A boy has five coins each of different denomination. How many different sum of money can he form? (5 points) Out of 5 Statisticians and 4 Psychologists, a committee consisting of 2 Statisticians and 3

Answer:

no I'm pretty sure it's wrong

Step-by-step explanation:

the y intercept for that to right us -4

Answer: proportionate

Step-by-step explanation:

Proportional quota sampling is when the total number of people that are to be surveyed are decided in advance. This form of sampling is usually used in opinion polls and surveys.

Since due to the fact that there are many more women in teaching jobs than men, the researcher selected more women than men for her study to ensure that it represented the actual distribution of men and women teachers in the job, then this was decided in advance and indicates the proportionate quota sampling.

Answer:

2. All reals

Step-by-step explanation:

It covers everything as absolute value (distance from 0)

If you graph it you will see

Reason:

Absolute value represents distance on a number line. Specifically it's the distance from x to 0.

For example, |-2| = 2 means -2 is 2 units away from 0.

Since |x| represents a distance, we cannot have negative distance. So |x| is either 0 or positive. Furthermore, it means |x| is larger than any negative value you pick.

Therefore, |x| > -9 is true for any x value and it's why we go for "all reals" (aka "all real numbers")

The probability of a z-score being greater than 1.9 is approximately 0.0287. i.e option a) is correct

To calculate the probability that the sample proportion will be greater than 0.276, we can use the sampling distribution of the sample proportion.

In this case, the sample size is 100, and the population proportion is 0.2. The sample proportion follows an approximately normal distribution with a mean equal to the population proportion (0.2) and a standard deviation equal to the square root of (p * (1 - p) / n), where p is the population proportion and n is the sample size.

Let's calculate the standard deviation first:

Standard deviation (σ) = √(p * (1 - p) / n)

= √(0.2 * (1 - 0.2) / 100)

= √(0.16 / 100)

= √0.0016

= 0.04

Now, we can calculate the z-score corresponding to the sample proportion of 0.276:

z = (sample proportion - population proportion) / standard deviation

= (0.276 - 0.2) / 0.04

= 0.076 / 0.04

= 1.9

Using a standard normal distribution table or a calculator, we can find the probability associated with a z-score of 1.9. The probability of a z-score being greater than 1.9 is approximately 0.0287.

Therefore, the answer is (a) 0.0287.

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Answer:

4-1=3

5(4-1)    15

2(4)-2(1)   6

1-4    -3

Step-by-step explanation:

here you go...

please mark brainliest

Answer:

Step-by-step explanation:

a) :x-y=3(a) 5(x-y) = 5×3 =15

:. 5(x-y)=15

b)  2x-2y = 2(x-y)

      2(3) =2*3=6

      :. 2x-2y=6

c) y-x = -(x-y)

     -(x-y) = -(3).

   :. y-x=-3

Answer:

the value of x in this problem is 9

The resulting coordinate of the vertices after translation will be (-2, 1), (-2, 4) and (0, 4)

Translation is a transformation techniques of changing the position of an object on the xy-plane.

If the coordinate A is translated three squares left and three squares up, the translation rule will be (x, y)-> (x-3, y+3)

Given the coordinate of the triangle A to be (1, 4), (1, 1) and (3,1), the resulting coordinate of the vertices after translation will be (-2, 1), (-2, 4) and (0, 4)

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We simplify the expression to get y = 7x - 77. This is the equation in the form y = f(x) without the parameter t.

To eliminate the parameter t, we need to isolate t in one of the equations and substitute it into the other equation. Let's start by isolating t in the first equation:
x = 11 + t
t = x - 11

Now we can substitute this expression for t into the second equation:
y = 7t(x)
y = 7(x - 11)
y = 7x - 77

So the equation in the form y = f(x) without the parameter t is:
y = 7x - 77

This is the final answer.

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Answer:

Green(before) : \(\frac{2}{12}\)

Red(before) : \(\frac{2}{12}\)

Purple(before) : \(\frac{3}{12}\)

Gold(before) : \(\frac{5}{12}\)

That is before. Now there are only 11 marbles, so that is the new total. Depends on which color you got to tell the new probability.

The ladder needs to make an angle of approximately 54.7 degrees with the house in order for Brigid to reach 18 feet up the side of the house.

To determine the angle the ladder needs to make with the house, we can use the tangent function.

