theres 3 questions (please help ASAP)

False. In the given scenario, the statement "the cost function is always greater than the revenue function" is unrelated to the question about drawing three numbers whose sum is 13.

The truth or falsity of the statement does not affect the calculation of the number of ways three numbers can be drawn with a sum of 13.

To determine the number of ways three numbers can be drawn with a sum of 13, we can use a combinatorial approach. We need to find the number of combinations of three numbers from the set {1, 2, 3, ..., 10} that add up to 13. This can be done by considering different cases and using combinations or counting techniques.

Note: If you have any further questions regarding the cost and revenue functions or any other topic, please let me know, and I'll be happy to assist you.

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A large t-statistic indicates a greater difference between the sample means and provides stronger evidence for a significant difference between the populations.

The t-statistic is a measure of the difference between two sample means relative to the variability within the samples. When the population means are different, the difference between the sample means will tend to be larger, which will result in a larger numerator in the t-statistic formula. The larger the difference between the sample means, the greater the evidence for a difference between the populations. In contrast, if the population means are similar, the difference between the sample means will be smaller, resulting in a smaller numerator and a weaker test of significance.

The denominator of the t-statistic formula is the standard error of the mean, which measures the variability of sample means around the population mean. If the sample size is large enough, the standard error of the mean will be small, resulting in a smaller denominator and a larger t-statistic. Therefore, when the population means are different, a larger t-statistic would be expected due to a combination of a larger numerator and a smaller denominator.

In summary, If the population means are different, a large t-statistic would be expected.

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Micah's boxplot is incorrect because the statistical summary given by his boxplot is inaccurate.

The boxplot is a better at analysing the data as it gives more statistical output of the data than the histogram.

We need to write out the number of times taken by each student,

From the histogram; the data values are :

1, 1, 1, 2, 2, 2, 3, 3, 3, 4, 4, 5, 5, 7, 7, 8, 8, 9, 9, 10, 10, 10

Using a boxplot maker or excel, we could create a boxplot of the data and compare with that given in the question.

5 number summary of Micah's boxplot :

Minimum = 1 (position of lower whisker)

Maximum = 9 (Position of upper whisker)

Lower quartile = 3(starting point of box)

Upper quartile = 8 (endpoint of box)

Median = 5 (vertical line in between box)

Outlier = 10

5 number summary of correct or accurate boxplot :

Minimum = 1 (position of lower whisker)

Maximum = 10 (Position of upper whisker)

Lower quartile = 2 (starting point of box)

Upper quartile = 8.2 (endpoint of box)

Median = 4.5 (vertical line in between box)

Outlier = None

Comparing the box plots, it can be concluded that Micah did not create the boxplot correctly.

The equations of the relationships are y₁ = 2x, y₂ = x² and y₃ = 2ˣ

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

The table of values

Where, we can see that

Relationship 1: The variable x is doubled

This means that

y₁ = 2x

Also, we have

Relationship 2: The variable x is squared

This means that

y₂ = x²

Lastly, we have

Relationship 3: The number 2 is raised to the power of the variable x

This means that

y₃ = 2ˣ

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Answer:

9t²+(t²+2)

Step-by-step explanation:

The product of 9 and t squared is expressed as 9×t² (product means multiplication)

9×t² = 9t²

Also, sum of the square of t and 2" is expressed as t² + 2 (sum means addition)

Finally, if the product of 9 and t squared, increased by the sum of the square of t and 2", the final expression will be the sum of the two expressions gotten. {Increment also means addition} i.e 9t²+(t²+2)

The algebraic expression is 9t²+(t²+2)

Answer:

14

Step-by-step explanation:

Use rise over run, (y2 - y1) / (x2 - x1)

Plug in the points:

(y2 - y1) / (x2 - x1)

(8 + 20) / (5 - 3)

28 / 2

= 14

So, the slope is 14.

350 cheerleaders. the rate 5:7 is how many do a back tuck. soo the rate 5:7 is the same as 350:490 simplify is 35:49 simplifyed by 7 to 5:7 a

Step-by-step explanation:

the ratio is 5:7 for how many do a back tuck.

soo the rate 5:7 is the same as 350:490 // 35:49 // 5:7. hope that helps!!

