The rainfall in a town, measured in inches over the last 7 days has been: 1 , 3 , 0 , 2 , 2 , 1 , 3 Find the median rainfall.

The height of the center of the Ferris wheel 51 m.

The height of capsule M is 51 m and the height of capsule T is 102 m.

Using this information, we can calculate the height of the center of the Ferris wheel, the height of capsule M, and the height of capsule T.

Height of the center of the Ferris wheel:

The center of the Ferris wheel is the midpoint of its diameter. Therefore, the height of the center of the Ferris wheel is half of the height of the top of the wheel above the ground.

Height of center of Ferris wheel = 102 meters / 2 = 51 meters.

Height of capsule M:

Since capsule M is at the same height as the center of the Ferris wheel, the height of capsule M is also 51 meters.

Height of capsule T:

Since capsule T is at the very top of the Ferris wheel, its height above the ground is equal to the height of the top of the Ferris wheel above the ground.

Height of capsule T = 102 meters.

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Marilyn needs 3 and 1/3 cups of brown sugar to make 5 batches of the recipe.

To find the total amount of brown sugar Marilyn needs, we need to multiply the amount required for one batch by the number of batches.

One batch requires 2/3 cup of brown sugar. To find the amount required for five batches, we can multiply 2/3 by 5.

2/3 * 5 = 10/3

So Marilyn needs 10/3 cups of brown sugar to make 5 batches of the recipe. However, it's usually easier to work with mixed numbers or whole numbers.

To convert the fraction 10/3 to a mixed number, we divide the numerator (10) by the denominator (3) and get a quotient of 3 with a remainder of 1. So:

10/3 = 3 1/3

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the answer to the problem is that one angle measures 19.1 degrees and its complementary angle measures 70.9 degrees.

How to solve the question?

Let's first define the problem. Complementary angles are two angles whose sum is 90 degrees. Let x be the measure of one of the angles, then the measure of its complementary angle is 90 - x. According to the problem, one angle measures 51.8 degrees less than its complementary angle, so we can write:

x = (90 - x) - 51.8

Simplifying this equation, we get:

2x = 90 - 51.8

2x = 38.2

x = 19.1

Therefore, one angle measures 19.1 degrees and its complementary angle measures 90 - 19.1 = 70.9 degrees.

We can check that these angles are indeed complementary by verifying that their sum is 90 degrees:

19.1 + 70.9 = 90

So the answer to the problem is that one angle measures 19.1 degrees and its complementary angle measures 70.9 degrees.

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The correct answer is option c) A circle graph, also known as a pie chart, would be the best graphical representation for the teacher's data on the subject preferences of the 100 students in the school.

What is graphical representation?

A graphical representation is a way of presenting data or information visually using charts, graphs, diagrams, or other visual aids. It helps to convey complex information in an easy-to-understand manner, enabling the viewer to quickly grasp the main points and trends.

A circle graph, also known as a pie chart, would be the best graphical representation for the teacher's data on the subject preferences of the 100 students in the school.

A circle graph can effectively display the relative proportions of different categories in a data set, making it a useful tool for showing the distribution of categorical data such as subject preferences.

A stem-and-leaf plot is more suitable for displaying numerical data, while a histogram and box plot are typically used for showing the distribution of continuous data.

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Answer: 3.45meters

Step-by-step explanation:

To find the range of the length of pipe that the plumber can cut, we need to write an absolute value inequality that expresses the condition that the length of the pipe must be within 0.09 meters of the required length. Let's call the required length L.

The plumber can cut a pipe that is within 0.09 meters of the required length, so the length of the pipe must be between L - 0.09 and L + 0.09. We can express this as:

|3.36 - L| ≤ 0.09

To solve this inequality, we need to consider two cases: when 3.36 - L is positive and when it is negative.

