The two lines below are parallel if the slope of the red line is 3 what is the slope for the green line

The circle graph that correctly represents the data in the table based on the percentage representation of the data values is the following option;

A percentage is a representation of a ratio of values expressed as a fraction of 100.

The count of the number of visitors at the New York City hotel = 120 + 24 + 45 + 30 + 81 = 300

The percentage of each category are therefore;

Walk = (120/300) × 100 = 40%

Bicycle = (24/300) × 100 = 8 %

Car Service= (45/300) × 100 = 15%

Bus = (30/300) × 100 = 10%

Subway = (81/300) × 100 = 27%

Therefore, the circle graph that represents the data has five sections labeled walk 40 percent, bicycle 8 percent, car service 15 percent, bus 10 percent, and subway 27 percent

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Answer:

Area:  24

Step-by-step explanation:

Answer: If I did it corcorrectlyect the answer is  41.57²

Hope it helped :D

The equation relating the variables in the table is y = (2/9)x

Let's look at the data points to see if there's a consistent pattern:

(18, 4)

(45, 10)

(63, 14)

(72, 16)

To find the relationship, let's examine the ratio of distance (y) to time (x) for each point:

4/18 = 2/9

10/45 = 2/9

14/63 = 2/9

16/72 = 2/9

As we can see, the ratio of distance to time is consistent and equal to 2/9 for all data points. This suggests a linear relationship between the time (x) and the distance (y).

We can express this relationship as:

y = (2/9)x

This equation shows the relationship between the time (x) and the distance (y) for the given data points.

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It is advisable that Lillian should build a walkway that is 7 feet wide.

The Area of the  pool is given by  = 20 feet x 10 feet = 200 square feet

Therefore,  total area of the pool and the walkway is given as  816 square feet. We can represent  the width of the walkway by x feet.

The Length = 20 + 2x feet

the Width = 10 + 2x feet

so the  area of the whole area, plus the walkway, is:

Area of the whole area = (20 + 2x) feet x (10 + 2x) feet = 200 + 40x + 4x^2 square feet

The  total area of the pool and the walkway is  given by 816 square feet,

Therefore, 200 + 40x + 4x^2 = 816

Simplify the  equation, we get:

Then, 4x^2 + 40x - 616 = 0

Divide both sides by 4, we

=x^2 + 10x - 154 = 0

let  solve for x by  using the quadratic formula:

x = (-b ± (b^2 - 4ac)) / 2a

a = 1, b = 10, and c = -154. substitutes the values, we get:

which is x = (-10 ± sqrt(10^2 - 4(1)(-154))) / 2(1) = (-10 ± 24) / 2

Therefore,  x = 7 or x = -17. let just ignore the negative, so the width of the walkway should be 7 feet.

It is advisable that Lillian should build a walkway that is 7 feet wide.

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Answer:

Step-by-step explanation:

jeez u had to wait an hour sorry but im not verry helpfull

The sum of 4/7 and -5/7 is -1/7, which represents a negative part of a whole, and is less than one-seventh of the total.

To add the fractions 4/7 and -5/7, we need to find a common denominator. Since the denominators are the same, we can simply add the numerators and put the result over the common denominator.

So, 4/7 + (-5/7) = (4 - 5)/7 = -1/7.

Therefore, the sum of 4/7 and -5/7 is -1/7. This means that if we have a group of objects that we divide into 7 equal parts, we would have 4 of those parts in one group, and then we would take away 5 of those parts, leaving us with a negative part, or -1/7 of the whole group.

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The area of regular pentagon with apothem 21.2 cm and side 30.8 cm is given by 1632.4 square cm.

We know that the area of a regular polygon with 'n' sides which has apothem of 'a' and side of length 's' is given by,

A = (n/2)*s*a

Here given regular polygon is a pentagon.

So the number of sides (n) = 5

Given that the length of each side of pentagon = 30.8 cm

so, s = 30.8 cm

The length of apothem is = 21.2 cm

So, a = 21.2 cm

So the area of the pentagon = (5/2)*21.2*30.8 = 1632.4 square cm.

Hence the area of the regular pentagon is 1632.4 square cm.

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The volume with the amount of soup that Jayla wants to make, which is 173.3 cubic inches.

