Which expression can be used to convert 100 USD to Japanese yen?

A. The response is qualitative because the responses can be classified based on the characteristic of being satisfied or not.

B. The source of the variability is due to chance or sampling error, which arises from taking a sample instead of surveying the entire population.

C.  The sampling distribution of p is approximately normal.

D. We find that the probability is 0.0912 or about 9.12%.

E. We get:z = (0.75 - 0.82) / sqrt[0.82(1-0.82)/100] = -2.29

a. The response is qualitative because the responses can be classified based on the characteristic of being satisfied or not.

b. The sample proportion, p, is a random variable because it varies from sample to sample. The source of the variability is due to chance or sampling error, which arises from taking a sample instead of surveying the entire population.

c. The sampling distribution of p is approximately normal if the sample size is sufficiently large and if np ≥ 10 and n(1-p) ≥ 10, where n is the sample size and p is the population proportion. In this case, we have:

Sample size (n) = 100

Population proportion (p) = 0.82 Thus, np = 82 and n(1-p) = 18, both of which are greater than 10. Therefore, the sampling distribution of p is approximately normal.

d. To calculate the probability that the proportion who are satisfied with the way things are going in their life exceeds 0.85, we need to find the z-score and then look up the corresponding probability from the standard normal distribution table. The formula for the z-score is:

z = (p - P) / sqrt[P(1-P)/n]

where p is the sample proportion, P is the population proportion, and n is the sample size. Substituting the given values, we get:

z = (0.85 - 0.82) / sqrt[0.82(1-0.82)/100] = 1.33

Looking up the corresponding probability from the standard normal distribution table, we find that the probability is 0.0912 or about 9.12%.

e. Yes, it would be unusual for a survey of 100 Americans to reveal that 75 or fewer are satisfied with the way things are going in their life. To check if it is unusual or not, we need to calculate the z-score and find its corresponding probability from the standard normal distribution table. The formula for the z-score is:

z = (p - P) / sqrt[P(1-P)/n]

where p is the sample proportion, P is the population proportion, and n is the sample size. Substituting the given values, we get:

z = (0.75 - 0.82) / sqrt[0.82(1-0.82)/100] = -2.29

Looking up the corresponding probability from the standard normal distribution table, we find that the probability is 0.0106 or about 1.06%. Since this probability is less than 5%, it would be considered unusual to observe 75 or fewer Americans being satisfied with the way things are going in their life.

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Answer: The value of R is 6.

Explanation: I recommend you go to these two links for an easier understanding:

https://www.wikihow.com/Find-the-Y-Intercept

https://www.wikihow.com/Find-the-X-Intercept

The statement is true.

During the preliminary investigation phase of system analysis, data about how the present system works is indeed collected. This is done to understand the current system's functionalities, processes, strengths, weaknesses, and areas that need improvement.

Gathering information about the existing system helps in identifying the requirements and specifications for the new system. By analyzing the current system, its limitations, and the user's needs, the requirements for the new system can be identified and defined more effectively.

Therefore, it is true that data about how the present system works is collected during the preliminary investigation phase to determine the requirements of the new system.

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The perimeter of Raina's pigpen is 1020 feet.

Perimeter is the total distance around the edge of a two-dimensional shape. It is the sum of the lengths of all sides of the shape. Perimeter is typically measured in units such as inches, feet, meters, or centimeters, depending on the system of measurement being used.

To find the perimeter of the rectangular pigpen, we need to add up the lengths of all four sides. The formula for the perimeter of a rectangle is:

perimeter = 2 * length + 2 * width

Plugging in the values we know, we get:

perimeter = 2 * 325 + 2 * 185

perimeter = 650 + 370

perimeter = 1020

Therefore, the perimeter of Raina's pigpen is 1020 feet.

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Answer:

When buying a backpack you want to pick the one with the greatest volume. Backpack A has the highest volume (5200) which means that it's the backpack that will allow me to fit the most stuff.

