Find the mode, median, and mean of each data set ( ASAP pls can someone help me )

Answer:

12 is the GCF..........

Answer:

12

Step-by-step explanation:

listing the factors

12 : 1, 2, 3, 4, 6, 12

24 : 1, 2, 3, 4, 6, 8, 12, 24

36 : 1, 2, 3, 4, 6, 9, 12, 18, 36

The common factors are 1, 2, 3, 4, 6, 12

The GCF is 12

Answer:

the answer is -7

Step-by-step explanation:

Answer:

Number of maple trees planted = 462

Step-by-step explanation:

Let the number of oak trees planted be x.

Given,

The number of maple trees is 11 times the number of oak trees.

Therefore,

Number of maple trees planted = 11 * x = 11x

Total number of trees planted = Number of oak trees planted + Number of maple trees planted

504 = x + 11x

504 = 12x

x = 504/12 = 42

Number of oak trees planted = x = 42

Number of maple trees planted = 11x = 11 * 42 = 462

We have that the  side of the house will the ladder reach given as

x'=45ft

From the question we are told that

52 foot ladder

it reaches up 48 feet

7 feet farther from the house,

Generally the Pythagoras equation for the length is mathematically given as

\(x^2+48^2=52^2\\\\x=20\)

Now with the new position the distance of ladder top from ground is

\(x'^2+(20+7)^2=52^2\\\\x'=44.4\\\\x'=45ft\)

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To calculate the Value-at-Risk (VaR) for this investment at a 99% confidence level, we need to determine the loss amount that will be exceeded with a probability of only 1% (i.e., the worst-case loss that will occur with a 1% chance).

Given that there is a 0.5% chance of a loss of $10 million and a 99.5% chance of a loss of $1 million, we can express this as:

Loss Amount | Probability

$10 million | 0.5%

$1 million | 99.5%

To calculate the VaR, we need to find the loss amount that corresponds to the 1% probability threshold. Since the loss of $10 million has a probability of 0.5%, it is less likely to occur than the 1% threshold. Therefore, we can ignore the $10 million loss in this calculation.

The loss of $1 million has a probability of 99.5%, which is higher than the 1% threshold. This means that there is a 1% chance of the loss exceeding $1 million.

Therefore, the Value-at-Risk (VaR) for this investment at a 99% confidence level is $1 million.

The Value-at-Risk (VaR) for this investment at a 99% confidence level is $1,045,000.

To calculate the Value-at-Risk (VaR) for this investment at a 99% confidence level, we need to determine the loss amount that will be exceeded with only a 1% chance.

Given that the investment has a 0.5% chance of a loss of $10 million and a 99.5% chance of a loss of $1 million, we can calculate the VaR as follows:

VaR = (Probability of Loss of $10 million * Amount of Loss of $10 million) + (Probability of Loss of $1 million * Amount of Loss of $1 million)

VaR = (0.005 * $10,000,000) + (0.995 * $1,000,000)

VaR = $50,000 + $995,000

VaR = $1,045,000

Therefore, the Value-at-Risk (VaR) for this investment at a 99% confidence level is $1,045,000.

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Answer:

32.9 or just round it off and make it 33. both are correct

Step-by-step explanation:

tany=21/32.4

y= tan^-1(21/32.4)

y= 32.9 or 33

Answer: 32% of 6.25=2

Step-by-step explanation: Each percentage is multiplied by 2, while each number starting with 100 is divided by 2. Each result is the then number 2.

The solution to the system of equations is: x = 15/4 and y = 7/2.

The system is dependent and infinite solutions exist.

