Find the height of a cylinder with a volume of 150 pi cubic units and a radius of 5 units

A scatter diagram is a graphical technique to show the relationship between two variables.

A scatter diagram, also known as a scatter plot or scattergraph, is a visual representation of the relationship between two variables. It consists of a collection of points on a graph, with each point representing the values of both variables for a specific observation or data point. The horizontal axis represents one variable, while the vertical axis represents the other variable.

The scatter diagram helps us understand the relationship between the two variables. If there is a clear pattern or trend in the points, it indicates a strong relationship between the variables. For example, if the points form a straight line sloping upwards from left to right, it suggests a positive correlation, meaning that as one variable increases, the other variable also tends to increase. Conversely, if the points form a downward sloping line, it indicates a negative correlation.

On the other hand, if the points are scattered randomly across the graph, with no discernible pattern, it suggests little or no relationship between the variables. This random scattering of points illustrates the distribution of the variable values.

In summary, a scatter diagram is a powerful tool to visualize and analyze the relationship between two variables. By examining the pattern or lack thereof in the scatter plot, we can gain insights into the nature of their association.

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The line that is not another name for Q is RL

For a line to represent the point Q, the following must be true:

Using the above highlights,

Hence, the line that is not another name for Q is RL

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Answer:

f=2/3

Step-by-step explanation:

The approximate time the return trip took = 9 minutes.

a. The table can be set up as follows:

\(\left\begin{array}{cccc}&Distance&Rate&Time (in Hours)\\To the River &&40&\\From the River&&70&\end{array}\right\)

Since the time provided is in minutes, we need to convert it to hours. 15 minutes is equal to \(\frac{15}{60}\) = \(\frac{1}{4}\) hour.

\(\left\begin{array}{cccc}&Distance&Rate&Time (in Hours)\\To the River &&40&\frac{1}{4} \\From the River&&70&\end{array}\right\)

b. From the table, we can see that the distance traveled to the river is the same as the distance traveled from the river.

Let's denote the distance as d.

\(\left\begin{array}{cccc}&Distance&Rate&Time (in Hours)\\To the River &d&40&\frac{1}{4} \\From the River&d&70&\end{array}\right\)

c. To solve the problem, we can use the formula: distance = rate * time.

For the "To the River" trip:

d = \(40*\frac{1}{4}\)

d = 10

For the "From the River" trip:

d = 70 * t (where t represents the time taken in hours)

Since the distances are the same, we have:

10 = 70 * t

Solving for t:

t = \(\frac{10}{70}\)

t = \(\frac{1}{7}\)

Now, we need to convert the time back to minutes.

Since 1 hour is equal to 60 minutes, we have:

t = \(\frac{1}{7} * 60\\\)

t ≈ 8.57 minutes

To the nearest minute and second, the return trip took approximately 9 minutes.

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To find the average quarterly loads for the rest of the years, you can use the formula below:

Average Quarterly Load = Total Annual Load  4 For example, let's say the total annual load for Year 1 is 800.

To find the average quarterly loads for Year 1, we would divide 800 by 4 to get an average quarterly load of 200. Then, you can use this average quarterly load to find the seasonal indices for each quarter of each year.To find the seasonal index for a given quarter and year, you would divide the actual quarterly load by the average quarterly load for that year.

For example, let's say the actual load for Quarter 1, Year 1 is 240. To find the seasonal index for this quarter and year, we would divide 240 by 200 to get a seasonal index of 1.2. You would repeat this process for each quarter and year to find the seasonal indices for all quarters and years.

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The price of one coat is $46.

Percentage is defined as the parts of a number per fraction of 100. We have to divide a number with it's whole and then multiply with 100 to calculate the percentage of any number. So the percentage actually means a part per 100.

Given that,

a store has 25% off sale on coats.

Discounted price of one coat = $34.50

We have to find the original price of the coat. Let it be x.

x - (25% x) = 34.5

x - 0.25x = 34.5

0.75x = 34.5

x = 46

Hence the original price of the coat is $46.

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The line draw down as per given dimensions of standard sheet of paper 8.5x11 in then half the width of paper is 4.25 inches long approximately.

Let's consider a standard sheet of paper, which typically has dimensions of 8.5 inches by 11 inches (width by height).

If you draw a straight vertical line down half the width of the paper,

It is essentially drawing a line from the top edge to the bottom edge, dividing the paper into two equal halves.

The width of the paper is 8.5 inches.

When you draw a line down half the width, you are going from one edge to the midpoint.

Since you are going halfway, the length of the line will be half of the width,

which is 8.5 inches divided by 2, resulting in approximately 4.25 inches.

Therefore, the line you draw down half the width of the paper will be approximately 4.25 inches long.

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Answer: 3

Step-by-step explanation: 2 dozens is 24.

