(Q3) a=3.5 cm, b=√18 cm, c=6 cmThe triangle is a(n) _____ triangle.

Answers

Answer 1

Based on the given side lengths a=3.5 cm, b=√18 cm (which is approximately 4.24 cm), and c=6 cm, the triangle is an scalene triangle.

Triangles are described in terms of their sides and angles in geometry. A closed planar three-sided polygon shape with three sides and three angles is known as a triangle. The lengths of the sides of a scalene triangle vary. They are not equal, and the angles have three measurements. However, it still has a 180° angle sum, just like all triangles.

A scalene triangle is a triangle with three different side lengths and three different angle measurements. The total of all internal angles, however, is always equal to 180 degrees. As a result, it satisfies the triangle's condition of angle sum.

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Related Questions

Complete this questions with answers from parts A to C and I will give u brainlist.

Answers

The lowest angle of elevation at which the astronomer can observe the star is 20.8°

We know that the angle of elevation is nothing but the angle between the horizontal line of sight and the straight line to a given object.

In this scenario, let us ssume that θ be an angle of elevation.

Since an astronomer is in the middle of the field,the 100 value is split in half.

The field is surrounded by the trees 20 m tall and the tripod holding the telescpoe 1 m above the ground.

This means that the vertical distance is 19 m and the horizontal distance is 50 m.

Consider the tangent of angle θ

tan(θ) = opposite side of angle θ / adjacent side of angle θ

tan(θ) = 19/50

tan(θ) = 0.38

θ = arctan(0.38)

θ = 20.8°

This is the angle of elevation.

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Paul is purchasing tickets to a play. The total cost, C, of purchasing n tickets can be found using the equation C = 12.25n + 3.75. Which statements are true?


(A) Each ticket costs $3.75.


(B) Each ticket costs $12.25.


(C) The one-time processing fee costs $3.75.


(D) The one-time processing fee costs $12.25.

Answers

The true statements are:

Each ticket costs $12.25. (option b)

The one-time processing fee costs $3.75. (option c)

What are the true statements?

A linear equation is an equation with a single variable raised to the power of one.

y = mx + c

m = variable cost

c = fixed cost

Fixed cost is a cost that remains constant regardless of the number of tickets bought. Variable cost is a cost that changes with the number of tickets bought.

C = 12.25n + 3.75

Where:

12.25 - variable cost - cost of each ticket. This cost increases with the number of tickets that is purchased. As more tickets are purchased, the cost increases by 12.25.

3.75 - fixed cost - one time online processing fee. This is because this payment is made once and it does not increase with the number of tickets bought.

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IS ABC = DEF IF SO , NAME THE CONGRUENCE POSTULATE THAT APPLIES .

Answers

The congruence postulate that applies is C. Congruent - SSS

What are congruent triangles?

When the properties (i.e length of sides and/or internal angles) of two or more triangles are equal, then it can be said that they are congruent. This congruent relations can be expressed using either of the following postulates: Angle-Side-Side, Side-Angle-Side (SAS), Angle-Angle-Side (AAS), Side-Side-Side (SSS) etc.

Considering the given triangles ABC and DEF, it is was given that:

AB ≅ DE

BC ≅ EF

CA ≅ FD

Therefore, it can be concluded that the two triangles are congruent by Side-Side-Side (SSS) relations. So that the required congruence postulate that applies is C. Congruent - SSS

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Solve the system by substitution.
y = -8x – 49
y = -x

Answers

Answer: x=-7 y=7

Step-by-step explanation:

Is it true that If A is a 3×3 matrix, then det5A = 5detA.

Answers

Yes, it is true that if A is a 3×3 matrix and K is a scalar, then det(KA) = [tex]K^3[/tex] det(A).

To see why this is true, let's use the definition of the determinant of a matrix. For a 3×3 matrix A with entries[tex]ka_{11}, ka_{12}, ka_{13}, ka_{21}, ka_{22}, ka_{23}, ka_{31}, ka_{32}, ka_{33}[/tex], the determinant det(A) is given by:

[tex]det(A) = a11(a22a33 - a23a32) - a12(a21a33 - a23a31) + a13(a21a32 - a22a31)[/tex]

Now consider the matrix KA, where K is a scalar. The entries of KA are simply the entries of A multiplied by K. In other words, the entries of KA are:

[tex]ka_{11}, ka_{12}, ka_{13}, ka_{21}, ka_{22}, ka_{23}, ka_{31}, ka_{32}, ka_{33}[/tex]

