an ecologist wishes to mark off a circular sampling region having radius 10 meters. however, the radius of the resulting region is actually a random variable r with the pdf

Yes, rectangles and squares are similar polygons.

Similar polygons are two or more polygons with the same shape but different sizes. This means that the sides of the polygons are proportional, and the angles are congruent. The formula to determine if two polygons are similar is A/a = B/b = C/c = D/d = …, where A, B, C, and D are the sides of one polygon and a, b, c, and d are the sides of the other polygon. For instance, if a rectangle has sides of 4 and 8, and a square has sides of 6 and 6, the ratio of the sides of the rectangle to the sides of the square is 4/6 = 8/6. This means that the two shapes are similar.

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Answer:

123 cm²

Step-by-step explanation:

Refer to attachment.

Hope it helps :)

The sound intensity level should be decreased by 2 dB to carry the studio into consistency with the rules.

A decrease of 2 dB can be accomplished by one or the other by closing down a portion of the machines (since the sound intensity level declines by 6 dB for each splitting of the sound power) or by introducing sound-sealing materials.

Thus, to carry the studio consistent with the rules, 16 machines would need to be closed down.

It's vital to follow well-being and security rules in the working environment to guarantee the prosperity of representatives and forestall hearing harm. Decreasing the number of machines or introducing soundproofing materials can bring the studio into consistency.

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Answer:

49.02

Step-by-step explanation:

Ok, so this is a conversion problem and it wants you to get 45 euros to whatever amount of dollars that equals. So first, you need to get the conversion rate.

1 euro/1.14 dollars

Now, plug in the 43 Euros to the front of the conversion rate

43 euros (1 euro/1.14 dollars)

You want what you start with on the bottom of the conversion factor, so switch the rate around

43 euros (1.14 dollars/1 euro)

Then, multiply what is on top, then divide by what is on the bottom.

49.02 dollars/1=49.02 dollars

The euros go away because they cancelled out.

Answer:

HINDI KO YAN ALAM PASENSIYA NA

Step-by-step explanation:

HAHA

Answer:

y/z.x= 27

x=27.2/9

x=6

answer of it

Answer:    53.213

Step-by-step explanation:

Answer:

AC ≈ 6.25

Step-by-step explanation:

using the tangent ratio in the right triangle

tan36° = \(\frac{opposite}{adjacent}\) = \(\frac{AC}{AB}\) = \(\frac{AC}{8.6}\) ( multiply both sides by 8.6 )

8.6 × tan36° = AC , then

AC ≈ 6.25 ( to 3 SF )

The required population of Florida was 5 million approximately 32.8 years after 1953, which is around 1985.

To find the population of Florida in 1953, we can use the formula:

\(P = Po*(1 + r)^t\)

where P is the population after t years, Po is the initial population, r is the annual growth rate, and t is the number of years.

Let's first find the value of Po. We know that in 1993, the population of Florida was 13 million. Using the formula, we can write:

\(13 = Po*(1 + 0.08)^{40}\)

Simplifying, we get:

\(Po = 13(million) / (1.08)^{40} = 598,402\)

Therefore, the population of Florida in 1953 was 598,402.

Now, to find the population in 1969, we can use the formula again with t = 16:

\(P = 598,402*(1 + 0.08)^{16} = 2,764,715\)

So, the population of Florida in 1969 was approximately 2.8 million.

Finally, to find when the population was 5 million, we can set P = 5 and solve for t:

\(5 = 598,402*(1 + 0.08)^t\)

Taking the logarithm of both sides, we get:

\(t = log(5/598,402) / log(1 + 0.08) = 32.8\)

So, the population of Florida was 5 million approximately 32.8 years after 1953, which is around 1985.

