Greece has faced a severe economic crisis since the end of 2009. A social science researcher claims that 25% of all Greeks who would rate their lives poorly enough to be considered "suffering". To test this claim, a Gallup poll decides to survey 1,000 randomly sampled Greeks and record P. the proportion of Greeks from this sample who would rate their lives poorly enough to be considered "suffering".
a) Describe the population parameter of interest.
b) Check if the success-failure condition required for the Central Limit Theorem for the sample proportion is met.
c) What is the sampling distribution of p if the social science researcher's claim is correct?
d) What is the probability that the sample proportion p is between 24% and 28% if the social science researcher's claim is correct?

The perimeter of square ABCD is 28 units.

The perimeter of a square is the sum of all its sides. In this case, we need to find the perimeter of square ABCD.

The question provides two possible answers: 28 units and 37 units. However, we can only choose one correct answer. To determine the correct answer, let's think step by step.

A square has all four sides equal in length. Therefore, if we know the length of one side, we can find the perimeter.

If the perimeter of the square is 28 units, that would mean each side is 28/4 = 7 units long. However, if the perimeter is 37 units, that would mean each side is 37/4 = 9.25 units long.

Since a side length of 9.25 units is not a whole number, it is unlikely to be the correct answer. Hence, the perimeter of square ABCD is most likely 28 units.

In conclusion, the perimeter of square ABCD is 28 units.

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\((x + 1)(2x - 5)\)

see the attachment

For the equation 3x-2 = 2x+8, we can solve for x to find where the function is not defined:
3x-2 = 2x+8
x = 10
Therefore, the function is not defined at x=10.

The domain of this function in set notation is: {x | x ≠ 10}

For the function g(x) = x^2, there are no x values for which the function is not defined. This is because we can square any real number and get a real number output.

The domain of this function in set notation is: {x | x ∈ ℝ} (meaning x can be any real number)
For the given functions:

a) 3x - 2 = 2x + 8
Since this is a linear equation, it is defined for all x values. Therefore, there are no x values for which the function is not defined. The domain in set notation is:
Domain = (-∞, +∞) or {x | x ∈ ℝ}

b) g(x) = x^2
This is a quadratic function, which is also defined for all x values. There are no x values for which the function is not defined. The domain in set notation is:
Domain = (-∞, +∞) or {x | x ∈ ℝ}

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Answer: 338.5 mm²

Step-by-step explanation:

There are 3 rectangles for the lateral surface area

LA=Ph           lateral surface area is the are around which is found Permiter*height

LA=(7.5+10.5+11)9.5=275.5

Total area = LA + 2B                    B is the area of the base 1/2 bh

A=275.5+2(1/2)(10.5)(6)

=338.5 mm²

The angle x in the diagram is 98 degrees.

When parallel lines are cut by a transversal line, angle relationships are formed such as corresponding angles, alternate interior angle, alternate exterior angles, vertically opposite angles, same side interior angles etc.

Therefore, let's find the angle of x using the angle relationships as follows:

The size of the angle x can be found as follows:

82 + x = 180(same side interior angles)

Same side interior angles are supplementary.

Hence,

82 + x = 180

x = 180 - 82

x = 98 degrees

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Answer:

solve for y   y= -2+x/2

solve for x   x=4+2y

Step-by-step explanation:

x-2y=4

+x    =4+x

  -2y = 4 + x  divide both sides by -2

   2         -2

      y=-2 + x/2

x-2y=4

 +2y=4+2y

 x  = 4+2y

Answer:

<EFG=66

<GFH=86

Step-by-step explanation:

sol

here

<EFG=2n+16

<GFH=4n+14

we know that,

<GFH+<EFG=180°[linear pair]

or,2n+16+4n+14=180°

or,6n+30=180

or,6n=180-30

or,n=150÷6

n=25

now,

<EFG=2n+16

=2×25+16

=66

Again,

<GFH=4n+14

=4×25+14

=86

Answer:

Option (C) is correct.

