Can you simply these fractions?

If E is not closed or is not bounded, then there may not be some positive number c so that f(e) > c for all e ∈ E .

Suppose that E is not closed, then there exists a limit point a of E such that a ∉ E. For this limit point a, we can choose a sequence of points in E that converges to a. Since f(x) > ε for all x ∈ E ∩ (e − ε, e + ε), we have that f(x) > ε for all x in the sequence that converges to a.

However, since a is not in E, we cannot find an ε > 0 such that f(x) > ε for all x ∈ E ∩ (a − ε, a + ε), so we cannot find a positive number c such that f(e) > c for all e ∈ E.

Now suppose that E is not bounded. Then for every positive number M, there exists a point e ∈ E such that |e| > M. We can choose ε = |e|/2, and then we have that f(x) > ε for all x ∈ E ∩ (e − ε, e + ε). However, since E is not bounded, we can always choose M large enough so that ε = |e|/2 > M, and then we cannot find a positive number c such that f(e) > c for all e ∈ E.

Therefore, if E is not closed or is not bounded, then there may not be some positive number c so that f(e) > c for all e ∈ E.

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Expected Value of X: E[X] = 1/2. Variance of X: Var[X] = 1/12. Since X is uniformly distributed between 0 and 1, the expected value (E[X]) can be calculated as the average of the endpoints of the distribution:

To find the expected value and variance of X and Y, we will compute each one separately.

Expected Value of X:

E[X] = (0 + 1) / 2 = 1/2

Variance of X:

The variance (Var[X]) of a uniform distribution is given by the formula:

Var[X] =\((b - a)^2 / 12\)

In this case, since X is uniformly distributed between 0 and 1, the variance is:

Var[X] = \((1 - 0)^2 /\)12 = 1/12

Expected Value of Y:

To calculate the expected value of Y, we consider two cases:

Case 1: If a < 1/2

In this case, Y takes on the value of a, since the minimum of X and a will always be a:

E[Y] = E[min(X, a)] = E[a] = a

Case 2: If a ≥ 1/2

In this case, Y takes on the value of X, since the minimum of X and a will always be X:

E[Y] = E[min(X, a)] = E[X] = 1/2

Variance of Y:

To calculate the variance of Y, we also consider two cases:

Case 1: If a < 1/2

In this case, Y takes on the value of a, which means it has zero variance:

Var[Y] = Var[min(X, a)] = Var[a] = 0

Case 2: If a ≥ 1/2

In this case, Y takes on the value of X, and its variance is the same as the variance of X:

Var[Y] = Var[min(X, a)] = Var[X] = 1/12

Assuming risk-neutrality, the maximum amount an individual would be willing to pay for this random variable is its expected value. Therefore, the maximum amount an individual would be willing to pay for Y is:

Maximum amount = E[Y] = a, if a < 1/2

Maximum amount = E[Y] = 1/2, if a ≥ 1/2

Expected Value of X: E[X] = 1/2

Variance of X: Var[X] = 1/12

Expected Value of Y:

- If a < 1/2, E[Y] = a

- If a ≥ 1/2, E[Y] = 1/2

Variance of Y:

- If a < 1/2, Var[Y] = 0

- If a ≥ 1/2, Var[Y] = 1/12

Maximum amount (assuming risk-neutrality):

- If a < 1/2, Maximum amount = E[Y] = a

- If a ≥ 1/2, Maximum amount = E[Y] = 1/2

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Let X be a random variable uniformly distributed between 0 and 1 . Let also Y=min(X,a) where a is a real number such that 0<a<1. Find the expected value and variance of X and Y. Assuming that you are risk-neutral.

Answer:

The change was 32.8 degrees.

Step-by-step explanation:

Quite a lot. Very unusual.

-12.5 to 20.3

You need to add 12.5 just to get to 0. Then you add 20.3 to get the high temperature, So the answer is 12.5 + 20.3 = 32.8. That in centigrade would be a huge move. In Fahrenheit not so much but still pretty big.

Therefore , the solution to the given problem of function comes out to be f(5) = -8.

Mathematics encompasses variables and their changes, equations and related structures, form locations and forms themselves. The relationship between a number of inputs, each of which has an associated output, is referred to as a "function." An association between inputs and outputs that yields a single, distinct outcome is known as a function. Each function has a realm and with a requested request, or scope, allocated to it. The letter f is frequently used to represent , equation functions (x). An x is entered. The four primary kinds of activities that are offered are on activities, each functions, numerous features, within characteristics, and on functions.