Unique solution to the system.

infinite number of solutions

a. To solve the system of equations algebraically:

eq.1: 2x + 3y = 18

eq.2: 5x - 3y = 3

Multiply eq.1 by 3 and eq.2 by 2 to eliminate y:

6x + 9y = 54

10x - 6y = 6

Add the equations together to eliminate y:

16x = 60

x = 60/16

x = 15/4

Substitute the value of x

2(15/4) + 3y = 18

15/2 + 3y = 18

3y = 18 - 15/2

3y = 36/2 - 15/2

3y = 21/2

y = 7/2

Therefore, the solution to the system of equations is:

x = 15/4

y = 7/2

b. To solve the second system of equations algebraically:

eq.3: x - 4y - 6 = 0

eq.4: 3x - 12y = 18

Multiply eq.3 by 3 to eliminate x:

3x - 12y - 18 = 0

3x - 12y = 18

These equations are equivalent, so they represent the same line. The system is dependent and infinite solutions exist.

2. Graph each system of linear equations from step 1 and compare the graphs to the algebraic solutions.

For system a:

eq.1: 2x + 3y = 18

eq.2: 5x - 3y = 3

The graph of these equations is a system of two intersecting lines. By solving algebraically, we found the point of intersection, which is the unique solution to the system.

For system b:

eq.3: x - 4y - 6 = 0

eq.4: 3x - 12y = 18

The graph of these equations is a system of two coincident lines. By solving algebraically, we found that the equations represent the same line, indicating an infinite number of solutions.

3. Solve each system of linear equations algebraically:

a. 5x + 2y = 10

  5x + 2y = 8

Subtract eq.2 from eq.1 to eliminate variables:

(5x + 2y) - (5x + 2y) = 10 - 8

0 = 2

The equation 0 = 2 is inconsistent and has no solution. The system of equations is inconsistent.

b. 7x - 3y + 4 = 0

  14x - 6y + 6 = 0

Multiply eq.1 by 2 to eliminate x:

14x - 6y + 8 = 0

14x - 6y + 6 = 0

Subtract eq.2 from eq.1 to eliminate variables:

(14x - 6y + 8) - (14x - 6y + 6) = 0

8 - 6 = 0

2 = 0

The equation 2 = 0 is inconsistent and has no solution. The system of equations is inconsistent.

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Answer:

80 percent blue

Step-by-step explanation:

count how many marbles are in the bag and that will declare your answer

During plantation sunflower was 15 inches tall , then grow at the rate of 2 inches per week , after 9 weeks sunflower would be 33 inches tall.

As given in the question,

During plantation sunflower was 15 inches tall

Rate of growth per week = 2 inches

Let x be the number of weeks and y be the height of the plant.

Required height :

y = 15 + 2x

Change in the height of sunflower after 9 weeks

y =15 +2x

 = 15 + 2(9)

 = 15 +18

  = 33 inches

Therefore, during plantation sunflower was 15 inches tall , then grow at the rate of 2 inches per week , after 9 weeks sunflower would be 33 inches tall.

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Answer:

5.371 × 10 to 0 power

Answer:

\(\sf 5.371 * 10^0\)

The result of -6 x 4 is -24.

To understand why this is the case, it's important to remember the basic rules of multiplication. When we multiply two numbers together, we are essentially adding one number a certain number of times. For example, 3 x 4 can be thought of as adding 4 three times: 4 + 4 + 4 = 12

In this case, we are multiplying -6 and 4 together. So we are taking -6 and adding it to itself four times: -6 + -6 + -6 + -6 = -24.

It's important to note that the order of the numbers being multiplied does not change the result. So -6 x 4 is the same as 4 x -6, which would also equal -24.

It's also important to remember that when one of the numbers being multiplied is negative, the result will also be negative. So, -6 x 4 = -24                      

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Performing the calculations, we find that the value of Σxy is 2017. To calculate the value of Σxy, we need to use the given information and the formula for calculating the sum of the products of x and y values.

