Mandana is ordering new tile for her kitchen floor. The area of the floor is 110.2 square feet, and she wants to order between 15% and 20% extra of the materials. Which of the following is a reasonable amount of tile for Mandana to order?

A. An equation that can be used to find the value of n is 24 = 2(n - 3).

B. The value of n is 15 units.

In Mathematics and Geometry, the area of a rectangle can be calculated by using the following mathematical equation:

A = LW

Where:

Part A.

By substituting the given side lengths into the formula for the area of a rectangle, we have the following;

24 = 2(n - 3)

Part B.

Next, we would determine the value of n as follows;

24 = 2n - 6

2n = 24 + 6

n = 30/2

n = 15 units.

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Missing information:

The question is incomplete and the complete question is shown in the attached picture.

You can infer causality from a correlational result, but only when the r value is greater than:

C. 1

Causality refers to a situation in which one event causes another. When there is a correlation between two variables, it means that they tend to move in the same direction.

However, this does not necessarily mean that one event causes the other. In order for a correlation to indicate causality, the correlation coefficient (r) must be greater than 1. If the correlation coefficient is below 1, then there is not enough evidence to suggest that one event causes the other.

In addition, there are other factors that need to be considered when assessing causality from a correlational result.

For example, the strength of the relationship between the variables, the direction of the relationship, and the consistency of the results over time. It is also important to consider the context in which the research was conducted, as this may have an effect on the results.

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The correct choice is: OA. The equation has a solution in the interval [0°, 360°).  the equation using an algebraic method.

To solve the equation 13sin(θ) - 6sin(θ) = 5 in the interval [0°, 360°), we can use algebraic methods.

First, combine like terms on the left side of the equation:

13sin(θ) - 6sin(θ) = 5

(13 - 6)sin(θ) = 5

7sin(θ) = 5

Next, isolate sin(θ) by dividing both sides of the equation by 7:

sin(θ) = 5/7

Now, we need to find the values of θ in the given interval [0°, 360°) that satisfy this equation. To do that, we can take the inverse sine (or arcsine) of both sides of the equation:

θ = arcsin(5/7)

Using a calculator or a table of trigonometric values, we can find the value of arcsin(5/7) to be approximately 48.59°.

So, the solution to the equation in the interval [0°, 360°) is:

θ ≈ 48.59°

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The given equation of lines for a and e are parallel as their slopes are equal, c is perpendicular as the slopes are negative inverses and b, d are neither parallel nor perpendicular. This can be found using the slope of the given equations of the lines.

To determine whether two lines are parallel, perpendicular, or neither, we can use the following rules:

Two lines are parallel if they have the same slope.
Two lines are perpendicular if the product of their slopes is equal to -1.
Two lines are neither parallel nor perpendicular if they have different slopes and the product of their slopes is not equal to -1.

Let's apply these rules to each of the given lines:

a. y = 5x − 2 and y = 10x − 4

Both lines have a slope of 5, so they are parallel.

b. y = -2x − 6 and 2y + 4x = 12

We can rewrite the second equation as y = -2x + 6. The slopes of these lines are not equal, so they are not parallel. We can also see that the product of the slopes is not equal to -1, so they are not perpendicular. Therefore, these lines are neither parallel nor perpendicular.

c. y = 10x − 2 and y + 10x = 0

We can rewrite the second equation as y = -10x. The slopes of these lines are negative inverses of each other, so they are perpendicular.

d. 4y + 3x = -18 and 3y = 4x + 7.

We can rewrite the first equation as y = -(3/4)x + 4.5. The slopes of these lines are not equal, so they are not parallel. We can also see that the product of the slopes is not equal to -1, so they are not perpendicular. Therefore, these lines are neither parallel nor perpendicular.

e. 5y = 7x + 2 and y = fx + 12

We can rewrite the first equation as y = (7/5)x + (2/5). The slopes of these lines are equal, so they are parallel.

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Answer:

76.8%

Step-by-step explanation:

All you have to do is multiply the decimal by 100.

Answer:

76.8%

Step-by-step explanation:

I just did a thing and got the answer -v-

The x-intercept is (4, 0) and y-intercept is (0, 1200) for the equation y = -300x + 1200 and graph shown below.

The data are simply presented in a structured manner in the graph. It helps us understand the data better. The mathematical data accumulated through perception is alluded to as information.

The data or information is shown in a line graph by being connected to one another by a straight line, which is a series of markers or dots.

