

Step-by-step explanation:

Since it's a right angled triangle we can use trigonometric ratios to find the value of x

To find the value of x we can use either sine or cosine

\( \sin(30) = \frac{5}{x} \\ x \sin(30) = 5 \\ x = \frac{5}{ \sin(30) } \\ x = \frac{5}{0.5} \\ \\ \\ \boxed{x = 10}\)

\( \cos(60) = \frac{5}{x} \\ x \cos(60) = 5 \\ x = \frac{5}{ \cos(60) } \\ x = \frac{5}{0.5} \\ \\ \\ \boxed{x = 10}\)

Hope this helps you

An infinite two-dimensional figure is represented by option B, a plane.

What are two-dimensional figures?

Two-dimensional figures are shapes with two dimensions: length and width.

They are commonly called flat shapes. When they are drawn on paper, they are two-dimensional shapes.

A two-dimensional figure is classified as a polygon if it has a closed shape with straight lines.

They may have any number of sides, such as a triangle, square, pentagon, or hexagon.

However, a plane is a flat surface that extends in all directions infinitely without ending. It is also called an infinite two-dimensional figure.A line is the shortest distance between two points, so it is not an infinite two-dimensional figure.

On the other hand, a segment is a line that has a beginning and an end, making it a finite one-dimensional figure.

A point is a location that has no size or shape, making it a zero-dimensional figure.

As a result, the only option that represents an infinite two-dimensional figure is a plane.

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Answer:

I hope that help

Step-by-step explanation:

Any point on a two-dimensional graph can be represented by two ... For example, the point (2, 3) is two units to the right of the y-axis and three units ... and (x2, y2), you can define the exponential function that passes through these points by substituting them in the equation y = abx and solving for a and b.

Step-by-step explanation:

It looks like you have provided the recursive formula for a sequence, with the initial condition of A(1) = 5/3.

To find the values of the sequence, we can use the recursion formula, which tells us that each term in the sequence is equal to the previous term multiplied by x-9. We can start by finding A(2), which will be:

A(2) = A(1) x (x-9)

A(2) = (5/3) x (x-9)

We can continue this process to find the next terms in the sequence. We can express A(3) in terms of A(2), and then A(4) in terms of A(3), and so on. Here is the general expression for A(n):

A(n) = (5/3) x (x-9)^{n-1}

So, given any value of x, we can use this formula to find the nth term in the sequence.

For example, if x=2, we can find the first few terms of the sequence:

A(1) = 5/3

A(2) = (5/3) x (2-9) = -15

A(3) = (5/3) x (2-9)^2 = 135/4

A(4) = (5/3) x (2-9)^3 = -6075/8

And so on.

Answer:

Step-by-step explanation:

7.500 (rounded to 4 decimals) sum of the numbers on the balls.

Suppose we select two distinct balls

Then we have the following possibilities of selecting two balls

(2,2), (2,2) ............, i.e. 2 ways to get a sum of 4...............(2+2 = 4 and 2+2 = 4)    

(2,5), (2,5), (5,2), (5,2), i.e. 4 ways to get a sum of 7...............(5+2 = 7 and 2+5 = 7)    

(2,6), (2,6), (2,6), (2,6), i.e. 4 ways to get a sum of 8...............(2+6 = 8 and 6+2 = 8)    

(6,5), (5,6) , i.e. 2 ways to get a sum of 11...............(5+6 = 11 and 6+5 = 11)    

total number of possible outcomes =  2(for a sum of 4) + 4(for a sum of 7) + 4(for a sum of 8) + 2 (for a sum of 11)

= 2 + 4 + 4+2

= 12

So, P(getting a sum of 4) = (number of ways to get a sum of 4)/total number = 2/12

similarly,

P(getting a sum of 7) = (number of ways to get a sum of 7)/total number = 4/12

P(getting a sum of 8) = (number of ways to get a sum of 8)/total number = 4/12

P(getting a sum of 11) = (number of ways to get a sum of 11)/total number = 2/12

We know that expected value E[x] = sum of all individual sum values by their respective probability

= 4*(2/12) +7*(4/12) +8*(4/12) +11*(2/12)

= 0.6667 + 2.3333 + 2.6667 + 1.8333

= 7.500 (rounded to 4 decimals)

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Answer:

Step-by-step explanation:

Answer: 44.6cm³

The formula is \(\frac{4}{3} \pi r^3\).

Since the formula had π (pi) pi is 3.14.

The radius is the line inside the sphere.

That being said, the radius is 2.2, so the line is 2.2 long.

Now, let's solve.