Using the same formula as above, we can calculate the determinant of KA:

[tex]det(KA) = (K a_{11})(K a_{22})(K a_{33}) - (K a_{11})(K a_{23})(K a_{32}) - (K a_{12})(K a_{21})(K a_{33})+ (K a_{12})(K a_{23})(K a_{31}) + (K a_{13})(K a_{21})(K a_{32}) - (K a_{13})(K a_{22})(K a_{31)[/tex]

Substituting in the entries of KA, we get:

[tex]det(KA) = (K a_{11})(K a_{22})(K a_{33}) - (K a_{11})(K a_{23})(K a_{32}) - (K a_{12})(K a_{21})(K a_{33})+ (K a_{12})(K a_{23})(K a_{31}) + (K a_{13})(K a_{21})(K a_{32}) - (K a_{13})(K a_{22})(K a_{31)[/tex]

Simplifying this expression, we get:

[tex]det(KA) = K^3 (a_{11} a_{22}a_{33} - a_{11}a_{23}a_{32} - a_{12}a_{21}a_{33} + a_{12}a_{23}a_{31} + a_{13}a_{21}a_{32} - a_{13}a_{22}a_{31})[/tex]

But this is just the same as[tex]K^3[/tex] times the determinant of A! Therefore, we have shown that det(KA) =[tex]K^3[/tex]det(A) for any 3×3 matrix A and scalar K.

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Question

Is it true that If A is a 3×3 matrix, then det (KA) = K^3 * det(A)

another chool is also cosidering changing thier pizza vendor. the school selects seperate random samples of 50 freshman, 50 sophiomres, 50 jjuniors, and 50 seniors. each student tries

Answers

If another school is considering changing their pizza vendor, they may also select separate random samples of 50 freshmen, 50 sophomores, 50 juniors, and 50 seniors to gather feedback from the students. By doing so, they can obtain a representative sample of the entire student population and ensure that each grade level is equally represented.

This will provide valuable insight into the preferences and opinions of the students, allowing the school to make an informed decision on which pizza vendor to choose. It is important to consider the feedback of all students in the decision-making process to ensure that the majority of the student body is satisfied with the food options provided by the school.

Step 1: Select random samples of students from each grade level.
Step 2: Provide the new pizza to each student in the samples.
Step 3: Ask the students to evaluate the pizza based on taste and quality.
Step 4: Collect the feedback from all 200 students.
Step 5: Analyze the data to determine if the majority of students prefer the new pizza vendor.

Based on the analysis, the school can make an informed decision about whether to change their pizza vendor or not.

another school is also cosidering changing thier pizza vendor. the school selects seperate random samples of 50 freshman, 50 sophiomres, 50 jjuniors, and 50 seniors. each student tries

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If you spent $200 per month on lottery tickets, and you were very lucky and won
$100,000 once every 10 years, what would be your net wealth after 40 years?

Answers

I would be rich

$ 3904000 would be my net wealth

The value of net wealth after 40 years is,

= $304,000

What is Multiplication?

To multiply means to add a number to itself a particular number of times. Multiplication can be viewed as a process of repeated addition.

Given that;

When you spent $200 per month on lottery tickets, and you were very lucky and won $100,000 once every 10 years.

Hence, Total spent money in 10 years is,

= $200 x 10 x 12

= $24,000

And, Total earning in 10 years = $100,000

So, The value of net worth in 10 years = $100,000 - $24,000

                                                           = $76,000

Thus, The value of net wealth after 40 years is,

= 4 x 76,000

= $304,000

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This trapezoid represents the base of a right prism that has a surface area of 1280 square feet. The sum of the lengths of the legs of the trapezoid is 52 feet. What is the height of the prism?

Answers

Step-by-step explanation:

Let's call the shorter base of the trapezoid "b1", the longer base "b2", and the height "h". We can use the formula for the surface area of a right prism to set up an equation:

Surface area of prism = 2(base area) + (lateral area) = 1280

The base area is the area of the trapezoid, which is given by:

(base area) = (1/2)(b1 + b2)h

The lateral area is the area of the four rectangular faces of the prism, which are all congruent. Each face has an area equal to the product of the height and the length of one of the legs of the trapezoid, so the lateral area is:

(lateral area) = 4hl

where l is the length of one of the legs of the trapezoid.

