Calculate (x), (x2), (p), (P2), Ox, and Op, for the nth stationary state of the infinite square well. Check that the uncertainty principle is satisfied. Which state comes closest to the uncertainty limit?

(a) The sum of the interior angles of the nonagon is 1260°.

(b) The sum of the interior angles of the dodecagon is 1800°.

(c) The sum of the interior angles of the 23-gon is 3780°.

What is a convex polygon?

A convex polygon is a closed figure with all of its interior angles less than 180° and all of its vertices pointing outward. The term convex refers to a shape with a curve or a projecting surface. To put it another way, all of the lines across the outline are straight and point outwards.

The formula for the sum of the interior angle is (n -2)180°.

The number of sides of the nonagon is 9.

Putting n = 9 in (n -2)180°, to find the sum of interior angle of nonagon:

The sum of the interior angle is (9 -2)180° = 1260°.

The number of sides of dodecagon is 12.

Putting n = 12 in (n -2)180°, to find the sum of interior angle of dodecagon:

The sum of the interior angle is (12 -2)180° = 1800°

Putting n = 23 in (n -2)180°, to find the sum of interior angle of 23-gon:

The sum of the interior angle is (23 -2)180° = 3780°.

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The graph of the parametric equations x = cos(2t) and y = sin(2t) represents a curve known as a lemniscate and the rectangular-coordinate equation for the curve represented by the given parametric equations is \(y^2 + x^2 = 1/2.\)

The parametric equations x = cos(2t) and y = sin(2t) represent a curve. To sketch the curve, we can plot points by substituting various values of t and observe the resulting shape. As t increases, the curve moves counterclockwise around the origin.

To eliminate the parameter, we can use the Pythagorean identity \(sin^2\)(θ) + \(cos^2\)(θ) = 1. In this case, since x = cos(2t) and y = sin(2t), we can rewrite the identity as \(y^2 + x^2 = 1.\)

By substituting the expressions for x and y from the parametric equations, we get \((sin(2t))^2 + (cos(2t))^2\) = 1. Simplifying, we have \(sin^2(2t) + cos^2(2t) = 1.\)

Using the double-angle identities sin(2θ) = 2sin(θ)cos(θ) and cos(2θ) = \(cos^2\)(θ) - \(sin^2\)(θ), we can rewrite the equation as \(2sin^2(2t) + 2cos^2(2t)\)= 1.

Further simplifying, we obtain\(sin^2(2t) + cos^2(2t) = 1/2.\)

Hence, the rectangular-coordinate equation for the curve represented by the given parametric equations is \(y^2 + x^2 = 1/2\).

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The complete question is : A pair of parametric equations is given. (a) Sketch the curve represented by the parametric equations. Use arrows to indicate the direction of the curve as t increases. (b) Find a rectangular-coordinate equation for the curve by eliminating the parameter. x = cos 2t, y = sin 2t

Answer: P(X=28) ≈ C(100, 28) * (1/4)^28 * (3/4)^72 ≈ 0.0368 (rounded to 4 decimal places)

Step-by-step explanation:

Using the binomial probability formula:

P(X=k) = C(n, k) * p^k * (1-p)^(n-k)

Where:

n = 100 (number of trials)

k = 28 (number of successes)

p = 1/4 (probability of success for each trial, since there are 4 sides)

C(n, k) = n! / (k! * (n-k)!)

Plugging the values:

P(X=28) ≈ C(100, 28) * (1/4)^28 * (3/4)^72 ≈ 0.0368 (rounded to 4 decimal places)

Answer: 16a^2−24a−7

Step-by-step explanation:

25% discount means we pay 100% - 25% = 75% of the original price.

Relationship between sale price and regular price?

SalePrice = (1 - 25/100) × RegularPrice

Sale price is 75% of regular price.

