A community built the sandbox action in the playground section at one of those who park the area of the playground section is 1,675 square feet. It is 100 square feet more than 4. 5 times the area of the sandbox section. Write an expression and what is the are of the sandbox section?

Answers

Answer 1

The area of the sandbox section is 286.4 square feet.

Given that the area of the sandbox and playground together is 1675 square feet.

Let A represents the area of the sandbox section.

It is 100 square feet more than 4. 5 times the area of the sandbox section.

So, we get an expression for the area of the playground section:(100 +4.5A).

Then the total area would be,

A + (100 + 4.5A) = 1675

We solve above equation for A.

A + 4.5A = 1575

5.5A = 1575

A = 1575/5.5

A = 286.4

Thus, the area of the sandbox section is about 286.4 square feet.

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Related Questions

What is 3/4 and 5/3 with a denominator of 12

Answers

Answer: 20/12 and 4/12

Step-by-step explanation:

Answer:

Step-by-step explanation:

1) .75 x 3 = 9/122) 1.6667 x 3 = 20/12

it takes bill 2 hours longer to do a certain job than it takes cindy. they worked together for 2 hours, then cindy left and bill finished the job in 1 hour. how long would it take each of them to do the job alone

Answers

It takes Cindy 1 hour to do the job alone and Bill 3 hours to do the job alone.

Let x be the time it takes Cindy to do the job alone, in hours. Then, it takes Bill x + 2 hours to do the job alone.

During the first 2 hours, when they worked together, they did 2/x + 2/(x + 2) = 1/2 of the job.

Bill finished the job in 1 hour after Cindy left, so he did 1/x + 2 = 1/3 of the job during that hour.

We can now set up a system of two equations to solve for x:

2/x + 2/(x + 2) = 1/2 (1)

1/x + 2 = 1/3 (2)

From equation (1), we can find x + 2:

2/x + 2/(x + 2) = 1/2

2x + 4 = x(x + 2)

2x + 4 = x^2 + 2x

x^2 - 2x + 4 = 0

(x - 4)(x - 1) = 0

x = 4 or x = 1

Since x represents the time it takes Cindy to do the job, we reject x = 4 and keep x = 1.

Substituting x = 1 into equation (2), we find:

1/1 + 2 = 1/3

3 = 3

So, it takes Cindy 1 hour to do the job alone and Bill 3 hours to do the job alone.

Therefore, It takes Cindy 1 hour to do the job alone and Bill 3 hours to do the job alone.

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It takes Cindy 1 hour to do the job alone and Bill 3 hours to do the job alone.

Let x be the time it takes Cindy to do the job alone, in hours. Then, it takes Bill x + 2 hours to do the job alone.

During the first 2 hours, when they worked together, they did 2/x + 2/(x + 2) = 1/2 of the job.

Bill finished the job in 1 hour after Cindy left, so he did 1/x + 2 = 1/3 of the job during that hour.

We can now set up a system of two equations to solve for x:

2/x + 2/(x + 2) = 1/2 (1)

1/x + 2 = 1/3 (2)

From equation (1), we can find x + 2:

2/x + 2/(x + 2) = 1/2

2x + 4 = x(x + 2)

2x + 4 = x² + 2x

x² - 2x + 4 = 0

(x - 4)(x - 1) = 0

x = 4 or x = 1

Since x represents the time it takes Cindy to do the job, we reject x = 4 and keep x = 1.

Substituting x = 1 into equation (2), we find:

1/1 + 2 = 1/3

3 = 3

So, it takes Cindy 1 hour to do the job alone and Bill 3 hours to do the job alone.

Therefore, It takes Cindy 1 hour to do the job alone and Bill 3 hours to do the job alone.

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inferential statistics uses methods that take a result from a sample, extend it to a population, and measure the reliability of the result.

Answers

Inferential statistics uses methods that take a result from a sample, extend it to a population, and measure the reliability of the result.

Inferential records use measurements from the pattern of topics within the experiment to examine the remedy agencies and make generalizations about the larger populace of subjects. there are numerous varieties of inferential facts and every one is suitable for a particular research design and sample characteristics.

Inferential statistics is a department of statistics that makes the usage of diverse analytical equipment to attract inferences approximately the population information from pattern facts. aside from inferential information, descriptive records form another branch of information.

Statistical inference is the procedure of the usage of facts evaluation to deduce houses of an underlying distribution of opportunity. Inferential statistical evaluation infers homes of a populace, for instance through testing hypotheses and deriving estimates.

