transformation takes figure G to figure H?

Step-by-step explanation:

\( {x}^{2} + 5x + 6\)

\( {x}^{2} + 6x - x + 6\)

\(x(x + 6) - 1(x + 6)\)

\((x - 1)(x + 6)\)

The probability as a Fraction:  5400/5625

Decimal Number: 0.96

Percentage: 96%      

What is probability?

A probability is a numerical representation of the likelihood or chance that a specific event will take place. Both proportions ranging from 0 to 1 and percentages ranging from 0% to 100% can be used to describe probabilities.

Here, we have

Given the animal total in the park number marked

We have to find the probability of the next elk caught in the park being unmarked.

There are a total of 5625 elks in the park. 225 of those are marked.

5625 - 225 = 5400

So, 5400 elks are not marked yet.

5400/5626 = 0.96 = 96%

Hence, 0.96 is the probability of the next elk caught in the park being unmarked.

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Answer:$3.89

Step-by-step explanation:

divide 35.01 by 9 and then you get the answer $3.89

The equation would be y = kx with k being a constant.

Assuming the gravitational force is y and the mass of the body is x. y is directly proportional to the x.

Mathematically,

y = kx where k = constant.

If y = 19.6 Newtons and x = 2 kg, then

k = y/x = 19.6/2 = 9.8.

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the probability of both the husband and wife being audited is relatively low at 0.09, while the probability of at least one of them being audited is higher at 0.51

(a) The probability that both the husband and the wife will be audited can be calculated as the product of the individual probabilities that each of them is audited, since the audits are assumed to be independent events. Therefore, the probability that both of them will be audited is:

P(both audited) = P(husband audited) * P(wife audited) = 0.3 * 0.3 = 0.09

(b) The probability that only one of them will be audited can be calculated by considering the two cases: either the husband is audited and the wife is not, or the wife is audited and the husband is not. Since these are mutually exclusive events, we can add their probabilities to get the total probability. Therefore, the probability that only one of them will be audited is:

P(only one audited) = P(husband audited) * P(wife not audited) + P(husband not audited) * P(wife audited) = 0.3 * 0.7 + 0.7 * 0.3 = 0.42

(c) The probability that neither one of them will be audited is the complement of the probability that at least one of them will be audited. Therefore, we can subtract the probability of at least one audit from 1 to get:

P(neither audited) = 1 - P(at least one audited)

(d) To calculate the probability that at least one of them will be audited, we can use the complement rule and subtract the probability that neither of them will be audited from 1. Therefore:

P(at least one audited) = 1 - P(neither audited)

= 1 - (0.7 * 0.7)

= 1 - 0.49

= 0.51

In conclusion, the probability of both the husband and wife being audited is relatively low at 0.09, while the probability of at least one of them being audited is higher at 0.51. However, it is important to note that these are only probabilities and the actual outcome may differ from these estimates. Therefore, taxpayers should always be honest and accurate in their tax returns to avoid the potential consequences of an audit.

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Answer:

B

Step-by-step explanation:

Answer:

N = I ( 1 + 50% )^t

Step-by-step explanation:

Given that The population of Columbus in 2015 was 840,000 people. In 2018 (three years later), The population grew to 972,405 people.

Write an exponential equations that models this situation.

From the question, the following parameters are given :

Initial number of population = 840,000

The new number of population = 972,405

The number of years = 3

Let the initial population = I

The new population = N

And the number of years = t

Since the population is increasing, the exponential equation can be written as

N = I ( 1 + R% )^t

Where R% is the percentage increase.

Solve for R

972405 = 840,000 ( 1 + R% )^3

972405/840000 = ( 1 + R% )^3

1.157625 = ( 1 + R% )^3

( 1 + R% ) = 1.05

Make R% the subject of formula

R% = 1.05 - 1

R% = 0.5

R = 0.5 × 100

R = 50%

Therefore, the exponential equations that models this situation can be expressed as:

N = I ( 1 + 50% )^t

(a) n = 5, p = .50.

μ = np = 5(.50) = 2.5

σ = sqrt(np(1-p)) = sqrt(5(.50)(1-.50)) = sqrt(1.25) = 1.118

Therefore, μ = 2.5 and σ = 1.118.

(b) n = 1, p = 0.25.

μ = np = 1(0.25) = 0.25

σ = sqrt(np(1-p)) = sqrt(1(0.25)(1-0.25)) = sqrt(0.1875) = 0.433

Therefore, μ = 0.25 and σ = 0.433.

(c) n = 100, p = 0.95.