Divide 24 by 8 =3

The solution to the equation \((\sum\limits^{\infty}_{i=1} \frac{1}{2^i}) + (\sum\limits^{\infty}_{i=1} \frac{9}{10^i}) + \sin^2(\theta) + \cos^2(\theta) + e^2\) is 10.3891

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

\((\sum\limits^{\infty}_{i=1} \frac{1}{2^i}) + (\sum\limits^{\infty}_{i=1} \frac{9}{10^i}) + \sin^2(\theta) + \cos^2(\theta) + e^2\)

Using the following trigonometry ratio

sin²(x) + cos²(x) = 1

We have

\((\sum\limits^{\infty}_{i=1} \frac{1}{2^i}) + (\sum\limits^{\infty}_{i=1} \frac{9}{10^i}) + \sin^2(\theta) + \cos^2(\theta) + e^2 = (\sum\limits^{\infty}_{i=1} \frac{1}{2^i}) + (\sum\limits^{\infty}_{i=1} \frac{9}{10^i}) + 1 + e^2\)

The sum to infinity of a geometric series is

S = a/(1 - r)

So, we have

\((\sum\limits^{\infty}_{i=1} \frac{1}{2^i}) + (\sum\limits^{\infty}_{i=1} \frac{9}{10^i}) + \sin^2(\theta) + \cos^2(\theta) + e^2 = \frac{1/2}{1 - 1/2} + \frac{9/10}{1 - 1/10} + 1 + e^2\)

So, we have

\((\sum\limits^{\infty}_{i=1} \frac{1}{2^i}) + (\sum\limits^{\infty}_{i=1} \frac{9}{10^i}) + \sin^2(\theta) + \cos^2(\theta) + e^2 = 1 + 1 + 1 + e^2\)

Evaluate the sum

\((\sum\limits^{\infty}_{i=1} \frac{1}{2^i}) + (\sum\limits^{\infty}_{i=1} \frac{9}{10^i}) + \sin^2(\theta) + \cos^2(\theta) + e^2 = 3 + e^2\)

This gives

\((\sum\limits^{\infty}_{i=1} \frac{1}{2^i}) + (\sum\limits^{\infty}_{i=1} \frac{9}{10^i}) + \sin^2(\theta) + \cos^2(\theta) + e^2 = 10.3891\)

Hence, the solution to the equation is 10.3891

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Answer:

  B) 0.003

Step-by-step explanation:

1 meter per 1000 years is 1 mm per year, so 1/365 mm per day.

  1/365 mm/day ≈ 0.00274 mm/day ≈ 0.003 mm/day

Answer:

B) 0.003

Step-by-step explanation:

Here is your answer Answer 56m^3

Answer:

\( {56m}^{13} \)

Step-by-step explanation:

Multiply the coefficients together and add the exponents.

Answer:

I want to say that there's 1 left, but this is probably a trick question, so. . .

Answer:

its be without a doubt

Step-by-step explanation:

The completed table based on the given pattern is as follows: Shape 1: 4 matchsticks, Shape 2: 7 matchsticks, Shape 3: 10 matchsticks, Shape 4: 13 matchsticks, Shape 5: 24 matchsticks, Shape 6: 82 matchsticks.

To complete the table based on the given pattern, we need to identify the rule that determines the number of matchsticks for each shape.

Looking at the provided information, we can observe that the first four shapes follow a consistent rule, while the last two shapes seem to deviate from that rule.

For the first four shapes:

Shape 1: 4 matchsticks

Shape 2: 7 matchsticks (Shape 1 + 3 matchsticks)

Shape 3: 10 matchsticks (Shape 2 + 3 matchsticks)

Shape 4: 13 matchsticks (Shape 3 + 3 matchsticks)

Based on this pattern, it appears that each shape adds three additional matchsticks compared to the previous shape.

Now, let's analyze the last two shapes:

Shape 6: 43 matchsticks

Shape 7: 82 matchsticks

From Shape 4 to Shape 6, there is an increase of 3 matchsticks as expected.

However, from Shape 6 to Shape 7, there is an unexpected increase of 39 matchsticks.

Since the given information does not provide a clear pattern or rule for the last two shapes, we cannot accurately determine the number of matchsticks for those shapes.

Therefore, we can complete the table as follows:

Shape 1: 4 matchsticks

Shape 2: 7 matchsticks

Shape 3: 10 matchsticks

Shape 4: 13 matchsticks

Shape 5: (Unknown)

Shape 6: (Unknown).

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Answer:

D

Step-by-step explanation:

I hope this helps you out!

Answer:

It's 44 degree.

Step-by-step explanation:

Since 44 degree is the longest one, then that should be the answer I think. Just look at the distance and see which one has the longest distance.

Answer:

B

Step-by-step explanation:

I Think Its "B" Because A 90 Degree angle is normal and 72 is close to it so?