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Complete Question:

_______ statistics uses methods that take a result from a sample, extend it to a population, and measure the reliability of the result.

Unit 4 Lesson 10 Assignment Find the area of the isosceles trapezoid.

Answers

An isosceles trapezium is a trapezium in which the non-parallel sides are equal in measure

How large is an isosceles trapezoid?

There are various formulae for isosceles trapezoid area:

Given are the bases a,b, and height h: A = (a + b) * h / 2

Given the bases a,b, and c, determine h using the Pythagorean Theorem (h is the square root of c2 – (a-b)2/4) and A = (a + b) * h / 2

Given are the bases a,b, and angle: h = tan() * (a-b)2 / 4, then A = (a + b) * h / 2.

Given: base a, leg c, and angle If h is defined as c * sin() and b is defined as a – 2 * c * cos(), then A = (a + b) * h / 2

An isosceles trapezoid (also known as an isosceles trapezium by the British; Bronshtein and Semendyayev 1997, p. 174) is a trapezoid with identical base angles on both the left and right sides.

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4.2.AP-12
Question Help
The bakery manager at the grocery store marks down the price of bread by 18%. Shanaya purchases 5 loaves of bread.
The expression 5(b-0.18b) represents the price of 5 loaves of bread. Write an equivalent expression and write the
property that justifies your answer.
The expression 5(b-0.18b) is equivalent to
The
a
was used to rewrite the expression.

Answers

The equivalent expression is 5b-0.9b.

What is expression?

Mathematical expressions consist of at least two numbers or variables, at least one arithmetic operation, and a statement. It's possible to multiply, divide, add, or subtract with this mathematical operation. Unknown variables, integers, and arithmetic operators are the components of an algebraic expression. There are no symbols for equality or inequality in it.

As per the given information in the question,

Discount on the price of bread = 18%

Total loaves of bread by Shanaya = 5

Let the price of bread is b.

Then, the expression for the statement will be,

=>5 (b - 0.18b)

The equivalent expression for the statement will be,

=>5b - 0.9b

Hence the equivalent expression is 5b-0.9b.

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Which equation would calculate the amount of wrapping paper, in square centimeters, needed to completely cover the cylinder shown?

a cylinder with the diameter labeled 2.4 centimeters and the height labeled 3.8 centimeters

SA = 2π(1.2)2 + 1.2π(3.8)
SA = 2π(2.4)2 + 2.4π(3.8)
SA = 2π(1.2)2 + 2.4π(3.8)
SA = 2π(2.4)2 + 1.2π(3.8)

Answers

The amount of wrapping paper, in square centimeters, needed to completely cover the cylinder is SA = 2π(1.2)² + 1.2π(3.8).

How to find the lateral surface area of a cylinder?

The lateral surface area of a cylinder is also called the curved surface area of the cylinder.

Suppose that Radius of the considered cylinder = 'r' units

Height of the considered cylinder = 'h' units

Then, the lateral surface area of that cylinder is:

[tex]S_L = 2\pi r h \: \rm unit^2[/tex]

We are given that a cylinder with the diameter labeled 2.4 centimeters and the height labeled 3.8 centimeters.

Therefore, we have;

Diameter = 2.4 cm

Height = 3.8 cm

Radius = 1.2 cm

So, The total area is;

SA = 2π(1.2)² + 1.2π(3.8).

The amount of wrapping paper,needed to completely cover the cylinder

SA = 2π(1.2)² + 1.2π(3.8).

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Answer: The answer you're looking for is A.

Step-by-step explanation: 7th-grade math exam used the answer from the person above and they were right!

Which are solutions to the following inequality

Answers

The solution of the inequality is given by x < -1

What is Inequality?

Mathematical expressions with inequalities are those in which the two sides are not equal. Contrary to equations, we compare two values in inequality. Less than (or less than or equal to), larger than (or greater than or equal to), or not equal to signs are used in place of the equal sign.

The stages of resolving inequities are as follows:

Write the inequality as an equation in step one.Solve the problem for one or more values in step two.Represent all of the values on the number line in step three.Use open circles to indicate all omitted values on the number line.Identify the intervals in step five.In the inequality, insert a random number drawn from each interval, and then determine if the inequality is met.The solutions are the intervals that are satisfied.

The inequality is described as :

-2(3x - 5) > 16

⇒ -6x + 10 > 16

⇒ -6x > 6

⇒ x < -1

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The polynomial (x – 2)(x^2 + 1) – x(x – 3) can be written in the form: ax^3 + bx^2 + cx + d where a, b, c, and d are constants. What are the values of a, b, c, and d? Show your work.