Step-by-step explanation:

This questions i just asking which bag has the greatest volume

the formula for that is just l*w*h

calculate the volume for each backpack:

a: 26*20*10=5200

b: 32*16*8=4096

c: 28*14*12= 4704

We can see that backpack A has the greatest volume, so we should pick it.

Answer:

80cubic cm

Step-by-step explanation:

Answer:

1/15

Step-by-step explanation:

Multiply 1/5 by 3, therefore making this problem 3/15 - 2/15 = _. Subtract to get 1/15

The first physical coordinate y1 can be expressed as y1 = [1 0 0]Y, & The mass-normalised mode shapes can be  normalising the mode shape vectors f1, f2, and f3.

Part (a)

In Equation Q2, the spectral matrix, undamped natural frequencies, damping ratios, and fundamental frequency need to be calculated.

The mass matrix is given by [85.16400 083.3770 0046.999; 0.079400 00.7030 001.07 × 10; 0.013600 03.1390 005.124 × 10].

The stiffness matrix is given by [0.16400 00.3770 000.999; 0.079400 00.7030 001.07 × 10; 0.013600 03.1390 005.124 × 10].

The damping matrix is given by [0 0 0; 0 0 0; 0 0 0].The undamped natural frequencies, damping ratios, and fundamental frequency for the system in Equation Q2 can be calculated from the spectral matrix.

The characteristic equation can be written as det(K-mω^2M)=0.where K is the stiffness matrix, M is the mass matrix, ω is the angular frequency, and m is the mass-normalised mode shape.

The roots of this equation are the undamped natural frequencies, and the damping ratios can be calculated from the undamped natural frequencies and mode shapes.

The mass-normalised mode shapes can be calculated by normalising the mode shape vectors f1, f2, and f3.

Part (b)

The mass-normalised mode shapes can be calculated using the mode shape vectors f1, f2, and f3.Part (c)The response of the system for the first physical coordinate y1 can be calculated using the mode superposition method. The initial modal displacements and velocities are given in terms of the modal coordinates.

The response is then calculated using the equation y(t)= Σ ai φi(t), where ai are the modal amplitudes, and φi(t) are the modal shapes given by the mode shape vectors f1, f2, and f3.

The first physical coordinate y1 can be expressed as y1 = [1 0 0]Y, where Y is the vector of physical coordinates. The modal amplitudes can be calculated from the initial modal displacements and velocities.

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Answer:

BD

AC

SN       (might not be one)

AB

Step-by-step explanation:

Answer:

tor ba kita oisa kobic and yyio

Answer:

In the 4th game, he needs a score of 250 to raise his average score to 200

Step-by-step explanation:

Let the score he needs to get in the 4th game be x,

Now, to get an average of 200 for the 4 games,

The sum of his scores of the 4 games divided by the number of games (i.e 4) must equal 200, i.e,

Average = (sum of scores of the 4 games)/the number of games

Number of games = 4, and we know the scores of the 3 games

and also the avergae that we need to get, putting all this into the formula ,we get,

200 = (150 + 220 + 180 + x)/4

200 = (550 + x)/4

200 = 550/4 + x/4

200 = 275/2 + x/4

200 - 275/2 = x/4

125/2 = x/4

x = 4(125/2)

x = 2(125)

x = 250

Answer:

the mode would be 24

Step-by-step explanation:

it is what numbers appears most often

In the case of the electronic chess game, with a useful life that follows an exponential distribution with a mean of 30 months, we need to determine the length of service time after which the percentage of failed units will approximately equal 50 percent. The options provided are 9 months, 16 months, 21 months, and 25 months.

For the major television manufacturer, the service life of its 50-inch LED televisions follows a normal distribution with a mean of six years and a standard deviation of half a year. We are asked to calculate the probability of service lives of at least five years.