Substituting these expressions into the formula for the surface area of the prism, we get:

2[(1/2)(b1 + b2)h] + 4hl = 1280

Simplifying and rearranging, we get:

h(b1 + b2) + 2hl = 1280

We also know that the sum of the lengths of the legs of the trapezoid is 52 feet, which means:

l1 + l2 = 52

But we can express l1 and l2 in terms of b1 and b2 using the formula for the area of a trapezoid:

(base area) = (1/2)(b1 + b2)h = (1/2)(l1 + l2)h

Simplifying, we get:

b1 + b2 = (l1 + l2)h

Substituting this into the previous equation, we get:

h[(l1 + l2)h] + 2hl = 1280

Simplifying, we get:

h^2(l1 + l2) + 2hl = 1280

Substituting l1 + l2 = 52, we get:

h^2(52) + 2hl = 1280

This is a quadratic equation in h. We can solve it using the quadratic formula:

h = [-2l ± sqrt(4l^2 + 4h^2(52)(1280 - 2hl))] / 2(52)

Simplifying and factoring out a 2, we get:

h = [-l ± sqrt(l^2 + h^2(1280 - 2hl))] / 52

We have two possible solutions for h, but one of them is negative, which doesn't make sense in the context of the problem. So we can discard the negative solution and focus on the positive one:

h = [-l + sqrt(l^2 + h^2(1280 - 2hl))] / 52

We don't know the exact value of h yet, but we can use this equation to set up a system of equations that we can solve for h. Specifically, we can use the fact that the legs of the trapezoid add up to 52 feet to solve for l in terms of b1 and b2:

l = 52 - (b1 + b2)

Substituting this into the equation for h, we get:

h = [-l + sqrt(l^2 + h^2(1280 - 2hl))] / 52

h = [-52 + (b1 + b2) + sqrt((52 - (b1 + b2))^2 + h^2(1280 - 2h(b1 + b



Barbara built a woodshed. She

made the base of the woodshed in

the shape of the drawing. What is

the area of the base of Barbara's

woodshed? Include the unit.


12 ft

6 ft

11 ft

7 ft

Answers

The area of the base of Barbara's woodshed is 72 square feet.

To find the area of the base of Barbara's woodshed, we need to know the shape of the base. In this case, the base is in the shape of a rectangle. A rectangle is a four-sided figure with opposite sides parallel and equal in length.

To calculate the area of a rectangle, we need to multiply its length by its width. In this case, the length of the rectangle is 12 feet, and its width is 6 feet. So, the area of the base of the woodshed is:

Area = Length x Width

Area = 12 ft x 6 ft

Area = 72 square feet

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Complete Question:

Barbara built a woodshed. She made the base of the woodshed in the shape of the drawing. What is the area of the base of Barbara's woodshed? Include the unit. When the dimensions are given as 12 ft,6 ft, 11 ft and 7 ft.

For what values of a and m does f(x) have a horizontal asymptote at y = 2 and a vertical asymptote at x = 1?

f (x) = StartFraction 2 x Superscript m Baseline Over x + a EndFraction
a = –1, m = 0
a = 1, m = 0
a = –1, m = 1
a = 1, m = 1

Answers

For a = 1 and m = 1 does f(x) have a horizontal asymptote at y = 2 and a vertical asymptote at x = 1.

To find the values of a and m that give the function f(x) a horizontal asymptote at y = 2 and a vertical asymptote at x = 1, we need to analyze the behavior of the function as x approaches 1 and as x goes to infinity.

When x approaches 1 from the left and right sides, the denominator of f(x) approaches 0, so there is a vertical asymptote at x = 1. To have a vertical asymptote at x = 1, the numerator of f(x) cannot approach 0 as x approaches 1, so m must be greater than or equal to 1.

When x goes to infinity or negative infinity, the function f(x) approaches 2, which means there is a horizontal asymptote at y = 2. To have a horizontal asymptote at y = 2, the degree of the numerator must be equal to or less than the degree of the denominator. The degree of the numerator is m, and the degree of the denominator is 1.

So, the values of a and m that give f(x) a horizontal asymptote at y = 2 and a vertical asymptote at x = 1 are:

a = 1, m = 1

Substituting a = 1 and m = 1 into f(x), we get:

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

which has a vertical asymptote at x = 1 and a horizontal asymptote at y = 2.

Therefore, the answer is a = 1, m = 1. The other values of a and m do not give a vertical asymptote at x = 1 and/or a horizontal asymptote at y = 2.

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Answer:

CCCCCCCC

Step-by-step explanation:

Edg 2023

a population numbers 1,872 organisms initially and increases by 1.6% each year. suppose p represents population, and t the number of years of growth. write an exponential model to represent this situation.