The equation of the tangent line to the parabola at the point (1,5) is y = 4x + 1.

To find the slope of the tangent line to the parabola at the point (1,5), we need to find the derivative of the equation y = 6x - x² and evaluate it at x = 1.

Taking the derivative of y with respect to x:

dy/dx = d(6x - x²)/dx

= 6 - 2x

Now, we can substitute x = 1 into the derivative to find the slope at that point:

slope = 6 - 2(1)

= 6 - 2

= 4

So, the slope of the tangent line to the parabola at the point (1,5) is 4.

To find the equation of the tangent line, we need to use the point-slope form of a line.

The equation is given by:

y - y₁ = m(x - x₁)

Substituting the values we have:

y - 5 = 4(x - 1)

Expanding and simplifying:

y - 5 = 4x - 4

Moving the constant term to the other side:

y = 4x + 1

Therefore, the equation of the tangent line to the parabola at the point (1,5) is y = 4x + 1.

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Complete question =

Find the slope of the tangent line to the parabola at the point (1,5). y = 6x-x². find an equation of the tangent line.

Answer:

$20.55

Step-by-step explanation:

Plz give brainliest

A process that behaves the same way as a procedure so that similar results are produced is called a simulation.

In this question,

Simulations are used for finding probabilities for compound events. The probability model of a random phenomenon consists of a sample space of possible outcomes, associated events, random variables, and a probability measure that specifies probabilities of events and determines distributions of random variables.

Procedure is a method of analyzing or representing statistical data; a procedure for calculating a statistic. The goal of statistical analysis is to identify trends.

Hence we can conclude that a process that behaves the same way as a procedure so that similar results are produced is called a simulation.

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EH is considered to be horizontal and DH is considered to be vertical. They both form a perpendicular segment and creates a 90 degree angle.

none of the provided options (a, b, c, d) appear to be accurate or close to the minimum space required.

To determine the minimum space required for a male restroom design with the given plumbing requirements, we need to consider the minimum space required for water closets and lavatories.

The minimum space required for water closets is typically around 30-36 inches per unit, and for lavatories, it is around 24-30 inches per unit.

Since the design requires a minimum of 12 water closets and 13 lavatories, we can estimate the minimum space required as follows:

Minimum space required for water closets = 12 water closets * 30 inches = 360 inches

Minimum space required for lavatories = 13 lavatories * 24 inches = 312 inches

Adding these two values together, we get a total minimum space requirement of 672 inches.

Among the given options, the closest value to 672 inches is option d) 249. However, this value seems significantly lower than the expected minimum space requirement.

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The center of the circle, and consequently the central point of the resort's swimming pool, is located at the intersection of the two legs of the right triangle, approximately 60 feet from one vertex and 120 feet from the other.

The upscale resort has ingeniously designed its circular swimming pool to encompass a central area containing a restaurant. This central area takes the form of a right triangle with legs measuring 60 feet and 120 feet, while the hypotenuse, the longest side of the triangle, spans approximately 103.92 feet. The vertices of the triangle neatly coincide with points on the circumference of the circular pool.

Due to the properties of a right triangle, the hypotenuse is also the diameter of the circle. This means that the circular pool is precisely constructed around the right triangle, with its center located at the midpoint of the hypotenuse.

To determine the exact coordinates of the center of the circle, we can consider the properties of right triangles. Since the legs of the right triangle are perpendicular to each other, the midpoint of the hypotenuse coincides with the point where the two legs intersect.

In this case, the center of the circle is the point of intersection between the 60-foot leg and the 120-foot leg of the right triangle.

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The magnitude of the force per unit length between the wires is \(3 \times 10^{-5} N/m\).

In a wire carrying a current I 2, the force that each wire feels due to the presence of the other depends on the distance between them and the magnitude of the currents.

Force per unit length = magnetic permeability * (current 1) * (current 2) / (2 π distance between the wires).

The below expression for the force per unit length.

Moreover, before using the below formula we have to change the unit centimeter into a meter. So, we just divide the centimeter by 100.

\(\rm \dfrac{Force}{length}=\dfrac{u_0 \times i _1 \times i_2}{2\pi d}\\\\\dfrac{Force}{length}=\dfrac{u_0 \times i _1 \times i_2}{2\pi d}\\\\Where; \ \mu_0 = 4\pi \times 10^{-7} , i_13 . \ i_2 = 3 \ d=0.06\)

Substitute all the values in the formula

\(\rm\dfrac{Force}{length}=\dfrac{u_0 \times i _1 \times i_2}{2\pi d}\\\\Where; \ \mu_0 = 4\pi \times 10^{-7} , i_13 . \ i_2 = 3 \ d=0.06\\\\ \dfrac{Force}{length}=\dfrac{4\pi \times 10^{-7} \times 3 \times3}{2\pi \times 0.06}\\\\ \dfrac{Force}{length}= 3 \times 10^{-5} N/m\)

Hence, the magnitude of the force per unit length between the wires is \(3 \times 10^{-5} N/m\).

