Graph A and Graph B both show the average square feet of apartment living space per person in the city of Washington for two years: 2001 and 2021 . ( Hoth graphs show exactly the same data.) The average living space was about 6 times as high in 2021 as in 2001 . The average living space was about 9
1
​
as high in 2021 as in 2001. The average living space was about 3
1
​
as high in 2021 as in 2001 . (b) Approximate the difference in the average living space for the two years. Write your answer to the nearest whole number, in hundreds of square feet. hundred square feet (c) Which of the two graphs is more likely to

The magnitude of the magnetic field at that point is 3.08 × 10^-5 T.

The magnitude of the magnetic field can be calculated using Ampere's Law. The formula is given by:

B = (μ₀ * I) / (2 * π * r)

where B is the magnetic field, μ₀ is the permeability of free space (4π * 10^-7 T·m/A), I is the current, and r is the distance from the wire.

Calculating the magnetic field for each wire separately and adding them together:

B₁ = (4π * 10^-7 T·m/A * 25 A) / (2 * π * 0.10 m) = 1.0 × 10^-5 T

B₂ = (4π * 10^-7 T·m/A * 25 A) / (2 * π * 0.06 m) = 2.08 × 10^-5 T

The total magnetic field at that point is the sum of the individual magnetic fields:

B = B₁ + B₂ = 1.0 × 10^-5 T + 2.08 × 10^-5 T = 3.08 × 10^-5 T

Therefore, the magnitude of the magnetic field at that point is 3.08 × 10^-5 T.

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Answer:

C

Step-by-step explanation:

the 50 miles don't really matter in this situation. 180$ per hour will be 180h (as we don't know the number of hours used) and the 50$ gas fee, which is what C is representing.

Answer:

C:  C = 180h + 50

Step-by-step explanation:

180 per hour, with h representing how many hours, and then  you need a $50 gas fee. So, the answer would be C = 180h + 50

Answer:

Step-by-step explanation:

Answer:

The number of :

Red carnations sold = x = 692 carnations

Pink carnations sold = y = 231 carnations

Step-by-step explanation:

Let us represent

The number of :

Red carnations = x

Pink carnations = y

The Student Advisory Council here at PC sells red and pink carnations every year for Valentine's Day.

The number of red carnations sold was 1 less than 3 times the number of pink carnations sold.

x = 3y - 1 .....Equation 1

Red carnations were sold for $0.60 each and Pink Carnations sold for $0.80 each. The club made $600.00. .

$0.60 × x + 0.80 × y = $600

0.6x + 0.80y = 600...... Equation 2

Using substitution method:

Let us substitute, 3y - 1 for x in Equation 2

0.6(3y - 1) + 0.80y = 600

1.8y - 0.6 + 0.80y = 600

1.8y + 0.80y = 600 + 0.6

2.6y = 600.6

y = 600.6 ÷ 2.6

y = 231 carnations

Solving for x

x = 3y - 1 .....Equation 1

x = 3(231) - 1

x =693 − 1

x = 692 carnations

Therefore, The number of :

Red carnations = x = 692 carnations

Pink carnations = y = 231 carnations

The cross sectional area of the cargo trailer floor, which is a composite figure consisting of a square and an isosceles triangle, indicates that the volume of the inside of the trailer is about 3,952 ft³.

A composite figure is a figure comprising of two or more regular figures.

The possible cross section of the trailer, obtained from a similar question on the internet, includes a composite figure, which includes a rectangle and an isosceles triangle.

Please find attached the cross section of the Cargo Trailer Floor created with MS Word.

The dimensions of the rectangle are; Width = 6 ft, length = 10 ft

The dimensions of the triangle are; Base length 6 ft, leg length = 4 ft

Height of the triangular cross section = √(4² - (6/2)²) = √(7)

The cross sectional area of the trailer, A = 6 × 10 + (1/2) × 6 × √(7)

A = 60 + 3·√7

Volume of the trailer, V = Cross sectional area × Height

V = (60 + 3·√7) × 6.5 = 3900 + 19.5·√7

Volume of the trailer = (3,900 + 19.5·√(7)) ft³ ≈ 3952 ft³

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A distribution in which all the values have the same frequency is called a rectangular distribution. This type of distribution is also known as a uniform distribution ,

because the probability of any given value occurring is equal to every other value in the distribution. Rectangular distributions can be represented graphically by a flat, straight line that runs across the entire range of values, indicating that each value has an equal chance of occurring.

This type of distribution is commonly used in probability and statistics, as well as in financial analysis and risk management. While rectangular distributions are relatively simple and easy to understand, they may not always accurately reflect the true nature of a dataset, particularly if there is a significant amount of variation or outliers.

