Can someone explain this to me. am i supposed to input the x=4 into each X spot or what???

E[x] and ECYJ exists.

Given,

xi, Xn be random variables 2 given by far x I(,-) (*) {x Xn}

Consider Y = min(xi, Xn)Y = {xi if xi < Xn; Xn if xi > Xn}

Probability that Y = xiP(Y=xi) = P(xi < Xn) = (1/2) and P(Y=Xn) = P(xi>Xn) = (1/2)E[Xi] = µ and σ² Var(Xi) exist.

Because xi, Xn are iid from the same distribution, then E[Xn] = µ and σ² Var(Xn) exist.

We know that E[Y] = µ {E[Xi] = E[Xn]}We have, Y = xi or Y = Xn, soY² = Y

Therefore, E[Y²] = E[Y] = µSince we know that E[Y²] = P(Y=xi) xi² + P(Y=Xn)Xn²,

We have, µ = (1/2)xi² + (1/2)Xn²If we add xi and Xn, then Y ≤ xi and Y ≤ Xn, then Y ≤ min(xi, Xn)

So, xi + Xn ≥ 2Y

The left-hand side has mean 2µ,So, 2µ ≥ 2E[Y]µ ≥ E[Y]

The value of E[Y] is µSo, µ ≥ E[Y].

Hence, E[X] exist and E[X] = µ

Given, Y= min(xi, Xn)

So, E[Y] exists and E[Y] = µ / 2

We know that E[Y²] = P(Y=xi) xi² + P(Y=Xn)Xn²= (1/2)xi² + (1/2)Xn²

The variance of Y is Var(Y) = E[Y²] - [E[Y]]²= [(1/2)xi² + (1/2)Xn²] - (µ/2)²= (1/2)[xi² + Xn²] - (µ²/4)

Since xi, Xn are iid from the same distribution, Var(Xi) = Var(Xn) = σ²Var(Y) = (1/2)[2σ² - (µ²/2)]

As we know that E[Y] = µ/2, so ECYJ exists.

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Answer:

B

Step-by-step explanation:

i did the math but if its wrong please tell me

By calculating the distance we know that the PR measures 198.94 ft to the nearest foot.

Distance is the sum of an object's movements, regardless of direction.

The distance can be defined as the amount of space an object has covered, regardless of its starting or ending position.

Distance is a measurement of how far apart two things or points are, either numerically or occasionally qualitatively.

The distance can refer to a physical length in physics or to an estimate based on other factors in common usage.

So, the triangles PRE and POC appear to be comparable triangles in the diagram.

Let PR = x.

Utilizing the similarity theorem:

PR/RE = PR+RO/OC

x/135 = (x+140)/230

Now, cross multiply as follows:

230x = 135(x+ 140)

230x = 135x + 18,900

230x - 135x = 18,900

95x = 18900

x =18900/95

x = 198.94

Therefore, by calculating the distance we know that the PR measures 198.94 ft to the nearest foot.

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Correct question:

To indirectly measure the distance across a river, Nolan stands on one side of the river and uses sight lines to a landmark on the opposite bank. Nolan draws the diagram below to show the lengths and angles that he measured. Find PRPR, the distance across the river. Round your answer to the nearest foot.

Margaret is incorrect because the given information does not include enough details to determine if the quadrilateral WXYZ is a parallelogram.

To prove that a quadrilateral is a parallelogram, the four sides must be equal in length and the opposite angles must be congruent. The given information does not include any measurements or angles, so it is not possible to determine if the quadrilateral is a parallelogram.

No, 144 inches of tape is not enough to finish the job. The hazard sign has two identical parallelogram-shaped stripes, and each stripe will require more than 144 inches of tape to outline. The area of a parallelogram can be calculated using the formula A = bh, where b is the base and h is the height. In order to determine how much tape is needed to outline the stripes, the base and height of the parallelograms must be known.

