-11/2 divided by 12/5.

The probability that 3 out of the 4 captured elk have been tagged is approximately 0.0053.

We can use the concept of combinations.

The total number of ways to choose 4 elk out of 24 is given by the combination formula:

C(24, 4) = 24! / (4!(24-4)!) = 10,626

Now, we need to consider the number of ways to choose 3 tagged elk out of the 8 tagged elk and 1 untagged elk. The number of ways to do this is given by:

C(8, 3) * C(1, 1) = 8! / (3!(8-3)!) * 1! / (1!(1-1)!) = 56

Therefore, the probability that 3 out of the 4 captured elk have been tagged is:

P = (Number of ways to choose 3 tagged elk out of 8 tagged elk and 1 untagged elk) / (Total number of ways to choose 4 elk out of 24)

P = 56 / 10,626

Calculating this division gives us the probability:

P ≈ 0.0053

So, the probability that 3 out of the 4 captured elk have been tagged is approximately 0.0053 .

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The  integral diverges, the series also diverges. Therefore, the series Σ 1/(5k+2), k=1, does not converge.

The integral test can be applied to a series if the following conditions are met:

1. The terms of the series are positive.
2. The terms of the series are decreasing.
3. The series has a continuous and positive function that can be integrated over the same interval as the series.

For the series Σ 1/(5k+2), k=1, all of these conditions are satisfied since:

1. The terms of the series are positive because the denominator is always greater than 0.
2. The terms of the series are decreasing because as k increases, the denominator increases and the overall fraction becomes smaller.
3. The function f(x) = 1/(5x+2) is continuous and positive on the interval [1, ∞).

Using the integral test, we can evaluate the convergence of the series by comparing it to the integral of the function f(x) over the same interval, as follows:

∫₁^∞ (1/(5x+2)) dx = (1/5) ln|5x+2| |₁^∞
= (1/5) lim┬(b→∞)⁡(ln|5b+2| - ln|7|) = ∞

Since the integral diverges, the series also diverges. Therefore, the series Σ 1/(5k+2), k=1, does not converge.
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Answer:

The real answer is (-20, 8).

Step-by-step explanation:

I just did the unit test practice or whatever and used the answer above and got it wrong. This is the correct answer.

Answer:

8

Step-by-step explanation:

\(\bar{x}=np=10(0.8)=8\)

To show that matrix C is orthogonal, we need to demonstrate that its transpose multiplied by itself (CTC) equals the identity matrix. In this case.

Let's calculate CTC, where C is a matrix whose columns are the components (x1, y1) and (x2, y2) of two perpendicular unit vectors. The transpose of C, denoted as CT, is obtained by swapping the rows and columns of C. The product of CT and C, denoted as CTC, is computed by multiplying the corresponding elements of the rows of CT with the columns of C.

CT = [[x1, x2], [y1, y2]]

C = [[x1, y1], [x2, y2]]

CTC = [[x1, x2], [y1, y2]] [[x1, y1], [x2, y2]] = [[x1^2 + x2^2, x1y1 + x2y2], [x1y1 + x2y2, y1^2 + y2^2]]

Since the given vectors are perpendicular and each has unit length, their squares add up to 1. Therefore, x1^2 + x2^2 = 1 and y1^2 + y2^2 = 1. Moreover, since the vectors are perpendicular, their dot product x1y1 + x2y2 equals zero.

Thus, CTC simplifies to [[1, 0], [0, 1]], which is the identity matrix. Therefore, CTC equals the identity matrix, proving that matrix C is orthogonal.

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The population proportion who participated in voting (63%) is higher than the sample proportion from this survey (58.91%).

To determine whether the population proportion who participated in voting or the sample proportion from the survey is higher, we need to compare the percentages.

The population proportion who participated in voting is given as 63% of all registered voters.

This means that out of every 100 registered voters, 63 participated in voting.

In the survey of retired voters, 162 out of 275 participants voted. To calculate the sample proportion, we divide the number of retired voters who participated (162) by the total number of retired voters in the sample (275) and multiply by 100 to get a percentage.

Sample proportion = (162 / 275) \(\times\) 100 ≈ 58.91%, .

Comparing the population proportion (63%) with the sample proportion (58.91%), we can see that the population proportion who participated in voting (63%) is higher than the sample proportion from this survey (58.91%).

Therefore, based on the given data, the population proportion who participated in voting is higher than the sample proportion from this survey.