It is important to note that bimodal and standard distributions have different properties and are not the correct terms for this scenario. Bimodal refers to a distribution with two distinct peaks, while standard distribution typically refers to a normal distribution with a mean of 0 and a standard deviation of 1.

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The area of the given polygon with vertices is 45/2 units.

A vertex is a point where two lines meet and they form an angle.

According to the given question the area of the polygon with the given vertices T(0,-2), U(3,5), V (-3,5).

We can observe here that the polygon has three vertices and hence it is a triangle.

We know when vertices of a triangle are given (x₁,y₁), (x₂,y₂) and (x₃,y₃) given we can fid it's area by

A = 1/2 | x₁(y₂ - y₃) + x₂(y₃ - y₁) + x₃(y₁ - y₂) |.

A = 1/2 | 0(5 - 5) + 3(5 + 2) -3(0 - 5) |.

A = 1/2 | 0 + 30 + 15 |.

A = 1/2 | 45 |.

A = 45/2.

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The statement is true. The point estimate of a population parameter is always at the centre of the confidence interval for the parameter.

To elaborate:
- "Point estimate" refers to a single value used as an estimate of a population parameter.
- "Population parameter" is a numerical value that characterizes a specific attribute of a population, such as its mean or proportion.
- "Confidence interval" is a range of values within which we are reasonably confident that the true population parameter lies.
In this context, when we construct a confidence interval for a population parameter, the point estimate is used as the central value, and the interval is built around it based on a specified level of confidence (e.g., 95%). False. The point estimate of a population parameter is not always at the centre of the confidence interval for the parameter. The confidence interval is a range of values that is likely to contain the true value of the parameter with a certain level of confidence. The point estimate is a single value that is calculated from a sample and used to estimate the population parameter. The centre of the confidence interval is determined by the level of confidence and the variability of the data, not necessarily the point estimate.

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Know the test format

Create a study schedule

Utilize materials from teacher

Eat breakfast before

Chew gum while studying

Get a good night's sleep

Manage your time to study

Answer the questions you know first

During the test make sure you have:

Pencil, eraser, pen

study guide if teacher allows

extra scratch paper

calculator if needed

Revise the study guide or your noted in class while waiting for teacher to start (if allows)

Make sure you study well! Good Luck!

Answer:

3.  

If a conditional statement is written in the form “If p then q”, how is the inverse of the conditional statement written?

If not q, then not p

If not p, then not q  

If not q then p

If not p then q

To write the inverse of a conditional statement, you use the "opposite" of the hypothesis and the conclusion in a conditional statement.

Step-by-step explanation:

Contrapositive statement of "if p then q" written as If not q, then not p which is correct option (C).

Contrapositive of the conditional statement is defined as interchange the hypothesis and the conclusion of the inverse statement.

Contrapositive statement of "if p then q" written as If not q, then not p

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In response to the stated question, we may state that As a result, the area final polynomial in standard form is: -25pi + 50

The size of a surface area can be represented as an area. The surface area is the area of an open surface or the border of a three-dimensional object, whereas the area of a planar region or planar region refers to the area of a shape or flat layer. The area of an item is the entire amount of space occupied by a planar (2-D) surface or form. Make a square with a pencil on a sheet of paper. A two-dimensional character. On paper, the area of a form is the amount of space it takes up. Assume the square is made up of smaller unit squares.

To calculate the area of the darkened areas, subtract the area of the circle from the area of the square.

Then, determine the square's side length. Because the circle's diameter is ten, the radius is five. Because the diagonal of a square equals the diameter of a circle, we can use the Pythagorean theorem to calculate the side length:

\(s^2 + s^2 = 10^2\\2s^2 = 100\\s^2 = 50\\s = \sqrt(50) = 5 * \sqrt(2)\)

The square's area is then:

\(A_{square} = s^2 = (5 * \sqrt(2))^2 = 50\)

The circle's area is:

\(A_{circle} = pi * r^2 = pi * 5^2 = 25 * pi\)

The shaded region's area is:

\(A_{shaded} = A_{square} - A_{circle} = 50 - 25 * pi\)

As a result, the final polynomial in standard form is:

-25pi + 50

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Answer:B. C. D. 62°. 1240. 236°. 2480. 6 A minor arc of OP is. 2. If a circle has a diameter of ... Choose the true statement. F a point of tangency. G a tangent line. H a chord ... none of these. 8. 10. A. B. C. D. 19.3 ft. 28.3 ft. 8.9 ft. 17.9 ft. 18. Short Answer.