Given equation is:  y = -300x + 1200

For y-intercept we have to put, x=0

⇒ y = 1200

For x-intercept put, y= 0

⇒ 0 = -300x +1200

⇒ x= 4

Hence, the y-intercept is ( 0, 1200 ) and the x-intercept is ( 4, 0 )

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Answer:

2

Step-by-step explanation:

The line goes up 2 units and to the right 1 unit.

The water tank, shaped like an inverted cone with a height of 8m and a radius of 5m, is completely emptied until the water level reaches the top of the tank.

The volume of a cone can be calculated using the formula: \($V = \frac{1}{3} \pi r^2 h$\), where V is the volume, r is the radius, and h is the height. In this case, the height of the inverted cone represents the height of the water tank, which is 8m, and the radius of the cone is 5m. The initial volume of the water in the tank can be calculated as \($V = \frac{1}{3} \pi (5^2) (8)$\).

When the water is completely emptied, the volume of the water remaining in the tank will be zero. By setting the volume equal to zero and solving for the height, we can find the water level when the tank is empty. The formula becomes \($0 = \frac{1}{3} \pi (5^2) h$\). Solving for h, we get h = 0. This means that the water level reaches the top of the tank when it is completely emptied.

In conclusion, when the water is pumped out from the tank, it will be completely emptied until the water level reaches the top of the tank, which has a height of 8m.

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Answer: A.

Step-by-step explanation: Brainliest

Answer:

See explanation below

Step-by-step explanation:

The slope for f(x) is 6, meaning that you for each one x-unit you move, the plot goes up 6 y-units.

This is the same for g(x) but the slope is negative, so the line needs to face downwards. For each one x-unit you move, the plot goes down 6 y-units.

After drawing the two lines, you find that the transformation is a reflection because the lines are perpendicular to each other. They have the same slope, but in different directions.

Answer:

50%

Step-by-step explanation:

The distribution is symmetrical about  the y-axis.

The probability that z is greater than zero in a standard normal distribution is 0.5 or 50%.

The branch which deals with the occurrence of a random event is known as probability.

The area under the curve to the right of z = 0 is equal to the area under the curve to the left of z = 0. So the standard normal distribution is symmetric about the mean of zero

As the total area under the curve is equal to 1, each of these areas must be 0.5 or 50%.

In a standard normal distribution, the probability that z is greater than zero is 0.5, or 50%.

Therefore, the probability that z is greater than zero in a standard normal distribution is 0.5 or 50%.

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Answer:

DE = 11

Step-by-step explanation:

DF = DF +EF

4x+2 = x+7 + 7

Combine like terms

4x+2 = x+14

Subtract x from each side

4x+2-x = x+14-x

3x+2 = 14

Subtract 2 from each side

3x+2-2 =14-2

3x=12

Divide by 3

3x/3 = 12/3

x = 4

DE = x+7 = 4+7 =11

Answer:

DE is 11

Step-by-step explanation:

\(DE = DF - EF \\ DE = (4x + 2) - 7 \\DE = 4x - 5 \)

But for x:

\(4x + 2 = (x + 7) + 7 \\ 4x + 2 = x + 14 \\ 3x = 12 \\ x = 4\)

Therefore:

\(DE = (4 \times 4) - 5 \\ = 16 - 5 \\ = 11\)

Answer:

B) 60 degree 50 degree 70 degree is the answer

reason:- 60+50+70=180 In the triangle the sum of all rhe angles is 180

The value of the correlation coefficient is 0.34. Thus, the option (B) 0.34 is the correct answer.

Given that a researcher measures the relationship between two variables, X and Y.

If SS(XY) = 340 and SS(X)SS(Y) = 320,000, then we need to calculate the value of the correlation coefficient.

Correlation coefficient:

The correlation coefficient is a statistical measure that determines the degree of association between two variables.

It is denoted by the symbol ‘r’.

The value of the correlation coefficient lies between -1 and +1, where -1 indicates a negative correlation, +1 indicates a positive correlation, and 0 indicates no correlation.

How to calculate correlation coefficient?

The formula to calculate the correlation coefficient is as follows:

r = SS(XY)/√[SS(X)SS(Y)]

Now, substitute the given values, we get:

r = 340/√[320000]r = 0.34

Therefore, the value of the correlation coefficient is 0.34. Thus, the option (B) 0.34 is the correct answer.