The formula for Σxy is:

Σxy = Σ( x * y )

Given information:

Regression equation: y = 11.37395 + 2.82773x

Σy = 255

Σy² = 8621

Σx² = 480

n = 8

To find Σxy, we can rearrange the regression equation to solve for x:

x = (y - 11.37395) / 2.82773

Now, let's calculate the value of Σxy step-by-step:

Calculate x for each y value using the rearranged regression equation:

x₁ = (y₁ - 11.37395) / 2.82773

x₂ = (y₂ - 11.37395) / 2.82773

x₃ = (y₃ - 11.37395) / 2.82773
  ...

x₈ = (y₈ - 11.37395) / 2.82773

Calculate the product of x and y for each pair:

xy₁ = x₁ * y₁

xy₂ = x₂ * y₂

xy₃ = x₃ * y₃
  ...

xy₈ = x₈ * y₈

Sum up all the calculated xy values:

Σxy = xy₁ + xy₂ + xy₃ + ... + xy₈

Now, let's perform the calculations:

Calculate x for each y value:

x₁ = (255 - 11.37395) / 2.82773

x₂ = (255 - 11.37395) / 2.82773

x₃ = (255 - 11.37395) / 2.82773
  ..

x₈ = (255 - 11.37395) / 2.82773

Calculate the product of x and y for each pair:

xy₁ = x₁ * y₁

xy₂ = x₂ * y₂

xy₃ = x₃ * y₃
  ...

xy₈ = x₈ * y₈

Sum up all the calculated xy values:

Σxy = xy₁ + xy₂ + xy₃ + ... + xy₈

Performing the calculations, we find that the value of Σxy is 2017.

Therefore, the correct answer is C. 2017.

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The statement that is not true is the fourth one.

"Other points that are on line f are also solutions of the system".

We know that the graphs of lines f and g intercept at the point (4, 5). So trivially, the point (4, 5) belongs to both graphs.

That also means that (4, 5) is the solution of the system of equations:

y = f(x)

y = g(x).

And because these two are lines, these will intercept only once, then (4, 5) is the only solution of the system.

That means that the correct option (the false statement) is the fourth one.

"Other points that are on line f are also solutions of the system".

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The probability that the second dice lands on an even number given that the first one landed on an odd number is 1/2 or 0.5.

Step-by-Step Explanation:Let A be the event that the first dice rolls an odd number, and let B be the event that the second dice rolls an even number. We want to find P(B|A), which is the probability of B given A. This can be found using the formula:P(B|A) = P(A and B) / P(A) We know that P(A) = 1/2, as half the numbers on a six-sided dice are odd.

To find P(A and B), we need to find the probability that both dice roll the desired numbers simultaneously. Since we know that the first dice rolled an odd number, only half of the numbers are possible for the second dice to be even. Therefore, P(A and B) = 1/2 x 1/2 = 1/4. So:P(B|A) = P(A and B) / P(A) = (1/4) / (1/2) = 1/2 or 0.5. Therefore, the probability that the second dice lands on an even number given that the first one landed on an odd number is 1/2 or 0.5.

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Without using a calculator, the trigonometric expressions simplify to:

1. sin^(-1)(sin(θ/6)) = θ/6

2. cos^(-1)(cos(5/4)) = 5/4

3. tan^(-1)(tan(5/6)) = 5/6.

To compute the trigonometric expressions without using a calculator, we can make use of the properties and relationships between trigonometric functions.

1. sin^(-1)(sin(θ/6)):

Since sin^(-1)(sin(x)) = x for -π/2 ≤ x ≤ π/2, we have sin^(-1)(sin(θ/6)) = θ/6.

2. cos^(-1)(cos(5/4)):

Similarly, cos^(-1)(cos(x)) = x for 0 ≤ x ≤ π. Therefore, cos^(-1)(cos(5/4)) = 5/4.

3. tan^(-1)(tan(5/6)):

tan^(-1)(tan(x)) = x for -π/2 < x < π/2. Thus, tan^(-1)(tan(5/6)) = 5/6.

Hence, without using a calculator, we find that:

sin^(-1)(sin(θ/6)) = θ/6,

cos^(-1)(cos(5/4)) = 5/4,

tan^(-1)(tan(5/6)) = 5/6.

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Answer:

d. 13 inches

Step-by-step explanation:

Right of the bat, we can choose 13 because the two triangle sides must be greater than one. 5+8=13, so the triangle would not be complete.