Step-by-step explanation:

For the given function g(x)=cfx(x), where c>0 and x is a continuous random variable, the PDF, CDF and mean of g(x) are given by:

The probability density function (PDF) of g(x) is given by:

g(x) = cfx(x) = cfx(x)


The cumulative density function (CDF) of g(x) is given by:

G(x) = ∫ g(x) dx


The mean of g(x) is given by:

E[g(x)] = ∫ xg(x)dx


To summarize, for the given function g(x)=cfx(x), where c>0 and x is a continuous random variable, the PDF, CDF and mean of g(x) are given by:

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Answer:

The answer is -285

Step-by-step explanation:

a) The average selling price in Bloomington is $301,596.27.

b) The average and standard deviation of the square footage of houses in Bloomington are 2,164.57 sqft and 954.61 sqft, respectively.

c) There are 98 houses made primarily of brick and 102 not.

d) There is a positive moderate relationship between selling price and square footage of houses in Bloomington.

e) On average, houses in newer neighborhoods have a higher selling price than more traditional ones.

The descriptive analysis in Bloomington has given the following insights: The average selling price in Bloomington is $301,596.27. The average and standard deviation of the square footage of houses in Bloomington are 2,164.57 sqft and 954.61 sqft, respectively. There are 98 houses made primarily of brick and 102 not. There is a positive moderate relationship between selling price and square footage of houses in Bloomington. On average, houses in newer neighborhoods have a higher selling price than more traditional ones.

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Answer:

Area = 20 sq yd

Step-by-step explanation:

Use area of a triangle to solve:

A = 1/2 b•h

A = 1/2(10)(4)

A = 20 sq yd

Any side can be a base. The height must be perpendicular to that base. Turn this triangle to see base and height are given. See image.

Answer:

y = –3 is the answer since the y-coordinate is –3 and y = lines are horizontal.

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The equation of the horizontal line through (-7,-3) is \(y = x - 3\).and this can be determined by using the two-point form of a line.

Given :

The line is horizontal and passes through (-7,-3).

The following steps can be used in order to determine the equation of a line that passes through (-7,-3):

Step 1 - According to the given data, the line is horizontal which means it is parallel to the x-axis.

Step 2 - So, the horizontal line also passes through (0,-3).

Step 3 - So, the equation of a line that passes through the points (-7,-3) and (0,-3) is:

\(\dfrac{y+3}{x-0}=\dfrac{-3+3}{-7-0}\)

Step 4 - Simplify the above expression.

\(y = x - 3\)

So, the equation of the horizontal line through (-7,-3) is \(y = x - 3\).

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A standard normal random variable (Z) has a mean of 0 and a standard deviation of 1. The probability of Z being greater than 0 is equal to the area under the normal curve to the right of 0, which is exactly half of the total area under the curve (since the curve is symmetric around the mean of 0). Therefore, P(Z>0) is equal to 0.5.

A standard normal random variable, like Z in your question, follows a standard normal distribution, which is a special type of normal distribution with a mean of 0 and a standard deviation of 1. Now, you're asked to find the probability P(Z > 0).

Since the standard normal distribution is symmetrical around the mean (0), the probability of Z being greater than 0 is equal to the probability of Z being less than 0. In other words, half of the distribution is on the right side of the mean, and the other half is on the left side.

Therefore, P(Z > 0) = 0.5, which is your answer.

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There are number of 170 seats with folding arm tablets that are not designed for wheelchair users.

1. First we need to identify the total number of seats in the lecture hall which is 200.

2. Then we need to identify the number of seats with folding arm tablets that are designed for wheelchair users which is 30.

3. To find the number of seats with folding arm tablets that are not designed for wheelchair users, we can subtract the number of seats designed for wheelchair users from the total number of seats.

4. Therefore, 200 - 30 = 170, which means there are 170 seats with folding arm tablets that are not designed for wheelchair users.

The lecture hall in question has a total of 200 seats, with 30 of those seats having folding arm tablets that are designed for wheelchair users. To find the number of seats with folding arm tablets that are not designed for wheelchair users, we can subtract the number of seats designed for wheelchair users from the total number of seats. This means that 200 - 30 = 170, which means there are number of 170 seats with folding arm tablets that are not designed for wheelchair users.

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Answer:

9 :)))))))))))

Answer:

k........

Step-by-step explanation:

Meeting ID: 420 891 2125

Passcode: 8Qv5ZX

for xxx fun

Answer:

C

Step-by-step explanation:

Okay, so from the equation, x is greater or equal to -1, which means we fill in everything positive or to the right of -1. Now we have to figure out if the circle should be filled or open, and since its greater or equal, and not just greater, then the circle should be filled in. Combining these two, you would get C as your answer.

When the above is simplified using Boolean Algebra, we have F = x' + y' + w'xy.

We can simplify  the Boolean function F = xy'z' + xy'z+ w'xy +   w'x'y' + w'xy using the following Boolean Algebra rules.