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Answer:

10*((x/2)+9)=13

Step-by-step explanation:

It is not impossible to construct a frame for a finite population or a target population, but it is impossible to construct a frame for a sampled population.

A frame is a list or map of all the units in a population, which is used to select a sample for a survey or study. If a population is finite, it is possible to list all the units in the population and create a frame. Similarly, if the target population is well-defined and can be identified, a frame can be constructed.

However, if the population is sampled, the frame cannot be constructed because the population is unknown and constantly changing. Therefore, it is impossible to construct a frame for a sampled population.

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The complete question is :

Is it impossible to construct a frame for a sampled population, a finite population, or a target population?

There are a total of 27 ways to select a subset of eight donuts from three types of doughnuts if at most two doughnuts of the first type can be chosen.

Step 1: Determine the number of ways to select two doughnuts of the first type. This can be done in 3 ways (0, 1, or 2 doughnuts of the first type).

Step 2: Determine the number of ways to select the remaining six doughnuts from the other two types. This can be done in 7 ways (0, 1, 2, 3, 4, 5, or 6 doughnuts of the second type and the remaining doughnuts of the third type).

Step 3: Multiply the number of ways to select two doughnuts of the first type by the number of ways to select the remaining six doughnuts from the other two types. This gives us the total number of ways to select a subset of eight doughnuts from three types of doughnuts if at most two doughnuts of the first type can be chosen.

3 * 7 = 21

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Answer:

The third angle is 180-(49+75)=56 degrees

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Answer:

56

Step-by-step explanation:

The mean is 1.17 and the standard deviation is 1.57 .

Calculating the mean:

The mean (μ) can be calculated by summing up the product of each number of parasites (x) and its corresponding frequency (f), and then dividing by the total number of foxes (N).

μ = (0 × 69 + 1 × 17 + 2 × 6 + 3 × 3 + 4 × 1 + 5 × 2 + 6 × 1 + 7 × 0 + 8 × 1) / 100

= 1.17

Calculating the standard deviation:

The standard deviation (σ) measures the dispersion of the data around the mean. We can use the formula for the sample standard deviation, which involves calculating the squared difference between each value and the mean, summing up these squared differences, dividing by the sample size minus one, and taking the square root of the result.

σ = √((Σ(x - μ)² × f) / (N - 1))

= √(((0 - 1.17)² × 69 + (1 - 1.17)² × 17 + (2 - 1.17)² × 6 + (3 - 1.17)² × 3 + (4 - 1.17)² × 1 + (5 - 1.17)² × 2 + (6 - 1.17)² × 1 + (7 - 1.17)² × 0 + (8 - 1.17)² × 1) / 99)

= 1.57

Now that we have the mean (1.17) and the standard deviation (1.57).

we can proceed to construct the box-and-whisker plot:

Draw a number line from the minimum value to the maximum value of the data. In this case, the minimum is 0, and the maximum is 8.

Draw a box from the first quartile (Q1) to the third quartile (Q3). The first quartile is the median of the lower half of the data, and the third quartile is the median of the upper half of the data.

Q1: The 25th percentile corresponds to the 25th fox, so the first quartile is 0 since 69 foxes had 0 parasites.

Q3: The 75th percentile corresponds to the 75th fox, so the third quartile is 2 since 69 + 17 + 6 + 3 = 95 foxes had 2 or fewer parasites, and the next value is 3.

Draw a line inside the box to represent the median. In this case, the median is the 50th percentile, so it is between the 50th and 51st foxes. Since there are 69 foxes with 0 parasites, the median is 0.

Draw "whiskers" extending from the box. The lower whisker will extend to the minimum value (0), and the upper whisker will extend to the maximum value (8).

Any data points that lie outside the whiskers can be represented as individual dots on the plot. In this case, there are no data points outside the whiskers.

The box-and-whisker plot visually represents the distribution of the number of parasites in the sample of 100 foxes.

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The question is incomplete the complete question is :

A random sample of 100 foxes was examined by a team of veterinarians to determine the prevalence of a particular type of parasite. Counting the number of parasites per fox, the vets found that 69 foxes did not have parasites, 17 had a parasite, and so on. The frequencies of the data are presented below: Construct a box-arm plot, based on the mean and standard deviation of the sample. Number of parasites x 0 1 2 3 4 5 6 7 8 Number of foxes f 69 17 6 3 1 2 1 0 1

Answer:

I think it is A (38.47)

Step-by-step explanation:

I believe this because I had a math qouiston like this and when I found this A was the only comen answer and when I clicked on my 38.47 I was right