Answers

Therefore the polynomial (x – 2)(x^2 + 1) – x(x – 3) can be written in the form: ax^3 + bx^2 + cx + d = x^3 - 2x^2 + 4x - 6 where a = 1, b = -2, c = 4, and d = -2

What is the polynomial after simplification

The polynomial (x – 2)(x^2 + 1) – x(x – 3) can be written as:

ax^3 + bx^2 + cx + d = (x - 2)(x^2 + 1) - x(x - 3)

To find the values of a, b, c, and d, we need to multiply out the binomials and combine like terms. Using the distributive property, we get:

ax^3 + bx^2 + cx + d = x^3 - 2x^2 + x^2 + x - x^2 + 3x - 2

Now we can combine like terms:

ax^3 + bx^2 + cx + d = x^3 - 2x^2 + 4x - 2

So we can see that:

a = 1, b = -2, c = 4, and d = -2

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susie buys 3 pieces of pizza and 2 cookies for a total of 6.50. the next day she buys 1 piece of pizza and 1 cookie for 2.50. how much does a cookie cost

Answers

Answer:

  1.00

Step-by-step explanation:

You want to know the price of a cookie when 3 pizza slices and 2 cookies cost 6.50, while 1 pizza slice and 1 cookie costs 2.50.

Elimination

We can write equations for the costs as ...

  3p +2c = 6.50

  p + c = 2.50

Multiplying the second equation by 3 and subtracting the first equation eliminates the variable p.

  3(p +c) -(3p +2c) = 3(2.50) -(6.50)

  3p +3c -3p -2c = 7.50 -6.50 . . . . . . . eliminate parentheses

  c = 1.00 . . . . . . . . . simplify

The cost of a cookie is 1.00.

a store is selling 5 types of hard candies: cherry, strawberry, orange, lemon and pineapple. how many ways are there to choose:

Answers

The number of ways to choose 32 candies is 58,905 ways.

How many combinations of r items are there from n different items?

A combination is a way of choosing items from a collection in which the order of selection does not matter.

The number of combinations of n items taken r at a time is determined by the following formula:

[tex]^{(n+r-1)} C_{(r-1)}[/tex]

where:

n represents the total number of items; and

r represents the number of items being chosen at a time.

In this case, a store is selling 5 types of candies, which means the number of types of items or r = 5. And being questioned the number of ways to choose 32 candies, which means the number of items or n = 32.

So, n = 5 and r = 32. Now, substitute both values into the formula:

= [tex]^{(n+r-1)} C_{(r-1)}[/tex]

= [tex]^{(32+5-1)} C_{(5-1)}[/tex]

= [tex]^{36} C_{4}[/tex]

= [tex]\frac{36!}{4!(36-4)!}[/tex]

= 58,905

Hence, the number of ways to select 32 candies is 58,905.

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Although part of your question is missing, you might be referring to this full question: A store is selling 5 types of hard candies: cherry, strawberry, orange, lemon and pineapple. How many ways are there to choose 32 candies?

Subtract the two polynomials:

(3x^5-2x^4-5)-(2x^4-10)

Answers

Answer:

3x5−4x4−x2+5

Simplify the expression.

if the mean number of people who attended three basketball games was 8,242, what was the total attendance at the three games?'

Answers

If the mean number of people who attended three basketball games was 8,242, that means the sum of the number of people who attended all three games is equal to 8,242 multiplied by the number of games, which is 3.

What does math mean?

The sum of all values divided by the total number of values determines the mean (also known as the arithmetic mean, which differs from the geometric mean) of a dataset. The term "average" is frequently used to describe this measure of central tendency.

Total attendance = mean attendance * number of games

Total attendance = 8,242 * 3

Total attendance = 24,726

So the total attendance at the three games is 24,726 people.

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Audrey's math teacher finds that there's roughly a linear relationship between the amount of time students spend on their homework and their weekly quiz scores. This relationship can be represented by the equation y=59+6xy=59+6x, where yy represents the expected quiz score and xx represents hours spent on homework that week. What could the number 59 represent in the equation?

Answers

The number 59 in the equation y = 59 + 6x represents the y-intercept of the equation.

The y-intercept is the point at which the line of best fit (in this case, the line representing the relationship between time spent on homework and quiz scores) crosses the y-axis. In other words, it is the value of y when x = 0.