Case 1: 3.36 - L ≥ 0

In this case, the absolute value of 3.36 - L is equal to 3.36 - L. So we can write:

3.36 - L ≤ 0.09

Solving for L, we get:

L ≥ 3.36 - 0.09

L ≥ 3.27

Therefore, if 3.36 - L is positive, the length of the pipe must be greater than or equal to 3.27 meters.

Case 2: 3.36 - L < 0

In this case, the absolute value of 3.36 - L is equal to -(3.36 - L), or L - 3.36. So we can write:

L - 3.36 ≤ 0.09

Solving for L, we get:

L ≤ 3.36 + 0.09

L ≤ 3.45

Therefore, if 3.36 - L is negative, the length of the pipe must be less than or equal to 3.45 meters.

Putting these two cases together, we get:

3.27 ≤ L ≤ 3.45

Therefore, the range of the length of pipe that the plumber can cut is between 3.27 meters and 3.45 meters.

The dimensions of the net for the cube lampshade which fits into the sheet of plastic with dimensions 20 cm by 15 cm indicates;

5. The area of each square of (5 cm)² on the sheet of plastic, indicates that the area of the net comprising of six squares is 150 cm²

6. The percentage of the plastic sheet wasted is 50%

What is a cubic shape?

A cubic shape is a shape that consists of six square faces, twelve edges and eight vertices. The area of each square face of side length s = Side length, s × Side length, s.

5. The surface area of the net in the figure can be calculated by finding the sum of the area of the squares within the area of the net.

The number of squares in the figure are 6 squares

The area of each square = (5 cm)²

The area of the sheet of plastic = 20 cm × 15 cm = 300 cm²

The area of the net containing six squares is therefore;

Area = 6 × (5 cm)² = 150 cm²

6. The amount of plastic sheet wasted can be obtained by finding the difference between the area of the plastic and the area of the net

Area of the sheet of plastic = 20 cm × 15 cm = 300 cm²

Area of the net = 150 cm²

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The test statistic for the appropriate test to determine if there is a significant mean difference between the percent correct on the two sections for all candidates similar to the one in the investigation is given by t = 75 - 65 / [8 / √(50)], option (A) is correct.

The appropriate test to determine if there is a significant mean difference between the percent correct on the two sections is a two-sample t-test assuming equal variances.

The test statistic for this hypothesis test can be calculated using the formula:

t = x' / ([tex]s{p}[/tex] × √n')

where x' is the sample means for the first and second sections, respectively, [tex]s{p}[/tex] is the pooled standard deviation, and n' is the sample sizes for the first and second sections.

Using the information given in the question, we can calculate the values needed for the test statistic:

x₁ = 75, x₂ = 65, s₁ = 10, s₂ = 5, n' = 50

x’ = x₁ - x₂ = 75 - 65 = 10

The pooled standard deviation is given by [tex]s_{p}[/tex] = 8

We can calculate the test statistic:

t = (x') / [[tex]s_{p}[/tex] / √(n)]

t = 75 - 65 / [8 / √(50)]

Further simplifying:

t = 10 / [8 / √(50)]

t = 8.8356

Hence, option (A) is correct.

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– The question is incomplete, The complete question is:

To obtain certification for a certain occupation, candidates take a proficiency exam. The exam consists of two sections, and neither section should be more difficult than the other. To investigate whether one section of the exam was more difficult than the other, a random sample of 50 candidates was selected. The candidates took the exam and their scores on each section were recorded.

The summary of the statistics are as follows:

-For the first section, Mean Percent Correct is 75 and Standard Deviation Percent Correct is 10

-For the second section, Mean Percent Correct is 65 and Standard Deviation Percent Correct is 5

-The difference is, Mean Percent Correct is 10, and the pooled Standard Deviation Percent Correct is 8

Which of the following is the test statistic for the appropriate test to determine if there is a significant mean difference between the percent correct on the two sections (first minus second) for all candidates similar to the one in the investigation?

