For the following questions find the other half of the fraction.
3/5= ?/10
3/6= ?/12
4/10= ?/5
3/4= ?/8
5/10= 1/?
4/6= ?/12
5/5= ?/10
1/2= 6/?

Answer:

x = 80°

Step-by-step explanation:

x = 180 - ( 129 + 71 ) / 2

Thanks!

The coordiantes of M that divides AB in the ratio 1:2 are (2,1).

Coordinates are two numbers (Cartesian coordinates), or sometimes a letter and a number, that locate a specific point on a grid, known as a coordinate plane

To calculate the coordinate of M, we use the formula below.

Formula:

Where:

From the question,

Given:

Substitute these values into equatio 1 and 2 respectively

Hence, the coordinates of M are (2,1).

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The present worth of machine A to be used in the analysis is $138,441.

The given statement is about considering two machines for long-term investment that will pulverize Batman and any other superhero that gets in his way. To calculate the present worth of A to be used in the analysis, we need to consider the interest rate of 8% and the equal replacement of machines.

Present worth analysis technique: The present worth analysis is an economic evaluation technique that measures the present worth of all future cash inflows and outflows that occur at different times. The objective is to bring all cash flows to present time and determine their present worth by discounting them at a suitable interest rate. The steps for present worth analysis are:

Calculate the present value of the cash inflows - Calculate the present value of the cash outflows

Subtract the total present value of the cash outflows from the total present value of the cash inflows to find the present net worth of the investment

The present net worth is the present worth of the investment and is used to decide whether to accept or reject the investment.

In the given problem, we are asked to find the present worth of A to be used in the analysis.

Present worth formula: The present worth formula is given by:

PW = F / (1+i)n

Where PW is the present worth, F is the future worth, i is the interest rate, and n is the number of years.

In the given problem, we are given two machines, A and B, and we need to find the present worth of machine A.

Given that the interest rate is 8% and there is equal replacement of machines, we can use the present worth formula to find the present worth of machine A.

We are not given the future worth of machine A, but we are given the annual cost of $12,000. Assuming that the annual cost remains constant for all years, we can calculate the future worth of machine A as follows:

Future worth of machine A = Annual cost x (1 + i)n-1 / i

Where i is the interest rate and n is the number of years.

For machine A, n = 20 (since it is a long-term investment), i = 8%, and the annual cost is $12,000.

F = $12,000 x (1 + 8%)20-1 / 8% = $12,000 x 46.796 = $563,952.50

We can now use the present worth formula to find the present worth of machine A.

PW = F / (1+i)n

PW = $563,952.50 / (1+8%)20

PW = $138,441.21 (rounded to the nearest dollar)

Therefore, the present worth of machine A to be used in the analysis is $138,441.

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The statement that "when dealing with fixed effects, a de-meaned model approach is superior to the lsdv approach because the de-meaned model gives us more accurate coefficient estimates" is true.

Fixed effects are a type of regression technique used to understand the effect of a single variable across different groups (such as across countries, across states, across individuals, etc.) by comparing the variance of the variable within each group to the variance of the variable across all groups.

When conducting a fixed effects regression, researchers must choose between the least squares dummy variable (LSDV) and de-meaned model approaches.Both models produce unbiased estimates of the coefficients, but the LSDV model has an advantage in that it provides more flexibility when dealing with interactions between fixed effects and time-varying covariates. On the other hand, the de-meaned model is preferred for reasons of computational efficiency and it can handle certain types of data that the LSDV model cannot (such as panel data with a small number of time periods).

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Answer:

t = 3 hours, therefore it cannot be 4 hours

Step-by-step explanation:

Divide the miles traveled by the rate you traveled. This will find the time it took to travel.

180/60 = 3

You drove 3 hours to travel 180 miles, therefore t cannot equal 4.

Given statement solution is :-There are 18 chairs and 15 people in the room.

Let's solve this problem step by step. Let's assume the number of chairs in the room is "C" and the number of people sitting on the chairs is "P".

Each chair has 4 legs, so the number of chair legs is 4 multiplied by the number of chairs: 4C.

Each person has 2 legs, so the number of people legs is 2 multiplied by the number of people: 2P.

Since there are 102 legs in total (including both chair legs and people legs), we can write an equation: 4C + 2P = 102.

We also know that there are 3 empty chairs, which means the number of people sitting on the chairs is equal to the total number of chairs minus 3: P = C - 3.

