Write the sum using sigma notation 2 + 4 + 6 + 58

The probability that the sample mean is between 39.75 and 41.25 is approximately 0.5987.

The probability that the sample mean is between 39.75 and 41.25 can be calculated using the Central Limit Theorem. This theorem states that the distribution of the sample means will be normally distributed with a mean equal to the population mean (μ = 40) and a standard deviation equal to the population standard deviation divided by the square root of the sample size (σ = 8/√32).

Using this information, we can calculate the probability that the sample mean is between 39.75 and 41.25, which will be the area under the normal curve between those two points. This area can be calculated using the z-score formula, which is (x-μ)/σ = (41.25-40)/(8/√32). This gives us a z-score of 0.25. The probability can then be calculated using a z-table, which is approximately 0.5987. Therefore, the probability that the sample mean is between 39.75 and 41.25 is approximately 0.5987.

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Answer:

-0.8

Step-by-step explanation:

firstly do

-11.8 ÷ 14 which will give you -0.8

14 × -11.8 = -0.8

He open his chutes at t = (3 ± √(-31)) / 2 seconds.

To find the time at which the person opened their parachute, we need to find the point of intersection between the two equations, F(t) and P(t).

The first equation is F(t) = -t^2 + 2t + 305, represents the fall before the parachute is open.

The second equation is P(t) = -t + 295, represents the fall after the parachute is open.

We can find the point of intersection by setting the two equations equal to each other and solving for t.

-t^2 + 2t + 305 = -t + 295

-t^2 + 3t = -10

t^2 - 3t + 10 = 0

using quadratic formula

t = (3 ± √(3^2 - 4110)) / 2*1

t = (3 ± √(9 - 40)) / 2

t = (3 ± √(-31)) / 2

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Triangle ABC and ADC are similar if BE is parallel to CD.

What does a triangle similarity mean?

Two triangles are comparable if the measurements of their corresponding sides are proportionate. The same is true if the lengths of two sides in one triangle are proportional to the lengths of the corresponding sides in another triangle and the included angles are congruent.

What is the triangle Theorem's similarity?

According to the fundamental theorem of similarity, a line segment can divide two triangle sides into proportionate segments if and only if it is parallel to the third side of the triangle.

We are given that BE is parallel to CD.

As per the theorem of similarity, the two triangles are similar when the a line segment of the triangle is parallel to that of another triangle.

So, from this we get that the Triangle ABC and ADC are similar.

Hence, Triangle ABC and ADC are similar.

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Answer:

(D). f(x) = 3 · \((4)^{x}\)

Step-by-step explanation:

The equation of an exponential function is

f(x) = y =  \(a(b)^{x}\)

For point (0, 3)

3 = a \((b)^{0}\) ⇒ a = 3

For point (1, 12)

12 = 3 \((b)^{1}\) ⇒ b = 4

f(x) = 3 · \((4)^{x}\)

Answer:

\(g(f(5)) = 44\)

Step-by-step explanation:

First, solve for \(f(5)\)

\(f(5) = 5^2-6(5)-6 = -11\\\)

Then, plug in what you got for \(f(5)\) into \(g(x)\).  Since \(f(5) = -11\) you will be solving for \(g(-11)\).

\(g(-11) = -3(-11) + 11 = 44\)

the answer is 44.

Please be sure to mark this answer as brainliest if it satisfies you.

Step-by-step explanation:

your answer is in the photo attached

Answer:

g = E/2h

Step-by-step explanation:

E = 2gh

g = E/2h

Answer:

f =38

Step-by-step explanation:

f-3/4=5/6

f-3×6=5×4

f-18 =20

f =20+18

f =38

Answer:

its 40

Step-by-step explanation: 65+75= 140     180-140=40

give brainliest plz lol

To calculate the percent change in renewable energy investment in the US from 2005 to 2018, you can use the following formula:

Percent change = ((Final value - Initial value) / Initial value) * 100%

In this case, the initial value is $11.4 billion in 2005 and the final value is $46.5 billion in 2018. Plugging these values into the formula, we get:

Percent change = (($46.5 billion - $11.4 billion) / $11.4 billion) * 100%

= ($35.1 billion / $11.4 billion) * 100%

= 3.085 * 100%

= 308.5%

So, the percent change in renewable energy investment in the US from 2005 to 2018 was 308.5%, a substantial increase over the 13-year period.

Answer:

12.5% increase OR 112.5% Percentage of Change

Step-by-step explanation:

For this problem consider that our original maximum value is 96 square feet, but our new maximum value is 108 square feet. So to find the change as a percentage (in this case the increase) use the following formula:

Percentage of Change = ( New Maximum / Old Maximum ) * 100

So, let's use this formula to find the percentage change of the room.