4/3 × 3.14 = 4.186 → 4.19

4.19 × 2.2³ = 44.6

Hence, 44.6 is the answer.

The surface area of the cylinder in terms of π is 15.98π in².

What is surface area ?

Surface area is the measure of the total area that the surface of a three-dimensional object covers. In other words, it is the sum of the areas of all the faces or surfaces of the object. For example, the surface area of a rectangular prism is the sum of the areas of its six rectangular faces.

To find the surface area of the cylinder, we need to find the area of each of its faces and add them up.

The cylinder has two circular faces, each with a diameter of 3.4 inches. The formula for the area of a circle is A = πr², where r is the radius of the circle. The radius of each circle is half of the diameter, so r = 1.7 inches. Therefore, the area of one circular face is:

A1 = π(1.7 in)² = 9.05π in²

Since there are two circular faces, their total area is:

A1_total = 2 × A1 = 18.1π in²

The cylinder also has a rectangular face, which is the curved surface between the two circular faces. The height of this rectangle is given as 3 inches. The length of this rectangle is the same as the circumference of one of the circular faces, which is πd (where d is the diameter). Therefore, the length of the rectangle is:

L = πd = π(3.4 in) = 10.64 in

The area of the rectangular face is:

A2 = L × h = 10.64 in × 3 in = 31.92 in²

Therefore, the total surface area of the cylinder is:

A_total = A1_total + A2 = 18.1π in² + 31.92 in² = 49.02π in²

Rounding to two decimal places, we get:

A_total ≈ 15.98π in²

So the answer is: 15.98π in².

Therefore, the surface area of the cylinder in terms of π is 15.98π in².

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Answer: 15.98π in²

Step-by-step explanation:

did test and it is right

Answer:

0.175

Step-by-step explanation:

2n > 20 = 5n<60

2n+5n=7n

40/7n= 0.175

n=0.175

The dot product of (3, -1) and (1, 5) is 8.

The dot product, also known as the scalar product, is a mathematical operation performed on two vectors to yield a scalar value. In order to calculate the dot product of two vectors, we multiply their corresponding components and then sum up the results.

For the given vectors (3, -1) and (1, 5), we can calculate their dot product as follows:

(3 * 1) + (-1 * 5) = 3 - 5 = -2

Therefore, the dot product of (3, -1) and (1, 5) is -2.

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Answer:

∠B = 60°

Step-by-step explanation:

They are supplementary angles, which means they add up to 180°.

∠B + ∠A = 180

? + 120 = 180

? = 180 - 120

? = 60°

Online calculator of variable cost is used to Total Variable Cost = Total Cost-Fixed Costs to calculate the Total Variable Cost.

A variable cost is an expense that changes as a company's production output rises and falls. Variable expenses vary according on the amount of output produced. Basic variable costs include, in large part:

Variable costs are frequently employed in business and are a crucial component of the analysis of the company's break-even point. The revenue or unit that must be sold to cover all costs is examined using the break-even approach.

The following calculation is the break-even point:

Break-even point in units = Fixed costs/(Sales price per unit – Variable cost per unit)

Variable costs are crucial for successful investors because they help them calculate the proportion of the set price and predict how the company will respond to various operational scenarios.

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The parametric equation of the line which is the intersection of the planes - x+3y+z=7 and x+y=1 is-  x= 1- t,  y= t,  z= 8- 4t.

Given:  -x+3y+z=7      - (i)

            x+y=1            - (ii)

Rearrange the equation (i) and (ii),

we get,   -x+3y+z-7=0   -(iii)

               x+y-1=0       -(iv)

To find the parametric equation of the line, solve the equation (iii) and (iv) simultaneously,

On solving the equation simultaneously we get,

4y+z-8=0

arrange this equation,  z=8-4y   -(v)

Let y=t     -(vi)

putting the value of y in equation (v)

so we get,  z=8-4t     -(vii)

putting the value of y and z in equations (iii) or (iv)

-x+3t+8-4t-7=0

x=1 -t

Therefore the parametric equation of the line which is the intersection of the planes -x+3y+z=7 and x+y=1  are x = 1 - t, y = t, z = 8 - 4t.

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Answer:

  1st to 4th: Sam, Cras, Randy, Charte

Step-by-step explanation:

The places are determined by putting the times in increasing order.

time, place, name

25.85, 1st place, Sam

25.90, 2nd place, Cras

32.20, 3rd place, Randy

32.28, 4th place, Charte

_____

Additional comment

Sometimes it is easier to compare values when they all have the same number of decimal places.