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The dividend in 2018 was $2.95, and it is expected to grow at a rate of 7.4% for the next five years and 2.6% thereafter. With an equity cost of capital of 8.6%, the value per share at the end of 2018 can be calculated.

To calculate the value per share at the end of 2018, we need to discount the expected future dividends using the dividend-discount model. The model assumes that the value of a stock is equal to the present value of all its expected future dividends.

First, we need to calculate the dividends for each year from 2019 to 2023. We start with the dividend in 2018, which was $2.95. We then increase it by 7.4% each year for the next five years:

Dividend in 2019 = $2.95 * (1 + 7.4%) = $3.17

Dividend in 2020 = $3.17 * (1 + 7.4%) = $3.40

Dividend in 2021 = $3.40 * (1 + 7.4%) = $3.65

Dividend in 2022 = $3.65 * (1 + 7.4%) = $3.92

Dividend in 2023 = $3.92 * (1 + 7.4%) = $4.22

After 2023, the dividend is expected to grow at a rate of 2.6% per year. To find the value per share at the end of 2018, we discount the future dividends to their present value using the equity cost of capital of 8.6%.

The present value of the dividends can be calculated as follows:

PV = (D1 / (1 + r)) + (D2 / (1 + r)^2) + ... + (Dn / (1 + r)^n)

where PV is the present value, D1 to Dn are the dividends for each year, r is the equity cost of capital, and n is the number of years.

In this case, n = 5 because we are discounting the dividends for the next five years. Let's calculate the present value:

PV = ($3.17 / (1 + 8.6%)) + ($3.40 / (1 + 8.6%)^2) + ($3.65 / (1 + 8.6%)^3) + ($3.92 / (1 + 8.6%)^4) + ($4.22 / (1 + 8.6%)^5)

PV = $3.17 / 1.086 + $3.40 / 1.086^2 + $3.65 / 1.086^3 + $3.92 / 1.086^4 + $4.22 / 1.086^5

PV ≈ $2.91 + $3.07 + $3.24 + $3.41 + $3.59

PV ≈ $16.22

Therefore, the estimated value per share of Procter and Gamble at the end of 2018 using the dividend-discount model is approximately $16.22.

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The dividend in 2018 was $2.95, and it is expected to grow at a rate of 7.4% for the next five years and 2.6% thereafter. With an equity cost of capital of 8.6%, the value per share at the end of 2018 can be calculated.

To calculate the value per share at the end of 2018, we need to discount the expected future dividends using the dividend-discount model.
The model assumes that the value of a stock is equal to the present value of all its expected future dividends. First, we need to calculate the dividends for each year from 2019 to 2023. We start with the dividend in 2018, which was $2.95. We then increase it by 7.4% each year for the next five years:

Dividend in 2019 = $2.95 * (1 + 7.4%) = $3.17
Dividend in 2020 = $3.17 * (1 + 7.4%) = $3.40
Dividend in 2021 = $3.40 * (1 + 7.4%) = $3.65
Dividend in 2022 = $3.65 * (1 + 7.4%) = $3.92
Dividend in 2023 = $3.92 * (1 + 7.4%) = $4.22

After 2023, the dividend is expected to grow at a rate of 2.6% per year. To find the value per share at the end of 2018, we discount the future dividends to their present value using the equity cost of capital of 8.6%.
The present value of the dividends can be calculated as follows:
PV = (D1 / (1 + r)) + (D2 / (1 + r)^2) + ... + (Dn / (1 + r)^n) where PV is the present value, D1 to Dn are the dividends for each year, r is the equity cost of capital, and n is the number of years.

In this case, n = 5 because we are discounting the dividends for the next five years. Let's calculate the present value: PV = ($3.17 / (1 + 8.6%)) + ($3.40 / (1 + 8.6%)^2) + ($3.65 / (1 + 8.6%)^3) + ($3.92 / (1 + 8.6%)^4) + ($4.22 / (1 + 8.6%)^5)
PV = $3.17 / 1.086 + $3.40 / 1.086^2 + $3.65 / 1.086^3 + $3.92 / 1.086^4 + $4.22 / 1.086^5
PV ≈ $2.91 + $3.07 + $3.24 + $3.41 + $3.59
PV ≈ $16.22
Therefore, the estimated value per share of Procter and Gamble at the end of 2018 using the dividend-discount model is approximately $16.22.