1. Electronic Chess Game:

The exponential distribution is characterized by a constant hazard rate, which implies that the percentage of failed units follows an exponential decay. The mean of 30 months indicates that after 30 months, approximately 63.2% of the units will have failed. To find the length of service time when the percentage of failed units reaches 50%, we can use the formula P(X > x) = e^(-λx), where λ is the failure rate. Setting this probability to 50%, we solve for x: e^(-λx) = 0.5. Since the mean (30 months) is equal to 1/λ, we can substitute it into the equation: e^(-x/30) = 0.5. Solving for x, we find x ≈ 21 months. Therefore, the length of service time after which the percentage of failed units will approximately equal 50 percent is 21 months.

2. LED Televisions:

The service life of 50-inch LED televisions follows a normal distribution with a mean of six years and a standard deviation of half a year. To find the probability of service lives of at least five years, we need to calculate the area under the normal curve to the right of five years (60 months). We can standardize the value using the formula z = (x - μ) / σ, where x is the desired value, μ is the mean, and σ is the standard deviation. Substituting the values, we have z = (60 - 72) / 0.5 = -24. Plugging this value into a standard normal distribution table or using a calculator, we find that the probability of a service life of at least five years is approximately 1.0000 (or 100% with four digits after the decimal point).

Therefore, the probability of service lives of at least five years for 50-inch LED televisions is 1.0000 (or 100%).

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The distance between the third base and the player is 150 feet.

Pythagoras' theorem states that “In a right-angled triangle,  the square of the hypotenuse side is equal to the sum of squares of the other two sides“. The sides of this triangle have been named Perpendicular, Base, and Hypotenuse. Here, the hypotenuse is the longest side, as it is opposite to the angle of 90°. The sides of a right triangle (say a, b, and c) which have positive integer values, when squared, are put into an equation, also called a Pythagorean triple.

In the diagram attached, we can see the locations of the 1st base, 2nd base, 3rd base, and Home plate.

Since these four points form a square of which diagonals are equal in size.

So if we find the distance between the 1st and 3rd base that will be equal to the distance between the Home plate to the second base.

To find the nearest distance,

By applying "Pythagoras' Theorem"

\(nearest \ distance =\sqrt{120^2+90^2}\\\\=\sqrt{22500}\\\\=150\ feet.\)

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Answer:  

Equation translates to 289 + y = 206

it solves to y = -83

====================================================

Explanation:

The "and y more" means we are adding y onto 289 to get the expression 289+y. This is set equal to 206 because of the term "is" in the original statement.

Therefore, "289 and y more is 206" translates fully to the equation 289+y = 206

This is the same as saying y+289 = 206

To isolate y, we undo what is happening to it. We are adding 289 to it, so we must subtract 289 from both sides

y+289 = 206

y+289-289 = 206-289

y = -83

So we are adding -83 to 289 to get 206

Answer:

ejhdd dnnxjxnxnx

Step-by-step explanation:

3838 3673

Answer:

5s=175

Step-by-step explanation:

Answer:

10 4-seated cars

Step-by-step explanation:

The probability of selecting exactly one defective calculator out of the 6 sent to the local high school is 0.29166.

The probability of selecting exactly one defective calculator out of the 6 sent to the local high school can be calculated using the binomial probability formula. The binomial probability formula is \(P(x) = nCx * p^x * q^(n-x)\). For this problem, n = 6 (the number of calculators sent to the local high school), x = 1 (the number of defective calculators selected), p = 4/12 (the probability of selecting a defective calculator from the shipment of 12 calculators), and q = 8/12 (the probability of selecting a non-defective calculator from the shipment of 12 calculators). Plugging these values into the formula gives \(P(x) = 6C1 * 4/12^1 * 8/12^5\), which simplifies to 0.29166. This means that the probability of selecting exactly one defective calculator out of the 6 sent to the local high school is 0.29166.

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The expression "7 x 3" can be simplified by performing the multiplication:

7 x 3 = 21. The expression "1/5 A" cannot be simplified without knowing the value of A. Therefore, we cannot determine the answer to this question without additional information.

A set of numbers, variables, and arithmetic operations that can be evaluated or squeezed together is known as an expression in mathematics. Although expressions come in a variety of shapes, they are always constructed using the fundamental components of numbers and mathematical operations including addition, subtraction, multiplication, division, exponents, and roots.