Now we can substitute the value of P in terms of C into the equation we derived earlier:

4C + 2(C - 3) = 102

Simplifying the equation:

4C + 2C - 6 = 102

6C - 6 = 102

6C = 108

C = 108 / 6

C = 18

So there are 18 chairs in the room.

Substituting the value of C back into the equation P = C - 3:

P = 18 - 3

P = 15

Therefore, there are 18 chairs and 15 people in the room.

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The vertex form of the equation is y = (x - 3)² - 4, which corresponds to option OD.

To convert the given equation from standard form to vertex form, we need to complete the square.

The vertex form of a parabola's equation is y = a(x-h)² + k, where (h, k) represents the vertex of the parabola.

Given equation: y = x² - 6x + 14

Move the constant term to the right side:

y - 14 = x² - 6x

Complete the square by adding and subtracting the square of half the coefficient of x:

y - 14 + 9 = x² - 6x + 9 - 9

Group the terms and factor the quadratic:

(y - 5) = (x² - 6x + 9) - 9

Rewrite the quadratic as a perfect square:

(y - 5) = (x - 3)² - 9

Simplify the equation:

y - 5 = (x - 3)² - 9

Move the constant term to the right side:

y = (x - 3)² - 9 + 5

Combine the constants:

y = (x - 3)² - 4

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Performing a change of scale we will see that the actual distance is 4 miles.

We know that the scale is:

3/4 inch = 2 miles.

And the distance that Nicole found on the map is (1 + 1/2) inches.

We can rewrrite the scale as:

1 inch = (4/3)*2 miles

1 inch = (8/3) miles.

Then the actual distance will be:

distance = (1 + 1/2) inches = (1 + 1/2)*(8/3) miles = 4 miles.

The correct option is A.

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Alina has $22.4 if her mother gave her 1/6 more of what she had at first.

To find how much money would Alina has if her mother gave her 1/6 more of what she had at first:

Alina has 3/5 much money as Edna.

Edna has $32.

Alina's mother gave her more 1/6 or 3/5.

So, first, we will find 1/6 of 3/5.

Now, add 3/30 to 3/5.

Hence, Alina has 21/30 as much money as Edna.

Then,

Therefore, Alina has $22.4 if her mother gave her 1/6 more of what she had at first.

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The average velocity of the ball between 1 and 2 seconds is -8 feet per second. This means that, on average, the ball is descending at a rate of 8 feet per second over this interval.

The average velocity of an object is defined as the change in position divided by the change in time. In this case, we are given the height function of the ball as h(t) = -16t^2 + 120t + 4. To find the average velocity between 1 and 2 seconds, we need to calculate the change in height and the change in time over this interval.

At t = 1, the height of the ball is h(1) = -16(1)^2 + 120(1) + 4 = 108 feet. At t = 2, the height of the ball is h(2) = -16(2)^2 + 120(2) + 4 = 100 feet.

The change in height over the interval is Δh = h(2) - h(1) = 100 - 108 = -8 feet. The change in time is Δt = 2 - 1 = 1 second.

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The mean score of the given three scores is approximately 26.6, which is not the mean score for all ninth graders in the city.

To find the mean score for all ninth graders in the city, we need more information than just three scores. Without additional data, we cannot accurately determine the mean score for all ninth graders in the city.

However, we can calculate the mean of the given scores to verify that it is not 79.7 as claimed by the PR manager:

Mean = (77 + 91 + 71) / 3 = 79.7/3 = 79.7 ÷ 3 ≈ 79.7/3 ≈ 26.6

So the mean score of the given three scores is approximately 26.6, which is not the mean score for all ninth graders in the city.

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Among the given options, the description that best fits a frequency table is "a grouping of qualitative data into classes showing the number of observations in each class."

The best description of a frequency table is: "A grouping of qualitative data into classes showing the number of observations in each class."

A frequency table is a statistical tool used to organize and summarize qualitative data by grouping it into classes or categories and displaying the number of observations or frequency in each class.

It provides a clear and concise representation of how the data is distributed across different categories.

In a frequency table, the qualitative data is organized into classes or categories, which are mutually exclusive and exhaustive.

Each class represents a range or a distinct category, and the frequency column displays the count or number of observations that fall within each class.

The frequencies can be absolute frequencies (counts) or relative frequencies (proportions or percentages).

The purpose of a frequency table is to provide a visual summary of the data distribution, allowing for easy identification of patterns, gaps, or outliers.

It helps to understand the frequency or occurrence of different values or categories in the dataset.