Step-by-step explanation:

The given options of the possible equation for the graph are as follows:

\((A) y=2\left(\frac{3}{2}\right)^x \\\\(B) y=-2\left(\frac{3}{2}\right)^{-x} \\\\(C) y=2\left(\frac{2}{3}\right)^x \\\\(D) y=-2\left(\frac{2}{3}\right)^{-x} \\\\\)

The given graph is decreasing and at x=0, y=2.

So, first checking the value of the given options for x=0

\((A) y=2\left(\frac{3}{2}\right)^0=2\times 1= 2 \\\\(B) y=--2\left(\frac{3}{2}\right)^{-0}= -2\times 1= -2 \; (not\; possible) \\\\(C) y=2\left(\frac{2}{3}\right)^0= 2\times 1= 2 \\\\(D) y=2\left(\frac{2}{3}\right)^{-0} = -2\times 1= -2 \; (not\; possible)\)

As, for x=0, y=2, so options (C) and (D) are not possible, so rejected.

Now, checking the nature (increasing or decreasing) of the given equation by differentiating it.

For option (A),

\(\frac{dy}{dx}=2\left(\frac{3}{2}\right)^{x}\times \ln\left(\frac{3}{2}\right)\)

As \(\ln \left(\frac{3}{2}\right)=\ln(1.5)>0 \;and\; \left(\frac{3}{2}\right)^{x} >0\)

So, \(\frac{dy}{dx}>0\)

Therefore, the function in option (A) is increasing function.

Similarly, for option (C),

\(\frac{dy}{dx}=2\left(\frac{2}{3}\right)^{x}\times \ln\left(\frac{2}{3}\right)\)

As \(\ln \left(\frac{2}{3}\right)=\ln(0.67)<0 \;and\; \left(\frac{3}{2}\right)^{x} >0\)

So, \(\frac{dy}{dx}<0\)

Therefore, the function in option (C) is decreasing function.

As the given graph is decreasing, so, (C)  represents\(y=2\left(\frac{2}{3}\right)^x\) the given graph.

Hence, option (C) is correct.

The equation \((C) y = 2(\dfrac{2}{3})^{x\) could be the equation to represent the given graph is decreasing.

We have to determine, Which of the following equations could be the equation to represent the given graph.

According to the question,

The given options of the possible equation for the graph are as follows:

The given graph is decreasing and at x = 0, y = 2.

Then,

First checking the value of the given options for x = 0.

For x = 0, y = 2, so options (C) and (D) are not possible, so the options are rejected.

Therefore,

To check the nature (increasing or decreasing) of the given equation by differentiating it.

\(\dfrac{dy}{dx} = 2(\dfrac{2}{3})^x \times ln(\dfrac{3}{2})\\\\ln(\dfrac{3}{2}) = ln(1.5) >0 \ and\ (\dfrac{3}{2})^{x} >0\\\\So, \dfrac{dy}{dx}>0\\\\\)

Therefore, The function in option A  is increasing function.

For function c;

\(\dfrac{dy}{dx} = 2(\dfrac{2}{3})^x \times ln(\dfrac{2}{3})\\\\ln(\dfrac{3}{2}) = ln(0.67) <0 \ and\ (\dfrac{3}{2})^{x} >0\\\\So, \dfrac{dy}{dx}<0\\\\\)

Therefore, The function in option c is decreasing function.

The given graph is decreasing, so, the function c represents the given graph decreasing.

Hence, option (C) is correct.

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Answer:

$35.53

Step-by-step explanation:

1. Divide what Kelly paid by the amount of gallons she paid for.

a. 29.26 divided by 14 = 2.09

2. Take the amount per gallon and multiply it by 17.

a. 17 times 2.09 = 35.53

So it will be $35.53 for 17 gallons of gas.

Answer:

35.53

Step-by-step;

So Kelly got 14 gallons of gas for 29.26. She is wondering how much it would be to fill it up to 17 gallons. So what you have to do is first find out how much the gas cost per gallon. so you would divide 29.26 by 14 to get 2.09. so now that you have how much it is per gallon all you have to do is multiply the amount per gallon {2.09} by 17. so when you multiply 2.09 by 17 you get 35.53. So Kelly had to pay 35.53 for a 17 gallon tank of gas!

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Answer:

Step-by-step explanation:

Answer:

BC = 18.385

Step-by-step explanation:

You can look at ABC as a right triangle and use the Pythagorean theorem to solve for BC. 26 squared is 676, 676 divided by 2 is 338, and finally the square root of 338 is 18.385. This is the length of BC and AB as well. Hope that helped

Step-by-step explanation:

the absolute value is the numbers UNIT DISTANCE from the origin (0,0). since you can't have negative distance, the result is always positive. Can be solved by counting distance on a graph Not by the actual numbers on the line (-1,-2,-3, etc) but by counting the "boxes" from a point to the origin. hope this makes sense!

Answer:

the absolute value of negative number makes it a positive number

Answer:

a) no roots not in LHP

b) 2 roots not in LHP

c) 2 roots not in the LHP

d) 2 roots not in the LHP

e) 2 roots not in LHP

Step-by-step explanation:

Answer:

Step-by-step explanation:

The experimental probability of the cube landing on three is 1/10.

Answer:

375 = 40x + 100

Step-by-step explanation:

Answer:

8/9

Step-by-step explanation:

to simplify, you want to take out the gcf (greatest common factor)

in 32 and 36, the GCF would be 4

you divide both the numerator and the denominator by 4 to get 8/9

because the GCF of 8 and 9 is 1, you cannot simplify the fraction any further

Answer: 8/9.   32/36/4= 8/9

8/9*4/4= 32/36.

Step-by-step explanation: Hope this helps!! :)). Have a Great day and Mark me as brainlest. Thanks!! :))

The altitude of the airplane after it descends is 13,409 feet.

The meaning of ALTITUDE is the vertical elevation of an object above a surface (such as sea level or land) of a planet or natural satellite.

Now it is given that,

Initial Altitude of airplane = 14,382 feet

Then plane ascends = 9,372 feet

So, Altitude of airplane = 14,382 feet + 9,372 feet = 23,754 feet

Again airplane descends = 10,345 feet

So, Altitude of airplane = 23,754 feet - 10,345 feet

⇒ Altitude of airplane = 13,409 feet

Thus, the altitude of the airplane after it descends is 13,409 feet.

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A $1,000 initial investment in Bank ABC's CD would be worth $1,628.89 at maturity.  A $1,000 initial investment in Bank XYZ's CD would be worth $1,622.82 at maturity.

The formula to calculate the value of a CD after a specific duration at a specific interest rate compounded annually is given by:

A = P(1 + r/n)^(nt)

where P is the principal,

r is the annual interest rate,

n is the number of times compounded per year,

t is the number of years, and

A is the value of the CD at maturity.

Here, we need to calculate the value of a $1,000 initial investment in each bank's CD at maturity.

Let's calculate the value of a $1,000 investment in Bank ABC's CD.

P = $1,000

r = 5.0% compounded annually

t = 10 years

n = 1

We have all the values; let's put them in the formula and solve:

A = $1,000(1 + 0.05/1)^(1x10)A = $1,628.89

Therefore, a $1,000 initial investment in Bank ABC's CD would be worth $1,628.89 at maturity.

Let's calculate the value of a $1,000 investment in Bank XYZ's CD.

P = $1,000

r = 4.95% compounded daily

t = 10 years

n = 365

We have all the values; let's put them in the formula and solve:

A = $1,000(1 + 0.0495/365)^(365x10)A = $1,622.82

Therefore, a $1,000 initial investment in Bank XYZ's CD would be worth $1,622.82 at maturity.

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Answer:

\(A + \frac{B}{x-3} + \frac{C}{(x-3)^{2} }\)

Step-by-step explanation:

First, because the degree of the numerator is the same as the degree of the denominator, this fraction needs simplified further by long division. Upon simplification, the rational expression is \(7+\frac{2x-11}{x^2-6x+9}\).

Next, the denominatior needs factored in order to split up the second part of the simplified expression into two different partial fractions. Such factorization yields us, \((x-3)^{2}\).

Finally, we have all of our necessary information to set up all of our partial fractions.