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2.6 pounds based off what I did so I dont know

Answer:

1) The equation in point and slope form is y - 56 = 3·(x - 17)

2) The above equation in slope and intercept form is y =  3·x + 5

3)  The height of the sidling when the botanist received it = 5 inches

4) The height of the tree on week 30 = 7 feet 11 inches

Step-by-step explanation:

The given parameters for the equation are;

The rate of growth of the young tree = 3 inches/week

The current height of the tree = 4 feet  8 inches = 56 inches

The current time since start of growth (time duration of growth) = 17 weeks

With the given information, we have;

The height of the tree, y = The dependent or y-variable

The time for the growth, x = The independent or x-variable

The slope = the rate of growth = 3 inches/week

At week, x = 17, y = 56 inches

1) The information presented in point and slope form is given as follows;

y - 56 = 3·(x - 17)

2) Simplifying the above equation to slope and intercept form, y = mx + c

Where;

m = The slope

c = The y-intercept

We have;

y = 3·x - 51 + 56 = 3·x + 5

y =  3·x + 5

Therefore the y-intercept = 5

3) The y-intercept = 5  which gives the value of the height of the tree at time x = 0 as follows;

At x = 0 when the tree was first received, the height of the tree, y = 3·x + 5 = 5 inches

4) On week 30, the height, y of the tree will be, y = 3 × 30 + 5 = 95 inches = 7 feet 11 inches.

Statement which is correctly identifies the local minimum of the graphed function is given by over the interval \([-1,0.5],\) the local minimum is \(1\).

" Graph is defined as the pictorial representation of the relation between the given variables on the coordinate plane along x-axis and y-axis."

According to the question,

Form the given graph of the function local minimum is given by

a. Over the interval \([-3, -2]\), the local minimum is \(0\):

From the graph value of y coordinate at \(x= -3\) is closest to \(-6\). As per given statement local minimum is zero . \(-6 < 0\)

At \(-2\) closest to \(1\) , \(1 > 0\)

Therefore , local minimum \(=0\)  is not a correct option.

b.  Over the interval\([-2, -1]\), the local minimum is \(2.2.\)

From the graph at \(-2\) closest to \(1\) , \(1 \neq 2.2\).

Moving from \(-2\) to \(-1\) graph is increasing . At \(-1\) y - coordinate is equals to \(2\).

Again \(2\neq 2.2\)

Therefore, it is not a correct option.

c.  Over the interval\([-1, 0.5]\), the local minimum is \(1\)

From the graph at \(-1\) closest to \(2\) ,and keep on decreasing till \(x=0\) .

From \(0\) to \(0.5\) graph keep on increasing.

At \(x= 0\) value of y-coordinate is equals to \(1\) , which represents the local minimum at \(x= 0\) which is in the interval \([ -1, 0.5]\)

At \(x= -1\) y- coordinate is equals to \(2\)

At  \(x= 0.5\) y- coordinate is equals to \(2\)

Local minimum \(= 1\) at \(x=0\)

Therefore, it is a correct option.

d. Over the interval \([0.5, 2],\) the local minimum is \(4.\)

In the given interval graph keeps on increasing \(1\) to \(4\) and so on.

It is not a correct option.

Hence, statement which is correctly identifies the local minimum of the graphed function is given by over the interval \([-1,0.5],\) the local minimum is \(1\).

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The probability of detecting a shift in the fraction nonconforming to 0.04 on the first day after the shift is 0.096

The expected number of nonconforming items out of the 50 items:

0.02 x 50 = 1.

The standard deviation of the number of nonconforming items:

√(50 x 0.02 x (1 - 0.02)) = 0.948.

The expected number of nonconforming items out of the 50 items after the shift:

0.04 x 50 = 2.

The standard deviation of the number of nonconforming items after the shift:

√(50 x 0.04 x (1 - 0.04)) = 1.1.

The Z-score:

(2 - 1) / (1.1 - 0.948) = 0.609.

The probability of detecting a shift in the fraction nonconforming to 0.04 on the first day after the shift:

The probability of detecting a shift in the fraction nonconforming to 0.04 on the first day after the shift is determined by calculating the Z-score. Z-scores measure.

The probability of detecting a shift is calculated using the Z-score and the standard normal distribution.

P(Z > 0.609) = 0.096.

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In each of the following cases, the condition that has not been met before revenue should be recognized is as follows:

a. In the case of Company Alpha accepting a contract to perform services in the future for $4,000, the condition that has not been met is "performance." Revenue should typically be recognized when the performance obligations under the contract are satisfied, meaning that the services have been provided or goods have been delivered.

b. In the case of Company Beta shipping products worth $6,000 to another company without order and offering the option to return the products, the condition that has not been met is "collectibility." Revenue should generally not be recognized until it is probable that the consideration (payment) for the products will be received.

c. In the case of Company Centric performing $20,000 of services for a firm with financial problems, the condition that has not been met is "collectibility." Similar to the previous case, revenue recognition should be postponed until it is probable that the consideration for the services will be received.

d. In the case of Company Radiant agreeing to determine the price later for services performed for another company, the condition that has not been met is "determination of price." Revenue should generally be recognized when the price is fixed or determinable, meaning that the amount to be received can be reasonably estimated.

It's important to note that these determinations are based on general accounting principles and specific circumstances may require professional judgment and interpretation of applicable accounting standards.

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The r-value which suggests a weak negative correlation is B. r = -0.1847.

In statistics, the term "pattern" or "connection" refers to a pattern or relationship between two variables. The degree to which two variables move in opposition to one another is characterized by a negative correlation. For instance, when X and Y are the two variables, a rise in X causes a reduction in Y. Inverse correlation is another name for a negative correlation coefficient. Scatterplots are used to visualise correlation relationships.

We know that the negative correlation weakens as it moves closer to a positive value. From the given values we see that the weakest negative correlation is r = -1847.

Hence, the r-value which suggests a weak negative correlation is B. r = -0.1847.

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Answer:

A.

81π

Step-by-step explanation:

PLEASE MAKE IT BRAINLIEST

PLEASE FOLLOW....

angles , 180° .

A triangle is a three-sided polygon, which has three vertices. The three sides are connected with each other end to end at a point, which forms the angles of the triangle. The sum of all three angles of the triangle is equal to 180 degrees.

Given , the definition of triangle, with blanks:

By the definition:

A triangle is formed by three line segments that intersect to form three __angles___. The sum of the measures of the angle is __180°___.

Hence, blanks will be filled with terms 'angles' and '180°' respectively.

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As a result, the drop at the aqueduct's final destination is 279.84 feet.

Percent is a term used to represent a part or a fraction of a whole expressed as a value out of 100. The word "percent" comes from the Latin phrase "per centum," which means "per hundred." Percentages are commonly used to express ratios or proportions of quantities, and are denoted using the symbol "%". For example, if a student answers 85 out of 100 questions correctly on a test, their score can be expressed as 85%, which represents the proportion of questions they answered correctly out of the total number of questions.

Here,

If an aqueduct has a distance of 53 miles and a slope of 0.1%, we can use the formula:

drop = distance x slope x 5280

where 5280 is the number of feet in one mile.

Substituting the given values, we get:

drop = 53 x 0.1/100 x 5280

= 279.84 feet

Therefore, the drop at the end destination of the aqueduct is 279.84 feet.

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Answer:

It is C. All real numbers less than or equal to -2.

sorry if it wrong-

The Piecewise function is

f(x) = \(\left \{ \right.\) 0,    x<5

          5,     5<x<11

          7,      11<x< 16

A function that is defined piecemeal is one that has numerous subfunctions, each of which applies to a distinct interval in the domain. Instead of being a property of the function itself, piecewise definition is a means to express the function.

A piecewise function is a function that is constructed from bits of various functions across various time intervals.

Given:

let x be the age of person.

We have,

let f(x) represents the piecewise function

f(x) = \(\left \{ \right.\) 0,    x<5

          5,     5<x<11

          7,      11<x< 16

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A triangle has all three angles summing up to 180. If two of the sides measure 40 degrees and 50 degrees, then the third side measures as follows;

The third angle, which is labelled as angle A measures 90 degrees, and that means the triangle is a "right angled triangle."