In this equation, when x = 0, y = 59, which means that even if a student spends 0 hours on homework that week, their expected quiz score would be 59. This value could represent a baseline score or an average score for students who spend no time on homework.

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suppose you have 5 blue marbles and 5 red marbles in a bag. you pull out one marble, which may be blue or red and do not replace it. what is the probability that the second marble will be red?

Answers

Therefore , the solution of the given problem of probability comes out to be  probability that the second marble will be red  = 0.5.

What exactly does the probability process entail?

Calculating the likelihood that a statement is true or that an event will occur is the focus of the branch of mathematics known as probability theory. Any number from 0 to 1, where 1 represents certainty and 0 normally represents possibility, may be used to represent chance. The likelihood that a particular event will occur is depicted in a probability diagram. Probabilities can be represented by the numbers 0 and 1, percentages with a range of 0% to 100%, and a small number of extra characters. the proportion of incidents that occurred among a set of equally likely possibilities out of all potential outcomes

Here,

(p = 5/10) First Blue

Blue II (p = 4/9)

Red 2 (p = 5/9)

Primary Red (p = 5/10)

Blue II (p = 5/9)

Fourth Red (p = 4/9)

Interestingly, if you observe the first marble and then put it back in, the outcome will remain the same (sampling with replacement). The second draw doesn't depend on the first.

=> Pr(B, R) = Pr(B)*Pr(R)

=>  (5/10), (5/10), (1/2), (1/2), and 1/4.

and

=>Pr(R, R) = Pr(R)*Pr(R)

=> (5/10), (5/10), and (1/2).

(1/2) = 1/4

Pr

R, R, or (B, R) = (1/4) + (1/4) = 1/2

Therefore , the solution of the given problem of probability comes out to be  probability that the second marble will be red  = 0.5.

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How do you find the domain of f for FX?

Answers

The domain of a function f(x) is the set of all values for which the function is defined, and the range of the function is the set of all values that f takes.

The domain of a function is defined as the set of inputs accepted by the function. A value for x is said to be in the domain of a function f if it successfully allows the production of a single value y using another value for x.

Consider the function y = f(x), which has the independent variable x and the dependent variable y.

A value for x is said to be in the domain of a function f if it successfully allows the production of a single value y using another value for x.

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Suppose you started at the point (4, 5). From there, you moved down 10 units, and left 8. At what coordinate would you be?

Answers

Answer:

(- 4, - 5 )

Step-by-step explanation:

a vertical move down means subtract 10 from the y- coordinate

a horizontal move left means subtract 8 from the x- coordinate

(4, 5 ) → (4 - 8, 5 - 10 ) → (- 4, - 5 ) ← end point

State the minimum monthly income and hourly wage per worker needed to cover monthly expenses for the family in the photo. Then, explain how to calculate the hourly wage based on the monthly income and state the hourly wage. Assume that each full-time worker works four 40 hour work weeks per month and each part-time worker works four 40 hour weeks per month.

Answers

Answer

Full-time worker minimum monthly income = US$ 7,846.40

Part-time worker minimum monthly income  = US$ 7,846.40

Full-time worker hourly wage = US$ 49.04

Part-time worker hourly wage = US$ 98.08

Explanation:

1.Review the information

Monthly costs of a 2-adult and 3-children family in the Modesto metro area = US$ 5841

Full-time worker = 4 weeks of 40-hour per month

Part-time worker = 2 weeks of 40-hour per month

2. Let's calculate the minimum monthly income and hourly wage per worker

Full-time worker hourly wage = Monthly costs/160

Part-time worker hourly wage = Monthly costs/80

Full-time worker hourly wage = 5841/160

Part-time worker hourly wage = 5841/80

Full-time worker hourly wage = US$ 36.5

Part-time worker hourly wage = US$ 73

Full-time worker minimum monthly income = Hourly wage * 160

Part-time worker minimum monthly income  = Hourly wage * 80

Full-time worker minimum monthly income = US$ 5840

Part-time worker minimum monthly income  = US$ 5840

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A rocket is launched upward in the air. The height of the rocket t seconds after it is released is approximated by the function.
h=16t^2+96t+10
a) Find the number of seconds that it takes for the rocket to reach the ground.

b) find the number of seconds that it will take the rocket to be at its highest maximum height.

c) find the maximum height of the rocket.