A) t = 75 - 65 / (8 / √(50))

B) t = 75 - 65 / [√(10² / 50 + 5² / 50)]

C) x² =(75 - 70)² / 70 + (65-70)² / 70

D) x² = (75-70)² / 65 + (65-70)² / 65

Answer: 3. is 13

4. is 36

5. is 21

6. is 15

7. is 21

8. is 2

9. is 6

10. is 45

Step-by-step explanation:

the letters are there to just confuse you. i promise its all right <-- the answers

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yes very cool math problem

At a function x = 4 has a vertical asymptote and at y = -15 has a horizontal asymptote.

The general form of a function is x= a and y = b.

f(x) = (kx + m) / (x - a) + b

k and m are constants.

We require a factor of (x - 4) in the denominator to get a vertical asymptote at x = 4. It is necessary for the fraction to approach -15 when x approaches positive or negative infinity in order to obtain a horizontal asymptote at y = -15.

One potential function that meets these specifications is:

H(x) = 6/(x - 4) - 15 + k

where k is a constant that establishes the function's vertical shift (i.e., its value at x = 0).

By entering a point on the graph, such as the x-intercept (where y = 0), the value of k can be determined:

0 = 6/(x - 4) - 15 + k

15 - k = 6/(x - 4)

x - 4 = 6/(15 - k)

x = 6/(15 - k) + 4

We may enter this value of x into the original equation to find k since y = 0 at the x-intercept:

0 = 6/((6/(15 - k) + 4) - 4) - 15 + k

0 = 6/(6/(15 - k)) - 15 + k

0 = 15 - k - 15 + k

The x-intercept and asymptotes are unaffected by the value of k, and any value of k will result in a function with the same asymptotes. K does, however, have an impact on the function's vertical shift.

We can select a value for k and then search for a specific function that has the specified asymptotes.

For instance, if we select k = 0, we obtain:

H(x) = 6/(x - 4) - 15

This function has the same shape as the original function H(x) presented in the problem and asymptotes at x = 4 and y = -15, respectively.

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Answer: Just simply replace the letter with the number that it equals in the equation. Then solve the equation using PEMDAS order of operations, (Parenthesis, Exponents, Multiplication, Division, Addition, Subtraction).

Step-by-step explanation:

Answer: for future k-12 kids :)

Step-by-step explanation:

Answer:

  (a)  x² +y² -2x -6y -26 = 0

Step-by-step explanation:

You want the equation for the circle with center (1, 3) and radius 6 written in general form.

The standard form equation for a circle with center (h, k) and radius r is ...

  (x -h)² +(y -k)² = r²

The radius and center are found from the graph, attached. For the circle centered at (h, k) = (1, 3) and radius r = 6, this is ...

  (x -1)² +(y -3)² = 6²

Expanding this equation gives ...

  x² -2x +1 +y² -6y +9 = 36

Written in general form, the equation becomes ...

  x² +y² -2x -6y -26 = 0 . . . . matches choice A

__

Additional comment

There is an image of this question showing the correct answer choice is the third one. However, that answer choice shows up first on this instance of the question. You will need to read and compare answer content to make sure you have the correct choice. You cannot go by the order of the the answers.

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Answer:

y = 4x

Step-by-step explanation:

To find the constant of proportionality, we need to calculate the ratio of y to x for any two corresponding values in the table.

Let's choose the first set of values: x = 6, y = 24.

y/x = 24/6 = 4

So the constant of proportionality is 4.

We can check this for the other sets of values as well:

- for x = 8, y = 32: y/x = 32/8 = 4

- for x = 10, y = 40: y/x = 40/10 = 4

- for x = 12, y = 48: y/x = 48/12 = 4

In each case, the ratio of y to x is equal to 4, so the constant of proportionality is indeed 4. Therefore, the relationship between x and y is:

y = 4x

Answer:10 40

Step-by-step explanation:

The circumference of a circle is proportional to its diameter. The constant of proportionality for this relationship is pi (π). Therefore, we can use the equation C = πd (where C is the circumference and d is the diameter) to determine the circumference of a circle.