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Answer:-

\(\boxed{\huge \text{182 feet}}\)

Step-by-step explanation:

Let the height of the next tallest rider be t feet

Since the 260-foot-tall ride is 78 feet taller than the next tallest;

That means t = 260 - 78 = 182 feet



Therefore, the height of the second tallest ride in the park = 182 feet.

\(\huge \text{hope this helps! :)}\)

-InLoveWithNature-

Answer:

96.76

Step-by-step explanation:

The  speed on the plane is 104mph while that of the wind is 78mph

The formula for calculating distance is expressed as:

Speed = Distance/Time

If the plane is flying with the wind;

3(r+ w) = 312

r + w = 104 ................... 1

If against the wind

4(r - w )= 312

r- w = 78 .................. 2

Add both equations

2r = 104  + 78

2r = 182

r = 91

Since r + w = 104

w = 104 - 91

w = 13

Speed on the plane  = r + w  = 91 + 13 = 104mi/hr

Speed on the wind = 91 - 13 = 78mi/hr

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9514 1404 393

Answer:

Step-by-step explanation:

The general approach here is to choose a variable you want to eliminate, identify the coefficients of it, and use those to multiply the equations so adding the products will eliminate the variable.

Here, the coefficients of x are -1 and -3; the coefficients of y are 2 and 5. We often like to choose the set of coefficients that includes 1 or where the coefficients are related by an integer factor. These criteria suggest that we should use the coefficients -1 and -3. One of our multipliers must be the opposite of one of these coefficients. So, we choose for them to be -3 and +1.

That is, multiplying the first equation by -3 will make the x-coefficient be 3; multiplying the second equation by 1 will make the x-coefficient be -3. Adding these equations will then eliminate x terms.

  (-3)(-x +2y = 12)

+ (1)(-3x +5y =27)

gives (3x -6y) +(-3x +5y) = -36 +27

which simplifies to the sum ...

  0x -1y = -9

__

Dividing by the coefficient of y, we find y = 9. Substituting into the first equation, we have ...

  -x +2(9) = 12)

  x = 18-12 = 6

The solution is (x, y) = (6, 9).

It is true that the current via each wire has been multiplied by two to get B' = (3/2)

Stream is the movement of electrical charge carriers, which are frequently electrons or atoms devoid of electrons. Currently is commonly depicted with the upper case I. The amperage is indeed the most frequently employed unit and is denoted by the letter A. While current and electron move in the opposing directions, current is the flow of electrons. When electrons go from negative to positive, current moves from positive to negative.

What are voltage and current?

Definition. Simply put, voltage—also known as electromotive force—is the amount of energy in one charge. Voltage, then, is the variation in magnetic potential between the two places. Current is the word again for movement of electrical currents.

B' = (3/2)(μ0i/πl)

Therefore, the correct expression for the new magnetic field at point is:

B' = (3/2)

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the complete question is

Please see attachment for full question

Answer:

A. Height is 161.61ft

B. Check attachment for diagram of right triangle from shadow of Sundai bridge

Step-by-step explanation:

Full explanations attached

We used the Pythagorean theorem in solving for height where cosine angle is adjacent side by hypothenuse side

Change management is a significant challenge for many organizations during enterprise system implementation due to various factors such as resistance to change, organizational culture, lack of employee engagement, and inadequate communication and training.

During enterprise system implementation, organizations typically undergo significant changes in processes, roles, and technologies. This can lead to resistance from employees who may be accustomed to existing ways of working. Resistance to change can hinder the adoption and utilization of the new system, affecting its success.

Organizational culture also plays a role. If the organization has a rigid or hierarchical culture that is resistant to change or lacks a culture of innovation and learning, it becomes difficult to implement and integrate the new system effectively.

Lack of employee engagement and involvement in the implementation process can further impede change. Employees need to understand the reasons behind the change, how it will benefit them and the organization, and be provided opportunities for input and feedback.

Inadequate communication and training can be a major obstacle. Employees must be informed about the changes, their roles and responsibilities, and be provided with sufficient training to effectively use the new system. Insufficient communication and training can lead to confusion, frustration, and resistance.

Overall, change management is crucial during enterprise system implementation to address these challenges and ensure a smooth transition, user acceptance, and successful adoption of the new system.

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A line in ℝ² that does not pass through the origin is not closed under vector addition because vector addition can produce vectors that do not lie on the original line.

To illustrate why a line in ℝ² that does not pass through the origin is not closed under vector addition, we can consider the following example:

Let's take a line in ℝ² given by the equation y = x + 1, which does not pass through the origin (0, 0).

Now, suppose we have two vectors on this line: A = (1, 2) and B = (2, 3).

If we add these two vectors, A + B, we get (1, 2) + (2, 3) = (3, 5).

Now, let's examine the resulting vector (3, 5). Since the line y = x + 1 does not pass through the origin, (0, 0) is not on this line. However, (3, 5) lies on the line y = x + 1.

Therefore, the resulting vector (3, 5) is not on the original line y = x + 1.

This demonstrates that the line is not closed under vector addition because the addition of vectors from the line can result in a vector that is not on the line.

In conclusion, a line in ℝ² that does not pass through the origin is not closed under vector addition because vector addition can produce vectors that do not lie on the original line.

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The probability distribution for the random variable x can be shown in a table format, and the expected value can be computed by multiplying each possible outcome by its corresponding probability and summing them up.

The expected value of the random variable can be computed by multiplying each possible number of attempts by its corresponding probability and summing up the results.

a. The probability distribution for the random variable x, representing the number of times a randomly selected individual will take the bar exam until he/she passes, can be shown in a table format as follows:

Number of Attempts (x)    Probability (P(x))
1                        0.52
2                        (1-0.52) * 0.22
3                        (1-0.52) * (1-0.22) * 0.22
4                        (1-0.52) * \((1-0.22)^2\) * 0.22
5                        (1-0.52) * \((1-0.22)^3\) * 0.22
6                        (1-0.52) * \((1-0.22)^4\) * 0.22
7                        (1-0.52) * \((1-0.22)^5\) * 0.22


In this table, the probability for passing on the first attempt is given as 52% (0.52). For subsequent attempts, the probability of passing is calculated as the complement of the previous probabilities multiplied by the passing rate for repeaters (22%).

For example, the probability of passing on the second attempt is calculated as (1-0.52) * 0.22. The probability of passing on the third attempt is calculated as (1-0.52) * (1-0.22) * 0.22, and so on.

b. To compute the expected value of the random variable x, we need to multiply each possible number of attempts by its corresponding probability and sum up the results.

Expected Value (E(x)) = (1 * P(1)) + (2 * P(2)) + (3 * P(3)) + (4 * P(4)) + (5 * P(5)) + (6 * P(6)) + (7 * P(7))

In this case, the expected value can be calculated by substituting the probabilities from the probability distribution table into the formula.

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Answer:

Median=Middle Number

Range=Difference of Min and Max number

Step-by-step explanation:

Dalmation

124,126,134,136,138,140,140,141,142

Median=138

Range=18

Golden Retriever

124,132,134,136,138,140,140,145,145,145,146,147,150

Median=140

Range=26

Sry if this was a little late

Explanation:

In that list, the numbers 2,3,5 are prime. The value 1 is not prime.

The probability of picking a prime number in that list is 3/5 because we have three prime numbers out of five total.

After not putting that card back, we have 5-1 = 4 cards left. The probability of picking "1" is 1/4 since there's one card we want out of four cards left over.

Multiply the fractions mentioned:

(3/5)*(1/4) = (3*1)/(5*4) = 3/20

The Average Speed of car for the round trip is 346.28 km/ hr.

Average Speed is calculated by dividing the total distance that something has travelled by the total amount of time it took it to travel that distance.

If a  car travels a distance d at rate r₁ and return the same distance at rate r₂, then,

Average Speed =  total distance ÷ total time

                          = 2d ÷ d/r₁ + d/r₂

                          = 2d ÷ r₂d + r₁d / r₁r₂

                          = 2r₁r₂ / r₁ +r₂

∴ x = 2× 3030×4040/ 3030 +4040

     = 2448240 ÷ 707

     = 346.28 km/hr

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Answer:

d: 20

Step-by-step explanation:

alternative angle

Answer:

1. y=3x-2 -> x= (y+2)/3

Step-by-step explanation:

You simply sub-in the m and b, then "reverse" the problem by doing the steps to get from the 2nd, to the first.

Answer:

Step-by-step explanation:

1.y=3x-2

2.y=2/5x+2

3.y=-1/2x+4

4.y=-4x+3

5.y=5x+18

8.y=-3/2+1

you didn't include 6 & 7 that's why i skipped them

hope this helped :)

Answer:

-11

Step-by-step explanation:

-2=9-(-t)

-2=9+t

-2-9=t

t=-11