Here,

Given :

x -4 -1 3 5

=> f(x) -2 5 4 -8

The value of f(x) at x = 5 is f(5).

=> f(5) = -8

Therefore , the solution to the given problem of function comes out to be f(5) = -8.

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Answer:

c) 30

Step-by-step explanation:

since the lines are parallel, 75° = 2x + 15°

this is because when two parallels lines are intersected by the same line, all respective angles are equal. Also, opposite angles on a line are equal too.

So now that u have 75 = 2x + 15, just solve for x by simplifying:

75 = 2x + 15

60 = 2x

30 = x

so the answer is c) 30

hope this helps!

The angle measures for this problem are given as follows:

Then the four letter code is given as follows:

FBCA.

For angle A, first we have that (2x + 35)º and (8x - 40)º are vertical angles, hence the value of x is obtained as follows:

8x - 49 = 2x + 35

6x = 84

x = 84/6.

x = 14

This means that the measure of angle A is obtained as follows:

m<A = 2(14) + 35 = 28 + 35 = 63º.

For angle B, the two angles are supplementary, hence the value of x is given as follows:

10x - 18 + 15x + 48 = 180

25x = 150

x = 150/25

x = 6.

Then the measure of angle B is given as follows:

m < B = 15x + 48 = 15(6) + 48 = 138º.

For angle C, the alternate interior angles are congruent, hence the value of x is obtained as follows:

7x + 5 = 12x - 75

5x = 80

x = 16.

Then the measure of angle C is obtained as follows:

m<C = 7x + 5 = 7(16) + 5 =  117º.

For item 4, the angles form a linear pair, meaning that they are supplementary and the value of x is obtained as follows:

27x - 21 + 10x + 16 = 180

37x = 185

x = 185/37

x = 5.

Then angle D is calculated as follows:

m < D = 27x - 21 = 27(5) - 21 = 114º.

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After using mental math to find how much he spent in all, we have come to find that total cost of notebook, pencils and eraser is $7.79

A set of abilities known as mental math enable people to perform calculations "in their heads" without the aid of paper and pencil or a calculator. Recalling math facts, such as 8 x 5 = 40, is one of these abilities. Rounding numbers and estimating calculations are additional abilities.

It is the process of performing mathematical calculations and problem-solving without the need for a lengthy physical process or a formal written process. Children will learn to perform mental addition, subtraction, and other calculations that call for the use of all four operations as well as particular methods.

Students will be able to solve a variety of problems without having to memorize equation solutions, pull out a calculator, or use a pen and paper for their calculations thanks to these mental techniques.

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Answer: $7.79

Step-by-step explanation:

Answer:

15mm

Step-by-step explanation:

Here, Pythagoras Theorem will be used, which states that,

(BASE)² + (HEIGHT)² = (HYPOTENUSE)²

Putting the values accordingly,

(17)² = (8)² + (x)²

(x)² = (17)² - (8)²

(x)² = 225

x = 15 mm

Hope it helps :)

Answer:

15mm

Step-by-step explanation:

Hypotenuse of a triangle^2 = a^2 + b^2

=> 17^2 mm = 8^2mm + x^2mm

=> 289mm = 64mm + x^2mm

=> 289mm - 64mm = x^2mm

=> 225mm = x^2mm

=> √225mm = x mm

=> 15mm = x

Hope you understood!!

The exact behavior and consequences depend on the Operations system's process management mechanisms and the actions taken by process z or the system's process manager.

When process y dies, the Operations system handles the termination of the process and performs certain actions related to its termination. Here are the likely outcomes when process y, with process x as its child and process z as its parent, dies:

1. Process y's termination: When process y dies, the operating system marks it as terminated and frees up any system resources that were allocated to it. This includes releasing memory, closing file descriptors, and removing its entry from the process table.

2. Parent-child relationship: Since process x is the child of process y, the operating system updates the parent-child relationship. Typically, when a parent process dies, the child process is reassigned to another process called the init process or is terminated if no other process adopts it. The exact behavior depends on the operating system's process management policies.

3. Process z's status: Process z, being the parent of process y, may receive a notification or a signal indicating the termination of its child process. The operating system usually sends a SIGCHLD signal to the parent process, allowing it to handle the termination of its child process appropriately. Process z can choose to ignore the signal or perform actions such as cleaning up resources or spawning a new child process to replace the terminated one.

4. Orphaned process: If process z does not handle the termination of process y appropriately or if process z itself terminates before process y, process x becomes an orphaned process. Orphaned processes are typically adopted by the init process or the system's process manager, ensuring that they are handled and terminated properly.