μ = np = 100(0.95) = 95

σ = sqrt(np(1-p)) = sqrt(100(0.95)(1-0.95)) = sqrt(4.75) = 2.179

Therefore, μ = 95 and σ = 2.179.

(d) n = 20, p = .01.

μ = np = 20(.01) = 0.2

σ = sqrt(np(1-p)) = sqrt(20(.01)(1-.01)) = sqrt(0.198) = 0.445

Therefore, μ = 0.2 and σ = 0.445.

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In the given Markov chain, State 1 is absorbing, State 4 is periodic, State 1 is recurrent, and States 3, 4, and 5 are recurrent.

A Markov chain is a stochastic model that represents a sequence of states where the probability of transitioning from one state to another depends only on the current state. Let's analyze the given Markov chain to determine the properties of each state.

State 1: This state has a probability of 1 in the first row, indicating that it is an absorbing state. An absorbing state is one from which there is no possibility of leaving once it is reached. Therefore, statement a) is correct, and State 1 is absorbing.

State 2: There are no transitions from State 2 to any other state, which means it is an absorbing state as well. However, since it is not explicitly mentioned in the question, we cannot determine its status based on the given information.

State 3: This state has non-zero probabilities to transition to other states, indicating that it is not absorbing. Furthermore, it has a loop back to itself with a probability of 1/6, making it recurrent. Hence, statements c) and e) are incorrect, while statement f) is correct. State 3 is recurrent.

State 4: State 4 has a transition probability of 1/3 to State 3, which means there is a possibility of leaving this state. However, there are no outgoing transitions from State 4, making it an absorbing state. Moreover, since there is a loop back to itself with a probability of 2/3, it is also recurrent. Therefore, statement b) is correct, and State 4 is periodic and recurrent.

State 5: Similar to State 4, State 5 has a transition probability of 2/3 to State 3 and no outgoing transitions. Hence, State 5 is also an absorbing and recurrent state. Consequently, statement e) is correct.

To summarize, State 1 is absorbing and recurrent, State 4 is periodic and recurrent, and States 3 and 5 are recurrent.

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Answer:

28.79 cm.

Step-by-step explanation:

The perimeter of a semicircle is equal to the sum of the diameter (which is twice the radius) and half of the circumference of the circle.

The diameter of the semicircle is 2 × 5.6cm = 11.2cm.

The circumference of a full circle with radius 5.6cm is 2π × 5.6cm = 11.2π cm.

Therefore, the circumference of the semicircle is 1/2 of the circumference of the full circle, which is 1/2 × 11.2π cm = 5.6π cm.

The perimeter of the semicircle is the sum of the diameter and the circumference, which is:

11.2cm + 5.6π cm ≈ 28.79cm (rounded to two decimal places)

Therefore, the perimeter of the semicircle is approximately 28.79 cm.

Answer:

pi ( 5.6 ) + 11.2 or approximately 28.79291 cm

Step-by-step explanation:

The outside of the semicircle or the perimeter is 1/2 of the circumference and the length that closes the circle is the diameter.

Perimeter = 1/2 C + d

                 = 1/2 *pi*d + d

The diameter is 2 times the radius.

                 = 1/2 ( pi) * (2r) + 2r

                  = pi r + 2 r

                   = pi ( 5.6 ) + 11.2

Approximating pi, we get approximately 28.79291

9514 1404 393

Answer:

  3.14 units

Step-by-step explanation:

The formula for the length of an arc is ...

  s = rθ

where r is the radius of the circle, and θ is the central angle in radians.

__

The relationship between degrees and radians is ...

  180° = π radians

If we divide this equation by 3, we see ...

  60° = π/3 radians

__

The radius is given as 3 units, so the arc length is ...

  s = (3 units)(π/3) = π units

The arc length is 3.14 units.

Answer: √5

Have a great day

Step-by-step explanation:

      idddddddddddddddkkkkkkkkkkkkkkkkkkkkkkkk annnnthinggggggg            

Answer:

5x/7-7

Step-by-step explanation:

your welcome , tell me if I'm wrong

Answer:

B

Step-by-step explanation

Answer:

sorry I can't help you with this answer

Step-by-step explanation:

video and I will be done with and decor is he

Rhian scored more in the Math test than in the English test because she had a higher percentage

An equation is an expression that shows the relationship between two or more numbers and variables.

Given that: In the Maths test, Rhian scored 14 out of 17, hence:

Mark percentage = (14 / 17) * 100% = 82.35%

In the English test, Rhian scored 31 out of 39, hence:

Mark percentage = (31 / 39) * 100% = 79.49%

Rhian scored more in the Math test.