Answers

The exponential model for this situation is: P(t) = 1,872(1 + 0.016)^t


To write an exponential model representing the given situation, we'll use the formula: P(t) = P₀(1 + r)^t, where P(t) is the population at time t, P₀ is the initial population, r is the growth rate, and t is the number of years.

Where p is the population at any given year t, 1,872 is the initial population, and 1.6% increase is represented by multiplying 1.016 to the power of t. This model assumes continuous and unrestricted growth of the population.

So, the exponential model for this situation is:

P(t) = 1,872(1 + 0.016)^t

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How many non-isomorphic simple graphs are there on n vertices when n is 2? 3? 4? and 5?

Answers

There will be 1, 2, 6, 21 non-isomorphic simple graphs for 2, 3, 4 and 5 vertices.

What are non-isomorphic simple graphs?

A non-isomorphic simple graph is a graph that is distinct from another graph, even if the two graphs have the same number of vertices and edges, and the same connectivity pattern. In other words, two graphs are non-isomorphic if they cannot be transformed into each other by a relabeling of their vertices.

For a small number of vertices, we can enumerate all non-isomorphic simple graphs by hand.

For n = 2, there is only one possible graph, which is the edge connecting the two vertices.

For n = 3, there are only two possible graphs: a triangle (complete graph on 3 vertices) and a single edge with an isolated vertex.

For n = 4, there are six possible graphs:

Complete graph on 4 vertices

Cycle graph on 4 vertices

Complete bipartite graph K2,2

Graph with a central vertex adjacent to all other vertices

Graph with two vertices of degree 3 and two vertices of degree 1

Graph with one vertex of degree 3 and three vertices of degree 1

For n = 5, there are 21 possible graphs, which can be generated by adding edges to the graphs for n = 4.

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A survey question asked of unmarried men was, "What is the most important feature you consider when deciding to date somebody?". The results were found to depend on whether the interviewer was male or female. This is an example of

Answers

This is an example of interviewer bias where the gender of the interviewer may have impacted the replies of the unmarried males in the poll.

This is an example of interviewer bias, where the gender of the interviewer may have influenced the responses of the unmarried men in the survey. The results may not accurately reflect the true opinions of the participants as their answers could have been affected by their desire to impress or please the interviewer.

This situation is an example of response bias, specifically interviewer bias, which occurs when the respondent's answer is influenced by the gender or characteristics of the interviewer, rather than their true preferences or opinions.

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The graph below shows where the two functions y = f(x) and y = g(x) intersect. What are the solutions of the equation f(x) = g(x)?
A. -3, 2
B. -3, 0, 2
C. -3, -8, -4, 2
D. 0, -3

Answers

The solutions of the equation f(x) = g(x) include the following: B. -3, 0, 2, -4.

What is a point of intersection?

In Mathematics and Geometry, a point of intersection simply refers to the location on a graph where two (2) lines intersect or cross each other, which is primarily represented as an ordered pair containing the point that corresponds to the x-coordinate (x-axis) and y-coordinate (y-axis) on a cartesian coordinate.

By critically observing the graph of the lines representing the given system of equations, we can reasonably and logically deduce that the correct solution set lies in both Quadrant II and IV and it is denoted by the point of intersection of both the x-coordinate (x-axis) and y-coordinate (y-axis), which is given by this ordered pair (-3, 0) and (2, -4).

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Macy makes a fruit punch by mixing green apple juice and carrot juice.
For every 2
cups of carrot juice, she uses 4
cups of green apple juice.

Answers

The unit rate of the juice is 0.5 carrot juice per green apple juice

Calculating the unit rates of the juice

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

For every 2 cups of carrot juice,She uses 4 cups of green apple juice.

This means that

Carrot juice = 2

Green apple juice = 4

Using the above as a guide, we have the following:

Unit rate = Carrot juice/Green apple juice

Substitute the known values in the above equation, so, we have the following representation

Unit rate = 2/4

Evaluate

Unit rate = 0.5

Hence, the unit rate is 0.5 carrot juice per green apple juice

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find the standard deviation. the top nine scores on the organic chemistry midterm are as follows. 80, 30, 34, 32, 55, 27, 38, 41, 84

Answers

Answer:

Approximately 20.33 (rounded to two decimal places)

Step-by-step explanation:

To find the standard deviation, we will first find the mean (average) of the scores, then find the variance, and finally take the square root of the variance to get the standard deviation.