Using the segment addition theorem, the solutions are:

5. x = 17

6. x = 7

7. x = 14

BC = 27

CD = 61

BD = 88

8. AB = 26

9. LJ = 46

10. x = 3

11. FG = 15

12. QS = 34

13. BC = 26

14. EG = 19

15. QS = 68

The segment addition theorem would be used to solve the problems as shown below:

5. UW = UV + VW [segment addition theorem]

Substitute

6x - 35 = 19 + 4x - 20

6x - 4x = 35 + 19 - 20

2x = 34

x = 17

6. HJ = HI + IJ [segment addition theorem]

Substitute

7x - 27 = 3x - 5 + x - 1

7x - 3x - x = 27 - 5 - 1

3x = 21

x = 7

7. BD = BC + CD [segment addition theorem]

Substitute

7x - 10 = 4x - 29 + 5x - 9

7x - 4x - 5x = 10 - 29 - 9

-2x = -28

x = 14

BC = 4x - 29 = 4(14) - 29 = 27

CD = 5x - 9 = 5(14) - 9 = 61

BD = 7x - 10 = 7(14) - 10 = 88

8. BC = BD

Substitute

2x + 1 = 5x - 26

2x - 5x = -1 - 26

-3x = -27

x = 9

AB = 43 - BC

AB = 43 - 2x + 1 = 43 - 2(9) + 1 = 26

9. 7x - 10 = 9x - 11 - (x + 3)

7x - 10 = 9x - 11 - x - 3

7x - 9x + x = 10 - 11 - 3

-x = -4

x = 4

LJ = 28 + 7x - 10 = 28 + 7(4) - 10

LJ = 46

10. 8x + 11 = 12x - 1

8x - 12x = -11 - 1

-4x = -12

x = 3

11. 11x - 7 = 3x + 9

11x - 3x = 7 + 9

8x = 16

x = 2

FG = 11x - 7 = 11(2) - 7

FG = 15

12. 5x - 3 = 21 - x

5x + x = 21 + 3

6x = 24

x = 4

QS = 2(5x - 3) = 10x - 6 = 10(4) - 6

QS = 34

13. 8x - 20 = 2(3x - 1)

8x - 20 = 6x - 2

8x - 6x = 20 - 2

2x = 18

x = 9

BC = AB = 3x - 1 = 3(9) - 1

BC = 26

14. 5x - 1 = 7x - 13

5x - 7x = 1 - 13

-2x = -12

x = 6

EG = 6x - 4 - 13 = 6(6) - 4 - 13

EG = 19

15. RT - ST = RS

Substitute

8x - 43 - (4x - 1) = 2x - 4

8x - 43 - 4x + 1 = 2x - 4

4x - 42 = 2x - 4

4x - 2x = 42 - 4

2x = 38

x = 19

QS = 2(RS)

QS = 2(2x - 4) = 4x - 8 = 4(19) - 8

QS = 68

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The p-value is a measure of the evidence against the null hypothesis (H0)

The correct answer is (a) greater the evidence against H0.

It represents the probability of obtaining a test statistic as extreme as, or more extreme than, the one observed, assuming that the null hypothesis is true.

The smaller the p-value, the less likely it is that the observed result is due to chance alone, and the stronger the evidence against the null hypothesis. This means that if the p-value is very small (e.g., less than 0.05), we have strong evidence to reject the null hypothesis in favor of the alternative hypothesis.

In contrast, a large p-value indicates weak evidence against the null hypothesis, and we may not have enough evidence to reject H0. Therefore, the smaller the p-value, the greater the evidence against H0.

Option (b) is incorrect because the chance of committing a Type I error (rejecting the null hypothesis when it is actually true) is related to the level of significance (alpha) and not the p-value. Option (c) is also incorrect because the chance of committing a Type II error (failing to reject the null hypothesis when it is actually false) is related to the power of the test and not the p-value. Option (d) is incorrect because a smaller p-value actually makes it more likely that one will reject H0, assuming that the level of significance is held constant.

