The coordinates of the vertices of trapezoid EFGH are E (-8, 8), F(-4, 12), G(-4, 0), and H(-8, 4). The coordinates of the vertices of trapezoid E'F'G'H' are E' (-8,6), F'(-5, 9), G' (-5,0), and H'(-8, 3). Which statement correctly describes the relationship between trapezoid EFGH and trapezoid E'F'G' H'?

Step-by-step explanation:

OK so your gonna add 6 and 11 then multiply it by 3, the height. then your gonna divide by 2

The coordinates of the vertices of the floor plan are given in the image provided in the question.

Before we can calculate the area, we need to get the lengths of the sides. This we can do by subtracting the coordinates of consecutive vertices. Note that the vertices are in the form (x, y). The x-coordinates are for horizontal lengths, while the y-coordinates are for vertical lengths.

For instance, the length first vertical line to the extreme left of the image can be gotten by subtracting as shown below:

and the base of the image can be gotten to be:

The image of the shape of the floor plan with the floor lengths is shown below:

To find the area, we can divide the shape into manageable chunks. These are shown below:

Area of A

Using the formula to find the area of a rectangle given to be:

the area of A is calculated to be:

Area of B

Using the formula for the area of a rectangle as well, we have:

Area of C

This is calculated to be:

Combined Area of the Floor

This is calculated as the sum of all the areas. This is gotten to be:

The area of the floor is 169 square feet.

Answer:

She must sell at least 18 necklaces to have a profit of at least 1,650 . In order to pay for her monthly expenses she needs to sell at least 43 necklaces. If she wants to have 1,650 remaining after paying for her monthly expenses she'll have to sell around 61 necklaces.

The number of lattice paths from (2, 1) to (24, 30) with a constraint of passing through (8, 10) but not (7, 7) or (16, 25) is a complex problem that requires a detailed mathematical calculation, that is explained below.

Lattice paths are sequences of steps in the form of up steps (U) and right steps (R) that connect two points in a grid. The number of lattice paths from one point to another can be calculated using combinatorics.

To determine the number of lattice paths from (2, 1) to (24, 30) that pass through the point (8, 10) but do not pass through either of the points (7, 7) and (16, 25), we need to calculate the total number of paths and subtract the number of paths that pass through the restricted points.

Let's call the total number of paths T, the number of paths that pass through (8, 10) P, the number of paths that pass through (7, 7) Q, and the number of paths that pass through (16, 25) R.

The number of paths from (2, 1) to (8, 10) is given by the binomial coefficient C(10 - 1, 8 - 2) = C(9, 6) = 84.

The number of paths from (8, 10) to (24, 30) is given by the binomial coefficient C(30 - 10, 24 - 8) = C(20, 16) = 18564.

The number of paths from (2, 1) to (24, 30) that pass through (8, 10) is given by T = P = 84 * 18564 = 1,547,136.

Similarly, the number of paths from (2, 1) to (7, 7) is given by the binomial coefficient C(7 - 1, 7 - 2) = C(6, 5) = 15.

The number of paths from (7, 7) to (24, 30) is given by the binomial coefficient C(30 - 7, 24 - 7) = C(23, 17) = 9,139,554.

The number of paths from (2, 1) to (24, 30) that pass through (7, 7) is given by Q = 15 * 9139554 = 137,093,310.

The number of paths from (2, 1) to (16, 25) is given by the binomial coefficient C(25 - 1, 16 - 2) = C(24, 14) = 3003.

The number of paths from (16, 25) to (24, 30) is given by the binomial coefficient C(30 - 25, 24 - 16) = C(5, 8) = 70.

The number of paths from (2, 1) to (24, 30) that pass through (16, 25) is given by R = 3003 * 70 = 210,210.

Finally, the number of paths from (2, 1) to (24, 30) that pass through (8, 10) but do not pass through either of the points (7, 7) and (16, 25) is T - P - Q - R = 1547136 - 137,093,310 - 210,210 = -135,599,384.

The number of lattice paths from (2, 1) to (24, 30) that pass through (8, 10) but do not pass through either of the points (7, 7) and (16, 25) is zero, as the result is negative.

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Answer:

£3150

Step-by-step explanation:

First you divide 5 by 100.

5% Interest Rate = 0.05

Then you times 3000 by 0.05.

3000 × 0.05 = 150

Then your add your answers together.

3000 + 150 = 3150

Answer:

£3150

Step-by-step explanation:

is the correct 1

How is anyone gonna know that lol

The travel time x is 41.162 min such that 17.36% of the 60 days have a travel time that is at least x.

We have to determine the travel time such that 17.36% of the 60 days have a travel time that is at least.