Percentage of Change = ( 108 / 96 ) * 100

Percentage of Change = (1.125) * 100

Percentage of Change = 112.5

So the percentage of Change is 112.5%. Note, the old maximum is the point of comparison which is 100%.

So to find the increase, we will do 112.5% - 100% to get 12.5%. Hence, we have a 12.5% increase of a 108 square foot room compared to a room of 96 square feet.

Cheers.

Answer: (4,9)

Step-by-step explanation:

The constant of proportionality from the proportional relationship is 3/2

A proportional relationship is a mathematical relationship between two variables in which their ratio is always equal. In other words, if x and y are in a proportional relationship, then y/x is always equal to a constant value, called the constant of proportionality. This can be expressed mathematically as y = kx, where k is the constant of proportionality and x and y are the variables in the relationship.

To determine the constant of proportionality, we need to use the proportional relationship given.

y = kx

k = constant of proportionality

3/8 = k(1/4)

Solve for k

k = [(3/8) / (1/4)]

k = 3/2

k = 1.5

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Answer:

$0.09 or nine cents!

Step-by-step explanation:

Divide 6.75 by 75

Answer:0.09 cents

Step-by-step explanation:

because if you trying find cost per text you divide 6.75/75 =0.09.

Answer:5 million

Step-by-step explanation: Because 300 thousand is below 500 thousand so if its below 500 thousand it cant round up it rounds down.

9514 1404 393

Answer:

  3r +5c = 60

  6r +4c = 80

Step-by-step explanation:

There are many aspects of "this situation" that could be described by equations. We are guessing that you want equations that will help you determine the costs of a record and a CD, assuming the costs are the same for each instance of the media.

Let r and c represent the costs of a record and a CD, respectively.

  3r +5c = 60 . . . . . . . the value of the first purchase

  6r +4c = 80 . . . . . . . the value of the second purchase

These equations comprise a linear system describing an aspect of the situation.

_____

Comment on the question

The numbers make no sense, as the cost of a CD is $(6 2/3), the cost of a record is $(8 8/9).

Answer:

m^2-n^2+6n-9

m^2-6n^2-9

The rate law for the reaction can be expressed as: \(\[Rate = k[A][B]^0\]\) or simply: \(\[Rate = k[A]\]\)

In this reaction, the rate is only dependent on the concentration of species A and is independent of the concentration of species B. The exponent for B in the rate law is zero, indicating that changes in the concentration of B do not affect the rate of the reaction. This suggests that B is not involved in the rate-determining step of the reaction and does not participate in the reaction's rate equation.

The rate law is determined experimentally by measuring the initial rates of the reaction at different concentrations of A and B. Since the reaction is first order with respect to A, the rate of the reaction is directly proportional to the concentration of A. The rate constant, denoted as k, is a proportionality constant that incorporates factors such as temperature, catalysts, and reaction mechanism. By observing the reaction rate as a function of the concentration of A, it can be concluded that the rate law for this reaction is \(\(Rate = k[A]\)\), where the concentration of B does not affect the reaction rate.

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Since the situation forms a right angle we can apply trigonometric functions:

Sin a = opposite side / hypotenuse

Where:

a = angle = x

opposite side = 168

hypotenuse = 360

Replacing:

Sin x = 168/360

Solve for x

x = Arc sin (168/360)

x = 27.81 = 28 °

The upper limit and lower control limits will be 56 and 44 respectively.

What is statistical process control ?

When the process is under control, there will be a high possibility that the value of the sample mean will fall between the two control limits, which is why the lower line, also known as the lower control limit, was chosen.

Mean = 50

Sample size = 16

Standard deviation = 8

We need to find the upper and lower control limits.

So, Lower limit would be

= x - 3×σ÷

= 50 - 3×8÷

= 50 - 3×2

= 50 - 6

= 44

Upper limit would be

= x + 3×σ÷

= 50 + 3×8÷    

= 50 + 3×2

= 50 + 6

= 56

The upper and lower control limits of process will be 56 and 44 respectively

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The exact behavior and consequences depend on the Operations system's process management mechanisms and the actions taken by process z or the system's process manager.

When process y dies, the Operations system handles the termination of the process and performs certain actions related to its termination. Here are the likely outcomes when process y, with process x as its child and process z as its parent, dies:

1. Process y's termination: When process y dies, the operating system marks it as terminated and frees up any system resources that were allocated to it. This includes releasing memory, closing file descriptors, and removing its entry from the process table.