Answer:

Step-by-step explanation:

V = 1/3bh or V=bh/3

cross multiply

3V = bh

divide both sides by b

3V/b = h or h = 3V/b

The expression of the perimeter of the right triangle is 12a³

Perimeter is the distance around the edge of a shape. Learn how to find the perimeter by adding up the side lengths of various shapes.

Therefore , if the three sides of a triangle is represented by a, b,c then the perimeter = a+b+c.

The hypotenuse of the triangle =

√(3a³)² + 4a³)²

= √ 9a⁶+16a⁶

= √ 25a⁶

= 5 a³

therefore the perimeter of the triangle =

5a³ + 3a³ + 4a³

= 12a³

therefore the perimeter of the triangle is 12a³

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Its true that perpendicular bisectors also exist for the height from an isosceles triangle's vertex angle to its base.

Given that,

We have to find perpendicular bisectors also exist for the height from an isosceles triangle's vertex angle to its base.

We know that

Let us take a triangle ABC and draw an altitude CD

Being an isosceles triangle

In ΔACD and ΔCDB

CD=CD (common )

CA=CB ( equal opposite sides)

∠ A=∠ B (the angle between the opposing sides is also equal)

Triangle ACD and triangle CDB are congruent

So , AD=DB by CPCT

So, its true

Therefore, Its true that perpendicular bisectors also exist for the height from an isosceles triangle's vertex angle to its base.

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Answer:

It will depend on how many euros they intend to convert. If they were only converting one euro they would get $1.35 whichever rate they used, but imagine it was a thousand euros - at the correct rate they would get $1352.61, at the proposed rate they would only get $1350. No, by rounding the conversion ratio, the Ruiz family will not be getting the most accurate answer. Using the more accurate conversion ratio will give an answer with more than 2 decimal places so the answer can accurately be rounded after the conversion.

Answer:

the answe its the light blue/green the y=3x+3

Step-by-step explanation:

Richard is 35 years old and Teo is 10 years old.

What is the linear function?

The difference between starting and final numbers is the percentage drop. It displays a percentage loss of value compared to the original regardless of the units. The difference between the initial and final amounts is the amount of decline.

We have,

Richard and Teo have a combined age of 48.

Richard is 15 years older than twice Teo's age.

Let the ages of Richard and Teo be R and T years old respectively.

R +T= 48    -----(1)

R= 2T + 15   -----(2)

Substitute (2) into (1):

2T +15 +T= 48

3T +15= 48

3T= 48 -15

3T= 33

T= 33 ÷ 3

T= 10.1

Substitute T= 10.1 into (2):

R= 2(10.1) +15

R= 20.2 +15

R= 35.2

R = 35

Hence, Richard is 35 years old and Teo is 10 years old.

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Given that 25% of students solved at least two tasks and there were 32 students who wrote the test, we can prove that there was at least one task that no more than 12 students solved.

There was at least one task that no more than 12 students solved, we can use a proof by contradiction.

Assume that all five tasks were solved by more than 12 students. This means that for each task, there were at least 13 students who solved it. Since there are five tasks in total, this implies that there were at least 5 * 13 = 65 students who solved the tasks.

However, we are given that only 25% of students solved at least two tasks. If we let the number of students who solved at least two tasks be S, then we can write the equation:

S = 0.25 * 32

Simplifying, we find that S = 8.

Now, let's consider the remaining students who did not solve at least two tasks. The maximum number of students who did not solve at least two tasks is 32 - S = 32 - 8 = 24.

If all five tasks were solved by more than 12 students, then the total number of students who solved the tasks would be at least 65. However, the maximum number of students who could have solved the tasks is 8 (those who solved at least two tasks) + 24 (those who did not solve at least two tasks) = 32.

This contradiction shows that our initial assumption is false. Therefore, there must be at least one task that no more than 12 students solved.

Hence, we have proven that there was at least one task that no more than 12 students solved if 32 students wrote the test.

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The lines that are parallel and the converse theorem that justifies each statement are:

4. a. x║y

b. AEA converse.

5 a. a║b

b. CIA converse.

If two alternate exterior angles on two lines are said to be congruent to each other, the two lines they lie on are proven to be parallel lines based on the alternate exterior angles converse (AEA).

If two interior angels on the same side of a transversal are congruent to each other, the lines they are found on can be proven to be parallel lines based on the consecutive interior angles converse (CIA).

Therefore, we have the following deductions:

4. a. If <9 ≅ <15, then the lines that are parallel are, x║y

b. The correct justification for this is, AEA converse.

5 a. If m<3 + m<10 = 180°, then the lines that are parallel are, a║b

b. The correct justification for this is, CIA converse.

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Answer:

The scale factor is 3

Step-by-step explanation:

6/2=3 (one of the triangles sides)