Answer:

1st option

Step-by-step explanation:

the constant of proportionality is the cost divided by number of patrons

$49.96 ÷ 4 = $12.49

$74.94 ÷ 6 = $12.49

$87.43 ÷ 7 = $12.49

Thus each movie ticket costs $12.49

Answer: 52

Step-by-step explanation:

x + y = 12 and

$3.50x + $5.50y = $52

x + y = 12

x-x + y = 12 - x

y = 12 - x

$3.50x + $5.50 (12-x) = $52

3.50 x + 66 - 5.50x = 52

66-2x= 52

66-66-2x= 52-66

-2x = -14

2x = 14

x = 7

y = 12 - x

y = 12 - 7 = 5

Hence, you bought 7 calla lilies and 5 peonies!

Check:

3.50 (7) + 5.50 (5) = 24.50 + 27.50 = 52

Greetings! Hope this helps!

Answer

-8

Explanation

(5m-2n) / p^2

((5(8))-(2(4)) / -2^2

(40-8) /-2^2

32 / -2^2

32/-4

-8

Have a good day!

_______________

A brainliest would help tons! :D

So, we are given the following equation...

(5m-2n)/p^2

But we are given a heads up that m=8, n=4, and p=-2.

So that changes the equation to the following...

(58-24)/-2^2

Remove unneeded parentheses.

Our new equation is 58-24/-2^2

Subtract 58 from 24.

58-24=34.

Find -2^2

-2^2=-4

Now, we divide 34 by -4 and we get -8.5

-8.5 is your final answer!

If this helped please mark me as brainliest!

The required number of miles in 10 kilometer is equivalent to  6.21371 miles.

A kilometer (km) is a metric unit of length, while a mile (mi) is an imperial unit of length. To convert kilometers to miles, one can use the conversion factor of 0.621371. This means that for every kilometer, there are 0.621371 miles.

Therefore, 10 kilometers is equivalent to 10 x 0.621371 = 6.21371 miles. To put it in simpler terms, 10 kilometers is approximately equal to 6.21 miles.

It's important to note that this conversion factor is an approximation and the actual conversion factor might vary slightly based on the precision required. In everyday use, it's accurate enough for most purposes.

Converting between kilometers and miles can be useful for a variety of purposes, such as converting distances for travel plans, converting distances in different countries, and calculating distances for various applications.

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Complete question:

how many miles is a 10km?

Answer:

\(diagonal \: of \: square = a \sqrt{2} \\ 12 = a \sqrt{2} \\ \frac{12}{ \sqrt{2} } = a \\ \: a = 6 \sqrt{2} \\ now \: area \: of \: square = {l}^{2} \\ = (6 \sqrt{2) {}^{2} } \\ = 72cm {}^{2} \\ again \: perimeter \: of \: square = 4l \\ = 4 \times (6 \sqrt{2} ) \\ = 33.94cm\)

The general term of the given sequence aₙ can be shown as, aₙ = (-8)(-2/3)ⁿ⁻¹.

In the question, we are asked to find a formula for the general term aₙ of the sequence, assuming that the pattern of the first few terms continues. (assume that n begins with 1.) −8, 16/3, − 32/9, 64/27, − 128/81, ...

The given sequence is a geometric progression, where every term is the product of the previous term and a common ratio, which can be calculated as: r = a₂/a₁ = (16/3)/(-8) = -2/3.

The formula for the general term of a geometric sequence is given as, aₙ = arⁿ⁻¹, where a = a₁, the first term of the geometric sequence.

Substituting the values, we get:

aₙ = (-8)(-2/3)ⁿ⁻¹.

Thus, the general term of the given sequence aₙ can be shown as, aₙ = (-8)(-2/3)ⁿ⁻¹.

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The provided question is incomplete. The complete question is:

"Find a formula for the general term aₙ of the sequence, assuming that the pattern of the first few terms continues. (assume that n begins with 1.) −8, 16/3, − 32/9, 64/27, − 128/81, ..."

There are 4²⁴ possible ways to complete the multiple-choice test consisting of 24 questions, with each question having four possible answers.