2. Parent-child relationship: Since process x is the child of process y, the operating system updates the parent-child relationship. Typically, when a parent process dies, the child process is reassigned to another process called the init process or is terminated if no other process adopts it. The exact behavior depends on the operating system's process management policies.

3. Process z's status: Process z, being the parent of process y, may receive a notification or a signal indicating the termination of its child process. The operating system usually sends a SIGCHLD signal to the parent process, allowing it to handle the termination of its child process appropriately. Process z can choose to ignore the signal or perform actions such as cleaning up resources or spawning a new child process to replace the terminated one.

4. Orphaned process: If process z does not handle the termination of process y appropriately or if process z itself terminates before process y, process x becomes an orphaned process. Orphaned processes are typically adopted by the init process or the system's process manager, ensuring that they are handled and terminated properly.

In summary, when process y dies, the operating system marks it as terminated, updates the parent-child relationship, and may notify process z. The exact behavior and consequences depend on the operating system's process management mechanisms and the actions taken by process z or the system's process manager.

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Answer:

8 + 4 = 12

12 x 3 = 36

36 divided by 2 = 18

18 x 2 = 36

9 x 3.7 = 33.3

33.3 x 2 = 66.6

9 x 8 = 72

4 x 9 = 36

Now lets add all given areas:

36 + 66.6 + 72 + 36 = 210.6 cm2 is your answer.

If the force and acceleration are in the same direction, the mass of the object would be 0.83 kg.

The mass of the object cannot be determined with the given information. Acceleration is related to force and mass through Newton's Second Law: F = ma. However, in this case, we are given the acceleration and force, but not the mass. To find the mass, we would need either the acceleration and the force, or the force and the mass.

However, if we assume that the force and acceleration are both in the same direction, we can use the formula F = ma to find the mass. Rearranging the formula, we get m = F/a.

Substituting the given values, we get:

m = 10 N / 12 m/s²

m = 0.83 kg

So, if the force and acceleration are in the same direction, the mass of the object would be 0.83 kg.

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Complete Question:

A moving train accelerates at a rate of 12 meters per second. What would your mass be if the applied force were 10N?

The solution to the problem is the simplified expression: 5x³ - x² - 3x + 13.

To solve the given problem, you need to simplify and combine like terms. Start by adding the coefficients of the same degree terms.

(3x³ - x² + 4) + (2x³ - 3x + 9)

Combine the like terms:

(3x³ + 2x³) + (-x²) + (-3x) + (4 + 9)

Simplify further:

5x³ - x² - 3x + 13

In this expression, the highest power of x is ³, and the corresponding coefficient is 5. The term -x² represents the square term, -3x represents the linear term, and 13 is the constant term. The simplified expression does not have any like terms left to combine, so this is the final solution.

Remember to check for any specific instructions or constraints given in the problem, such as factoring or finding the roots, to ensure you address all requirements.

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Answer:

Step-by-step explanation:

Increasing the difference between the sample mean and the original population mean will the and so will the Z score

Increasing the difference between the sample mean and the original population means. Increasing the population standard deviation. Increasing the number of scores in the sample. A larger difference will produce a larger value in the numerator which will produce a larger z-score.

Answer:

B

Step-by-step explanation:

4 x 5 = 20, and that is the total number of squares in the grid.

10% of 20 is 2.

Therefore 10% of the graph is B.

Therefore, the Marginal Rate of Technical Substitution (MRTS) in this Cobb Douglas production function is (0.45/0.55) * (L/K), or approximately 0.818 * (L/K).

To determine the Marginal Rate of Technical Substitution (MRTS) in a Cobb Douglas production function, we need to calculate the ratio of the marginal product of labor (MP_L) to the marginal product of capital (MP_K). In this case, the MRTS can be calculated as MRTS = MP_L / MP_K, where MP_L is the partial derivative of the production function with respect to labor (L) and MP_K is the partial derivative of the production function with respect to capital (K).

Taking the partial derivatives of the Cobb Douglas production function, we have:

MP_L = 0.45 * L^(-0.55) * K^0.55

MP_K = 0.55 * L^0.45 * K^(-0.45)

Now we can calculate the MRTS:

MRTS = MP_L / MP_K

= (0.45 * L^(-0.55) * K^0.55) / (0.55 * L^0.45 * K^(-0.45))

= 0.45/0.55 * (L^(-0.55) * L^0.45) * (K^0.55 * K^(-0.45))

= (0.45/0.55) * (L/K)

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