In summary, when process y dies, the operating system marks it as terminated, updates the parent-child relationship, and may notify process z. The exact behavior and consequences depend on the operating system's process management mechanisms and the actions taken by process z or the system's process manager.

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The correct answer is option A. The sample standard deviation can be used as an estimate of the population standard deviation is the statement that explains the use of the sample standard deviation in tests of the mean when the population standard deviation is not known.

By taking the square root of the variance, the sample standard deviation—a measurement of the data's propagation derived. A sample, which is a smaller portion of the population, is used to calculate it.

The sample standard deviation can be used as an estimate of the population standard deviation because the population standard deviation is typically unknown.

Following that, confidence intervals and other tests of the mean can be computed using this.

The sample standard deviation is another tool used to assess the data's variability because it shows how dispersed the data exists.

Complete Question:

Choose the statement that best explains the use of the sample standard deviation in tests of the mean when the population standard deviation is not known:

A. The sample standard deviation can be used as an estimate of the population standard deviation.

B. The sample standard deviation can be used to measure the spread of the data.

C. The sample standard deviation can be used to calculate the confidence interval.

D. The sample standard deviation can be used to measure the variability of the data.

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Answer:

y=3x+1

Step-by-step explanation:

First, you need to find the slope. With the two points you can find the slope by subtracting one point from the other. This gives you a slope of 3. You could plot this on a graph to get the +1, or you can just look at these two points. (0,1) just gives it to you because this point is on the line.

Answer:

No answer.  The question is not correct.  2x-6 cannot be equal to 2x+4

Step-by-step explanation:

2(x-3) = 2x+4

2x-6 = 2x+4

This can't be true.  2x-6 cannot be equal to 2x+4:

Subtract 2x from both sides and we are left with -6 = 4:  FALSE

Answer:

Step-by-step explanation:

Taking the LHS and distributing

Equating to the RHS

On inputting any value for x, this equation will not be correct.

Hence, it has no solution.

Answer:

\(\left( 3-2i\right) \left( 3+2i\right) =13\)

Step-by-step explanation:

Note :

i² = −1

(a - b)(a + b) = a² - b²

________________

\(\left( 3-2i\right) \left( 3+2i\right) =3^{2} - (2i)^2\)

                         \(=9 - (2)^2\times i^2\)

                         \(=9 - 4(i)^2\)

                         \(=9-4\times(-1)\)

                         \(=9+4\)

                         \(=13\)

Answer: (3 – 2i)(3 2i)=13

Step-by-step explanation:

edge2020

Answer: w=8/3

Step-by-step explanation:

Step 1: Simplify both sides of the equation.

20 /3 =2(w+ ( 2 /3 )

20 /3 =(2)(w)+(2)( 2 /3 )(Distribute)

20 /3 =2w+ 4 /3

Step 2: Flip the equation.

2w+ 4 /3 = 20 /3

Subtract 4/3 from each side: 2w+ 4 /3 − 4 /3 = 20 /3 − 4 /3

Divide both sides by 2: 2w/ 2 =16  3 /2

Answer w=8/3

Answer:

w=8/3

Step-by-step explanation:

Two samples can have the same mean but different standard deviations due to the spread of data around the mean. Standard deviation is a measure of how much the data values differ from the mean. The greater the deviation of the data points from the mean, the greater the standard deviation.

Two samples can have the same mean but different standard deviations because standard deviation is a measure of the spread of data around the mean. If the data values are tightly clustered around the mean, the standard deviation will be small. If the data values are spread out around the mean, the standard deviation will be large. Therefore, two samples can have the same mean but different standard deviations because the spread of data around the mean can be different for each sample.

Two samples can have the same mean but different standard deviations because the spread of data around the mean can be different for each sample. For example, consider two samples of test scores. Sample A has a mean score of 80 and a standard deviation of 5. Sample B has a mean score of 80 and a standard deviation of 10. The scores in Sample B have more variability than the scores in Sample A.In a bar graph, the means of the two samples can be represented by two bars with the same height. The standard deviations of the two samples can be represented by error bars on each bar. The error bars show the variability of the data in each sample. The length of the error bars for Sample B would be longer than the length of the error bars for Sample A.