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Answer:

1/5 of 1,212

Step-by-step explanation:

Note that 25% = 1/4 and 30% = 3/10.

The least value is achieved when we take the smallest fraction, which is 1/5.

Answer:

1/5 of 1212 is the smallest value

Step-by-step explanation:

if we convert 25% to a fraction we have 1/4

if we convert 30% to a fraction we have 3/10

now we convert each of the four fractions into equivalent fractions using lowest common denominator of 60

1/3 = 20/60

1/5 = 12/60

1/4 = 15/60

3/10 = 18/60

the smallest fraction is 12/60, or 1/5

therefore 1/5 of 1212 is the smallest value

Answer:

ok i would probably say that you have to turn the mixed numbers to improper fractions. So 17 1/5 would be 86/5 and 3 4/5 would be 19/5. then multiply by the reciprocal. 86/5 x 5/19 and you should get the answer 430/95

Answer:

what the other guy said you can make him brainliest now

Step-by-step explanation:

Answer: -1/34

Step-by-step explanation:

Answer:

f(134) = 9

Step-by-step explanation:

substitute x = 134 into f(x) and evaluate

f(x) = 10 - \(\frac{x}{134}\) , then

f(134) = 10 - \(\frac{134}{134}\) = 10 - 1 = 9

Answer:

Step-by-step explanation:

correct

\(\frac{\sqrt{2} }{3}\)

is a fraction and also irrational number.

Answer:

(4,4)

Step-by-step explanation:

We can solve this system of equations using the elimination method.

In order to use the elimination method there must be two variables with the same coefficient. Note that the coefficients don't have to have the same sign ( eg. 6 and -6 would work ). If there are two similar variables with similar coefficients then you can add or subtract, depending on the signs of the coefficients, the two equations "eliminating" the variable. There would then be one variable left over in which you can solve for.

For this case, both equations have 7x, one negative 7 and one positive 7. When the signs are different you add the two equations. So our first step is to add the two equations

7x - 4y = -44

+ (-7x -3y = 16 )

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

Remove parenthesis

7x -4y = -44

-7x -3y = +16

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

0x - 7y = -28

We are left with -7y = -28.

Because there is now only one variable, we can solve for it.

-7y = -28

divide both sides by -7

y = 4

Now we want to find the value of x. We can do this by plugging in the value of y into one of the equations and then solving for x. Note that we can plug in 4 for y into either equation and solve for x and we would get the same answer.

7x - 3y = 16

y = 4

7x - 3(4) = 16

multiply 4 and -3

7x - 12 = 16

add 12 to both sides

7x = 28

divide both sides by 7

x = 4

So x = 4 and y = 4 so the solution to the system of equations is (4,4)

Answer:

if you download PHOTOMATH on your phone. all you have to do is take a picture of it. and it gives you the answer and the work. trust me

Answer:

c.) f(x) = (x +2)² –4

Step-by-step explanation:

We can test values in the equation selected from points on the graph. (-4,0)x intercept. (-2,-4)vertex

0 = (-4 +2)² -4

0 = (-2)² -4

0 = 4 - 4 true

-4 = (-2+2)² -4

-4 = 0² -4. True again.

answer x is a good choice.

Also find the axis of symmetry by calculating –b/2a

The difference between the two confidence intervals is given as follows :

Width of confidence interval is directly proportional to confidence level.

This is because,  width is directly proportional to critical value (z or t), which is directly proportional to confidence level.

Now, width is inversely proportional to square root of sample size.

But if sample size is same for both levels of confidence. Then, sample size would have same effect.

Hence, the appropriate answer here is,

The 95 percent confidence interval will not be as wide as the 99 percent confidence interval.

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Main Answer: A normalized binary number typically consists of three parts:

Supporting Question and Answer:

What is a sign bit in a normalized binary number?

The sign bit is the leftmost bit of a normalized binary number and indicates whether the number is positive or negative .A value of 0 indicates a positive number, while a value of 1 indicates a negative number.