In this scenario, a person chooses Lottery A over Lottery B, and we need to determine if their behavior violates expected utility theory (EUT) both without any restrictions on utility and with risk aversion. We also need to analyze whether we can predict their choice between Lottery C and Lottery D based on EUT.

(a) Without any restrictions on utility, the person's behavior does not violate expected utility theory. The person may assign higher subjective probabilities to the outcomes in Lottery A, which leads them to prefer it over Lottery B.

(b) To determine if the person's behavior violates expected utility theory with risk aversion, we would need to assess their risk preferences. Without information on their utility function, we cannot definitively conclude if their behavior violates risk aversion or not.

(c) Given that the person chose Lottery A over Lottery B, if they obey expected utility theory without any restrictions on utility, we can predict their choice between Lottery C and Lottery D. Based on the assumption that they consistently evaluate lotteries according to expected utility theory, they would choose Lottery C since it offers a higher expected value ($640) compared to Lottery D ($610).

It is important to note that these conclusions depend on the assumptions and rationality assumptions of expected utility theory. If the person's preferences do not conform to the assumptions of EUT, their choices may not align with the predictions of the theory.

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Answer:

327 children and 318 adults

Step-by-step explanation:

The x be the amount of children and y be the amount of adults that were at the swimming pool. We can use this to set up a system of equations:

x+y=645

1.75x+2.50y=1367.25

Move y to the other side in the first equation to isolate x and solve the system using substitution:

x=645-y

  1.75(645-y)+2.50y=1367.25

Distribute

1128.75-1.75y+2.50y=1367.25

         1128.75+0.75y=1367.25

Subtract 1128.75 from both sides

                        0.75y=238.5

Divide both sides by 0.75

                                y=318

x=645-y

x=645-318

x=327

327 children and 318 adults swam at the pool that day

The directrix is a line outside the parabola, while the focus is a single point inside its curve. The axis of symmetry shares the vertex's x or y value depending on whether it is a vertical or horizontal line and is perpendicular to the directrix.

A line that divides an object into two equal halves and produces a mirror-like reflection of each side of the object is known as an axis of symmetry. The word "symmetry" suggests harmony. Symmetry can be used in a variety of settings and circumstances.

An imaginary straight line known as the axis of symmetry is what divides a form into two identical halves or makes a shape symmetrical. A rectangle has two axes of symmetry, while a square has four.

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Answer: 476.9 x 100 = 47690

Step-by-step explanation: When you multiply a number by 100, you are simply adding two zeroes to the end of the number.

So, for example, to find 476.9 x 100, you can simply add two zeroes to the end of 476.9, giving you 47690.

Another way to think about it is to move the decimal point 2 places to the right.

476.9 -> 476.90

Therefore 476.9 x 100 = 47690

The solution for the system of equations is (-19,55).

As given the equations in the question

y = –3x – 2

Simplify the above

y + 3x = -2

5x + 2y = 15

Multiply y + 3x = -2 by 2 and subtracted from 5x + 2y = 15.

2y - 2y + 5x -6x = 15 + 4

-x = 19

x = -19

Putting the value of x in the equation y + 3x = -2.

y + 3 × - 19 = -2

y - 57 = -2

y = -2 + 57

y = 55

Therefore the solution for a system of equations is (-19,55).

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If person A and person B have equal positive amounts of goods X and Y and person A values good X more than good Y and person B values good Y more than good X, there are mutually beneficial trades available.

Mutually beneficial trades are the kind of trades that benefit both parties in a trade agreement. A mutually beneficial trade occurs when two countries or individuals trade and both benefit from the transaction. In the case where person A and person B have equal positive amounts of goods X and Y and person A values good X more than good Y and person B values good Y more than good X, there are mutually beneficial trades available. This is because person A would be more willing to trade his good Y for Person B’s good X since person A values good X more than good Y and person B would be more willing to trade his good X for person A’s good Y since person B values good Y more than good X. In this way, both parties would benefit from the transaction because they would be trading the goods they value less for the ones they value more.

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Answer:

10x+70=180

x=11

Step-by-step explanation:

(3x+28)+(5x+52)+(2x-10)=180⁰

3x+28+5x+52+2x-10=180

10x=180-70=110

x=110/10=11

The value of x is 9.

To find the value of x, we will need to use the properties of tangents. Recall that if two segments are tangent to a circle from the same point, then they are congruent. This means that we can set the two segments equal to each other and solve for x.