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The missing numbers can be filled up as follows:

1. 200

2. 20%

3. 225

4. 800

5. 2%

To fill up the table, note that percentage is obtained by dividing a base by rate. The rate will also be changed to the decimal format before the computation is done. On this note:

P = B * R

1. 20 = x * 0.1

20 = 0.1x

Divide both sides by 0.1

x = 200

2. 90 = 450 * R

R = 90/450

R = 0.2 OR 20%

3. P = 900 * 0.25

P = 225

4. 280 = B * 0.35

B = 280/0.35

B = 800

5. 14 = 700 * R

R = 14/700

R = 0.02 OR 2%

So, with the given formula, we could generate the base, rate, and percentages of the numbers.

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The solution to the algebraic expression 3 × 5 + (9²/(27 × ¹/₃)) - (-10) using order of operations is; 34

The order of operations is mathematical operations is as follows: PEMDAS which denotes parentheses, exponents, multiplication, division, addition, then subtraction.

We want to solve the algebraic expression;

3 × 5 + (9²/(27 × ¹/₃)) - (-10)

Let us first solve the numerator to get;

15 + (81/(27 × ¹/₃)) - (-10)

Let us now solve the denominator to get;

15 + (81/9) + 10

= 15 + 9 + 10

= 34

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Answer:

The expression for c is;

Explanation:

Given the below expression;

We want to find the expression for c;

Firstly, let's divide both sides by h;

Then, we can now subtract b from both sides;

Therefore, the expression for c is;

Answer:

c. is the correct answer

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The set of negative integers is a commutative group under the operation of addition.

For given question,

We need to check whether the set of negative integers is a commutative group under the operation of addition.

We know that negative integers are whole numbers that have value less than zero.

We know that, for any positive integers a, b,

a + b = b + a                        .......................(1)

For any negative integers -a, -b

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

              = -(a + b)

              = -(b + a)                  ...............(From (1))

              = -b - a

              = (-b) + (-a)

As, (-a) + (-b) = (-b) + (-a) for any negative integers -a, -b, the set of negative integers is a commutative group under the operation of addition.

Therefore, the set of negative integers is a commutative group under the operation of addition.

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Answer:

(-9/2,3/2)

Step-by-step explanation:

x coordinate of mid point=(x1+x2)/2

y coordinate of mid point=(y1+y2)/2

Answer:

D

Step-by-step explanation:

By subtracting the second part of the equation, you are doing the same as adding a negative.

Answer:

y - 5 = 1/4 (x+1)

Step-by-step explanation:

y - 5 = 1/4 (x - (-1))

to simplify the problem you can change (x - (-1)) to (x+1) because subtracting a negative is the same as adding a positive

y - 5 = 1/4 (x+1)

and that is your final answer if you want to keep it in point slope formula

An individual's BMR decreases approximately 3 to 5 percent per decade on an average after the age of option C. 30.

Therefore, on an average individuals BMR is approximately decreases by round about 3 to 5 percent per decade after the age of option c. 30.

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Answer:

D

Step-by-step explanation:

Its on the same line so..

Answer:

D

Step-by-step explanation:

Answer:

The greatest common factor of 4 is 4

Step-by-step explanation:

1*4

2*2

4 is the biggest number that goes into 4

Answer:

Correct answer is option D. 96.4 yd.

Step-by-step explanation:

Please refer to the attached figure for labeling of the given diagram.

ABC is a triangle with the following labeling:

A is the hole, B is the Tee and C is the point where the ball is.

Sides are labeled as:

\(a =255\ yd\\c = 305\ yd\\\angle B =17^\circ\)

To find:

Side \(b = ?\)

Solution:

Here, we have one angle and two sides . Third side of the triangle is to be found opposite to the given angle.

We can use cosine formula here to find the value of the unknown side.

\(cos B = \dfrac{a^{2}+c^{2}-b^{2}}{2ac}\)

Putting all the values:

\(cos 17 = \dfrac{255^{2}+305^{2}-b^{2}}{2\times 255\times 305}\\\Rightarrow 0.956 = \dfrac{65025+93025-b^{2}}{155550}\\\Rightarrow 148753.2= 158050-b^{2}\\\Rightarrow b^{2}= 158050-148753.2\\\Rightarrow b^{2}= 9296.795\\\Rightarrow b= 96.42\ yd\)

So, the distance between the Ball and hole is 96.42 yd

Correct answer is option D. 96.4 yd.

Answer:

D.) 96.4 yd

Step-by-step explanation:

I got it correct on founders edtell

Answer:

Chelsea has $48, Essence has $144

Step-by-step explanation:

Step-by-step explanation:

that means we divide 2/3 by 4.

2/3 / 4 = 2/3 / 4/1 = 2/3 × 1/4 = 2/12 = 1/6

so each quarter of the remaining 2/3 pizza is actually 1/6 of the complete pizza.