Body of the Solution: A normalized binary number typically consists of  the following three parts:

Final Answer: A normalized binary number typically consists of three parts:

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Answer:

To find Anna's rate of pay, we need to divide her earnings by the number of hours worked.

Earnings for 13 hours = $235.30

Earnings for 19 hours = $343.90

Earnings for 23 hours = $416.30

To find the rate of pay, we can choose any set of earnings and hours and divide them. Let's choose the first set:

Rate of pay = Earnings / Hours worked

Rate of pay = $235.30 / 13 hours

Using a calculator, we get:

Rate of pay = $18.10/hour

Therefore, Anna's rate of pay is $18.10 per hour.

Let x be the number

\(\small\bold\red{→}\small\bold{(\frac{1}{2} )x + 5 = 11}\)

\(\small\bold\red{→}\small\bold{(\frac{1}{2})x + 5 - 5 = 11 - 5}\)

\(\small\bold\red{→}\small\bold{(\frac{1}{2})x = 6}\)

\(\small\bold\red{→}\small\bold{2 × (\frac{1}{2})x = 6 × 2 }\)

\(\small\bold\red{→}\small\bold{x = 12}\)

Hello.

First, "half a number" means we divide that number by 2.

Let's say the number is z.

Divide z by 2:

\(\displaystyle\frac{z}{2}\)

Add 5 to it:

\(\displaystyle\frac{z}{2} +5\)

Now, this expression equals 11:

\(\displaystyle\frac{z}{2} +5=11\)

Subtract 5 from both sides:

\(\displaystyle\frac{z}{2} =11-5\)

\(\displaystyle\frac{z}{2} =6\)

Now, in order to get rid of the fraction, we should multiply the entire equation by 2:

\(\displaystyle\frac{z}{2} *2=6*2\)

\(z=6*2\)

\(\Large\boxed{z=12}\)

I hope it helps.

Have an outstanding day. :)

\(\boxed{imperturbability}\)

Answer:

69.4 inches

Step-by-step explanation:

62 + 72 + 73 + 69 + 71 = 347

347 / 5 = 69.4

Answer: a=4b/5

Step-by-step explanation:

To solve for a, we want to use algebraic properties to isolate a.

3a+2b=6b-2a               [add both sides by 2a]

5a+2b=6b                     [subtract both sides by 2b]

5a=4b                           [divide both sides by 5]

a=4b/5

Now, we have found that a=4b/5.

The abscissa on the curve x^2 = 2y which is nearest to the point (4,1) is x = √(3/8).

Given the equation x^2 = 2y.

The coordinates of the point are (4,1).We have to find the abscissa on the curve that is nearest to this point.So, let's solve this question:

To find the abscissa on the curve x2 = 2y which is nearest to the point (4,1), we need to apply the distance formula.In terms of x, the formula for the distance between a point on the curve and (4,1) can be written as:√[(x - 4)^2 + (y - 1)^2]But since x^2 = 2y, we can substitute 2x^2 for y:√[(x - 4)^2 + (2x^2 - 1)^2].

Now we need to find the value of x that will minimize this expression.

We can do this by finding the critical point of the function: f(x) = √[(x - 4)^2 + (2x^2 - 1)^2]To do this, we take the derivative of f(x) and set it equal to zero: f '(x) = (x - 4) / √[(x - 4)^2 + (2x^2 - 1)^2] + 4x(2x^2 - 1) / √[(x - 4)^2 + (2x^2 - 1)^2] = 0.

Now we can solve for x by simplifying this equation: (x - 4) + 4x(2x^2 - 1) = 0x - 4 + 8x^3 - 4x = 0x (8x^2 - 3) = 4x = √(3/8)The abscissa on the curve x^2 = 2y that is nearest to the point (4,1) is x = √(3/8).T

he main answer is that the abscissa on the curve x^2 = 2y which is nearest to the point (4,1) is x = √(3/8).

