five couples have reserved seats in a row for a concert. in how many different ways can they be seated?

Therefore , large of a sample would be required in order to estimate the mean per capita income will be $3,838.

You can assess the degree to which the distribution of your data conforms to that predicted underneath the null hypothesis of the statistical test you are just using by utilizing a test statistic. The data distribution, which is determined by the confidence interval and deviation from the central tendency of each observation, represents the frequency of each observation.

Here,

First step is to find z 80% confidence level

At 80% confidence level the z will be:

α/2 = 1 - 80% = 1 - 0.80 = 0.20

α/2= 0.20 / 2 = 0.01

Zα/2= Z0.01= 1.28 from z table

Now let calculate the Sample size using this formula

Sample size = n= [( Z[tex]\alpha[/tex]/2* σ ) / E]^2

Let plug in the formula

n = (1.28*12.1/0.25)^2

n= 3,838.05

n=3,838.(Approximately)

Therefore , large of a sample would be required in order to estimate the mean per capita income will be $3,838.

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The percentage of students who live off campus and do not have a part-time job will be 25.2%. Then the correct option is C.

The amount of any product is given as though it was a proportion of a hundred. The ratio can be expressed as a quarter of 100.

The percentage is given as,

Percentage (P) = [Final value - Initial value] / Initial value x 100

At a neighborhood school, just 60% of understudies live off the grounds. Of the people who live off-grounds, 58% of those understudies find a part-time line of work. Of the people who live nearby, 67% work part-time. The tree chart shows how the undergrads are separated into subgroups.

The number of students who live off campus and do not have a part-time job is given as,

⇒ 0.60 x (1 - 0.58) x 100

⇒ 0.252 x 100

⇒ 25.2%

The percentage of students who live off campus and do not have a part-time job will be 25.2%. Then the correct option is C.

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Answer:

x=5

y=0

Step-by-step explanation:

3x+2y−15=0

5x−3y−25=0

multiply the first equation by 3, and multiply the second equation by 2.

3(3x+2y−15=0)

2(5x−3y−25=0)

becomes:

9x+6y−45=0

10x−6y−50=0

add these equations to eliminate y:

19x−95=0

Then solve 19x−95=0 for x:

19x−95=0

19x−95+95=0+95 (add 95 to both sides)

19x=95

19x

19

=

95

19

(divide both sides by 19)

x=5

now that we've found x let's plug it back in to solve for y.

write down an original equation:

3x+2y−15=0

substitute 5for x in 3x+2y−15=0:

(3)(5)+2y−15=0

2y=0 (simplify both sides of the equation)

2y

2

=

0

2

(divide both sides by 2)

y=0

If Paige is filling her tub at a rate of 3/4 gallons every 2/3 minute, 3.375 gallons would be in the tub after 3 minutes.

It is defined as the operation in which we do the addition of numbers, subtraction, multiplication, and division. It has basic four operators that are +, -, ×, and ÷.

It is given that, Paige is filling her tub at a rate of 3/4 gallons every 2/3 minute.

We have to find gallons that would be in the tub after 3 minutes

We can utilize multiplication for the given task,

2/3 minutes = 3/4 gallons

1 minute = 3/4 × 3/2

1 minute =1.125

3 minutes = 3 × 1.125

3 minutes =3.375 gallons

Thus, if Paige is filling her tub at a rate of 3/4 gallons every 2/3 minute, 3.375 gallons would be in the tub after 3 minutes.

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The correct option for the given problem is  the statistic is biased which is (e) option.

The central limit theorem states that in the event that you have a populace with mean μ and standard deviation σ and take adequately enormous irregular examples from the populace with substitution , then, at that point, the conveyance of the example means will be roughly regularly circulated.

By using above central limit theorem establishes that for a proportion p in a sample of size n.

The expected value is μ = p

The standard error is s = [tex]\sqrt{\frac{p(1-p)}{n} }[/tex]

Now, in this problem the expected d value is different from the expected of μ = p.

Thus,  the statistic is biased, and the correct option is E.

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Correct question:

A certain statistic d hat is being used to estimate a population parameter D. The expected value of d hat is not equal to D. What property does d hat exhibit?

A. The sampling distribution of d hat is normal.

B. The sampling distribution of d hat is binomial.

C. The sampling distribution of d hat is uniform.

D. d hat is unbiased.

E. d hat is biased.

Answer:

There is no solution to this problem. It is not possible to find three numbers that form an arithmetic sequence and, when 1, 3, and 9 are added to them respectively, form a geometric sequence.