First, we'll need to determine the opposite side (the height that the ladder needs to reach) and the adjacent side (the distance from the base of the ladder to the house) of the triangle formed by the ladder and the house.

Opposite side = 18 feet

Adjacent side = 25 feet

We can then use the tangent function to find the angle:

tan(angle) = opposite / adjacent

Solving for the angle, we get:

angle = arctan(18/25) = approximately 54.7 degrees

Therefore, the ladder needs to make an angle of approximately 54.7 degrees with the house in order for Brigid to reach 18 feet up the side of the house.

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Answer:

2

Step-by-step explanation:

because average of 1 and 2 is 1.5 rounded is 2

The standard deviation of your revenues in a day is 14.

The square root of the variance is used to calculate the standard deviation, a statistic that expresses how widely distributed a dataset is in relation to its mean.

Let x be the revenue from hats.

And let y be the revenue from sunglasses.

And z be the total revenue.

Then according to the question:

z = 10x + 5y

You know the expected number of hats sold in a day is 10 with standard deviation 1.

σₓ = 1

σy = 2

Taking squares of both of the equation.

σₓ² = 1² = 1

σy² = 2² = 4

To find the standard deviation of your revenues in a day:

V(z) = (10)²σₓ² + 5²σy²

V(z) = (100)(1) + (25)(4)

V(z) = 200

Standard deviation,

σz² = √(200)

σz² = 10√(2)

σz² = 14.14

σz² ≈ 14

Therefore, the required standard deviation is 14.

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Answer:

I had 61.09090909 repeating as a answer, you can round it, but if you divide 168 by 11 because that is the total amount of people then that gives a decimal place and that doesn't make sense. But I may be right. So best of luck. If I get you wrong then I am truly sorry

Step-by-step explanation:

the rate of change of the radius at the instant the volume equals 36π cm³ is 7 / (36π) cm/sec.

The volume V of a sphere with radius r is given by the formula V = (4/3)πr³. We are given that the rate of change of the volume is 7 cm³/sec. Differentiating the volume formula with respect to time, we get dV/dt =(4/3)π(3r²)(dr/dt), where dr/dt represents the rate of change of the radius with respect to time.

We are looking for the rate of change of the radius, dr/dt, when the volume equals 36π cm³. Substituting the values into the equation, we have: 7 = (4/3)π(3r²)(dr/dt)

7 = 4πr²(dr/dt) To find dr/dt, we rearrange the equation: (dr/dt) = 7 / (4πr²) Now, we can substitute the volume V = 36π cm³ and solve for the radius r: 36π = (4/3)πr³

36 = (4/3)r³

27 = r³

r = 3  Substituting r = 3 into the equation for dr/dt, we get: (dr/dt) = 7 / (4π(3)²)

(dr/dt) = 7 / (4π(9))

(dr/dt) = 7 / (36π)

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a) Fiscal policy: Increase government spending or reduce taxes to boost aggregate demand (AD). Monetary policy: Lower interest rates or increase money supply to stimulate AD.

b) Impact depends on SRAS slope. Output ↑, unemployment ↓ in short run. Inflation ↑ if SRAS is steep.

c) Higher inflation expectations from persistent expansionary policies can lead to increased wages and prices, resulting in higher inflation in the long run.

d) Expansionary fiscal policy can lead to budget deficits, crowding out private investment, higher government debt, future tax burdens, and dependency on government intervention.

a) Fiscal policy involves using government spending and taxation to influence aggregate demand (AD) and stabilize the economy. To minimize the unemployment rate, the prime minister could implement expansionary fiscal policy by increasing government spending or reducing taxes. This would lead to an increase in AD, stimulating economic activity, and potentially reducing unemployment. Monetary policy, on the other hand, involves actions taken by the central bank to influence the money supply and interest rates. The prime minister could work with the central bank to implement expansionary monetary policy, such as lowering interest rates or conducting open market operations to increase the money supply. This would encourage borrowing and spending, boosting AD and potentially reducing unemployment.

b) If the central bank helps the prime minister achieve the goal of minimizing the unemployment rate, it can have short-run effects on both the unemployment rate and the inflation rate. Expansionary fiscal and monetary policies can increase AD, leading to increased output and potentially reducing unemployment in the short run. However, the impact on inflation will depend on the slope of the short-run aggregate supply (SRAS) curve. If the SRAS is relatively flat, the increase in output will have a larger impact on reducing unemployment without significantly increasing inflation. Conversely, if the SRAS is steep, the increase in output may lead to a significant increase in inflation with only a modest reduction in unemployment.