In this problem, we are given the dimensions of the soup pot - a height of 8 inches and a radius of 3 inches. To find the volume of the soup pot, we will use the formula for the volume of a cylinder, which is:

V = πr²h

where V represents volume, π is a mathematical constant approximately equal to 3.14, r is the radius of the cylinder, and h is the height of the cylinder.

Substituting the given values into the formula, we get:

V = π(3)²(8) V = 72π

Now, we can use an approximation for π, such as 3.14, to get a numerical value:

V ≈ 226.19

Rounding to the nearest whole cubic inch, the volume of the soup pot is approximately 226 cubic inches.

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The graph of the system of linear equations y = -1/3x + 1 and x - y = 3 is attached

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

Y=-1/3x+1 and x-y=3

Express properly

So, we have

y = -1/3x + 1

x - y = 3

Next, we plot the graph using a graphing tool

The graph is added as an attacment

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A bar graph would be the best graphical representation of the teacher's data on the sports preferences of students in the school.

A bar graph is a visual representation of numerical data made up of rectangles (or bars) of changing width and height. The distance between each bar should be consistent throughout.

As per the question, a bar graph would show the frequency or percentage of students who prefer each sport in a clear and concise way, making it easy to compare and interpret the data.

Therefore, the most suitable graphical depiction of the teacher's data on the sports preferences of children at the school would be a bar graph.

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[tex]\qquad \textit{Amount for Exponential Growth} \\\\ A=P(1 + r)^t\qquad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{initial amount}\dotfill &507000\\ r=rate\to 2\%\to \frac{2}{100}\dotfill &0.02\\ t=years\dotfill &4\\ \end{cases} \\\\\\ A = 507000(1 + 0.02)^{4}\implies A=507000(1.02)^4 \implies A=y \approx 548793[/tex]

Answer:

The correct answer is x = -7 and x = 1. To solve this equation using the completing the square method, we first need to subtract 13 from both sides of the equation. We then need to add 49/4 to both sides of the equation. This gives us (x + 7/2)^2 = 49/4. We then take the square root of both sides of the equation to get x + 7/2 = 7/2 or x = -7. We can then solve for the other value of x by subtracting 7/2 from both sides of the equation, giving us x = 1.

A negative skewed distribution is a distribution where the majority of the data is on the higher end of the scale, with a few extreme low values that drag the tail of the distribution to the left.

A negative skewed distribution, also known as left-skewed, has a longer tail on the left side of the distribution, indicating that there are more values on the lower end of the scale. On the other hand, a positive skewed distribution, or right-skewed, has a longer tail on the right side, indicating more values on the higher end of the scale.

In a negative skewed distribution:
1. Draw a curve that starts high on the left side and gradually slopes down to the right with a long tail on the left side.
2. The mean is located to the left of the median.

In a positive skewed distribution:
1. Draw a curve that starts low on the left side and gradually slopes up to the right with a long tail on the right side.
2. The mean is located to the right of the median.

In both cases, the placement of the median and mean is affected by the skewness. In a negative skewed distribution, the mean is smaller than the median, while in a positive skewed distribution, the mean is larger than the median.

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The total number of books at the cost of Rupees 500 given out on that day is equal to 1,470

Cost of each copy of the book = Rupees 500

Total collection of the day = Rupees 7,35,000

Let us consider the total number of books printed for the launch is x.

Out of these x  books 30 were given as complementary copies to VIPs .

And the remaining were sold at a cost of Rs. 500 each.

So, the total amount collected from selling the books is,

Amount collected from selling = (x - 30) × 500

Amount collected from selling + Amount collected from complementary copies = Total collection

Substituting the given values, we get,

⇒(x - 30) × 500 + 30 × 0 = 7,35,000

Simplifying the equation, we get,

⇒ 500x - 15,000 = 7,35,000

⇒ 500x = 7,50,000

⇒ x = 1,500

Total number of books printed for the launch was 1,500.

Out of these, 30 were given as complementary copies.

Number of books sold = 1,500 - 30 = 1,470

Therefore, the total number of books given out on that day excluding complementary copies was 1,470.

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For a boxplot of number of aces olga served during each tennis match, the number of aces during about 75 percent of tennis matches is equal to 10.