Calculate the mean:

(80 + 30 + 34 + 32 + 55 + 27 + 38 + 41 + 84) / 9 = 421 / 9 = 46.78 (rounded to two decimal places)

Calculate the variance:

a. Find the difference between each score and the mean, and then square the differences (rounded to two decimal places).

(80 - 46.78)^2 = 1103.57

(30 - 46.78)^2 = 281.57

(34 - 46.78)^2 = 163.33

(32 - 46.78)^2 = 218.45

(55 - 46.78)^2 = 67.57

(27 - 46.78)^2 = 391.25

(38 - 46.78)^2 = 77.09

(41 - 46.78)^2 = 33.41

(84 - 46.78)^2 = 1385.33

b. Find the sum of the squared differences.

1103.57 + 281.57 + 163.33 + 218.45 + 67.57 + 391.25 + 77.09 + 33.41 + 1385.33 = 3721.57

c. Divide the sum of the squared differences by the number of scores (n = 9).

3721.57 / 9 = 413.51 (rounded to two decimal places)

Calculate the standard deviation:

Take the square root of the variance.

√413.51 = 20.33 (rounded to two decimal places)

The standard deviation of the scores is approximately 20.33 (rounded to two decimal places).

A triangle ABC has a perimeter of 1.95 m.
AB is twice the length of AC and 10 cm longer than BC. Find the length of AB.

Answers

The length of AB is 10m.

Let's assume that the length of AC = x,

According to the problem statement, AB= 2x ...........(1)

Also, BC is 10 cm shorter than AB, so,

BC=AB-10 .......(2)

The perimeter of the triangle is the sum of its three sides:

therefore,

1.95=AB+AC+BC

We can put the value from eq(1) & eq(2)

1.95=2x+x+(AB-10)

AB= 3x+8.05............... (3)

Now, we need to find the value of x

1.95= 2x+x+(AB-10)

or, 1.95 = 3x+ AB-10

Adding 10 to both sides

11.95 = 3x+AB.......(4)

Substituting the expression, we found for AB:

11.95=3x+3x=8.05

11.95= 6x

x= 0.65

So, the value of AB is

AB = 3x+8.05

AB = 3(0.65)+8.05

AB = 10 m

Therefore, The length of AB is 10m.

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how many respondents to a poll are needed, at a minimum, for its results to be accepted as adequately representative of a much larger population?

Answers

The number of respondents needed in a poll to adequately represent a larger population depends on several factors, such as the size of the population, the level of confidence desired, and the margin of error tolerated.

The general rule of thumb is that a sample size of at least 400 respondents is needed to provide a representative sample for a population of 100,000 or less. However, for larger populations, a sample size of at least 1,000 respondents may be required.

It is also important to note that a larger sample size does not always guarantee more accurate results. Other factors such as the sampling method, the wording of the questions, and the response rate can also impact the accuracy of poll results. Therefore, it is essential to carefully design and conduct polls to ensure their results are adequately representative of the larger population.

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People who are underweight can increase their caloric intakes by choosing nutrient- and energy-dense foods. Consider the following foods and classify each into the appropriate category

Answers

Some examples of nutrient- and energy-dense foods that can be beneficial for people who are underweight are nuts and nut butters, Avocado, whole eggs, Full Fat Dairy, Fatty Fish, Dried Fruit, Whole grain bread and pasta, olive oil, sweet potatoes.

Nuts are high in healthy fats, protein, and calories, making them an excellent choice for people who are underweight. Nut butters, such as almond butter, peanut butter, and cashew butter, are also good options.

Avocado is high in healthy fats, fiber, and calories, making it a great choice for adding extra nutrients and calories to meals.

Whole eggs are a good source of protein, healthy fats, and calories, making them a nutrient-dense food that can help with weight gain.

Full-fat dairy products, such as whole milk, cheese, and yogurt, are high in calories and protein, making them a good choice for people who are underweight.

Fatty fish, such as salmon, tuna, and mackerel, are high in protein and healthy fats, making them an excellent choice for weight gain.

Dried fruit is a concentrated source of calories and nutrients, making it a good option for adding extra energy to meals or as a snack.

Whole-grain bread and pasta are higher in nutrients and fiber than their white counterparts and can help increase caloric intake.

Olive oil is high in healthy fats and calories, making it a good choice for adding flavor and nutrition to meals.

Sweet potatoes are a nutrient-dense carbohydrate source that can provide additional calories and nutrients to meals.