A mathematical expression can be as simple as a single value, such as "5" or "x," or it can be more complex, such as "2x + 3." In this instance, the terms "2x" and "3" as well as the addition operation make up the algebraic formula "2x + 3". The unknowable value "x," which can take on any integer, can be checked for a wide range of values in the equation.

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To achieve the same level of pollution at a lower cost, the government could adjust the environmental standards for each plant based on their respective marginal social benefits of pollution.

The government's environmental standards require Plant A and Plant B to reduce their emissions by 60%. The marginal social benefit of pollution for Plant A is $500 and the marginal social benefit of pollution for Plant B is $125. This means that the benefit of reducing one unit of pollution for Plant A is $500, while for Plant B is $125.

This information suggests that Plant A has a higher marginal social benefit of pollution than Plant B. Since the government's standards require both plants to reduce emissions by the same percentage, Plant A will have to reduce a greater amount of pollution than Plant B to reach the same level of emissions. This means that the cost of reducing pollution for Plant A will be higher than the cost of reducing pollution for Plant B.

To achieve the same level of pollution at a lower cost, the government could adjust the environmental standards for each plant based on their respective marginal social benefits of pollution. For example, if Plant A has a marginal social benefit of $500 and Plant B has a marginal social benefit of $125, the government could require Plant A to reduce its emissions by 50% and Plant B to reduce its emissions by 70%. This would achieve the same level of pollution while minimizing the cost of reducing pollution for both plants.

Thus, To achieve the same level of pollution at a lower cost, the government could adjust the environmental standards for each plant based on their respective marginal social benefits of pollution.

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Nash equilibrium describes a situation in which no firm can improve its outcome by independently changing its course of action.

In the context of oligopoly, a Nash equilibrium refers to a situation in which no firm can improve its outcome by unilaterally changing its course of action, given the actions of other firms.

In other words, each firm is choosing its best response to the actions of other firms, and no firm has an incentive to deviate from its chosen strategy.

Nash equilibrium is a concept derived from game theory, which is the study of strategic decision-making in competitive situations. It helps to predict the behavior and outcomes in situations where multiple players or firms are interdependent.

Hence the correct option is Nash equilibrium.

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The statement that proves that angle XWY is equal to angle ZYW is

A. If two parallels are cut by a transverse, then alternate interior angles are congruent

Alternate interior angles are a pair of angles that are formed on opposite sides of a transversal line when two parallel lines are intersected by the transversal.

When a transversal intersects two parallel lines, it creates eight angles. Among these angles, the alternate interior angles are located on the inside of the parallel lines and on opposite sides of the transversal.

In a parallelogram, the two opposite sides are parallel to each other hence the line crossing them will lead to formation of alternate interior angles

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Answer:

∠S = 105°

∠T = 95°

Step-by-step explanation:

Cyclic quadrilateral:

   Quadrilateral MNST is a cyclic quadrilateral. In cyclic quadrilateral, the opposite angles are supplementary.

     m∠S + m∠M = 180°

 3x + 2x +  5 = 180

        5x  + 5  = 180           {Combine like terms}

                 5x = 180 - 5     {Subtract 5 from both sides}

                 5x = 175

                    x = 175 ÷ 5  {Divide both sides by 5}

                    x = 35°

∠S = 3x

    = 3 * 35

    = 105°

∠T = 3x - 10

     = (3*35) - 10

     = 105 - 10

     = 95°

We have the following:

1.

Therefore, the system has no solution

2.

Therefore, the system has infinite solutions

Answer:

Is there answer choices

Step-by-step explanation:

NVM guess this is the answer  

m of <MTS is 107 degrees and m of <STN=73 degrees

Answer:

m of <MTS is 107 degrees and m of <STN=73 degrees

Step-by-step explanation:

You do 180-73 to find the other angle beside 73 and since they're parallel its the same angles but opposite essentially. Sorry this isn't the best explanation.