It's important to note that the sample proportion is an estimate based on the surveyed retired voters and may not perfectly represent the entire population of registered voters.

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The calculated value of the tenth term, b₁₀ of the sequence is 78732

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

b₁ = -4

bₙ = 3bₙ₋₁

The above means that

We multiply the current term by 4 to get the next term

So, we have

b₂ = 3 * 4 = 12

b₃ = 3 * 12 = 36

b₄ = 3 * 36 = 108

b₅ = 3 * 108 = 324

b₆ = 3 * 324 = 972

b₇ = 3 * 972 = 2916

b₈ = 3 * 2916 = 8748

b₉ = 3 * 8748 = 26244

b₁₀ = 3 * 26244 = 78732

Hence, the tenth term, b₁₀ of the sequence is 78732

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Answer:

Your answer is A.

Hope this helps!

Step-by-step explanation:

Line r's equation is

y = - 4/3x - 4

And Line s's equation is

y = 2/5x - 2

The polynomial 3x³ 2x² +3 can be written as 3x³ + 2x² + 3. In order to get the polynomial 3x² + 4, we need to add a polynomial which is equal to -3x³ + 5x² + 1.

Therefore, the correct answer is (3) - 3x3 + 5x2 +1.

We can confirm this by performing the following calculation:

3x³ + 2x² + 3 + (-3x³ + 5x² + 1) = 3x² + 4

3x³ + (-3x³) = 0

2x² + 5x² = 7x²

3 + 1 = 4

Therefore, 0 + 7x² + 4 = 3x² + 4, which confirms that the correct answer is  3x3 + 5x2 +1.

3x3 + 5x2 +1 is the polynomial should be added in 3x³ 2x² +3 to get the polynomial 3x² +4.

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The two-decimal-place approximation of the solution to the equation is x ≈ 3.67.

To find the solutions to the equation 3x + 3 = 25 - 3x, we can start by simplifying the equation:

3x + 3x = 25 - 3

6x = 22

x = 22/6

Using a calculator or performing the division, we can find the decimal approximation of x:

x ≈ 3.67

Therefore, the two-decimal-place approximation of the solution to the equation is x ≈ 3.67.

we want to isolate the variable x on one side of the equation. We can do this by combining like terms and performing algebraic operations to simplify the equation.

By adding 3x to both sides of the equation, we eliminate the variable on the right side, and by subtracting 3 from both sides, we isolate the variable on the left side. This leads us to the equation 6x = 22.

To find the value of x, we divide both sides of the equation by 6, which gives us x = 22/6. This is the exact solution of the equation.

However, since the question asks for two-decimal-place approximation, we can use a calculator or perform the division to find x ≈ 3.67.

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Answer:

Hi, there for the graph it will be not a function

For the equation it is also not a function

Step-by-step explanation:

For the graph use   vertical line test to see if the x value are the same if they are that's means it is not a function.

The X value can't be the same and can't be used twice.

The reason why because given an equation, there should be only one corresponding y value for any x value.

Answer:

Total area = lateral area +base area

base area = 2(1/2 BH)

=2(1/2(6×8))

=2(1/2(48))

=2(24)

=48

lateral aream=3(LW)

=3(10×7.5)

=3(75)

=225

Total area = lateral area +base area

=225+48

=273

Answer: It will take three weeks for them both to have the same amount of money saved.

Step-by-step explanation:

35 + 15x = 5 + 25x

30 + 15x = 25x

30 = 10x

3 = x

This gives a result of t = 10, meaning that it will take 10 days for the amount of money in the box to be reduced to 25 cents.

If there are R125 in a box and half of the total is removed each day, it will take 10 days to reduce the total to 25 cents. This is because the total amount is being halved each day, and the amount remaining at the end of each day is the amount left at the start of the day, divided by two. This can be expressed mathematically using the formula\(R125/(2^t)\) = 25, where t is the number of days.If we solve the equation for t, we get t = log2(R125/25). This gives a result of t = 10, meaning that it will take 10 days for the amount of money in the box to be reduced to 25 cents.To calculate this process over the 10 days, we can use the formula \(R125/(2^t)\) for each day, where t is the day number. Starting at day 0, the amount remaining would be R125. At the end of day 1, the amount remaining would be R125/2 = R62.50. At the end of day 2, the amount remaining would be R62.50/2 = R31.25. This process continues until at the end of day 10, the amount remaining would be R0.25.