In this diagram, we can see that the two tangent segments are 5x + 9 and 3x + 27. We can set these two segments equal to each other and solve for x:

5x + 9 = 3x + 27

2x = 18

x = 9

Therefore, the value of x is 9.

To check our answer, we can substitute x back into the original equation and see if the two segments are indeed congruent:

5(9) + 9 = 54

3(9) + 27 = 54

Both segments are equal to 54, so our answer is correct. The value of x is 9.

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the answer is,

\(c(5c - 31)\)

The specific name of the quadrilateral is trapezoid

The measure of the missing angle is 55 degrees

To determine the measure of the angle, we need to know the following;

The properties of a trapezoid are listed as;

From the information given, we have that;

125 + x = 180

collect the like terms, we have;

x = 180 - 125

subtract the values, we get;

x = 55 degrees

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The true size of a block with a nominal size of 6x4x16 may vary. The nominal size refers to the intended dimensions, but the actual size can differ due to manufacturing tolerances and other factors.

The nominal size of 6x4x16 indicates the intended dimensions of the block, with a length of 16 units, width of 6 units, and height of 4 units. However, the true size of the block can vary from the nominal size due to manufacturing tolerances and other factors.

Manufacturing processes may introduce slight variations in the actual dimensions of the block. These variations are commonly referred to as tolerances. Tolerances account for potential deviations from the intended dimensions and are necessary to accommodate practical considerations during manufacturing.

Therefore, without specific information on the tolerances or manufacturing specifications, it is not possible to determine the true size of a block with a nominal size of 6x4x16. The true size can vary within an acceptable range based on manufacturing tolerances and other factors.

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Answer:

On the left side,  she used commutative property

On the right side, she used distributive property

Step-by-step explanation:

a) |α⟩ is normalized if α = |α|² and α is a positive real number.

b) |α⟩ is an eigenvector of the lowering operator with eigenvalue λ = |α|.

c) |α⟩ is also an eigenvector of the transpose operator t with eigenvalue μ = |α|.

d) The eigenvalue of |α⟩ with respect to t is μ = |α|.

a) To show that |α⟩ is normalized, we need to compute its norm, which is given by ⟨α|α⟩. Let's calculate it:

⟨α|α⟩ = e(-|α|²) ∑n=0 [infinity] (n!/\(\alpha^n\) ∑m=0 [infinity] (m!/\(\alpha^m\)) ⟨n|m⟩

Since the states |n⟩ form an orthonormal basis, ⟨n|m⟩ = δ_n,m (Kronecker delta), which equals 1 when n = m and 0 otherwise. Therefore, the sum simplifies to:

⟨α|α⟩ = e(-|α|²) ∑n=0 [oo] (n!/αⁿ)

Using the identity eˣ = ∑k=0 [infinity] (\(x^k\) / k!), we can rewrite the sum as:

⟨α|α⟩ = e(-|α|²) \(e^\alpha\) = e(α - |α|²)

Now, to show that |α⟩ is normalized, we need to confirm that ⟨α|α⟩ = 1:

e(α - |α|²) = 1

This equation holds true when α - |α|² = 0, which implies that α = |α|². Since α is a complex number, we can write it as α = |α|e(iθ). Substituting this into the equation, we get:

|α|e(iθ) = |α|²

Dividing both sides by |α|, we obtain:

e(iθ) = |α|

This equation is satisfied when θ = 0, which means α is a positive real number. Therefore, |α⟩ is normalized.

b) To show that |α⟩ is an eigenvector of the lowering operator, we need to demonstrate that a|α⟩ = λ|α⟩, where a is the lowering operator. The lowering operator is defined as a = ∑n=0 [oo] √(n+1) |n⟩⟨n+1|.