Step-by-step explanation:

To find the three numbers in the arithmetic sequence, let's call the first number in the sequence "a," the second number "a + d," and the third number "a + 2d," where "d" is the common difference between the numbers. The sum of these three numbers is:

a + (a + d) + (a + 2d) = 15

This simplifies to:

3a + 3d = 15

To find the three numbers in the geometric sequence, let's call the first number in the sequence "b," the second number "r * b," and the third number "r^2 * b," where "r" is the common ratio between the numbers. The sum of these three numbers is:

b + (r * b) + (r^2 * b) = 15 + b + (r * b) + (r^2 * b)

This simplifies to:

b(1 + r + r^2) = 15 + b + br + br^2

We are told that if 1, 3, and 9 are added to the three numbers in the arithmetic sequence, we get the three numbers in the geometric sequence. Therefore, we can set up the following system of equations:

3a + 3d = 15

b(1 + r + r^2) = 15 + b + br + br^2

Subtracting b from both sides of the second equation gives:

b(1 + r + r^2) - b = 15 + br + br^2

This simplifies to:

b(r^2 + r - 1) = 15 + br + br^2

Subtracting br and br^2 from both sides gives:

b(r^2 + r - 1) - br - br^2 = 15

This simplifies to:

b(r^2 + r - 1 - r - r^2) = 15

This simplifies to:

b(r - 1)(r + 1) = 15

Dividing both sides by (r - 1)(r + 1) gives:

b = 15 / (r - 1)(r + 1)

We are told that the three numbers in the arithmetic sequence add up to 15, so we can substitute 3a + 3d = 15 into the equation above to solve for "b":

3a + 3d = 15

b = 15 / (r - 1)(r + 1)

Substituting 3a + 3d = 15 into the equation above gives:

b = 15 / (r - 1)(r + 1)

Substituting b = 15 / (r - 1)(r + 1) into the second equation gives:

15 / (r - 1)(r + 1)(1 + r + r^2) = 15 + 15 / (r - 1)(r + 1) + 15 / (r - 1)(r + 1)*r + 15 / (r - 1)(r + 1)*r^2

This simplifies to:

15 / (r - 1)(r + 1)(1 + r + r^2) = 15 + 15r + 15r^2

Multiplying both sides by (r - 1)(r + 1) gives:

15 = 15 + 15r + 15r^2

Subtracting 15 from both sides gives:

0 = 15r + 15r^2

Subtracting 15r^2 from both sides gives:

0 - 15r^2 = 15r

This simplifies to:

-15r^2 = 15r

Dividing both sides by -15 gives:

r^2 = r

Solving for "r" gives:

r = 1 or r = 0

If "r" is equal to 1, then the common ratio between the numbers in the geometric sequence is 1, which means that the three numbers in the geometric sequence are the same. This does not satisfy the condition that the three numbers in the geometric sequence are formed by adding 1, 3, and 9 to the three numbers in the arithmetic sequence, so we can eliminate this solution.

If "r" is equal to 0, then the common ratio between the numbers in the geometric sequence is 0, which means that the three numbers in the geometric sequence are all 0. This does not satisfy the condition that the three numbers in the geometric sequence are formed by adding 1, 3, and 9 to the three numbers in the arithmetic sequence, so we can eliminate this solution as well.

Therefore, there is no solution to this problem. It is not possible to find three numbers that form an arithmetic sequence and, when 1, 3, and 9 are added to them respectively, form a geometric sequence.

The right response is (b), as it increases the minimum sample size required to ensure a given margin of error.

When a tiny sample of data from a relatively large population is estimated, this is what is meant by the term "margin of error" .  The standard deviation, sample size, and desired confidence level are often the factors that control the margin of error.

calculation

Let's take a look at the values in the supplied statement to discover the missing term.

the population's standard deviation is where

m stands for "Margin of Error," and Z stands for "Empirical Value of Z-Score" at a specific confidence level.

As a result, the recommended minimum sample size for a particular degree of confidence is

⇒ (Z×σ)²/m²

The minimal sample size is directly correlated with the population's standard deviation, as shown by the calculation above.

Therefore, when the population "standard deviation" increased, the minimal sample size needed would also "rise."

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Answer:

  (a)  The value 550 represents the initial balance in the account, which means the account started with $550.

Step-by-step explanation:

You want the meaning of 550 in the simple interest expression 687.5 = 550(1 + 0.05t).

The formula for computing the amount A of an account earning simple interest at annual rate r on its initial balance P for t years is ...

  A = P(1 +rt)

Comparing this formula to the given equation, we see ...

  687.5 = 550(1 +0.05t)

The initial balance (starting amount) was 550.

The number of dollars that should be bought and sold to have the profit of $10 is 8.

An equation is the statement that illustrates the variables given. In this case, two or more components are taken into consideration to describe the scenario.

In this case, the buying and selling rates of U.S. dollar ($) in a day are - Rs 115.25 and Rs 116.5 respectively. Let the dollars bought be illustrated as x.

This will be:

116.5x - 115.25x = 10

1.25x = 10

Divide

x = 10 / 1.25

x = 8

The number is 8.

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For the given right triangle the measure of the remaining angles are 2.9° and 87.1° and the remaining sides are 5.9 cm and 116.85 cm respectively.

The trigonometric ratios are defined for a right angled triangle.

The example of these ratios are sin, cos, tan, cosec, sec and cot.

The trigonometric ratios are useful in determining the heights and distances of the large objects.

Given that,

In a right triangle tan(P) = 0.051

And, hypotenuse = 117 cm.

The given data can be shown in the diagram as follows,

From the diagram it can be written as,

tan(P) = 0.051

=> P = 2.9°

Then, ∠Q = 180° - (90° + 2.9°)

                = 87.1°

Now, Sin(P) = p/117

        => Sin(2.9°) = p/117

        => p = 117 × Sin(2.9°)

                = 5.9

Similarly, Cos(P) = q/117

            => Cos(2.9°) = q/117

             => q = 117 × Cos(2.9°)

                      = 116.85

Hence, the measure of the remaining angles are 2.9° and 87.1° and the remaining sides are 5.9 cm and 116.85 cm respectively.

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The correct representations of the inequality expression are (a) 6x – 15 > -10 + 5x and (c) 3(2x – 5) > -5(2 – x)

From the question, we have the following expression that can be used in our computation:

–3(2x – 5) < 5(2 – x)

Divide bot sides of the inequality by -1

So, we have the following representation

3(2x – 5) > -5(2 – x)

Next, we open the brackets

This gives

6x – 15 > -10 + 5x

Hence, the representation is 6x – 15 > -10 + 5x

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Complete question

Which are correct representations of the inequality –3(2x – 5) < 5(2 – x)? Select two options.

(a) 6x – 15 > -10 + 5x

(b) 6x – 15 < -10 + 5x

(c) 3(2x – 5) > -5(2 – x)

(d) 3(2x – 5) < -5(2 – x)

The water levels in reservoirs A and B, which initially had 34 million gallon and 38 million gallon water, respectively, will be equal after 13.3 months.

An expression, often known as a mathematical expression, is a finite collection of symbols that are well-formed in accordance with context-dependent principles. No, a mathematical equation cannot be solved since it lacks the "equal to" sign $(=)$, but it can be simplified. Mathematical expressions consist of at least two numbers or variables, at least one math operation, and a sentence. It's possible to multiply, divide, add, or subtract with this mathematical operation.

Here,

Let the number of months be x.

34-0.8x=38-1.1x

1.1x-0.8x=38-34

0.3x=4

x=40/3

x=13.33 months

After 13.3 months, The reservoir A and reservoir B will have same amount  of water when initially they have 34 million gallon water and 38 million gallon water respectively.

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The Number of Ballon bouncer games played is 11.

What is  number ?

A number is a numerical unit of measurement and labelling in mathematics. The natural numbers 1, 2, 3, 4, and so on are the first examples. Number words can be used to represent numbers in language.

The expression for the number of ballon bouncer games played at the arcade is : 2 + 3b = 35

Let :

Glimmer arcade, g = $2 per game

Ballon bouncer, b = $3 per game

Total game tokens = 35

Her spending could be represented using the expression :

2 + 3b = 35 ; b = number of ballon bouncer games played

2 + 3b = 35

3b = 35 - 2

3b = 33

b = 33/3

b = 11

Therefore, the Number of Ballon bouncer games played is 11.

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It takes 43 hours to reach final depth of -132 feet with rate of change 72 feet per day.

Depending on the context, several phrases may be used to describe rate of change. For instance, acceleration/deceleration is the rate of change with respect to speed or velocity. The slope of the line of best fit determines the pace of change in statistics and regression modeling. It is the population growth rate. Rate of change is frequently referred to as momentum in the financial markets.

The formula [tex]R=\frac{D}{T}[/tex], or rate of change equals the distance traveled divided by the time required to do so, can be used to approach rate of change problems in general. The term "distance" can be changed to another depending on the context of the issue, such as change in worth or price.

Given,

Rate of change=72 feet per day =3 feet per hour.

Final depth=132feet;

Time taken= [tex]\frac{Final}{Rate}=\frac{132}{3} =43hours\\[/tex].

It takes 43 hours to reach final depth of -132 feet with rate of change 72 feet per day.

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A. y = - (4/3)x + 4.

y = - (4/3)x - 1.

No solution.

B. y = 4x - 5.

y = - 2x + 7.

one solution.

C. 2x + 3y = 8

4x + 6y = 17.

No solution.

D. y = 5x - 15.

y = 5(x - 3).

Infinitely many solutions.

Graphical solutions of a system of equations are a way of finding the intersection points of all the equations given.

A system with two or more than two equations has a solution only when they have a common intersection point.

We'll graph each system of equations, If they intersect at one point they have one solution, if they are parallel to each other they have no solution and if they are coinciding with each other they have infinitely many solutions.

y = - (4/3)x + 4.

y = - (4/3)x - 1.

These are parallel lines no solution.

y = 4x - 5.

y = - 2x + 7.

These lines intersect at (2, 3) one solution.

2x + 3y = 8

4x + 6y = 17.

They are parallel to each other.

y = 5x - 15.

y = 5(x - 3).

These are coinciding lines if we distribute the terms hence infinitely many solutions.

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Answer:

2x+3

Step-by-step explanation:

Combine like terms.

7x-2x-3x=2x

Then add 3 to expression

Answer:

2x+3

Step-by-step explanation:

we know that we would have to add up all the commen variables first to give the most simplified answer

first take the -2x and add it with the -3x. you get -5x.

than take the -5x and add it to the 7x. you will grt 2x

lastly add them up and you get 2x+3

Answer:15

Step-by-step explanation:

Answer:

x= 1.7

y= -1.9

Step-by-step explanation:

I will be using substitution method

in the first equation i will isolate y

3x-y=7

   +y +y

3x=7+y

-7. -7

3x-7=y

now since y is equal to 3x-7 we can put 3x-7 where y is in the second equation

4x+2(3x-7)=3

4x+6x-14=3

combine like terms

10x-14=3

   +14 +14

10x=17

/10. /10

x= 1.7

now we fill in x in any equation to find y

i will put it into the first one

3(1.7)-y=7

5.1-y=7

-5.1.  -5.1

-y=1.9

/-1.  /-1

y= -1.9

hopes this helps please mark brainliest

Answer:

f(3)=25

Step-by-step explanation:

f(3)=11(3)-8

f(3)=33-8

f(3)=25

Answer:

f(3)=25

Step-by-step explanation:

substitute 3 into the equation for x.

f(3)=11(3)-8

11×3=33 so,

33-8=25

f(3)=25

The values of all the angles are shown:

(A) m∠1: 62°   (B) m∠2: 39°

(C) m∠3: 26°  (D) m∠4: 45°

(E) m∠5: 55°  (F) m∠6: 45°

Two rays that have a common terminal and are referred to as the angle's sides and vertices, respectively, make up an angle in Euclidean geometry.

Two rays can form angles in the plane where they are positioned.

Angles are also produced when two planes intersect.

These are what are known as dihedral angles.

So, the following values of the angles are:

(A) m∠1:

28 + 90 + ∠1 = 180

118 + ∠1 = 180

∠1 = 180 - 118

∠1 = 62°

(B) m∠2:

51 + 90 + ∠1 = 180

141 + ∠1 = 180

∠1 = 180 - 141

∠2 = 39°

(C) m∠3:

25 + (180-51) + ∠3 = 180

25 + 129 + ∠3 = 180

154 + ∠3 = 180

∠3 = 180 - 154

∠3 = 26°

(D) m∠4:

∠4 + ∠6 + 90 = 180

∠4 + ∠6 = 180 - 90

∠4 + ∠4 = 90 (∠4 and ∠6 are equal:  Isosceles triangle)

2∠4 = 90

∠4 = 90/2

∠4 = 45°

(E) m∠5:

35 + 90 + ∠5 = 180

125 + ∠5 = 180

∠5 = 180 - 125

∠5 = 55°

(F) m∠6:

∠4 = ∠6 = 45°

Therefore, the values of all the angles are shown:

(A) m∠1: 62°   (B) m∠2: 39°

(C) m∠3: 26°  (D) m∠4: 45°

(E) m∠5: 55°  (F) m∠6: 45°

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You can mail small things weighing 70 pounds or less to any location in the US for a set price using USPS Small Flat Rate boxes. The cost of a USPS Small Flat Rate package is only $8.45.

The United States Postal Service (USPS), often known as the Post Office, U.S. Mail, or Postal Service, is a separate executive branch agency that is in charge of delivering postal service across the United States, including its associated states and insular territories.

It is one of the few governmental organizations that the US Constitution expressly grants authority to. 516,636 career employees and 136,531 non-career employees work for the USPS as of 2021.

The first postmaster general of the United States Postal Service, Benjamin Franklin, was appointed in 1775 during the Second Continental Congress. He also held a comparable role for the colonies of the Kingdom of Great Britain.

With the passing of the Postal Service Act in 1792, the Post Office Department was established.

Hence, A USPS Small Flat Rate box only costs $8.45.

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Answer:

Step-by-step explanation:

Looks like the clockwise rotation of 180 degrees about the point (6,−2), followed by a translation of 9 units in a negative x-direction. That is because once it's rotated it will be at x=15 and then if you subtract -9x you will land exactly where you started

Plot only the portion between x of -2 to 3.  See the attached graph.

Answer:

20°

Step-by-step explanation:

2x°+2x°+2x°+2x°+x°=180°

8x°+x°=180°

180°=9x°

Dbs by 9

x°=20°

Answer:

is there a graph available????

Step-by-step explanation:

Answer:

  3 solutions

Step-by-step explanation:

You want to know the number of solutions (zeros) of the cubic function ...

  f(x) = -x³ -32x² +12x +40

Any 3rd-degree polynomial function has 3 zeros. (This is the fundamental theorem of algebra.)

Descartes' rule of signs says the one sign change in the coefficients (--++) means there is one positive real root. On its face, this means there will be 0 or 2 negative real roots.

The value of f(0) is positive (40), and the value of f(-1) is negative (-3), so there must be two negative real roots. (F(x) is positive for very large negative x, so there must be two x-intercepts for x < 0.)

A graph shows the roots to be irrational. The three real roots are approximately ...

__

Additional comment

The "steps" are to find the degree of the polynomial. It is 3, so there are 3 zeros. It is not complicated.

What is more complicated is finding their values. The checks we described above can tell whether there are 1 or 3 real roots. (An odd-degree polynomial always has at least 1 real root.) A graph is helpful for finding whether the roots are real or complex, rational or irrational.

Here, any rational roots must be integer divisors of the constant term, 40. We know the root between 0 and -1 is irrational, so all of them are.

The above root values were obtained by Newton's Method iteration, starting from the approximate values shown on the graph.

Answer:

If Gonga's health insurance deductible is $5,500 and her medical bills for the year total $50,000, she will be required to pay the first $5,500 of her medical bills out of pocket.

Step-by-step explanation:

This means that she will be required to pay a total of $5,500 out of pocket on her annual medical bills. After she has paid this amount, her health insurance will cover the remaining costs of her medical bills up to the limit of her policy.

Answer:

$5,500

Step-by-step explanation:

Answer: y= -14.25/19.25

Step-by-step explanation:

−3.5(8.5+5.5y)=−15.5 can be write as

-29.75 - 19.25y= -15.5  

-19.25y = 14.25

y= -14.25/19.25

It takes 1 second  for the ball to reach its highest point.

Acceleration of gravity is the acceleration by which earth pulls

objects towards itself. Acceleration is the rate of change of speed.

Given,

The initial velocity of the ball = 16 feet/second

The initial height of the ball = 10 feet

The ball will first travel upward with an initial velocity of 16 feet/second

and the ball will reach a height of x feet from the point of release. After

that the ball will travel a total downward distance of (10+16) = 26 feet.

At highest point, velocity=0.

Applying, v = u + at

                0 = 16 + (-16)t

                t = 16/16

                t = 1 second

Hence, the ball will take 1 second to reach the highest point.

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Answer:

Russia

Step-by-step explanation:

The original language for the show is Russian