Overall, choosing nutrient- and energy-dense foods can be an effective way for people who are underweight to increase their caloric intake and promote healthy weight gain.

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-- The given question is incomplete, the complete question is

"Give some examples of nutrient- and energy-dense foods that can be beneficial for people who are underweight." --

find the force on a square loop (side a), lying in the yz plane and centered at the origin, if it carries a current i, flowing counterclockwise, when you look down the x axis.

Answers

The force on the square loop is F = i(a²)(B), where B is the strength of the magnetic field in the x direction.

What is the Current-carrying loop?

A current-carrying loop refers to a closed circuit consisting of a conductor (usually a wire) bent into the shape of a closed loop, through which an electric current flows. The loop may be any shape or size, but its geometry and the amount of current flowing through it determine the magnetic field it produces.

When a current-carrying loop is placed in a magnetic field, a force is exerted on the loop due to the interaction between the magnetic field and the current. The force on the loop can be calculated using the following formula:

=> F = iABsinθ

where F is the force on the loop, i is the current flowing through the loop, A is the area of the loop, B is the magnetic field, and θ is the angle between the normal to the loop and the direction of the magnetic field.

In this case, the loop is in the yz plane and centered at the origin. The magnetic field is assumed to be in the x direction. Since the loop is perpendicular to the x direction, the angle between the normal to the loop and the magnetic field is 90 degrees.

The area of the loop is given by A = a².

The current flowing through the loop is i.

Thus, the force on the loop is given by:

F = iABsinθ = i(a^2)(B)(sin90) = i(a^2)(B)

Therefore, the force on the square loop is F = i(a^2)(B), where B is the strength of the magnetic field in the x direction.

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In a small town, households recycle on average 30% of their waste. The new recycling committee wants to increase this proportion and study the relationship between recycling and income. They select 25 households from the two wealthier neighborhoods and estimate a 92% confidence interval for the true proportion of recycling. What is the error term of this interval?. 1605 2. 00 points out of 3. 00 P Flag question 2. The same recycling committee also focuses on poor neighborhoods. How many households do they need to sample to get a 95% confidence interval, with an error of +/-0. 09? 100 3. Finally, the same recycling committee wants to know the probability of 12 random households recycling more than 45% of their waste. This probability is: 1292

Answers

A) the error term is 0.16039
B) number of households required to get a 95% confidence interval, with an error of ± 0.09 is 21.
C) The probability of 12 random households recycling more than 45% of their waste is approximately 0.045 or 4.5%.

Here are the steps to arrive at the above

Error term = z√(p(1-p)/n)

Error term = 1.75 √(0.30(1-0.30)/25)
= 0.16039

Thus, the error term is 0.16039

2 ) to find the ample size required to estimate the proportion of recycling in poor neighborhoods with an error of +/-0.09 and a 95% confidence level,

n = (z² * p * (1-p)) / E²

n = (1.96² * 0.5 * (1-0.5)) / 0.09²

= 21


So the number of households required to get a 95% confidence interval, with an error of ± 0.09 is 21.

3)  To calculate the probability of 12 random households recycling more than 45% of their waste,

P(X > 12) = 1 - P(X <= 12)

P(X > 12) = 1 - P(X <= 12)

= 1 - 0.955

= 0.045


So the the probability of 12 random households recycling more than 45% of their waste is 0.045.

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Full Question:

In a small town, households recycle on average 30% of their waste. The new recycling committee wants to increase this proportion and study the relationship between recycling and income. They select 25 households from the two wealthier neighborhoods and estimate a 92% confidence interval for the true proportion of recycling. What is the error term of this interval?

The same recycling committee also focuses on poor neighborhoods. How many households do they need to sample to get a 95% confidence interval, with an error of +/-0. 09?

Finally, the same recycling committee wants to know the probability of 12 random households recycling more than 45% of their waste. This probability is: ?

According to a candy​ company, packages of a certain candy contain 30​% orange candies. Find the approximate probability that the random sample of 50 will contain 38​% or more orange candies.

Answers

The approximate probability that the random sample of 50 will contain 38% or more orange candies is 0.966 or about 96.6%.

The number of orange candies in a sample of 50 candies as a binomial random variable with n = 50 and p = 0.30, p is the probability of selecting an orange candy.

The probability that the sample contains 38% or more orange candies, we need to calculate the cumulative probability of the binomial distribution from x = 0 to x = 19, and subtract it from 1.