Let's compute a|α⟩:

a|α⟩ = ∑n=0 [oo] √(n+1) |n⟩⟨n+1| (\(e^{-1/2}\)|α|²/2 ∑m=0 [infinity] (m!/α) |m⟩)

We can interchange the order of the sums and use the property of the Kronecker delta to simplify the expression:

a|α⟩ = ∑n=0 [oo] √(n+1) (e(-1/2)|α|²/2 (n+1)!/αⁿ⁺¹) |n⟩

Next, we can factor out the common terms:

a|α⟩ = (\(e^{-1/2}\)|α|²/2) ∑n=0 [oo] √(n+1) (n+1)!/αⁿ⁺¹ |n⟩

Now, notice that the term in the sum is precisely the coefficient of αⁿ in the series expansion of eᵃ. Therefore, we can rewrite the expression as:

a|α⟩ = (\(e^{-1/2}\)|α|²/2) eᵃ |α⟩

Since |α⟩ is defined as \(e^{-1/2}\)|α|²/2 ∑n=0 [oo] (n!/αⁿ) |n⟩, we can simplify further:

a|α⟩ = |α| |α⟩

Therefore, we have shown that |α⟩ is an eigenvector of the lowering operator with eigenvalue λ = |α|.

c) To show that |α⟩ is an eigenvector of the t operator, we need to demonstrate that t |α⟩ = μ |α⟩, where t is the transpose operator.

The transpose operator acts on the ket vectors by taking the complex conjugate of their components. Therefore, we have:

t |α⟩ = (t \(e^{-1/2}\)|α|²/2) ∑n=0 [oo] (n!/αⁿ) (t |n⟩)

Since the transpose of |n⟩ is its bra vector, we can write:

t |α⟩ = (t \(e^{-1/2}\)|α|²/2) ∑n=0 [oo] (n!/αⁿ) ⟨n|

Now, using the definition of the transpose of a complex number, we have:

t |α⟩ = (\(e^{-1/2}\))|α|²/2) ∑n=0 [oo] (n!/αⁿ) ⟨n|

Finally, notice that the expression inside the sum is the same as the coefficient of αⁿ in the series expansion of eᵃ. Therefore, we can simplify further:

t |α⟩ = (\(e^{-1/2}\)|α|²/2) eᵃ ∑n=0 [oo] (n!/αⁿ) ⟨n|

Since |α⟩ is defined as \(e^{-1/2}\)|α|²/2 ∑n=0 [oo] (n!/αⁿ) |n⟩, we can rewrite the expression as:

t |α⟩ = |α| |α⟩

Therefore, |α⟩ is an eigenvector of the t operator with eigenvalue μ = |α|.

d) The eigenvalue of |α⟩ with respect to the t operator is μ = |α|.

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Answer:

That would be the 3rd explanation, the plane has 4 points.

Step-by-step explanation:

Answer: I think that the answer is C

Step-by-step explanation:

Answer:

Step-by-step explanation:

The ages of Raju and Ravi are in the ratio 3:4 .Four years from now the ratio of their ages will be 4:5 . Find their present ages.

Ratio of ages at present = 3:4

Age of Raju = 3x

Age of Ravi = 4x

Age after four years:

Raju's age  = 3x + 4

Ravi's age = 4x + 4

Ratio of ages after four year = 4 : 5

3x +4 : 4x + 4 = 4 : 5

(4x + 4)*4 = (3x + 4)*5

16x + 16 = 15x + 20  

Subtract 16 from both sides

16x  = 15x + 20 - 16

16x = 15x + 4

Subtract 15x from both sides

16x - 15x = 4

 x = 4

Age of Raju = 3x = 3*4 = 12 years

Age of Ravi = 4x = 4*4 = 16 years

Answer:

It would be D ^^

Step-by-step explanation:

I learned this 2 years ago lol <3

Answer:

if you mean 8 divided by 5 then use long division which will result in 1 with a remainder or 3 or 1.6

Answer:

8/5=1.6

Step-by-step explanation:

There's no step by step for explaining this answer. Or nothing that I can think of

Answer:

1. List (in order) the five phases a single 2 solar mass will go through in its life.

2. List (in order) the five phases a single 25 solar mass will go through in its life.

3. List (in order) the five phases a single 60 solar mass will go through in its life.

Phase options (can be used more than once, some may not be used at all):

Type II Supernova

Protostar

White Dwarf

Giant Phase

Main sequence

Neutron Star

Brown Dwarf

Black Hole

Type 1a Supernova

Planetary Nebula

Step-by-step explanation:

Answer:

64.4 miles per hour

Step-by-step explanation:

divide the amount of miles by the amount of hours to get miles per hour

Answer:

61 c

Step-by-step explanation:

Circumference= 2πr = πd=3.14d

1*10 c+ 2*25 c+ 1*1 c = 61 c