Answers

Step-by-step explanation:

a) To find the number of seconds that it takes for the rocket to reach the ground, we need to find the value of t when h = 0. We can set h = 0 and solve for t:

0 = 16t^2 + 96t + 10

To solve for t we need to use the quadratic formula:

t = (-b ± √(b^2 - 4ac))/2a

Where:

a = 16, b = 96 and c = 10

t = (-96 ± √(96^2 - 41610))/2*16

t = (-96 ± √(9216 - 640))/32

t = (-96 ± √(8576))/32

t = (-96 ± 92.8)/32

So the rocket will take approximately 2.89 seconds to reach the ground.

b) To find the number of seconds that it will take the rocket to be at its highest maximum height, we need to find the value of t when the derivative of h is equal to 0.

h' = 32t + 96

h' = 0

32t + 96 = 0

t = -3

So the rocket will take approximately -3 seconds to be at its highest maximum height.

c) To find the maximum height of the rocket, we need to substitute the value of t from part b into the equation for h:

h = 16(-3)^2 + 96(-3) + 10

h = 169 + 96(-3) + 10

h = 144 - 288 + 10

h = -134

So the maximum height of the rocket is approximately -134 feet.


Which one of the following equations is correctly written in Standard Form?

Answers

2x + 5y =10.This is a equations is correctly written in Standard Form.

What is meant by Standard Form?

Ax+By=C is the typical form for linear equations involving two variables. A linear equation in standard form is, for instance, 2x+3y=5.Finding both intercepts of an equation in this format is rather simple (x and y).When resolving systems of two linear equations, this form is also incredibly helpful.Standard form refers to any number that can be expressed as a decimal number and falls within the range of 1.0 and 10.0 when multiplied by a power of 10.The equation's standard form, which is the widely recognized form, is represented by the standard form formula. For instance, the terms with a higher degree should be written first when writing a polynomial, and its coefficients must be expressed in integral form.

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geologists have an interest in the structure and the history of the earth. a geologist can go back in time by drilling deep into the ground, retrieving a core sample, estimating the ages of the various layers, and examining the composition. a timeline can be built of the entire area from where the core sample was drilled. a geologist may retrieve several core samples to confirm the history of the earth's structure in that sampled area. mountains, lakes, and unstable ground can easily impede a simple random sampling of a desired geographical area, therefore what is the most realistic sampling method that represents the actual drillings, comparisons, and scientific examinations of several core samples within the same geographical area?

Answers

The most realistic sampling method that represents the actual drillings, comparisons, and scientific examinations of several core samples within the same geographical area is Cluster Sampling technique.

In cluster sampling, the total population is divided into homogeneous groups known as clusters and a simple random sample of the groups is selected. The elements present in each cluster are then sampled like a sample. In other words we can say each cluster is represent a tiny population set. We have, geologists have an interest in the structure and the history of the earth. In this study, the whole population is divided into groups based on retrieving a core sample, estimating the ages of the various layers, and examining the composition. After that a timeline can be built of the entire area for drilling the core sample. So, each set work as small population i.e., clusters. The sampling technique which is used here to represent the actual drillings, comparisons, and scientific examinations of several core samples within the same geographical area is known as cluster sampling.

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Can anyone help me please:) your supposed to find out the values of x and y
2x+5y=12
4x+3y=-4​

Answers

Answer:

x = -4

y = 4

Step-by-step explanation:

2x + 5y = 12       Q1

4x + 3y = -4       Q2

Q1 * 2

4x + 10y = 24

-   Q2

7y = 28

y = 4

put y back into equation

2x + 5y = 12

2x + 5(4) = 12

2x + 20 = 12

2x = -8

x = -4

can you give answer for this
it's urgent please ​

Answers

I can give you 5 rational number

31/40, 33/40, 37/40, 39/40

You only have to give one more

What is the difference between 5,198 and 8,250

Answers

Answer: 3052

Step-by-step explanation: 8250 - 5198 = 3052

Find the total length in millimeters of a pipe 82 centimeters and another piece 260 millimeters

Answers

Answer:

Step-by-step explanation:

Total length = addition of the lengths of the two pipes

We know, 1cm= 10 millimeters

                Hence, 82 centimeters = 82*10 = 820 millimeters.

Total length therefore = 820 millimeters + 260 millimeters = 1080 millimeters.

The graph shows information about the last leg of a * 4 * 200 -meter relay for three relay teams. Team A's runner ran about 7.8 meters per second, Team B's runner ran about 7.8 meters per second, and Team C's runner ran about 8.8 meters per second.

Answers

From the graph, the following information is seen.

Team A speed is 4.17 meters per second.