Pi (π) is a mathematical constant that represents the ratio of the circumference of a circle to its diameter. It is approximately equal to 3.14159, but its decimal representation goes on infinitely without repeating.

The radius of a circle is half the length of its diameter. Therefore, the relationship between diameter and radius is that the diameter is twice the length of the radius, or d = 2r.

If given the diameter of a circle, you can calculate its radius by dividing the diameter by 2 (r = d/2). Conversely, if given the radius of a circle, you can calculate its diameter by multiplying the radius by 2 (d = 2r).

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It would take Rafael approximately 9.05 hours to run a 50-mile marathon in Washington D.C. at the same pace he ran the Boston Marathon.

What is distance?

Distance is the measure of how far apart two objects or locations are from each other. It is usually measured in units such as meters, kilometers, miles, or feet.

To solve this problem, we can use the concept of the average speed or pace, which is given by the formula:

pace = time / distance

where pace is the time it takes to cover one unit of distance (e.g., one mile), time is the time taken to cover the distance, and distance is the distance covered.

We can rearrange this formula to find the time it would take to cover a given distance at a given pace:

time = pace * distance

Using this formula, we can find the pace at which Rafael ran the Boston Marathon:

pace = time / distance

pace = 4.75 hours / 26.2 miles

pace = 0.181 hours/mile

Now we can use this pace to find the time it would take Rafael to run a 50-mile marathon:

time = pace * distance

time = 0.181 hours/mile * 50 miles

time = 9.05 hours

Therefore, it would take Rafael approximately 9.05 hours to run a 50-mile marathon in Washington D.C. at the same pace he ran the Boston Marathon.

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Answer:

The correction definition of a resume is a document describing the applicant's experience, strengths, skills, education and other qualifications.

She will fertilize 69.76 square feet outside of the circular flowers.

In order to get the area that she will fertilize outside of the circular flowers, we will calculate area of the entire rectangular garden and the area of the circular flowers.

The area of the rectangular garden is:

[tex]= 10 ft * 12 ft\\= 120 sq ft[/tex]

The area of the circular flowers is:

[tex]= \pi r^2\\= 3.14 * 4^2\\= 50.24 sq ft[/tex]

To find area to be fertilize outside of the circular flowers, we will subtract these area which gives us:

[tex]= 120 sq ft - 50.24 sq ft\\= 69.76 sq ft[/tex]

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The area of the composite figure for this problem is given as follows:

A = 90 in².

The area of the composite figure is given by the sum of the areas of all the parts that compose the figure.

The right triangle has a side length of 5 in and an hypotenuse of 13 units, hence the missing side is given as follows:

5² + x² = 13²

25 + x² = 169

x² = 144

x = 12.

Thus the entire base is of:

12 + 4 = 16 in.

Then the figure is composed as follows:

Hence the area is given as follows:

A = 3 x 16 + 0.5 x 12 x 5 + 4 x 3

A = 90 in².

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1.75 in or 1 3/4 in (which ever form you need it in)

youre given the diameter and so to find radius, you simply divide the diameter by 2.

Answer:

12

Step-by-step explanation:

to divide by a fraction use the acronym K.C.F or keep change flip to re-arrange the problem.

[tex]\frac{3}{\frac{1}{4} }[/tex] can be re-written as

[tex]\frac{3}{1} *\frac{4}{1}[/tex]

or 3*4 which equals 12

Answer:

They are length, thickness and temperature

The population from which the manager should choose a sample to answer her question is: B. The list of customers who purchased plants from the nursery.

A population is a term that goes by the definition of it being the entire group that we specifically intend to get conclusions about. Meanwhile, we ca sample is defined as the specific group that you will collect data from. The size of the given sample is normally always less than  that of the total size of the given population. In research, it is noticed that a population doesn't always mean we are referring to people.

Now, we are told that the manager wants to know which types of plants his customers buy most often.

Looking at the options, the most appropriate population from which a sample could be gotten from is the list of customers who purchased plants from the nursery.