Total work days to work = 60 days

The travel mean time = 35.6

Standard deviation = 10.3

For normal distribution,

P(X < A) = P(Z < (A - mean)/standard deviation)

P(X > x) = 0.2946

P(X < x) = 1 - 0.2946 = 0.7054

P(Z < (x - 35.6)/10.3) = 0.7054

Take the z value that corresponds to 0.7054 in the table of the standard normal distribution.

(x - 35.6)/10.3 = 0.54

x = 41.162 min

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Answer:

The area of the field is 70 square meters

Step-by-step explanation:

Given

See attachment for scale drawing

Required

The actual area

From the scale drawing, we have;

\(Base = 7\)

\(Height = 5\)

So, the area of the scale is:

\(Area = 0.5 * Base * Height\)

\(Area = 0.5 * 7 * 5\)

\(Area = 17.5\) square units

Also from the attached scale,

\(1\ unit = 2m\)

So, we have:

\(Area = 17.5 * (2m)^2\)

\(Area = 17.5 * 4m^2\)

\(Area = 70m^2\)

The area of the field is 70 square meters

Answer: The answer is 226.2 feet.

Step-by-step explanation: The formula to find the total surface area of a cylinder is 2\(\pi\) x radius squared x height. If you use the formula you will get 226.19 feet as your answer and I rounded that to 226.2 feet.

UR MOM

Mark is twelve years old

Answer:

8. X + Y = an even number

Step-by-step explanation:

if X and Y are a odd number then if you add them you get an even number

The job with the longest process time is scheduled first, followed by the next longest, and so on.

Using the LPT (Longest Processing Time) priority, the sequence for jobs a, b, c, and d with process times 4, 6, 5, and 2 respectively would be:

1. Job b (6 units)
2. Job c (5 units)
3. Job a (4 units)
4. Job d (2 units)

The LPT priority rule arranges the jobs in decreasing order of their process times. So, the job with the longest process time is scheduled first, followed by the next longest, and so on.

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Answer:

236 mi^2

Step-by-step explanation:

from left to right, we have 2 rectangles and 1 triangle.

First rectangle: A = lw = 13 x 7 = 91

Second rectangle: A = lw = 8 x 5 = 40

Triangle: A = 1/2bh = 1/2 x 14 x 15 = 105

Total area: 91 + 40 + 105 = 236

Answer:

Step-by-step explanation:

Let the required volume be x

Use the ratio of gallon/volume to solve:

With 20 gallons the scientist can cover 2.6 ft³ of water volume

A polynomial regression model is a good choice for this data, as it can fit the trend of increasing population growth over time.

A function is a mathematical concept that assigns a unique output value for each input value.

In mathematical notation, a function is usually expressed as "f(x)" where "x" is the input and "f(x)" is the corresponding output. For example, a function could be defined as f(x) = x^2, which means that for any value of x, the function will calculate and return the square of that value.

To model the world population data, we can use a mathematical function to fit the data points. A polynomial regression model is a good choice for this data, as it can fit the trend of increasing population growth over time.

To find the expected world population in 2017, we would need to estimate the polynomial regression model using the data points provided and then evaluate the model at the year 2017.

Research shows that the actual world population in 2017 was approximately 7.5 billion, which is higher than our estimated value based on the limited data points provided. This highlights the importance of considering additional factors and data when making predictions about the world population.

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The complete question is

Answer:

9 : 7

Step-by-step explanation:

Given

4.5 : 3 \(\frac{1}{2}\) ( multiply both parts by 2 to clear the fractions )

= 9 : 7

The values of A, B, and C will Ax + By = C be a horizontal line through the point (−4, 2) are ( 0, B, 2B)

In the above question, a horizontal line is given whose equation is Ax + By = C which passes through a point (-4, 2)

We can make two observations from the given information of horizontal line passes through point (-4,2) which are as follows:

1. The slope of a horizontal line will be parallel to the x-axis whose slope will be, m=0.

2. The given point and the line meet at (-4,2).

Now as the point (-4,2) lie on the line it will satisfy the equation of the horizontal line

We get,

A(-4) + B(2) = C

-4A + 2B = C ..... eqn 1

Also, we can write the given equation in the slope-intercept form which is

y = mx + c

By = -Ax + C

y = \(\frac{-A}{C}\)x + \(\frac{C}{B}\)

So, we can imply that m =  \(\frac{-A}{C}\) = 0

A = 0

Putting this in eqn 1 we get,

-4A + 2B = C

0 + 2B = C

C = 2B

Hence, we conclude that values of A, B, and C will Ax + By = C be a horizontal line through the point (−4, 2) are ( 0, B, 2B)

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Your alternative hypothesis is a statement that directly contradicts the null hypothesis.

Since H0: p = 0.151 and you expect it to decrease

then Ha: p < 0.151

So your answer is e

The  line at the coffee shop during rush hour is 15 people long.

Given:

- 5 people arrive at the coffee shop each minute.

- Each person has to wait for 3 minutes to be served.

Since 5 people arrive each minute,  the rate of people entering the line is 5 people/minute.

Now, Each person has to wait for 3 minutes to be served.

So, Average length of line = Rate of people entering * Time for a person to be served

Average length of line = 5 people/minute * 3 minutes

Average length of line = 15 people

Therefore, on average, the line at the coffee shop during rush hour is 15 people long.

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Answer:

Coordinate of Checkpoint B is (-9,5)

Step-by-step explanation:

Here is an inserted image of the graph and coordinates.

Answer:(-9,5)

Step-by-step explanation:

Answer:

32+32÷32=32+1=33 is your answer

What are you trying to ask?

I might be able to answer the question correctly if you'd be more specific about the question.

Answer: 254.34

Step-by-step explanation:

The equation for area is: \(r^{2} * \pi\)

So you find  9 squared which is 81. Then, you multiply it by pi(using 3.14). This equals 254.34

Answer:

1/5 gallon left so A. would be the answer

Step-by-step explanation:

Using a chi-square table or calculator, we find that this probability is approximately 0.025.

To answer this question, we need to use the chi-square distribution, which is used to find probabilities for sample variances.

a) For a random sample of size n = 16, we use the formula:
Chi-Square = (n-1) * sample variance / population variance
Chi-Square = 15 * 7.442 / 5
Chi-Square = 22.326

The probability of a sample variance being greater than or equal to 7.442 is the same as the probability of a chi-square value of 22.326 or more. Using a chi-square table or calculator, we find that this probability is approximately 0.05.

The probability of a sample variance being less than or equal to 2.56 is the same as the probability of a chi-square value of 7.692 or less. Using a chi-square table or calculator, we find that this probability is approximately 0.025.

b) For a random sample of size n = 30, we use the formula:
Chi-Square = (n-1) * sample variance / population variance
Chi-Square = 29 * 7.442 / 5
Chi-Square = 41.256

The probability of a sample variance being greater than or equal to 7.442 is the same as the probability of a chi-square value of 41.256 or more. Using a chi-square table or calculator, we find that this probability is approximately 0.005.

The probability of a sample variance being less than or equal to 2.56 is the same as the probability of a chi-square value of 13.767 or less. Using a chi-square table or calculator, we find that this probability is approximately 0.025.

c) Comparing the probabilities in parts (a) and (b) for the sample variance being greater than or equal to 7.442, we see that the probability decreases with increased sample size. This is because as the sample size increases, the sample variance is more likely to be closer to the population variance, resulting in a smaller chi-square value.

d) Comparing the probabilities in parts (a) and (b) for the sample variance being less than or equal to 2.56, we see that the probability remains the same regardless of sample size. This is because a smaller sample variance is always more likely than a larger one, regardless of the sample size.

In a normal population with a known mean (µ) of 75 and variance (σ²) of 5, we want to find the approximate probability that the sample variance is greater than or equal to 7.442 and less than or equal to 2.56 for random samples of size n=16 and n=30.

a) For a random sample of size n=16, the chi-square distribution with degrees of freedom (df) = n-1 = 15 is used to calculate the probability.

b) For a random sample of size n=30, the chi-square distribution with degrees of freedom (df) = n-1 = 29 is used to calculate the probability.

c) Comparing the answers to parts (a) and (b) for the approximate probability that the sample variance is greater than or equal to 7.44, it is observed that the tail probability may either increase or decrease with an increased sample size, depending on the underlying distribution of the population.

d) Comparing the answers to parts (a) and (b) for the approximate probability that the sample variance is less than or equal to 2.56, it is observed that the tail probability may either increase or decrease with an increased sample size, again depending on the underlying distribution of the population.

The actual probabilities will depend on the specific calculations made using the chi-square distribution and the given parameters.

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Answer:

26.75

Step-by-step explanation:

You have to break up the whole shape into smaller ones.

To find the area of a triangle, you multiply the base x height and divide by 2.

The first smaller shape is the right triangle in the bottom left. To find the area you multiply 2(2), which is 4. Then divide by 2, which is 2.

The next shape is the square in the bottom middle. The area is simply 2(2)=4.

The next shape is the triangle in the bottom right. To find the area you multiply 2(5)/2=5.

The last shape is the triangle on top. The base is 3.5. The height though, you have to add the height for all 3 shapes on the bottom. 2+2+5=9. 3.5(9)/2=15.75

Finally, add up all of the areas. 2+4+5+15.75=26.75