c) The opposition leader's argument is related to the long-run implications of the prime minister and central bank's agreement on inflation expectations. According to the AD-AS model, in the long run, the economy will reach the natural rate of unemployment (NRU) where the SRAS curve intersects the long-run aggregate supply (LRAS) curve. If expansionary fiscal and monetary policies are used persistently to reduce the unemployment rate below the NRU, it can create inflationary pressures. This may result in higher inflation expectations among households and businesses, leading to higher wage demands and increased prices.

d) If the prime minister chooses to use fiscal policy to minimize the unemployment rate, the opposition leader argues that it will also be costly in the long run. This is because expansionary fiscal policy, such as increasing government spending or reducing taxes, can lead to budget deficits. Persistent budget deficits can increase government debt and require borrowing, which may lead to higher interest rates and crowding out private investment. Higher government debt can also result in future tax burdens or reduced government spending on other essential areas, impacting long-term economic growth.

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The probabilities for each case are:

There are 8 reservations for passengers that may go or not, such that the probability of arriving to the flight is P = 0.42, and the probability of not arriving is Q = 0.58

a) There will be overbooking if 7 or more passengers go to the flight, the probability that the 8 attend is:

P(8) = (0.42)^8

The probability that 7 attend is:

P(7) = 8*(0.42)^7*(0.58)

(where the factor 8 is because there are 8 permutations)

The total probability is:

P = P(8) + P(7) = 0.012

b) Will be empty seats if less than 6 people go.

The probability that exactly 6 of these people go to the flight is:

P(6) = (28)*(0.42)^6*(0.58)^2

Where there are 28 permutations, that is why we used that factor.

Then, the probability of having empty seats is:

P = 1 - P(6) - P(7) - P(8) = 0.937

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Answer:

y^2/16  -  x^2/144 =1 is your answer.

Step-by-step explanation:

Answer:

19/25 = x/100

Cross multiply:

1,900

Divide 1,900 by 25

Equals 76

Subtract 76 from 100

Answer: 24% change

hope this helps

have a good day :)

Step-by-step explanation:

The percentage of the questions which of are intermediate​ level are 31 %.

It is given in the question that practice questions for a textbook are marked with difficulty levels of​ easy, intermediate, and difficult.  It is also given that 42 of the 136 practice questions are rated as​ intermediate.

We have to find the percentage of the questions which of are intermediate​ level .

We know that,

Percentage of intermediate questions = (Number of intermediate questions/Total number of questions)*100

Hence, from the data given in the question, we can write,

Percentage of intermediate questions = (42/136)*100 = 30.88 % ≈ 31 %

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Answer

The transformation is a dilation with a scale factor of 2.

Explanation

The vertices of the triangle are given as A (1, 3), B(4, 2), and C (3, 8).

Which transformation would produce an image with vertices

A' (2, 6), B'(8, 4), C'(6, 16)?

As we can see from the solution of the transformation, the new coordinates are double the given coordinates.

A rotation, 90º clockwise or anticlockwise interchanges the x and y coordinates somewhat.

A reflection does this interchanging too.

But a dilation with a scale factor changes the size of the figure by multiplying the coordinates of the vertices by the value of the scale factor.

Since the new coordinates are double of the old coordinates, we can see that this transformation is a dilation with a scale factor of 2.

Hope this Helps!!!

Answer:

Step-by-step explanation:

The correct option is the third one; (14, 4); The vertex represents the maximum profit.

For a general quadratic equation

y = ax² + bx + c

The vertex is at the x-value:

x = -b/2a

Here the quadratic function is:

f(x)=  -x² + 28x - 192

The vertex is at:

x = -28/2*-1 = 14

Evaluating in x= 14 we get:

f(14) = -14² + 28*14 - 192 = 4

So the vertex is at (14, 4), and because the leading coefficient is negative, this is the maximum profit.