A boxplot is a representative way of displaying the distribution of data based on a five number summary (minimum, first quartile [Q₁], median, third quartile [Q₃] and maximum). It includes the

We have a boxplot represents the number of aces olga served during each tennis match as present in above figure. It is a horizontal boxplot is plotted along a horizontal. See the above boxplot carefully. We have to determine the number of aces during about 75% of tennis matches. From the graph, The minimum Value= 0

Maximum value = 14

First quartile, Q₁= 3

Second quartile or median, Q₂ = 6

Third quartile, Q₃ = 10

The value less than 75% lies in region below Q₃. So, the value is equals to 10. Hence, required value is 10.

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Complete question:

the above figure complete the question. e following box plot shows the number of aces olga served during each tennis match. 0 2 4 6 8 10 12 14 16 18 20, and a horizontal boxplot is plotted along a horizontal axis marked from 0 to 20, in increments of 1. a left whisker extends from 0 to 3. the box extends from 3 to 10 and is divided into 2 parts by a vertical line segment at 6. the right whisker extends from 10 to 14. all values estimated.f olga served fewer than what number of aces during about 75\uu, percent of tennis matches?

For a data of the soft drinks preferences of people in three age groups, the probability that the person drinks lemon-lime result that they are between 21 and 40 is equals to [tex]\frac{6}{41 }[/tex].

The value of the probability of an event cannot be negative that is it lies between 0 to 1. Probability is used in decision making with calculated risk in case of uncertainty, like in real-life problems. The probability of an event is calculated by dividing the favourable response to the total possible outcomes. We have a table data which shows the soft drinks preferences of people in three age groups. So, total number of persons= 255

Number of persons who are over 40 years of age and dink Cola = 20

We have to determine probability that the person drinks lemon-lime that they are between 21 and 40.

Number of persons who are over between 21 and 40 of age and lemon-lime = 30

So, required probability = favourable outcomes divided by total possible outcomes [tex]= \frac{30}{255 } = \frac{6}{41} [/tex]

Hence, required probability is [tex]\frac{6}{41 }[/tex].

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Step-by-step explanation:

Generally the larger exponents go first

-2x^3 + 5x^2 -10

Answer:

2^2 + 4(1/2)(2)x = 16

4 + 4x = 16

4x = 12, so x = 3

If the lawyer Carson decides to charge 20% less in the rate of $369 per hour, then the new amount that Carson charge per hour will be $288.

The per-hour rate of the lawyer Carson is = $360,

To find new-rate, we convert the percentage 20% to a decimal which is 0.2,

We multiply the previous rate of $360 by 0.2 to get the amount of the reduction:

⇒ $360 × 0.2 = $72,

So, Carson has reduced his rate by $72 per hour.

To find the new rate, we subtract reduced-rate from the previous-rate:

We get,

⇒ $360 - $72 = $288,

Therefore, Carson's "new-rate" is $288 per hour.

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The IQR of 13 is the most accurate to use, since the data is skewed.

In statistics, a quartile is a type of quantile which divides the number of data points into four parts, or quarters, of more-or-less equal size.

Given is that a charity needs to report its typical donations received. The following is a list of the donations from one week -

5, 5, 6, 8, 10, 15, 18, 20, 20, 20, 20, 20, 20

For the given data, the interquartile range is 13. So, the IQR of 13 is the most accurate to use, since the data is skewed.

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Answer:

112ft

Step-by-step explanation:

To find the total surface area, we need to find the area of each face of the shape and add those area together.

So, for the rectangular faces, we multiply 4 by 8 to get 32.

For the triangle faces, we multiply 4 by 4 and divided by 2 which is 8. We can use the equation base*height/2 because  the 4ft lengths form a right angle, meaning four is the base and height.

There are three rectangular faces, and two triangular faces, so

(3*32)+(2*8)= 112 ft

The mean and the standard deviation of the sampling distribution of the sample mean  is equal to 4.57 and 0.69 respectively.

Population mean  'μ' = 4.57

Sample size 'n' = 7

Population Standard deviation 'σ' =1.82

Mean of the sampling distribution of the sample mean is equal to the population mean,

which is μ = 4.57.

So, μₓ = μ = 4.57.

Standard deviation of the sampling distribution of the sample mean also known as the standard error of the mean.

Using the formula we have,

σₓ = σ / √(n)

Substituting the given values, we have,

⇒ σₓ = 1.82 / √(7)

⇒ σₓ = 1.82 / 2.646

⇒ σₓ = 0.6878

⇒ σₓ ≈ 0.69

This implies,

The standard deviation of the sampling distribution of the sample mean is σₓ ≈ 0.69.