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The statement that correctly compares the two functions on the interval [-1, 2] is A. Both functions are increasing, but function g increases at a faster average rate.

For function f, as x increases from -2 to 2, we can see that the corresponding values of f(x) also increase, but at a decreasing rate. This is because the function is exponential and approaching a horizontal asymptote as x goes to infinity. Therefore, f(x) is increasing, but at a decreasing rate.

For function g, we don't have enough information to determine if it's increasing or not, since only its equation is given. The correct option is A.

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Answer: 7

Step-by-step explanation:

i did it a weird way

The solutions to the equation are z = 1 and z = 1/3. We can mark these solutions on a number line is {1/3, 1}.

what is algebra?

Algebra is a branch of mathematics that deals with mathematical operations and symbols used to represent numbers and quantities in equations and formulas. It involves the study of variables, expressions, equations, and functions.

We can solve this equation by considering two cases:

Case 1: 3z-2 = 1

Solving for z, we get:

3z-2 = 1

3z = 3

z = 1

Case 2: 3z-2 = -1

Solving for z, we get:

3z-2 = -1

3z = 1

z = 1/3

Therefore, the solutions to the equation are z = 1 and z = 1/3. We can mark these solutions on a number line as follows:

The solution set is {1/3, 1}.

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Answer:

Step-by-step explanation:

The answer is attached below. There isn't much explanation for this. You just translate the word problem into a mathematical inequality.

The angle x subtended by the arc of the circle between the two tangents is 130 degrees.

In trigonometry, the tangent (often abbreviated as tan) is a mathematical function that describes the ratio of the length of the side opposite to an angle in a right-angled triangle to the length of the adjacent side.

The formula 50=180-x represents the fact that the angle between two tangents drawn to a circle from an external point is equal to the difference of the angles subtended by the tangents in the opposite segment of the circle.

Using this formula, we can solve for x as follows:

50 = 180 - x (given)

x = 180 - 50 (subtracting 50 from both sides)

x = 130 (simplifying)

Therefore, the angle x subtended by the arc of the circle between the two tangents is 130 degrees.

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Y = 3(-3) + 4 = -5 when x is equal to 3. Hence, the final set of negative x- and y-coordinates is (-3, -5).

A set of numbers known as coordinates describes a point or object's location in a given space or coordinate system. When representing a spot's location in a plane or three-dimensional space, coordinates are frequently expressed as x or triples in mathematics. Depending also on system being utilised, several values can be used to represent coordinates, although often, integers or real numbers are used to express them.

given

We can substitute negative values for x and solve for y to obtain three pairs of negative x and y coordinates that lie on the line y = 3x + 4.

With x = 1, y = 3(-1), plus 4, equals 1. Hence, one set of negative x and y coordinates is (-1, 1).

Y = 3(-2) + 4 = -2 when x is equal to 2. In light of this, another set of negative x- and y-coordinates is (-2, -2).

Y = 3(-3) + 4 = -5 when x is equal to 3. Hence, the final set of negative x- and y-coordinates is (-3, -5).

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Answer: To calculate the mean square treatment (MST), we need to have the sums of squares for treatment (SST) and the degrees of freedom for treatment (dfT).

Assuming that there are k treatment groups and a total of n observations, we can calculate SST and dfT as follows:

SST = Σ(xi - x_bar)^2 - Σ(yi - y_bar)^2 / n

where xi is the dried weight of plants for the i-th treatment group, x_bar is the mean dried weight of plants for all treatments combined, yi is the dried weight of plants for the control group, and y_bar is the mean dried weight of plants for the control group.

dfT = k - 1

Once we have calculated SST and dfT, we can find MST by dividing SST by dfT:

MST = SST / dfT

Note that SST is the sum of squares for treatment, which represents the variation in the response variable that is due to the different treatment conditions. MST represents the average amount of variation in the response variable that can be attributed to the treatment conditions.

Without knowing the specific values for the dried weight of plants, it is not possible to calculate SST and dfT, and therefore the MST.

Step-by-step explanation: