If the ratio of ambers miniature house to the original structure is 2:35 and the miniature requires 4 square feet of flooring how much flooring exists in the original house

Answer:

The coordinate of image triangle is M(-6,-2),N(-1,7) and P(3,4)

Step-by-step explanation:

The expected value for the complete pairs of socks that make it out alive from the washing machine is calculated based on the probability of losing a sock and the number of pairs. The expected value for the complete pair of socks is 2.

Let's denote the random variable X as the number of complete pairs of socks that make it out alive. To calculate the expected value of X, we need to consider the probability of losing a sock and the total number of pairs.

In this case, there are 20 pairs of socks, which means there are a total of 40 socks. The washing machine eats four socks at random, which means there will be 36 socks remaining.

The probability of losing a sock can be calculated by dividing the number of socks lost by the total number of socks. In this scenario, four socks are lost out of 40 socks, so the probability of losing a sock is 4/40 = 1/10.

To calculate the expected value, we multiply the probability of losing a sock by the total number of pairs. In this case, the expected value is (1/10) * 20 = 2.

Therefore, the expected value for the number of complete pairs of socks that make it out alive from the washing machine is 2.

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Step-by-step explanation:

The system of equations for eq 1 which is 3x + y = 118 represents the Green High School which filled three buses(with a specific number of students identified as x) and a van(with a specific number of students identified as y) with a total of 118 students.

for eq 2; 4x + 2y = 164; represents Belle High School which filled four buses(with a specific number of students identified as x) and two vans(with a specific number of students identified as y) with a total of 164 students.

The solution represents the specific number of students in the buses and vans in eq1 and eq 2 with x being 36 students and y being 10 students.

substituting 36 for x and 10 for y in eq 1;

3(36) + 10 = 108 + 10 = 118 total students for Green High School

substituting 36 for x and 10 for y in eq2;

4(36) + 2(10) = 144 + 20 = 164 total students for Belle High school

Answer:

Answer is below

Step-by-step explanation:

Answer:

u just multiply7×5t

=35t

the use of a cambered wing design is an important advancement in the history of airplane wing design, allowing for greater lift and improved performance.

The design of airplane wings has undergone significant changes over the years, with advancements in technology and understanding of aerodynamics leading to more efficient and effective designs. One such change is the use of a wing's upper surface to create the lower surface, a design feature known as the "cambered wing."

A cambered wing is characterized by a curved upper surface and a flatter lower surface. The curve of the upper surface causes air to flow faster over the top of the wing than underneath, creating a region of low air pressure above the wing and high air pressure below the wing. This difference in pressure generates lift, which is what keeps the airplane aloft.

The idea of using a cambered wing design to generate lift was first proposed by Sir George Cayley, a British scientist and engineer, in the early 19th century. However, it was not until the early 20th century that the design was fully understood and implemented in airplane wings.

The key change made to the upper portion of the wing to form the lower section is the addition of camber, or curvature, to the upper surface of the wing. This curve causes the air to flow faster over the top of the wing, creating a region of low pressure that generates lift. The lower surface of the wing is typically flatter to allow for a smooth flow of air underneath the wing and reduce drag.

In addition to the shape of the wing, other factors such as wing size, angle of attack, and airspeed can also impact lift and aerodynamic performance. These factors must be carefully considered in the design and construction of airplane wings to ensure safe and efficient flight.

Overall, the use of a cambered wing design is an important advancement in the history of airplane wing design, allowing for greater lift and improved performance.

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Answer:

\( \frac{2}{5} \)

Step-by-step explanation:

\( \frac{40}{100} \)

divide the numerator and denominator by 20

\( \frac{40 \div 20}{100 \div 20} \)

\( \frac{2}{5} \)

Answer:

1/2

Step-by-step explanation:

1 L -1/4=3/4

3/4×2/3=1/2

After founding your firm with a contribution of $300,000 and receiving 3,000,000 shares of stock, you sold 2,000,000 stocks.

Now, you are considering raising more capital from a Venture Capitalist who will invest $20,000,000 and receive 4,000,000 newly issued shares. The post-money valuation of the firm needs to be calculated. To calculate the post-money valuation, we need to consider the total value of the firm after the additional investment from the Venture Capitalist. The post-money valuation is the sum of the pre-money valuation and the amount of investment.

The pre-money valuation is the value of the firm before the investment. It is calculated by multiplying the number of shares owned by the founder (3,000,000 shares) by the price per share at the time of founding. Since the founder received the shares in exchange for a contribution of $300,000, the price per share is $300,000 divided by 3,000,000 shares, which is $0.10 per share. Therefore, the pre-money valuation is $0.10 per share multiplied by 3,000,000 shares, which equals $300,000.

Now, we can calculate the post-money valuation by adding the pre-money valuation and the amount of investment from the Venture Capitalist. The amount of investment is $20,000,000, and the number of newly issued shares is 4,000,000. Therefore, the price per share for the new investment is $20,000,000 divided by 4,000,000 shares, which is $5.00 per share. The post-money valuation is the sum of the pre-money valuation ($300,000) and the amount of investment ($20,000,000), which equals $20,300,000.

In numerical terms, the post-money valuation of the firm is $20,300,000. This valuation takes into account the initial contribution by the founder, the sale of shares, and the new investment from the Venture Capitalist. It represents the total value of the firm after incorporating the additional capital infusion.

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Answer:

i think an right angle

Step-by-step explanation:

The stored energy during the stride when the stretch causes the center of mass to lower by 10 mm is approximately 6.038 Joules.

The stored energy can be determined from the height change and the mass of the person.

The formula for potential energy is as follows: PE = mgh

Where:PE = Potential energy (Joules)

m = Mass (kg)

g = Acceleration due to gravity (9.8 m/s^2)

h = Height (m)

First, convert the 10mm to meters:

10 mm = 0.01 meters

Then, substitute the given values:

PE = (61 kg)(9.8 m/s^2)(0.01 m)

PE = 6.018 J

Therefore, the stored energy is 6.018 Joules.

To calculate the stored energy during a stride when the stretch causes the center of mass to lower by 10 mm, we can use the gravitational potential energy formula.

The gravitational potential energy (U) is given by the equation:

U = mgh

Where:

m = mass of the object (in this case, the person) = 61 kg

g = acceleration due to gravity = 9.8 m/s²

h = change in height = 10 mm = 0.01 m

Substituting the given values into the equation, we have:

U = (61 kg) * (9.8 m/s²) * (0.01 m)

U = 6.038 J

Therefore, the stored energy during the stride when the stretch causes the center of mass to lower by 10 mm is approximately 6.038 Joules.

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Answer:

6 pints of white paint she used to paint her bedroom walls.

Step-by-step explanation:

Joy uses 9.5 pints of blue paint + white paint.

Joy used 3.5 pints of blue paint.

So, white paint used = total paint - blue paint used

Plug in the known values into the equation.

White paint used = 9.5-3.5 =6 pints

The number of pints of white paint did she use to paint her bedroom walls is 6.

Given that,

Based on the above information, the calculation is as follows:

= 9.5 - 3.5

= 6

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Any variable that can be placed into either of two discrete and mutually exclusive categories is called dichotomous.

A dichotomous variable is one in which, as a result of said variability, there are only two possible outcomes. That is, there is a dichotomy or mutual exclusion between both results of the variable, in such a way that the presence of one result makes the presence of the other null.

An example of dichotomous variables is one in which a certain situation exists or not, that is, where the result varies between 0 and a positive integer.

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We could find the error first, but if we solve the equation, we can compare our answers to find the error. So,

7x + 12 + 3x = 8

10x + 12 = 8

10x = -4

x = -4/10

x = -2/5.

When we compare the two, we see that our second line is vastly different, and we can easily isolate the mistake, finding that it occurs when they disregard the variable in the 3x term and subtract 8 by 3 rather than combining the terms 3x and 7x together.

Answer:

x=-4/10 = -2/5

Step-by-step explanation:

7x+12+3x=8

(7x+3x) =8-12

10x=-4

x=-4/10

x= -2/5

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Answer:

range is 10

Step-by-step explanation:

highest number is 49

loweest number is 39

49 - 39 = 10

Answer:

10

Step-by-step explanation:

The range is found by taking the largest number and subtracting the smallest number

The largest number is 49

The smallest number is 39

The range is 49-39 = 10

After solving the equation we get to know LHS = RHS

What is an equation ?

An equation is a mathematical statement that proves two mathematical expressions are equal in algebra, and this is how it is most commonly used. In the equation 3x + 5 = 14, for instance, the two expressions 3x + 5 and 14 are separated by the symbol "equal."

LHS

7 log(10/9) - 2log(25/24) + 3 log( 81/80)

= 7log{(2*5)/3²} - 2log{5²/ (2^3 *3)} + 3log{(3^4/(2^4*5)}

= 7( log 2 + log5 - 2log3) -2 (2log 5- 3log2-log3) + 3(4log3 - 4log2–log5)

= 7log2+ 7log5- 14log3 - 4log5 + 6log2 + 2log 3 + 12log3 - 12log2 - 3log 5

= (7log2+ 6log2 -12log2 ) + (7log5 - 4log5–3log5)

= 13log2 - 12 log2 + 3log5 - 3log5

= log2

= RHS

∴ LHS = RHS

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Answer:

coordinate of B(2,-8)

Answer:

(4,-8)

Step-by-step explanation:

Answer:

y = x² - 8x + 19

Step-by-step explanation:

The equation of a parabola in standard form is

y = ax² + bx + c ( a ≠ 0 )

Given

y = (x - 4)² + 3 ← expand parenthesis using FOIL

  = x² - 8x + 16 + 3

  = x² - 8x + 19 ← in standard form

Answer:

64

Step-by-step explanation:

Angle 1 and Angle 8 are alternate exterior angles since line x and line y are parallell and a transversal Z passes through it. Since they are alternate exterior angles they are congruent so 8 is 64

Answer:

about =502.65

Step-by-step explanation:

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let's solve :

first step : we have to expand the term in L.H.S

now, let's equate the equations to find the value of m :

value of m = -2

The server's utilization can be calculated by subtracting the idle time from the total time and expressing it as a percentage.

In this case, the server is idle 5% of the time, which means it is active 95% of the time. Utilization is a measure of how efficiently a server is being used, indicating the proportion of time it is occupied with processing tasks.

A server utilization of 95% implies that the server is highly utilized and operating at a high capacity most of the time. This indicates that there is minimal idle time and the server is effectively handling incoming requests or performing tasks. High utilization is generally desirable as it maximizes the server's efficiency and productivity. However, it's important to monitor the utilization regularly to ensure it doesn't reach 100% or exceed the server's capacity, which could lead to performance issues or resource constraints.

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The standard deviation of the number of red balls chosen, x, is 1.2.

In probability theory, the standard deviation is a measure of the amount of variation or dispersion in a set of values. It helps us understand how spread out the values are from the mean. In this scenario, we have an urn containing blue and red balls, and we are randomly selecting 6 balls without replacement. We want to determine the standard deviation of the number of red balls chosen, denoted by x.

To find the standard deviation of x, we need to calculate the variance first. The variance represents the average of the squared differences between each value and the mean. The standard deviation is then the square root of the variance.

Step 1: Finding the probability of selecting a red ball

In the given urn, there are a total of 6 blue balls and 4 red balls. To determine the probability of selecting a red ball, we divide the number of red balls by the total number of balls:

P(red) = 4 / (6 + 4)

          = 0.4

Step 2: Calculating the mean of x

The mean of x, denoted as μx, represents the expected value or average number of red balls chosen. Since the probability of selecting a red ball is 0.4, we can calculate the mean as follows:

μₓ = (Number of trials) × P(red)

   = 6 × 0.4

   = 2.4

Step 3: Determining the variance of x

The variance, denoted as Var(x), is calculated by finding the average of the squared differences between each value of x and the mean:

Var(x) = (Number of trials) × P(red) × P(blue)

          = 6 × 0.4 × 0.6

          = 1.44

Step 4: Finding the standard deviation of x

Finally, the standard deviation, denoted as σx, is the square root of the variance:

σₓ = √Var(x)

    = √1.44

    = 1.2

Therefore, the standard deviation of the number of red balls chosen, x, is 1.2.

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The system of the equations that have the solution of (2, -3) are given below.

3x + 2y = 0 and 3y = 2x - 13

A Linear system is a system in which the degree of the variable in the equation is one. It may contain one, two, or more than two variables.

Write a system of equations with the solution (2, -3).

From a single point, an infinite number of lines pass through this point.

Let one line is passing through the origin. Then the equation of the line will be

\(\rm y = \dfrac{-3}{2} (x)\\\\y = -1.5x\)

And the other line is perpendicular to the line which is passing through the origin and a point (2, -3).

\(\rm y = \dfrac{2}{3} x + c\)

Then this line also passes through a point (2, -3). Then the value of c will be

\(\rm -3 = \dfrac{2}{3} \times 2 + c\\\\c \ \ = -13\)

Then the equation of the line will be

3y = 2x -13

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Answer:

Phillip Schofield net worth: Phillip Schofield is an English television presenter and television personality who has a net worth of $12 million dollars.

Step-by-step explanation:

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If the perimeter is 16' the sum of the length and width must be 8'. Assuming that area is non 0 possible dimensions are:

1x7 2x6 3x5 4x4 5x3 6x2 7x1

Answer:

Does this help?

Step-by-step explanation:

Answer: I'm pretty sure the answer is 78.90

Step-by-step explanation: