the difference between the sample statistic and the population parameter when sampling is done correctly is referred to as what?

Answer:

I believe it's 3 but I haven't taken a math class in a hot min

The proportion of operations that lasted less than 118 minutes is approximately 0.16.

To find the proportion of operations that lasted less than 118 minutes, we need to calculate the area under the normal distribution curve up to that point. Given the average duration of 130 minutes and a standard deviation of 12 minutes, we can use z-scores to determine the proportion.

First, we calculate the z-score using the formula z = (x - μ) / σ, where x is the given value (118 minutes), μ is the mean (130 minutes), and σ is the standard deviation (12 minutes). Substituting the values, we have z = (118 - 130) / 12 = -1.

Using a standard normal distribution table or calculator, we find that the proportion of values less than -1 is approximately 0.1587. However, since we're interested in the proportion of values less than 118 minutes, we take the area to the left of -1 and subtract it from 0.5 (the area under the entire curve).

Therefore, the estimated proportion of operations that lasted less than 118 minutes is approximately 0.5 - 0.1587 = 0.3413, which is approximately 0.16.

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Della was crying because she doesn't have enough money to brought the present for her husband Jim.

Basically, the O Henry's story of "The gift of Magi" has the central them as Love. In this story, he sets up a contrasted picture in life- love among the ruins- the acute poverty in the family and the sacrifice of the greatest possessions of the family.

In this stage he defines how their possession has helped Jim and Della, that's the hero and heroine to conquer poverty they were in.

Now, the reason behind Della's cry was she had only one dollar and eighty seven cents and with this small amount she could not buy a good present for her dear husband.

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Part A

2 white, 5 red, 7 total

P(1st white) = 2/7

P(1st white, 2nd white) = P(1st white)*P(2nd white)

P(1st white, 2nd white) = (2/7)*(4/9)

P(1st white, 2nd white) = 8/63

Let m = 8/63

---------------

P(1st red) = 5/7

P(1st red, 2nd red) = P(1st red)*P(2nd red)

P(1st red, 2nd red) = (5/7)*(7/9)

P(1st red, 2nd red) = 5/9

Let n = 5/9 = 35/63

---------------

m+n = P(both are same color)

m+n = 8/63+35/63

m+n = 43/63

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

Part B

m = P(first white then red)

m = (2/7)*(5/9)

m = 10/63

n = P(first red then white)

n = (5/7)*(2/9)

n = 10/63

r = P(second bead isn't same color as first)

r = m+n

r = 10/63+10/63

r = 20/63

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

Part C

m = P(1st white, 2nd white)

m = (2/7)*(4/9)

m = 8/63

n = P(1st red, 2nd white)

m = (5/7)*(2/9)

m = 10/63

m+n = P(2nd is white)

m+n = 8/63+10/63

m+n = 18/63

m+n = 2/7

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

Part D

If we withdraw 1 white bead, but we add it back in, then the probability of selecting white has not changed on the second selection.

The same can be said if we picked a red bead as well. This is because we simply replace the red bead with a copy of some other red bead.

Nick's statement is another way of saying replacement is happening.

Answer:

-2(x+4)(x+2)

Step-by-step explanation:

thats the answerer

Answer: -4096

Step-by-step explanation:

I just did the lesson

Answer: \(y-8=-2(x+3)\)

Step-by-step explanation:

See attached image, it's direct formula substitution.

a. x is an eigenvector of B belonging to an eigenvalue µ = (1 - 2α + α²) of B. b. x is an eigenvector of B belonging to an eigenvalue µ = 0 of B. Since B has a zero eigenvalue, it is singular.

a) Let x be an eigenvector of A belonging to an eigenvalue α of A, then we have:

Ax = αx

Multiplying both sides by A and rearranging, we get:

A²x = αAx = α²x

Now, substituting (I - 2A + A²) for B, we have:

Bx = (I - 2A + A²)x = Ix - 2Ax + A²x

 = x - 2αx + α²x (using Ax = αx and A²x = α²x)

 = (1 - 2α + α²)x

So, x is an eigenvector of B belonging to an eigenvalue µ = (1 - 2α + α²) of B.

b) If α = 1 is an eigenvalue of A, then we have:

Ax = αx = x

Multiplying both sides by A and rearranging, we get:

A²x = A(x) = α(x) = x

Now, substituting (I - 2A + A²) for B, we have:

Bx = (I - 2A + A²)x = Ix - 2Ax + A²x

= x - 2x + x (using Ax = x and A²x = x)

 = 0

So, x is an eigenvector of B belonging to an eigenvalue µ = 0 of B. Since B has a zero eigenvalue, it is singular.

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Answer:

range = 6

Step-by-step explanation:

the range is the difference between the maximum and minimum values in the data set.

maximum = 8 and minimum = 2 , then

range = 8 - 2 = 6

Answer:

x=15

Step-by-step explanation:

crown plz

The figure above is a rectangle

The classifications of a rectangle are:

1. A rectangle has 4 sides and angles, therefore, it is a quadrilateral.

2. Each interior angle is a right-angle, that is 90⁰

3. The sum of the interior angles equals 360

4. The opposite sides are parallel

5. The opposite sides are equal

6. The diagonals bisect each other

7. The diagonals have the same length

The value is 3. 24. Option C

Index form is defined as the power or exponent that is raised to a number or a variable.

From the information given, we have the expression to be represented as;

\((\frac{(1.8)^7}{1. 8^6} )^2\)

Now, we have to expand the exponential value of the bracket, we have;

\(\frac{(1. 8)^7^*^2}{(1. 8)^6^*^2}\)

expand the bracket

\(\frac{(1.8)^1^4}{(1.8)^1^2}\)

Using the laws of laws of indices, take the inverse of the denominator

(1. 8)^14-12

(1. 8)²

3. 24

Thus, the value is 3. 24. Option C

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Answer:

3.24

Step-by-step explanation:

The Earth is estimated to be around 4.54 billion years old, while the oldest known rocks found on Earth date back to about 4 billion years ago.

Determining the age of the Earth is a complex process that involves a variety of scientific disciplines. Geologists and other scientists have used a variety of methods to estimate the age of the planet, including radiometric dating, which involves measuring the decay of radioactive isotopes in rocks and other materials.

The age of the oldest known rocks found on Earth has also been determined using radiometric dating techniques. These rocks, which are primarily found in Western Greenland, have been dated to around 3.8 to 4.0 billion years old. The rocks are believed to have formed during the Hadean Eon, a period of Earth's history when the planet was still in its early stages of formation and was subject to intense meteorite bombardment.

It's important to note that the age of the Earth and the age of the oldest known rocks found on its surface are not precise measurements.

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Answer:

6.72/3.2=2.1

Step-by-step explanation:

Hey there!

10x ÷ 8 = 18

MULTIPLY 8 to BOTH SIDES

10x ÷ 8 * 8 = 18 * 8

SIMPLIFY IT

NEW EQUATION: 10x = 144

DIVIDE 10 to BOTH SIDES

10x/10 = 144/10

CANCEL out: 10/10 because it gives you 1

KEEP: 144/10 because it helps simplify for the x-value

x = 144/10

x = 144 ÷ 2/10 ÷ 2

x = 72/5

Therefore, your answer is: x = 72/5

Good luck on your assignment and enjoy your day!

~Amphitrite1040:)

The amount of change that Melvin would receive from a $20 bill is equal to: C. $11.78.

In order to determine the amount of change that Melvin would receive from a $20 bill, we would first of all calculate the total cost before tax.

For the cinnamon roll, we have:

Cinnamon roll's cost = $2.59.

For three (3) doughnuts, we have:

Doughnut's cost = 0.95 × 3

Doughnut's cost = $2.85.

For two (2) dozen doughnut holes, we have:

Doughnut hole's cost = 1.75 × 2

Doughnut hole's cost = $3.5.

Total cost = $2.59 + $2.85 + $3.5

Total cost = $8.94

Next, we would determine the new cost after applying sales tax:

New cost = 8.94 - 0.72

New cost = $8.22.

Now, we can determine Melvin's change:

Change = Dollar bill - New cost

Change = $20 - $8.22.