The abscissa on the curve x^2 = 2y which is nearest to the point (4,1) is x = √(3/8).

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Answer:

\(\large \boxed{{r=\frac{1}{9}}}\)

Step-by-step explanation:

x and y are proportional.

\(y=rx\)

Let x = 45 and y = 5.

\(5=r(45)\)

Solve for r (constant of proportionality).

Divide both sides by 45.

\(\displaystyle \frac{5}{45} =r\)

Simplify and switch sides.

\(\displaystyle r=\frac{1}{9}\)

Answer:

18m

Step-by-step explanation:

Perimeter = 2L + 2W

Perimeter = 2(5) + 2(4)

= 10 + 8

= 18 m

Answer:

18 meters

Step-by-step explanation:

5+5=10

4+4=8

10+8=18

1. There are 3 decision nodes in the tree.
2. The best course of action for the hospital is option B - seek approval first, and proceed with Plan B if approved, and Plan A if denied.
3. The answer is E) B & C only. The decision tree shows conditional probabilities, but TreePlan is not maximizing the EMV. The probability of approval for Plan B does not depend on when approval is sought.
4. The EMV for choosing Plan B from the start is -137.5.

1. Decision nodes are points in a decision tree where a decision must be made. To determine the number of decision nodes in the tree, count the number of places where a choice must be made between different options.

2. To determine the best course of action, you would analyze the decision tree by considering the expected monetary value (EMV) of each path. Choose the path with the highest EMV.

3. Examine your decision tree and determine which conclusions apply. Some things to consider are:
  A) Conditional probabilities: Are there probabilities given based on the outcomes of previous decisions?
  B) "Rolling back" the decision tree: Is the tree being analyzed by working backward from the final outcomes to determine the best course of action?
  C) Probability of approval: Does the chance of getting approval for Plan B change based on when approval is sought?

4. To find the EMV for choosing Plan B from the start, calculate the probability-weighted average of the possible monetary outcomes for that path. Multiply the probability of each outcome by its monetary value, then sum those products.

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The required white effective interest rate is 0.71% more than his nominal interest rate.

Compound interest is the interest on deposits computed on both the initial principal and the interest earned over time.

Here,

White Effective interest R,
\(R=(1+i/m)^m)-1\\R=(1+0.1362/4)^4)-1\\R =0.1433*100=\)
R = 14.33 percent

So

Difference in interest = 14.33%-13.62%
                                    =0.71%

Thus, the required white effective interest rate is 0.71% more than his nominal interest rate.

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Option A: Rotate pentagon A 90° clockwise about the origin, translate it 6 units down, and reflect it over the y-axis. (Does not result in congruent pentagons)

Option B: Translate pentagon A 5 units to the right, reflect it over the x-axis, translate it 8 units to the left. (Does not result in congruent pentagons)

Option C: Reflect pentagon A over the x-axis, translate it 8 units to the right, and translate it 2 units up. (Does not result in congruent pentagons)

Option D: Rotate pentagon A 90° clockwise about the origin, reflect it over the x-axis, and reflect it over the y-axis. (Results in congruent pentagons)

In summary, only option D, which involves rotating pentagon A clockwise, reflecting it over the x-axis, and reflecting it over the y-axis, leads to congruent pentagons. The other options do not preserve the necessary properties for congruence.

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Answer:

x=10006/3

Step-by-step explanation:

I solved for x... I also plugged this into a calculator

Answer:

The correct sequence of licenses that allow you to receive a full provisional license is C: limited provisional license, full provisional license, limited learner permit.

Answer:

The answer is 131 people

Step-by-step explanation:

I'm not too sure about equations bc its been a min since I've done them but maybeeeee it's 26x - (1,575) = 5,000 something like that LOL

All I know is that you have to subtract 1575 from 5,000 and then you get 3,435 dollars left and you divide that by 26 people and you get 131.731 but of course you can't have a half of person so it stays at 131.

Hopefully that helped lol