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Answer: 1.0cm

Step-by-step explanation:

Given the following :

Volume = Mass / Density

Given that:

Mass of spherical grape = 8.4g

Density = 2g/cm^3

Radius of the grape =?

Volume of grape = mass of grape / density of grape

Volume = 8.4g / 2g/cm^3

Volume = 4.2cm^3

Volume of a sphere = (4/3)πr^3

4.2 = 4/3 * 3.14 * r^3

4.2 = (12 * r^3) / 3

4.2 × 3 = (12 * r^3)

12.6 = 12r^3

r^3 = 12.6/12

r^3 = 1.05

r = 1.01639635681

r = 1.0 cm ( to the nearest tenth)

Answer:

1.0 cm

Step-by-step explanation:

Answer:

x = -1.434, x = -0.232

Step-by-step explanation:

Answer:

Malcom's maximum speed = 200 km/h

Ravi's maximum speed = 320 km/h

Step-by-step explanation:

Let m = Malcom's maximum speed

Let r = Ravi's maximum speed

Average of their maximum speed would be represented as \( \frac{m + r}{2} = 260 \)

\( m + r = 520 \).

Make m the subject of the formula by subtracting r from both sides:

\( m = 520 - r \). Let this be equation 1.

Given that Malcom's speed (m), when doubled is 80 km/h more than that of Ravi (r). This can be expressed as: \( 2m = r + 80 \). This is equation 2.

Plug in (520 - r) into equation 2 to replace m:

\( 2(520 - r) = r + 80 \)

\( 1040 - 2r = r + 80 \)

Solve for r. Subtract 1040 from both sides:

\( 1040 - 2r - 1040 = r + 80 - 1040 \)

\( - 2r = r - 960 \)

Subtract r from both sides

\( - 2r - r = r - 960 - r \)

\( - 3r = - 960 \)

Divide both sides by -3

\( \frac{-3r}{-3} = \frac{-960}{-3} \)

\( r = 320 \)

To find m, plug in the value of r into equation 1.

\( m = 520 - r \). =>Equation 1

\( m = 520 - 320 \)

\( m = 200 \).

Malcom's maximum speed = m = 200 km/h

Ravi's maximum speed = r = 320 km/h

Let's perform the required calculations:

(a) ||A||:

To find the norm of matrix A, we need to take the square root of the sum of the squares of its elements:

||A|| = √(1^2 + 1^2 + (-1)^2 + 0^2 + 1^2 + 8^2) = √(1 + 1 + 1 + 0 + 1 + 64) = √68 ≈ 8.246

(b) ||B||:

Similarly, we find the norm of matrix B:

||B|| = √((-1)^2 + 1^2 + 1^2 + 1^2) = √(1 + 1 + 1 + 1) = √4 = 2

(c) A + B:

To add matrices A and B, we simply add the corresponding elements:

A + B = [1 + (-1) 1 + 1 -1 + 1 0 + 1 8 + 1 0 + 1] = [0 2 0 9 1]

(d) ||A + B||:

To find the norm of matrix A + B, we perform a similar calculation as in (a):

||A + B|| = √(0^2 + 2^2 + 0^2 + 9^2 + 1^2) = √(0 + 4 + 0 + 81 + 1) = √86 ≈ 9.274

Therefore, the results are:

(a) ||A|| ≈ 8.246

(b) ||B|| = 2

(c) A + B = [0 2 0 9 1]

(d) ||A + B|| ≈ 9.274

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To do content analysis on the characteristics people seek in a partner by examining the personals section of three newspapers the unit of analysis will be objective of the section.

Given that we are interested in doing content analysis on the characteristis people seek in a partner by examining the personals section of three newspaper.

Content analysis is basically a research tool used to determine the presence of certain words, themes,or concepts within some given qualitative data. Using content analysis, a researchers can quantify and analye the presence meanings and relationships of such certain words, themes and concepts.

When we are required to do content analysis by examining the personals section of three newspapers, its units can be objective of section. Some part is related to matrimonials, some are for rent,etc.and some are for commercial advertisements.

Hence the unit of analysis is objective of the section.

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The quadratic function is C(t) = - t² + 5.

We know the equation of the parabola will be given as,

y = a(x - h)² + k

From the table, the coordinate of the vertex will be at (0, 5).

So, the equation can be

C(t) = a(t - 0)² + 5

C(t) = at² + 5

Since, the equation is passing through the point (1, 4)

4 = a (1²) + 5

4 = a + 5

a = - 1

Thus, the required equation is C(t) = - t² + 5.

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Answer:

you can set up a proportion

16.0/130  = x/2150

by cross multiplying you get

130x = 34400

divide by 130 and get

x-264.62