Here, x is the number of orange candies in the sample, and 19 is the largest integer less than or equal to 0.38 × 50=19.

Using a binomial calculator or software, we can find that the cumulative probability of the binomial distribution from x = 0 to x = 19 is approximately 0.034.

The probability that the sample contains 38% or more orange candies is approximately:

1 - 0.034 = 0.966

The approximate probability that the random sample of 50 will contain 38% or more orange candies is 0.966 or about 96.6%.

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Identify the segment bisector of QR. Then find QR. *

Answers

The segment bisector of QR is Ml.

The length of QR is equal to 32 units.

How to determine the midpoint of a line segment?

In Mathematics, the midpoint of a line segment with two end points can be determined or calculated by adding each end point on a line segment together and then divide by two (2).

Since Ml is the midpoint and segment bisector of line segment QR, we have the following:

Line segment QM = Line segment MR

2x + 6 = 5x - 9

5x - 2x = 9 + 6

3x = 15

x = 15/3

x = 5.

Now, we can determine line segment QR as follows:

QM = 2x + 6 = 2(5) + 6 = 16 units.

MR = 5x - 9 = 5(5) - 9 = 16 units.

QR = QM + MR

QR = 16 + 16

QR = 32 units.

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Missing information:

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

What is the area of the figure below?
I don't remember how to fid area of something like this.

Answers

The area of the figure below is 58 in².

What is area?

Area is the region bounded by a plane shape.

To calculate the area of the figure, we use the formula below

Formula:

A = BH/2+L(a+b)/2+bh/2

Where:

A = Area of the figureB = 8 inH = 6 inL = 5 ina = 4 inb = 6 inh = 3 in

Substitute these values into equation 1

A = (8×6)/2+5(4+6)/2+6×3/2A = 24+25+9A = 58 in²

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the wheels on annie's bicycle are $20$ inches in diameter. if each wheel makes $3$ full revolutions every second, then how many feet does annie travel in $1$ second? give your answer as an integer, rounded to the nearest foot. (a full revolution means a $360^\circ$ turn. remember that there are $12$ inches in a foot.)

Answers

The circumference of a circle is given by $C = \pi d$, where $d$ is the diameter of the circle. In this case, the diameter of Annie's bicycle wheels is $20$ inches, so the circumference of each wheel is:

$C = \pi d = \pi (20\text{ in}) \approx 62.83 \text{ in}$

Since each wheel makes 3 full revolutions every second, the distance that Annie travels in one second is:

$distance = 2C \cdot \text{revolutions per second} = 2 \cdot 62.83 \text{ in} \cdot 3 \approx 377 \text{ in}$

Converting inches to feet, we get:

$distance = 377 \text{ in} \cdot \frac{1 \text{ ft}}{12 \text{ in}} \approx 31 \text{ ft}$

Rounding to the nearest foot, Annie travels approximately $\boxed{31}$ feet in one second.

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a coin-operated coffee machine made by big corporation was designed to discharge a mean of eight ounces of coffee per cup. if it dispenses more than that on average, the corporation may lose money, and if it dispenses less, the customers may complain. big corporation would like to estimate the mean amount of coffee, , dispensed per cup by this machine. big will choose a random sample of cup amounts dispensed by this machine and use this sample to estimate . assuming that the standard deviation of cup amounts dispensed by this machine is ounces, what is the minimum sample size needed in order for big to be confident that its estimate is within ounces of ? carry your intermediate computations to at least three decimal places. write your answer as a whole number (and make sure that it is the minimum whole number that satisfies the requirements). (if necessary, consult a list of formulas.)

Answers

Once you have the required numerical values, plug them into the formula and calculate the minimum sample size needed for Big Corporation to be confident in their estimate of the mean amount of coffee dispensed per cup

We need to determine the minimum sample size required for Big Corporation to estimate the mean amount of coffee dispensed per cup with a certain level of confidence and margin of error.

Unfortunately, some of the numerical values are missing in question.

Step 1: Determine the desired confidence level (e.g., 90%, 95%, 99%).
Step 2: Identify the desired margin of error (e.g., within 0.1 ounces).
Step 3: Given the standard deviation of cup amounts (missing in the question, let's assume it as "σ").

Now, use the formula for determining the minimum sample size needed:

n = (Z² * σ²) / E²

where:
n = minimum sample size
Z = Z-score corresponding to the desired confidence level (e.g., 1.96 for 95% confidence)
σ = standard deviation of cup amounts
E = margin of error

Step 4: Calculate the minimum sample size (n) using the formula and round up to the nearest whole number.