Change = $11.78.

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Answer:

4 C$11.78

Step-by-step explanation:

Answer:

không

Step-by-step explanation:

Answer:

(a + b)(a - b) = a² - b²

Step-by-step explanation:

(a + b)(a - b) = a (a - b ) + b (a - b )

                 = a²  - ab + ba  - b²             [ ab = ba ]

                 = a² - ab + ab - b²               [ ab - ab = 0 ]

                 = a² - b²

Answer:

4950

Step-by-step explanation:

6600-25% its making me type more so pretend like this matters

If x and y satisfy the system of equations 4x + 5y = 9 and 9x + 1y = 10, then the value of (x + y) is 2.

Given the system of the linear equations are

4x + 5y = 9 ................. (i)

9x + y = 10 ............... (ii)

Now multiplying 5 with equation (ii) we get,

5(9x + y) = 5*10

45x + 5y = 50 ..................... (iii)

Subtracting equation (i) from equation (iii) we get,

(45x + 5y) - (4x + 5y) = 50 - 9

45x + 5y - 4x - 5y = 41

41x = 41

x = 41/41 = 1

Substituting x = 1 in equation (i) we get,

4 * 1 + 5y = 9

4 + 5y = 9

5y = 9 - 4 = 5

y = 5/5 = 1

So the solutions are x = 1 and y = 1.

Hence the value of x + y = 1 + 1 = 2.

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To write an absolute value Equation for a given solution set, we need to use the appropriate formula depending on the nature of the solution set.

To write an absolute value equation for a given solution set, we need to first understand what absolute value is. Absolute value is a mathematical function that returns the positive value of a given number, irrespective of its sign. For example, the absolute value of -5 is 5, and the absolute value of 5 is also 5. Now, let's consider the given figures and their respective solution sets:

Figure 1: The solution set for this figure is {2, -2}. To write an absolute value equation for this solution set, we can use the formula |x| = a, where a is the value of the solution set. Therefore, the absolute value equation for this figure is |x| = 2.

Figure 2: The solution set for this figure is {5}. To write an absolute value equation for this solution set, we can use the formula |x - b| = a, where b is the midpoint of the solution set and a is the distance from the midpoint to one of the solutions. Therefore, the absolute value equation for this figure is |x - 5| = 0.

Figure 3: The solution set for this figure is {-3, 3}. To write an absolute value equation for this solution set, we can again use the formula |x| = a, where a is the value of the solution set. Therefore, the absolute value equation for this figure is |x| = 3.

In conclusion, to write an absolute value equation for a given solution set, we need to use the appropriate formula depending on the nature of the solution set.

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Answer:

D. reflection then rotation

Step-by-step explanation:

ABC then A'B'C' then A''B''C''

Following this order, you can see that ABC is reflected across the x-axis to create A'B'C'.

A'B'C' is then rotated anticlockwise to create A''B''C''. How do we know this? The vertexes are pointing in different directions. If it was translated then B' would have been facing downwards instead of facing to the right

There are no sign changes in the first column of the Routh array, therefore the system is stable.

Given: Characteristic equation for system `(a)`: 12s⁵ + 4s⁴ + 6s³ + 2s² + 6s + 4 = 0

Characteristic equation for system `(b)`: 12s⁵ + 8s⁴ + 18s³ + 12s² + 9s + 6 = 0

To determine the stability of the systems with the given characteristic equations, we need to find out the roots of the given polynomial equations and check their stability using Routh-Hurwitz criteria.

To find out the stability of the system with given characteristic equation, we have to check the conditions of Routh-Hurwitz criteria.

Let's discuss these conditions:1. For the system to be stable, the coefficient of the first column of the Routh array must be greater than 0.2.

The number of sign changes in the first column of the Routh array represents the number of roots of the characteristic equation in the right-half of the s-plane.

This should be equal to zero for the system to be stable.

There should be no row in the Routh array which has all elements as zero.

If any such row exists, then the system is either unstable or marginally stable.