Team B speed is 6.25 meters per second.

Team C speed is 8.3 meters per second.

What are coordinates in a graph?

The coordinates in a graph indicate the location of a point with respect to the x-axis and y-axis.

The coordinates in a graph show the relationship between the information plotted on the given x-axis and y-axis.

We have,

From the graph,

Pick two coordinates from each line.

Team A is the blue line.

(6, 50) and (10, 75)

Rate of change.

= (75 - 50) / (10 - 6)

= 25/6

= 4.17

Team B is the red line.

(6, 25) and (10, 50)

Rate of change.

= (50 - 25) / (10 - 6)

= 25/4

= 6.25

Team C is the green line.

(6, 25) and (12, 75)

Rate of change.

= (75 - 25) / (12 - 6)

= 50/6

= 8.3

Thus,

Team A runs about 4.17 meters per second.

Team B runs about 6.25 meters per second.

Team C runs about 8.3 meters per second.

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A sphere has a volume of 36 3.14in³ find the radius of the sphere, use 3.14 for PI

Answers

The radius of the sphere is, 3 inch.

What is an expression?

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

A sphere has a volume of 36 π in³.

We know that;

⇒ Volume of sphere = 4/3 πr³

Here, A sphere has a volume of 36 π in³.

Hence, We get;

⇒ 4/3 πr³ = 36π

⇒ 4/3 r³ = 36

⇒ r³ = 36 × 3 / 4

⇒ r³ = 27

⇒ r = ∛ 27

⇒ r = 3 inch

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Which of the following types of graph is the best kind to use for analyzing how two variables are related?

Answers

Scatter plot is best for analyzing relationship between two variables.

What is scatter ?

In statistics and data visualization, a scatter plot (also called a scatter graph or scatter chart) is a type of graph used to display the relationship between two sets of data. It is a two-dimensional plot that uses Cartesian coordinates to display values for typically two variables for a set of data.

A scatter plot is a graph that uses dots to represent values for two numeric variables. The position of each dot on the horizontal and vertical axis indicates values for an individual data point. Scatter plots are a useful tool for visualizing the relationship between two variables, such as how changes in one variable may be associated with changes in another variable.

Scatter plots can show the following types of relationships:

Positive correlation: as one variable increases, the other variable increases.

Negative correlation: as one variable increases, the other variable decreases.

No correlation: there is no relationship between the two variables.

Non-linear relationship: the relationship between the two variables is not linear.

Scatter plot is best for analyzing relationship between two variables.

Complete Question: Which of the following types of graph is the best kind to use for analyzing how two variables are related?

Line Graphs, Bar Graphs, Pie Charts, Scatter Plots

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Why is the distance between two points always represented by a positive number?

Answers

Because the x and y coordinates are squared before being added together, the formula will always result in a positive number.

In math, what is a distance?

The length of the segment of the line that connects the supplied two points determines the distance between them.

                     The shortest segment of a line connecting a point to a line will have a length equal to the distance between them.

Why does the distance formula work?

The Pythagorean Theorem, which states that a side plus a side plus a side equals a side equals a side equals a side equals a side equals a side equals a side equals a side equals a side, is where the Distance Formula actually originates (known as the legs of a right triangle).

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the happy valley kennel has 4 chickens, 2 dogs, and 5 cats. (some people in happy valley like to keep chicke~ as pets!) in how many ways can the 11 animals be placed in a row of 11 cages, such that all of the arumals of each type are in adjacent cages?

Answers

There are 34560 ways can the 11 animals be placed in a row of 11 cages, such that all of the animals of each type are in adjacent cages.

Probability can be defined as the ratio of the number of favorable outcomes to the total number of outcomes of an event.

Probability(Event) = Favorable Outcomes/Total Outcomes = x/n

As per the question, the happy valley kennel has 4 chickens, 2 dogs, and 5 cats.

Now calculate the number of ways in which the animals are placed in a row in the adjacent cages is:

=4!*2!*5!*3!=4*3*2*1*2*15*4*3*2*1*3*2*1=34560 ways

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Solve the following equation by first writing the equation in the form a x squared = c: t squared minus 49 = 0.

Answers

Answer:The quadratic equation here in terms of the variable c is given by: Now on subtracting 15 from both the sides of the equation we have: Hence, on comparing the equation with: we have: Now on taking the square root on both the sides of the equation we have: Advertisement. cheyennebaesa41. T^2 - 49 =0. t^2=49.

Step-by-step explanation:

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