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c = -880

The intercept for a trendline based on five observations with an average of y = 100 and slope of the line = 22 is -880. This can be calculated using the formula for the equation of a straight line: y = mx + c, where m is the slope and c is the intercept. We know that the slope (m) is 22 and the average of y (the y-intercept) is 100. Plugging in the given values, we get:

100 = 22x + c

c = -880

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Answer:

Step-by-step explanation:

    1/4                     ( x+10)                   =                x -4

one fourth the sum of x and 10 is identical to x minus 4

Answer:

No, both of the numbers are less than one whole and when you multiply them (I got 4/5) 4/5 is less than both of the factors.

Step-by-step explanation:

Each side of cube is 100 cm.

In Maths or in Geometry, a Cube is a solid three-dimensional figure, which has 6 square faces, 8 vertices and 12 edges. It is also said to be a regular hexahedron.

Given that,

Volume of cube = 1 cubic meter

We know that,

1 m = 100 cm

Also  volume of cube = \(a^{3}\)

Then,

Volume of cube = 1000000 cm

                   \(a^{3}\)  = \(100^{3}\)

                   a = 100 cm

Hence, Each side of cube is 100 cm.

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Let,

Number of Advance Tickets = a

Number of Same-Day tickets = s

Given,

Total 45 tickets sold

We can write

Also, each advance ticket cost $15 and same day tickets cost $20 for a total of $825. Thus, we can write:

We will multiply the first equation by - 15 and then add both equations. Then, solve for "s". The steps are shown below:

Now, we can use this value of "s" and put it into Equation 1 and find the value of "a". Shown below:

Answer:

The team can purchase 60 sweatshirts or 45 jackets.

Step-by-step explanation:

Divide 1440 by 24 to get the total number of sweatshirts the team could buy. Then divide 1440 by 32 to get the total number of jackets they could buy.

Answer:

60 sweat shirt because 24÷1440=60

45 jackets because 32÷1440=45

Answer: b= 318

Step-by-step explanation:

7b= 2226

b=   2226/7= 318

Answer:

Whole, natural, integer, rational, real

Step-by-step explanation:

15/5 can be rewritten as 3.

Answer:

sidekick egocentric Jayco

Answer:

600,000 km²

Step-by-step explanation:

Using the exponential regression calculator : the regression fit obtained for the data is :

36510 * (1.08^x)

After 40 years ;

x = 40

Hence,

y = 36510 * 1.08^40

y = 36510 * 21.72452

y = 793,162.27 km

Hence, y is closest to 800,000 km

The rectangular prism with the minimum surface area is the fourth rectangular prism with dimensions 4 × 3 × 3 and a minimum surface area of 108 square units. Therefore, the minimum surface area is 108 square units.

A rectangular prism is being designed to have a volume of 36 cubic units. We want to find the minimum surface area in square units for the prism if the edge lengths are positive integers.The volume of a rectangular prism is given by the formula;V = l × w × hWhere V is the volume, l is the length, w is the width, and h is the height. In this case, the volume of the rectangular prism is 36 cubic units.

V = 36We can find the minimum surface area of a rectangular prism given its volume by using the formula;SA = 2lw + 2lh + 2whWhere SA is the surface area, l is the length, w is the width, and h is the height. We want to minimize SA.So, let's minimize SA using the given information.V = lwh = 36This means that the length, width, and height are not all equal.

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The scientific results to 5.97 x \(10^{24}\) kg is the Earth's mass.

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Checking nonzero rows in the matrix is the first step in determining whether a matrix has an infinite solution. The matrix has an infinite solution if the number of variables is more than nonzero rows, according to this statement.

What does matrix mean?

A matrix is a collection of numbers that have been put in rows and columns to make a rectangular array. The elements, or entries, of the matrix are the integers.

               In addition to many areas of mathematics, matrices are widely used in the fields of engineering, physics, economics, and statistics.

What are types and a matrix?

The dimensions or size of a matrix are determined by these rows and columns. There are several different kinds of matrices, including row matrices, column matrices, null matrices, square matrices, diagonal matrices, and upper and lower triangular matrices.

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Answer:

First, you have to check the nonzero rows in the matrix to determine whether a matrix has an infinite solution. The matrix has an infinite solution if the number of variables is more than nonzero rows, according to this statement.

Step-by-step explanation:

What is a matrix?

A matrix is a collection of numbers that are arranged in a row and column format in a rectangular or square form depending on the size of their rows and columns.

1. Addition: Any numbers of the same index can be added.

2. Subtraction: Any numbers of the same index can be subtracted.

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