There is not enough information to prove that a quadrilateral is a parallelogram, as all four sides must be equal in length and the opposite angles must be congruent. Additionally, 144 inches of tape is not enough to outline the hazard sign's two identical parallelogram-shaped stripes, as the base and height of the parallelograms must be known in order to calculate the area.

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Answer:

13 is the answer

Step-by-step explanation:

hope it helps

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6.  ans is 5

7. 0 is the answer

8. Blue, pink, red, yellow, (or orange), purple, and green

Answer:

7.5e+14

Step-by-step explanation:

Used a calculator

Answer:

Step-by-step explanation:

Area of the quarter circle = 1/4 pi * r^2

Area of the quarter circle = 1/4 * 3.14 * r^2

Area of the triangle = 1/2 r * r = 1/2 r^2

Equation of Solution

1/4 3.14 * r^2 = 14 cm^2 + 1/2 * r^2                    Subtract 1/2 r^2 from both sides

0.785 r^2 - 0.5 r^2 = 14 cm^2                           Combine the left

0.285 r^2  = 14. cm^2                                        Divide by 0.285

r^2 = 14/0.285

r^2 = 49.1228                                                     Take the square root of both sides

sqrt(r^2) = sqrt(49.1228)

r = 7.01

4/20 = 1/5

9/24 = 3/8

18/30 = 3/5

9/12 = 3/4

9/21 = 3/7

5/45 = 1/9

20/25 = 4/5

10/12 = 5/6

6/9 = 2/3

4/40 = 1/10

Explanation:

Find the greatest common factor then divide the numerator and denominator by the greatest common factor

Hope This Helps :)

The linear equation for the situation mentioned can be written as T=a+mf, where "T" is the total cost of the the iPhone, "a" is then activation fee, "m" is the number of months of membership and "f" is the monthly membership fee. Hence T = 45 + 64m is our required equation.

As per the question statement, Alexa is looking at T-Mobile for getting an iPhone and the promotion states that they will charge her $45 for activation fee and $64 per month. We are supposed write a linear equation for the amount T-Mobile will charge Alexa.

Let the equation depicting the situation be T = a + mf, where

T = Total cost of the the iPhone

a = Activation fee

m= number of months of membership/installments

f = monthly fee amount for iPhone

If a = $45 and m=$64 then the equation becomes,  T = 45 + 64m

So, if she pays for 10 months straight, m = 10, total price T will be:

T = 45 + 64(10) = 45 + 640 = $685.00.

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Answer:

the plant grew \(5\frac{3}{8}\) inches

Step-by-step explanation:

to add these fractions, we need to convert 3/4 in order to have a common denominator

\(\frac{3}{4} = \frac{6}{8}\)

\(8\frac{1}{8} - 2\frac{6}{8} = 5\frac{3}{8}\)

the plant grew \(5\frac{3}{8}\) inches

first answer is (c)

second answer is (a)

Step-by-step explanation:

Simplify the expression

Answer: Fiona can buy six pairs.

15/2.5 = 6

Answer:

Fiona can buy 6 pairs

Step-by-step explanation:

2.50x 6

Answer:

GCF(330, 75, 450, 225) = 15

Steps:

Prime factorization of the numbers:

330 = 2 × 3 × 5 × 11

75 = 3 × 5 × 5

450 = 2 × 3 × 3 × 5 × 5

225 = 3 × 3 × 5 × 5

GCF(330, 75, 450, 225)

= 3 × 5

= 15

Recall that the function represented by the graph of the function h(x) reflected over the x-axis is:

Also, recall that the graph represented by the graph of the function h(x) translated n units up is:

Therefore, the function represented by the graph of

after a reflection over the x-axis followed by a translation of n units up is:

Using the commutative property of addition we get:

Answer: Second option.

Answer:

6 ft

Step-by-step explanation:

Given that:

Length of rectangular banner = 18 ft

Total trim of banner available = 48 ft

To find:

Possible widths of the banner = ?

Solution:

Maximum trim available of the banner around the entire border of the banner = 48 ft

i.e. we are given the total perimeter of the rectangular banner.