This gives us \(A + \frac{B}{x-3} + \frac{C}{(x-3)^{2} }\), which is our answer.

The task is to determine the combination of dollars, dimes, and pennies that adds up to $3.25 while using the fewest number of bills and coins.

To find the combination of bills and coins that adds up to $3.25 with the fewest number of units, we need to consider the denominations of dollars, dimes, and pennies. Since we want to minimize the number of bills and coins, it makes sense to use the highest denomination first. In this case, a dollar bill is the highest denomination. We can start by subtracting as many dollar bills as possible from $3.25 until the remaining amount is less than a dollar.

Next, we can move on to dimes, which have a value of 10 cents. We want to use the fewest number of dimes, so we'll subtract as many dimes as possible from the remaining amount until the value is less than 10 cents. Finally, we can use pennies, which have a value of 1 cent, to make up the remaining amount. Again, we want to use the fewest number of pennies possible. To find the specific combination, we can go through a step-by-step process:

Start with $3.25.

Subtract one dollar bill ($1) from $3.25, leaving $2.25.

Subtract two dimes (2 x $0.10 = $0.20) from $2.25, leaving $2.05.

Subtract four pennies (4 x $0.01 = $0.04) from $2.05, leaving $2.01.

Subtract two dollars ($2) from $2.01, leaving $0.01.

The remaining $0.01 cannot be broken down further using the given denominations. Therefore, the fewest combination of bills and coins that adds up to $3.25 is 1 dollar bill, 2 dimes, and 4 pennies.

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Slope: A number that describes both the direction and steepness of a line

Unit rate:A ratio that is used to compare quantities

Answer:

-30

Step-by-step explanation:

3*-10 = -30

The negative rules are simply:

negative*negative = positive

negative*negative*negative = negative

Hope I helped

Answer:

S=2t

or

T=1/2 S

The architect can successfully position the central office at the intersection of each hallway connected to the three entrances, providing efficient access and supervision for staff members.

To position the central office at the intersection of each hallway connected to the three entrances to the school, the architect should consider the following steps:

1. Identify the three entrances to the school: Determine the locations where students and staff will enter the building. These entrances should be strategically placed to ensure easy access from various parts of the campus.

2. Determine the layout of the hallways: Analyze the floor plan and identify the main hallways that connect to each entrance. It is essential to consider the flow of traffic and ensure that the hallways provide efficient access to different areas of the school.

3. Locate the intersection point: Once the entrances and hallways are established, the architect should identify the point where all three hallways intersect. This point should be centrally positioned to ensure equal access from each entrance.

4. Place the central office at the intersection: Position the central office at the identified intersection point. This will allow the staff to have a central location from which they can easily monitor and access each hallway connected to the entrances.

By following these steps, the architect can successfully position the central office at the intersection of each hallway connected to the three entrances, providing efficient access and supervision for staff members.

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2 will be the final value of the semaphore.

What is the counting semaphore's initial value?

Initial value of a counting semaphore = 7

totalP() operations performed on the semaphore = 20

totalV() operations performed on the semaphore = 15

Final valoe of semaohore = ?

after 20 P operations performed on the semaphore,

  value of the semaphore =

Initial value of a counting semaphore - total P() operations performed on the semaphore

                  = 7 - 20 = - 13

after 15 V operations performed on the semaphore,

  value of the semaphore =

Value of semaphore after 20P operations performed on the semaphore + total V() operations performed on the semaphore

                          = -13 + 5

                          = 2

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Answer:

The last option

Step-by-step explanation:

(5J+1)(4+J)

20J +5J^2 +4 +J

5J^2 + 21J + 4

Answer:

D

Step-by-step explanation:

(5J+1)(4+J)

20J +5J^2 +4 +J

5J^2 + 21J + 4

Answer:

the value to be written is -2

Step-by-step explanation:

The first thing we will do here is to set the divisor equals to zero

The divisor is the denominator

Thus, we have x + 2 = 0

This indicates that x = -2

The term to be written in front of the coefficients is -2

Answer:

73.75

Step-by-step explanation:

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