Answer:

I believe the answer is 39.368, if we round that it makes it, 39.4

Step-by-step explanation:

Answer:

so assuming you mean 12-5x+12^2 the simplified form of the expression would be 156-5x

Step-by-step explanation:

if this want what you meant let me know and I will try to help

a)The probability of a randomly selected pilot's weight being between 120 lb and 171 lb is approximately 0.5324. b)If 39 different pilots are randomly selected, the probability that their mean weight is between 120 lb and 171 lb can be calculated.

To find the probability that a randomly selected pilot's weight is between 120 lb and 171 lb, we need to calculate the z-scores for these weights and use the standard normal distribution.

The z-score formula is given by

z = (x - μ) / σ, where x is the weight, μ is the mean weight, and σ is the standard deviation.

For the lower limit of 120 lb, the z-score is (120 - 130) / 31.1 = -0.322. For the upper limit of 171 lb, the z-score is (171 - 130) / 31.1 = 1.319.

Using a standard normal distribution table or a calculator, we can find the probability associated with these z-scores. The area between -0.322 and 1.319 is approximately 0.5324.

For part b, if 39 different pilots are randomly selected, we can use the Central Limit Theorem to approximate the distribution of their mean weight as a normal distribution. The mean of the sample means will still be 130 lb, but the standard deviation of the sample means, also known as the standard error, will be σ / √n, where n is the sample size (39 in this case). Using the same z-score formula, we can calculate the z-scores for 120 lb and 171 lb based on the standard error. The probability can then be found using the z-scores and the standard normal distribution table or calculator.

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The value of R(x) term is 36.

We are given that;

The equation x³ + 2x² - 72x - 28

Now,

We divide the first term, 8x, by the first term of d(x), which is x. This gives us 8, which is the third term of Q(x). We write 8 above the division bar and multiply it by d(x), which gives us 8x - 64. We subtract this from the new dividend, which gives us 36.

Since we cannot divide 36 by x-8 any further, we stop here and write 36 as the remainder R(x).

   x² + 10x + 8

  _______________

x-8 | x³ + 2x² - 72x - 28

    - (x³ - 8x²)

    -------------

        10x² - 72x

      - (10x² -80x)

      -------------

             8x -28

           - (8x -64)

           ----------

                36

Q(x) = x² + 10x + 8 and R(x) = 36.

Therefore, by the equation the answer will be R(x) = 36.

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Answer:

1/64 or 0.015625

Step-by-step explanation:

Answer:

A.32.10

Step-by-step explanation:

You have to remember to subtract the $35 then start to figure out how much he paid every month for a year.

The number of angles that are formed by the intersection of the diagonals is 4.

A square is a four-equal-sided figure with diagonals cut perpendicular to each other, with a total of four angles formed by diagonals.

It is a geometrical figure with four sides, each of which must be equal, and an angle of 90 degrees between two adjacent sides.

Square area = Side²

The square's perimeter = 4 sides

Every square contains two diagonals. The intersection angle of both diagonals is 90 degrees. The number of diagonal angles equals four.

Therefore, the correct option is 4.

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Complete question

How many angles are formed by the intersection of the diagonals in a square?

The number of observations in a complete data set with 10 elements and 5 variables is a. data.

In the context of data analysis, a complete data set refers to a collection of data that includes all the required observations or cases. In this scenario, the data set consists of 10 elements, which represent the individual observations or data points. Each element is associated with 5 variables, which are the characteristics or attributes being measured or observed.

Therefore, the number of observations in this data set is determined by the number of elements, which is 10. The term "observations" refers to the individual data points or cases in the data set. The other options, such as "variables" and "elements," do not accurately represent the count of observations in this context.

Hence, the correct answer is a. data, indicating that the number of observations in the complete data set is determined by the number of elements, which in this case is 10

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