We have 24 questions with each having 4 possible outcomes. If we had a question, then we would have 4 ways of answering question 1 and for each of the four answers in question 1, we would have four ways of answering question 2. So, we have 4² ways of answering the questions.

Like this, we have 24 questions. There are four ways to choose an answer to each question. By counting principle, we multiply the number of choices at each step and then we have -

= 4×4×4×4...= 4²⁴ ways to complete the test

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The amount of money in Sam's account in 2016, after investing $3,890 with an annual interest rate of 4.8% compounded annually, can be approximated as $3,890 multiplied by 1.048 raised to the power of 17. It can be calculated as approximately $7,536.48

To calculate the amount of money in Sam's account in 2016, we need to consider the annual compounding interest. The formula to calculate the future value of an investment with compound interest is:

\(\[A = P \left(1 + \frac{r}{n}\right)^{n(t-t_0)}\]\)

Where:

\(A\) is the future value of the investment

\(P\) is the principal amount (initial investment)

\(r\) is the interest rate (in decimal form)

\(n\) is the number of times interest is compounded per year

\(t\) is the number of years

\(\(t_0\)\) is the initial year

Given that Sam's initial investment is $3,890 in 1999, the interest rate is 4.8% (0.048 in decimal form), and interest is compounded annually, we can plug these values into the formula:

\(\[A = 3890 \left(1 + \frac{0.048}{1}\right)^{(2016-1999)}\]\)

Simplifying the equation, we find:

\(\[A \approx 3890 \times (1.048)^{17}\]\)

It can be calculated as approximately $7,536.48

Therefore, The amount of money in Sam's account in 2016, after investing $3,890 with an annual interest rate of 4.8% compounded annually, can be approximated as $3,890 multiplied by 1.048 raised to the power of 17. It can be calculated as approximately $7,536.48.

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Answer:

C is the correct answer

The information on the congruency of two angles and the non included side on one triangle to two angles and the non included side on the other triangle is sufficient for the AAS conditions of congruency between two triangles. The correct option is therefore;

The AAS (Angle-Angle-Side) congruency postulate states that if two angles and a non included side on one triangle are congruent with two sides and the non included side of another triangle, then, the two triangles are congruent.

The information on the two  triangles are;

∠R ≅ ∠U

\(\overline{PQ}\) ≅ \(\overline{ST}\)

∠Q ≅ ∠T

The information are two angles and the non included side of the two triangles

Angle ∠R and angle ∠Q and segment \(\overline{PQ}\) are two angles and the non included side of triangle ΔRPQ

Angle ∠U and angle ∠T and the segment \(\overline{ST}\) are two angles and the non included side of triangle ΔUST

Therefore, two angles and the non included side of triangle ΔRPQ are congruent to two angles and the non included side of triangle ΔUST, which indicates that triangle ΔRPQ and triangle ΔUST are congruent by Angle-Angle-Side, AAS congruency postulate.

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Answer:

i'm pretty sure it is C..

Step-by-step explanation:

The primary code we use to signal identity, according to Remland, is nonverbal communication.

Nonverbal communication refers to the transmission of messages without the use of words. It involves various forms of communication such as facial expressions, body language, gestures, posture, eye contact, and tone of voice. Remland, a researcher in the field of communication, emphasizes the significance of nonverbal cues in signaling identity.

Nonverbal cues play a crucial role in expressing our cultural, social, and personal identities. They can convey information about our emotions, attitudes, status, and affiliations. For example, the way we dress, our choice of accessories, and our body language can communicate aspects of our identity such as our gender, social group, or profession.

Nonverbal communication is particularly powerful because it often operates at an unconscious level and can convey messages that are difficult to express through words alone. These nonverbal signals can shape impressions, establish connections, and influence how others perceive and respond to us.

According to Remland, nonverbal communication is the primary code we use to signal identity. Understanding and interpreting nonverbal cues are essential for effective communication and for navigating social interactions, as they provide valuable insights into the identities and intentions of individuals.

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