Therefore, the mean of the sampling distribution of the sample mean and

standard deviation of the sampling distribution of the sample mean  is equal to 4.57 and 0.69 respectively.

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The above question is not complete, the complete question is:

Easy Eats Diner is a large restaurant chain. After paying for a meal at Easy Eats Diner, customers are asked to rate the quality of the food as a 1, 2, 3, 4, or 5, where a rating of 1 means "not good" and 5 means "excellent". The customers' ratings have a population mean of μ = 4.57, with a standard deviation of σ=1.82. Suppose that we will take a random sample of n= 7 customers' ratings. Let x represent the sample mean of the 7 customers' ratings. Consider the sampling distribution of the sample mean x.

Complete the following. Do not round any intermediate computations. Write your answers with two decimal places, rounding if needed.

(a) Find μₓ(the mean of the sampling distribution of the sample mean).  ?

(b) Find σₓ (the standard deviation of the sampling distribution of the sample mean). ?

Answer:

54

Step-by-step explanation:

How to get the Surface Area?

The area of each face is found by squaring the length of the side. Multiply the area of one face by the number of faces to get the total surface area of the cube.

Hope This Helps :)

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Answer:  Price before tax: $ 1,425.89

+ Sales tax (7.5%): $ 106.94

Total price including tax: $ 1,532.83

Step-by-step explanation:

Multiply the price of your item or service by the tax rate. If you have tax rate as a percentage, divide that number by 100 to get tax rate as a decimal. Then use this number in the multiplication process.

Find list price and tax percentage

Divide tax percentage by 100 to get tax rate as a decimal

Multiply list price by decimal tax rate to get tax amount

Add tax amount to list price to get total price

The percentage of the variability does the model accounts for with the data is equals to the 40%.

We have an article in wear (1992, vol. 152, pp. 171-181), x = oil viscosity, y = wear volume and we have a table consists data values of x and y.

the simple linear regression model, is represented as

[tex]y = \beta_0 + \beta_1x [/tex]

where,

[tex]\beta_0 [/tex]

= intercept

[tex]\beta_1[/tex]

= slope

The above shows all calculations of these variables.

Hence, required value is 40%.

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To exceed their goal by over $6800, the seniors need to earn at least $550 + $6800 = $7350.

The number of advance tickets as x, and the number of at-the-door tickets as y.

The revenue from advance tickets will be 4x, and from at-the-door tickets, 5y.

Our goal is to find a combination of x and y such that:

4x + 5y >= 7350

x + y <= 250

An optimal proposal is to sell 170 advance tickets and 80 at-the-door tickets. This satisfies both constraints:

4(170) + 5(80) = 680 + 400 = 1080, which is $1080 above the desired profit.

170 + 80 = 250, which is within the maximum number of students.

By selling 170 advance tickets and 80 at-the-door tickets, the seniors will exceed their goal by $1080 and still accommodate the estimated attendance.

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Ryan thus walked a distance of 1.8375 miles.

Let d be the distance between Ryan's house and his friend's house.

According to the problem, Ryan went to his friend's house at a speed of 3 miles per hour, which equals d/3 hours.

Ryan rode his bike home at 7 miles per hour, which meant it took him d/7 hours.

We can use the following equation because the round trip took 1.75 hours:

d/3 + d/7 = 1.75

To calculate d, first, simplify the equation by locating a common denominator:

(7d + 3d) / (3 x 7) = 1.75

10d / 21 = 1.75

When we multiply both sides by 21, we get:

10d = 1.75 x 21

10d = 36.75

When we divide both sides by 10, we get:

d = 3.675

The distance between Ryan's residence and his friend's house is thus 3.675 miles. Ryan walked to his friend's house and returned home on the same route, thus he walked the same distance as he rode the bike, which is d/2 = 1.8375 miles.

Ryan thus walked 1.8375 miles.

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Answer: $26.865 rounded to nearest hundredth = $26.87

Step-by-step explanation: So, firstly, Vera's favorite apples are $1.99 per pound. In all, she brought 13.5 pounds of apples.

⬇️

$1.99 the price of apples per pound multiplied by 13.5 pounds of all the apples she brought is equal to $26.865 rounded to the nearest hundredth is $26.87.

I hope this helps! If it's wrong just let me know! I tried my best <3

Answer:

The answer is A, you have to simplify in order to solve this equation.