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Given:

A train travels 288 km at a uniform speed.

If the speed has been 4 km per hour more it would have taken one hour less for the same journey.

To find:

The initial speed of the train.

Solution:

Let x km/h be the initial speed on the train.

New speed of train = (x+4) km/h

We know that,

\(Time=\dfrac{Distance}{Speed}\)

Time taken by the train initially to cover 288 km is \(\dfrac{288}{x}\) hours.

New time taken by the train to cover 288 km is \(\dfrac{288}{x+4}\) hours.

It is given that If the speed has been 4 km per hour more it would have taken one hour less for the same journey.

\(\dfrac{288}{x}-\dfrac{288}{x+4}=1\)

\(\dfrac{288(x+4)-288x}{x(x+4)}=1\)

\(288x+1152-288x=x^2+4x\)

\(1152=x^2+4x\)

\(0=x^2+4x-1152\)

Splitting the middle term, we get

\(x^2+36x-32x-1152=0\)

\(x(x+36)-32(x+36)=0\)

\((x+36)(x-32)=0\)

\(x=-36,32\)

We know that the speed cannot be negative. So, the only possible value of x is 32.

Therefore, the speed of the train is 32 km/h.

Answer: The correct answer is 8.12%-11.88%.

We can use the formula for a confidence interval for a proportion:

p ± z*SE

where p is the sample proportion, z* is the z-score corresponding to the desired level of confidence (in this case, 1.96 for a 95% confidence interval), and SE is the standard error of the proportion.

SE = sqrt(p*(1-p)/n) = sqrt(0.1*0.9/1015) = 0.0094

Plugging in the values, we get:

0.1 ± 1.96*0.0094

= 0.1 ± 0.0184

So the 95% confidence interval is (0.0816, 0.1184), which is equivalent to 8.12%-11.88%.

Step-by-step explanation:

Answer:

True

Step-by-step explanation:

brainliest

Answer:

Step-by-step explanation:

x divided by the sum of x and 5

x : (x + 5) =

x × (1/1x^-1 + 1/5) =

1 + 1/5x

Answer:

-11/12 + 5/12

-11+5/12

-6/12

-1/2

Answer:

-6/12

Step-by-step explanation:

1. Change the signs. Two negatives make a positive.

     -11/12 + 5/12

2. Add them together.

     -6/12

3. Simplify

-1/2

The formula for the volume of a cone is:

V = (1/3)πr²h

where r is the radius of the base, h is the height of the cone, and π is pi.

In this case, the slant height is given as 17 cm, which we can use with the radius to find the height of the cone using the Pythagorean theorem:

h² = s² - r²

h² = 17² - 8²

h² = 225

h = 15

Now that we have the height, we can plug in the values for r and h into the formula for the volume:

V = (1/3)π(8²)(15)

V = (1/3)π(64)(15)

V = (1/3)(960π)

V = 320π

Therefore, the volume of the cone is 320π cubic cm. Answer: 320π.

Answer:

work is shown and pictured

The inequality to represent this situation is T < 15°C, where T is the temperature.

Inequality is a statement that two values, expressions, or quantities are not equal. Inequality is usually represented by the symbols ">", "<", "≥", or "≤".

This inequality can be graphed on the number line by representing 15°C as a point on the number line. Any values to the left of 15°C, such as 14°C, 13°C, and so on, would be represented as points to the left of 15°C on the number line.

Less than inequality is used to compare two values ​​to see if one is less than the other. In this case, the inequality T < 15°C states that the temperature T must be less than 15°C in order for the furnace to turn on.

Graphically, the solution to this inequality is represented by a number line with a point at 15°C and all points to the left of 15°C represented in the solution set.

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Answer:

dam you on y own shiiiii

Answer:

3-2x=15

Step-by-step explanation:

add 3 to both sides makes -2x=18. divide -2 from both side gets the answer x=-9, so the answer is C, -9

Answer:

its A

Step-by-step explanation:

memorized factory plans to avoid entanglements with British officials.

Answer:

a

Step-by-step explanation:

Answer:

40%

Step-by-step explanation:

6/15=2/5=4/10=40%

Answer:

69

Step-by-step explanation:

Answer:

Answer

Step-by-step explanation:

H (28) = 41 + 28

H (28) = 69

Each month is +1 cm, which means 41 + 28 = 69 cm is the plant height in 28 months

Answer:

Step-by-step explanation:

-7