(a) Let's calculate Routh-Hurwitz array for the polynomial `12s⁵ + 4s⁴ + 6s³ + 2s² + 6s + 4 = 0`0: 12 6 42: 4 2.66733: 5.6667 2.22224: 2.2963.5 0.48149

Since, there are 2 sign changes in the first column of the Routh array, therefore the system is unstable.

(b) Let's calculate Routh-Hurwitz array for the polynomial `12s⁵ + 8s⁴ + 18s³ + 12s² + 9s + 6 = 0`0: 12 18 62: 8 12 03: 5.3333 0 04: 2 0 05: 6 0 0

Since there are no sign changes in the first column of the Routh array, therefore the system is stable.

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In this scenario, Florin and Guilder are two countries producing two goods, cheese (X) and grain (Y), using labor as the only input. Florin has 3 million workers, each capable of producing 2 blocks of X or 6 wagonloads of Y per year. Guilder has 9.6 million workers, each capable of producing 1 block of X or 4 wagonloads of Y per year. By analyzing their production possibilities frontiers (PPFs) and comparing their labor productivity, we can determine their absolute and comparative advantages, and predict the outcome of free trade.

a) The PPFs for Florin and Guilder can be plotted with X on the horizontal axis and Y on the vertical axis. Given that each country allocates one-third of its labor force to dairy production and two-thirds to wheat farming, we can identify the consumption points (A and A*) where the indifference curves representing their preferences intersect with their PPFs.

b) The PPF equation for Florin can be written as X = 2L/3 and Y = 6L/3, where L represents the labor force. For Guilder, the PPF equation is X = L/9.6 and Y = 4L/9.6.

c) Guilder has the absolute advantage in producing Y as its workers are more productive in Y compared to Florin. However, Florin has the comparative advantage in producing Y because the opportunity cost of producing Y in terms of X is lower for Florin than Guilder.

d) Under free trade, Guilder would export Y and Florin would export X. This is based on the principle of comparative advantage, where each country specializes in producing the good for which it has a lower opportunity cost.

e) When both countries fully specialize and trade, there can be a higher total production of both X and Y compared to the previous consumption points (A and A*). By focusing on producing the goods in which they have a comparative advantage and engaging in trade, both countries can benefit from increased efficiency and resource allocation.

f) To show the new Consumption Possibilities Frontier (CPF) relative to the Production Possibilities Frontier (PPF), we can plot the new CPF by using the given relative price of Y to X (0.3) and connecting the points where each country consumes along the CPF based on their respective comparative advantage and terms of trade.

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Step-by-step explanation:

1=2 given

also 1=3. [ vertical opposite angles are equal]

From above equations:

2=3

corresponding angles are equal which means both lines are parallel.

Hope thus will help:)

Answer:

A

Explanation:

The simplified version of (sec a - cosec a) / (sec a + cosec a)  is cosec 2a(cosec 2a - 2) / (sec²a - cosec²a).

The study of correlations between triangles' side lengths and angles is known as trigonometry. The field was created in the Hellenistic era in the third century BC as a result of the use of geometry in astronomical research.

Given:

(sec a - cosec a) / (sec a + cosec a)

Multiply the numerator and denominator by (sec a - cosec a)

(sec a - cosec a) / (sec a + cosec a)  × (sec a - cosec a)

(sec²a + cosec²a -2sec a cosec a) / (sec²a - cosec²a)

As we know,

\(sec^2a + cosec^2a = sec^2a \ cosec^2a\)

sec² a cosec² a - 2sec a cosec a /  (sec²a - cosec²a)

sec a cosec a (sec a cosec a - 2) / (sec²a - cosec²a)

cosec 2a(cosec 2a - 2) / (sec²a - cosec²a)

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Answer:

See below for answers

Step-by-step explanation:

12/15=4/5

8/10=4/5

18/27=2/3

6/9=2/3

8/12=2/3

12/18=2/3

9/15=3/5

10/25=2/5

Answer:

4/5, 4/5, 2/3, 2/3, 2/3, 2/3, 3/5, 2/5

Step-by-step explanation:

Answer: I believe it means that there is no solution

Step-by-step explanation: I believe this because we are given: 5 = 0. In linear graphs when lines are equal to 0 there is no equation or solution