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-5 and 7

Step-by-step explanation

lets try putting -5 and 7

-5 +7=2

and the difference is 8

i am not smart sorry

Answer:

y = 1/2x - 2

Step-by-step explanation:

Given points (0, -2) and (8, 2) from the graph:

We can use these values to solve for the slope:

\(m = \frac{y2 - y1}{x2 - x1}\)

where:

x1 = 0, x2 = 8

y1 = -2, y2 = 2

\(m = \frac{y2 - y1}{x2 - x1} = \frac{2 - (-2)}{8 - 0} = \frac{2 + 2}{8} = \frac{4}{8} = \frac{1}{2}\)

Therefore, our slope is 1/2.

Next, we can determine the value of the y-intercept, which is the the y-coordinate of the point where the graph of the linear equation crosses the y-axis. The y-intercept is also the value of y when x = 0. If you look either at the graph, or one of the points we used to solve for the slope, you'll see that (0, -2) gives us the y-intercept, -2.  

Another way to find out the value of the line's y-intercept is to plug in the values of one of the points on the graph into the slope-intercept form y = mx + b:

Let's choose the ordered pair, (8, 2), and our slope, m = 1/2:

y = mx + b

2 = \(\frac{1}{2}(8)\) + b

2 = 4 + b

Subtract 4 on both sides of the equation to solve for the y-intercept (b):

2 - 4 = 4 + b - 4

-2 = b

It still gives us the same y-intercept value of -2. We can finally put together our linear equation given our slope of 1/2 and y-intercept, -2.

Therefore, our linear equation in slope-intercept form is:

y = 1/2x - 2.

The exact calculations for probabilities, expected value, and variance are omitted from response due to limitations of text-based format. It is to perform the calculations using the provided probabilities and formulas.

In a match between two teams, Λ and B, the match will end as soon as one team has won three games. The team Λ has a probability of 1/6 of winning each game, and the games are independent. The goal is to determine the sample space for the number of games played in a match (n), calculate the probability for each n value in the sample space, and find the expected value and variance for n.

(a) The sample space for n consists of all possible outcomes for the number of games played in a match. Since the match ends when one team wins three games, the sample space for n ranges from 3 to infinity, as there is no upper limit on the number of games that can be played. (b) To calculate the probability for each n value in the sample space, we consider the different ways in which three games can be won by either team. The probability of team Λ winning three games in a row is (1/6)^3, as each game is independent and has a probability of 1/6. Similarly, the probability of team B winning three games in a row is (5/6)^3. For n > 3, the probability is the sum of the probabilities of team Λ winning three games and team B winning three games at any position within the n games.

(c) The expected value for n can be calculated by multiplying each n value by its corresponding probability and summing them up. The variance can be calculated using the formula Var(n) = E(n^2) - [E(n)]^2, where E(n^2) is the expected value of n^2.

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Answer:

625 stamps

Step-by-step explanation:

100-45-30=25%

0.25 x 2500 = 625

Answer:

\(( - 4) \times 2 \frac{3}{5} =(- 4) \times \frac{13}{5} = \frac{ (- 52)}{5} \\ = \boxed{ - 10.4}\)

Answer:

-12/5

Step-by-step explanation:

2 and 3/5 can be changed to 13/5

multiply -4 by 3/5 to get -12/5

Yes, women save more money than men. The value of the test statistic for this hypothesis test is 1.93.

The hypothesis test used in this case is a two-sample t-test. This test is used to compare two independent means from two different groups. The null hypothesis states that there is no difference between the means of the two groups, while the alternative hypothesis states that there is a difference.  

To begin, the value of the test statistic must be calculated. The test statistic is calculated by subtracting the two means and dividing by the standard error. The standard error is calculated by taking the standard deviation of each group and dividing it by the square root of the sample size. So, for this hypothesis test, the test statistic is calculated as follows: (54 - 50) / (10/√25 + 5/√30) = 4 / (2.06) = 1.93.

To determine if women save more money than men, the test statistic must be compared to the critical value associated with the significance level. As the significance level is 0.01, the corresponding critical value is -2.575 and 2.575. Since the test statistic (1.93) is greater than the critical value (2.575), the null hypothesis can be rejected. This indicates that there is sufficient evidence to suggest that women save more money than men.

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Answer:

A pear is 3.4

Step-by-step explanation:

Answer: A pear cost $4.

Step-by-step explanation:

If the total price of four oranges and five pears is $32 then we could represent it by the equation  4x + 5y = 32   where x is cost of one orange and y is the cost of one pear.