Absorption - x + xy = x

Commutativity -  xy = yx

Associativity - x(yz) = (xy)z

Distributivity - x(y + z) = xy + xz

Using the above , we   have

F = xy'z' + xy'z+ w'xy + w'x'y' +   w'xy

= xy'(z + z') + w'xy(x + x')

= xy' +  w'xy

= (x' + y)(x' + y')  + w'xy

= x' + y' + w'xy

This means that the simplified expression is F = x' + y' + w'xy.

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Mahir needs to add capfuls of floor cleaner to the water, where the number of capfuls is equal to the number of liters of water.

Mahir is instructed to use a certain ratio of floor cleaner to water when cleaning the floor at The Palace restaurant. The ratio is given as "ml of floor cleaner for every litre of water." Let's assume this ratio is X ml of floor cleaner for every litre of water.

In the given scenario, Mahir puts "litres of water" in a bucket. Since the ratio specifies the amount of floor cleaner per litre of water, Mahir needs to add the same number of capfuls of floor cleaner as the number of litres of water. This means if Mahir puts 5 litres of water in the bucket, he needs to add 5 capfuls of floor cleaner.

To calculate the exact amount of floor cleaner required, we need to know the specific measurement of a capful in milliliters (ml). Once we know the capful measurement, we can multiply it by the number of litres of water to determine the total amount of floor cleaner needed.

For example, if a capful is 50 ml, and Mahir puts 5 litres of water in the bucket, he would need to add 5 capfuls (5 × 50 ml = 250 ml) of floor cleaner to the water.

It's important for Mahir to follow the given instructions and maintain the proper ratio of floor cleaner to water in order to achieve effective cleaning results and ensure the cleanliness and hygiene of The Palace restaurant.

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Answer:

It should be the last one!! :)

Step-by-step explanation:

Answer:

The answer is C

Step-by-step explanation:

The locations of the remaining vertices are at (−2, 2) and (−1, −1). The most specific classification of this parallelogram is a rectangle.

The correct option is (D).

Coordinates are a set of values which helps to show the exact position of a point in the coordinate plane.

Given:

Diagonal vertex = (0,1 )

One vertex of the parallelogram is located at (1, 3)

and, second vertex is located at (2, 0).

Now, Going from (0,1) to (2,4) is 2 units in x- axis, 3 units in y- axis.

So, the vertex opposite (2,4) would be -2 units in x- axis, -3 units in y- axis.

= (0,1) + (-2,-3)

=(0-2, 1-3)

= (-2,-2)

and, Going from (0,1) to (3,1) is 3 units in x- axis, 0 units in  y- axis.

So the vertex opposite (3,1) would be -3 units in x- axis, 0 units in  y- axis.

= (0,1) + (-3,0)

= (-3,1)

Hence, The locations of the remaining vertices are at (−2, 2) and (-3, 1). The most specific classification of this parallelogram is a rectangle.

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Z-score of the manufacturer's claim is 0.25.

It is a statistical expression that refers the difference between observed value and standard deviation.

we calculate the Z-score from the following equation.

Z-score= X-μ/σ

           (Observed value- mean value)/standard deviation

as per the question= (manufacturer's claim - sample mean)/standard deviation

                               (1500-1480)/80=0.25

hence, Z-score is 0.25

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Z-score of the manufacturer's claim is 0.25.

It refers to the difference between the observed value and standard deviation and is a statistical statement.

The standard score, also known as a z-score, is a highly helpful statistic since it lets us compare scores from different normal distributions and assess the likelihood that a given score will fall within our normal distribution.

The 90th percentile's z-score is 1.2816, as calculated by the Percentile to Z-Score Calculator. Therefore, a student's z-score would be deemed "excellent" if it was greater than or equal to 1.2816.

we calculate the Z-score from the following equation.

Z-score= X-μ/σ

(Observed value- mean value)/standard deviation

as per the question= (manufacturer's claim - sample mean)/standard deviation

 (1500-1480)/80=0.25

hence, Z-score is 0.25

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a) The polynomial written in standard form is -4x^3 + x + 7.

b) It is a cubic polynomial because it has three terms and a degree of 3.

A polynomial is an expression consisting of variables and coefficients, where the variables are raised to non-negative integer powers and the coefficients are constants. The degree of a polynomial is the highest power of the variable in the polynomial. For example, in the polynomial -4x^3 + x + 7, the degree is 3 because the highest power of x is 3.

The standard form of a polynomial is when the terms are arranged in descending order of their degrees. This means that the term with the highest power of the variable is written first, followed by the next highest power, and so on, until the constant term is written last. In the case of -4x^3 + x + 7, we rearranged the terms so that the -4x^3 term is first, followed by the x term, and then the constant term of 7.

Finally, we can name the polynomial based on its degree and number of terms. In this case, we have a polynomial with three terms and a degree of 3, so it is called a cubic polynomial.

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The given question is incomplete, the complete question is:

Write the polynomial in standard form then name the polynomial based on its degree and number of terms. x+ 7 - 4x^3