By numerical values, plug them into the formula and calculate the minimum sample size needed for Big Corporation to be confident in their estimate of the mean amount of coffee dispensed per cup.

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PLS HELP WUICKLY ILL GIVE BRAINLYIST!!!

Answers

The length from least to greatest is √3, √5, π, 2√3.

We have the lengths as π, √3, 2√3, √5.

Now, writing the decimals for each

π= 3.14

√3 = 1.732

2√3 = 3.464

√5= 2.23

So, arranging the length from least to greatest is √3, √5, π, 2√3.

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how do you determine the percent of scores in the data table that fall within one standard deviation of the mean?

Answers

30% of the scores in the dataset fall within one standard deviation of the mean.

To determine the percent of scores in a data table that fall within one standard deviation of the mean, you need to follow these steps:

Calculate the mean and standard deviation of the dataset.

Determine the lower and upper bounds of one standard deviation by subtracting the standard deviation from the mean to get the lower bound, and adding the standard deviation to the mean to get the upper bound.

Count the number of data points in the dataset that fall within the lower and upper bounds of one standard deviation.

Divide the number of data points within one standard deviation by the total number of data points in the dataset, and multiply the result by 100 to get the percentage of scores that fall within one standard deviation of the mean.

Let's say you have a dataset with a mean of 50 and a standard deviation of 10.

To determine the percent of scores that fall within one standard deviation of the mean, you would calculate the lower and upper bounds of one standard deviation as follows:

Lower Bound = 50 - 10 = 40

Upper Bound = 50 + 10 = 60

The number of data points in the dataset that fall within the lower and upper bounds of one standard deviation.

Let's say there are 30 data points that fall within this range.

The number of data points within one standard deviation by the total number of data points in the dataset, and multiply the result by 100 to get the percentage of scores that fall within one standard deviation of the mean:

Percent Within One Standard Deviation

= (30/100) × 100 = 30%

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in the case of jenny's test scores even though 86 on the statistics test was higher than the 82 on the english test, her z scores for these were .99 and 1.5 respectively, so she actually performed .... relative to her classes on the english test

Answers

Based on these z-scores, we can say that Jenny performed better relative to her classmates on the English test than the statistics test, despite the lower numerical score.

Jenny's performance on her statistics and English tests based on the given z-scores.

Let me explain the concept of z-scores and how they can be used to interpret her performance.
Z-scores are a measure of how many standard deviations a data point is from the mean of a distribution.

Jenny's z-scores tell us how far her test scores are from the average scores of her classmates in each subject.
Jenny's statistics test score is 86, with a z-score of 0.99.

Her English test score is 82, with a z-score of 1.5.

A z-score of 1.5 indicates that her English test score is 1.5 standard deviations above the mean of her English class, A z-score of 0.99 indicates that her statistics test score is 0.99 standard deviations above the mean of her statistics class.

A higher z-score means that her performance in that subject is further above the class average.
Even though Jenny scored 86 on her statistics test and 82 on her English test, she actually performed better relative to her classmates on the English test.

This is because her English test z-score (1.5) is higher than her statistics test z-score (0.99), indicating a better performance in English compared to her peers.

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A circle with center is shown in the figure below.
S
T
W
R
U
V
(a) Name a radius:

(b) Name a diameter:
(c) Name a chord:
(d) If the length of is units,
what is the length of ?

Answers

The names of the radius , chord and diameter of a circle are as follow,

Radius of the circle are PQ, PM , And PR.

Diameter of the circle is QM

Chord of the circle is ON.

Length of QM in the circle = 4units.

In the attached figure of the circle,

Center of the circle is P.

radius of the circle is a distance from the center of the circle to its circumference.

Radius = PQ, PM , And PR.

Diameter of the circle passing through center P is QM.

Chord of the circle representing a line segment having endpoints on the circumference of the circle.

Chords are ON and MQ.

Diameter is the longest chord.

length of PR is 2 units,

PR is radius

QM is diameter

QM = 2(PR)

length of QM = 2(2)

                      = 4 units.

Therefore, for the given circle we have,

Radius are PQ, PM , And PR.

Diameter is QM

Chord is ON.

Length of QM = 4units.

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The above question is incomplete, the complete question is:

A circle with center P is shown in the figure below.

(a) Name a diameter:

(b) Name a radius:

(c) Name a chord:

(d) If the length of PR is 2 units, what is the length of QM

Attached figure.

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