The same way we could represent the second statement by the equation

3x + 2y = 17      

We know have the two systems of equations:

4x + 5y = 32

3x + 2y = 17         Solve using the elimination method

  Multiply the top equation by -3 and the down equation by 4 to eliminate x.

-3(4x + 5y) = -3(32) =  -12x - 15y = -96

 4(3x +2y) = 4(17)  =   12x + 8y = 68    

We now have the two new equations:

-12x -15y = -96      Add both equations

12x + 8y = 68            

      - 7y = -28

     y= 4    

Which means the cost of one pear is $4.

A.  These equations will give us the optimal values of x and y.

B. (b) To determine which exam you would be better prepared for, we compare the Math_grade and Physics_grade using the optimal values obtained in part (a).

C. We can follow the same steps as in part (a) to set up the equations and find the optimal number of hours spent studying for the two exams.

D. the specific impact would depend on the magnitude of the increase and how it interacts with the other variables and constraints in the problem.

(a) Let's define the variables:

Let x represent the number of hours spent studying math.

Let y represent the number of hours spent studying physics.

We want to maximize the average grade, which is proportional to the product of the hours spent studying and the ability to absorb the material.

The math grade is proportional to x * (1 - 0.04x) * (1 - 0.02y)

The physics grade is proportional to y * (1 - 0.03y) * (1 - 0.05x)

We want to maximize the average grade:

Average grade = (math grade + physics grade) / 2

Now, let's set up the optimization problem:

Maximize: (x * (1 - 0.04x) * (1 - 0.02y) + y * (1 - 0.03y) * (1 - 0.05x)) / 2

Subject to:

0 ≤ x ≤ 24 (maximum hours per day)

0 ≤ y ≤ 24 (maximum hours per day)

To solve this optimization problem, we can use calculus or numerical optimization methods.

(b) To determine which exam you would be better prepared for, calculate the average grade for the optimal number of hours obtained in part (a). Compare the average grade of math and physics to determine which one is higher.

(c) Now, assuming the exam scores improve by an additional 10% for every hour not studying, we need to modify the objective function in the optimization problem. Let's redefine the variables:

Let x represent the number of hours spent studying math.

Let y represent the number of hours spent studying physics.

Let z represent the number of hours not spent studying (24 - x - y).

The math grade is proportional to x * (1 - 0.04x) * (1 - 0.02y)

The physics grade is proportional to y * (1 - 0.03y) * (1 - 0.05x)

The additional benefit is 10% * z.

The new objective function to maximize the average grade is:

(x * (1 - 0.04x) * (1 - 0.02y) + y * (1 - 0.03y) * (1 - 0.05x) + 0.1 * z) / 2

Subject to:

0 ≤ x ≤ 24 (maximum hours per day)

0 ≤ y ≤ 24 (maximum hours per day)

z = 24 - x - y

(d) To examine the sensitivity of the answer to the additional 10% benefit from not studying, you can perform sensitivity analysis by changing the percentage value and observing the effect on the average grade. Increasing the effect of this benefit would likely result in a higher average grade as more emphasis is placed on the additional benefit gained from not studying. However, the exact impact would depend on the specific values used and the relationships between the variables and grades.

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The 95% confidence interval for the mean of the population lies between

(17.61, 62.39)

Construct a 95% confidence interval for the mean:

To construct a 95% confidence interval for the mean of the population, we must start with finding the following:

Mean

n=4

Mean=(25+47+32+56)/n

         =(160)/4

         =40

Mean is 40

Standard deviation σ

                             = \(\frac{1}{n-1}( \sum x^{2} -n(mean)^{2} )\)

                             = \(\frac{1}{3} (6994-4(40)^{2} )\)

                            σ= 14.07

Now, we construct 95% confidence interval CI:

Confidence interval=mean± t-table value*(standard deviation/√n)

Given a t-table value of 3.1824 from z-distribution table, mean=40, n=4, and standard deviation=14.07, we have:

Confidence interval=(40±3.1824(14.07/√4)

                               =(40±22.39)

                               =(40-22.39, 40+22.39)

Confidence interval=(17.61, 62.39)

The question was incomplete, below is the complete question:

You are given the following information obtained from a random sample of four observations taken from a large, normally distributed population.

25 47 32 56

Construct a 95% confidence interval for the mean of the population

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