Formula for perimeter of a rectangle is given as:

\(Perimeter = 2 \times (Length + Width)\)

Putting the values of perimeter and length to find the value of width.

\(48 = 2 \times (18 + Width)\\\Rightarrow 48 =36+2 \times Width\\\Rightarrow 2 \times Width = 48-36\\\Rightarrow 2 \times Width = 12\\\Rightarrow \bold{Width = 6\ ft}\)

So, width possible is 6ft.

To calculate the number of ways to arrange the books on a shelf, we can use the formula for permutations.

The formula for permutations is  \(\frac{n!}{(n-r)!}\)  

where:  n is the total number of items

              r is the number of items being selected.

a. In this case, there are 8 books total (3 blue + 3 green + 2 red), and we are arranging all of them.

so n= 8 and r = 8, the number of arrangements is

\(\frac{8!}{(8-8)!}\) = 8! = 8 x 7 x 6 x 5 x 4 x 3 x 2 x 1 =  40320

So the answer to (a) is 40320.

b. To calculate the number of arrangements if the books of the same color are grouped, we can consider each group as one item.

There are 3 groups (blue, green, red), and we are arranging those

so n = 8 and r = 3.

Hence, the number of arrangements is

\(\frac{8!}{(8-3)!}\) = \(\frac{8!}{5!}\) = \(\frac{8x7x6x5x4x3x2x1}{5x4x3x2x1}\) = 336

So the answer to (b) is 336.

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The calculated measure of the angle CTZ is 38 degrees

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

This means that

YTA + BTC = 90

So, we have

4y + 6 + 7y - 4 = 90

So, we have

11y = 88

Divide

y = 8

Next, we have

CTZ = 90 - BTC

So, we have

CTZ = 90 - (7y – 4)

This gives

CTZ = 90 - (7 * 8 – 4)

Evaluate

CTZ = 38

Hence, the measure of CTZ is 38 degrees

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Answer:

x = 80

Step-by-step explanation:

Tangent Chord Angle  =1/2 Intercepted Arc

40 = 1/2 x

80 = x

Answer:

Step-by-step explanation:

1. 1.

2. That would be the GCF ( The Greatest Common Factor) of 15 and 25:

15 = 3 * 5

25 = 5 * 5

That is 5 liters.

3.  This is the GCF:

44 = 2 * 2* 11

121 = 11 * 11

The answer is 11.

4. Find the GCF:

25 = 5 * 5

35 = 5 * 7

Answer is 5 inches.

Answer:

15

Step-by-step explanation:

\(37 \frac{1}{2} \times \frac{2}{5} = \frac{75}{2} \times \frac{2}{5} = 15\)

The upper and lower 3-sigma control chart limits for this DNA sample data are UCL = 18.53 and LCL = 0

When we are given data on the DNA samples taken over the past 10 days, we can calculate the upper and lower 3-sigma control chart limits. The sample size is 100, and the defective number of DNA samples is given for each of the ten days.

The 3-sigma control limits for a process control chart can be calculated using the following formula: Upper control limit (UCL) = Mean + (3 × Standard Deviation) and Lower control limit (LCL) = Mean - (3 × Standard Deviation),where the mean is the average value of the data, and the standard deviation is the spread of the data around the mean.

Here, we need to calculate the mean and standard deviation of the defective samples for the past 10 days. The average number of defectives per day (mean) is (7+9+9+11+7+8+0+11+13+2) / 10 = 77 / 10 = 7.7

To calculate the standard deviation, firstly, calculate the variance: variance = sum of the squared differences from the mean divided by the number of samples = \([(7-7.7)^2 + (9-7.7)^2 + ... + (2-7.7)^2] / 10\)  ≈ 13.01 2.. Now, take the square root of the variance which gives standard deviation. So, standard deviation = \(\sqrt{13.01\\}\) ≈ 3.61

Using the 3-sigma rule UCL = Mean + (3 * Standard Deviation) = 7.7 + (3 * 3.61) ≈ 18.53    and   LCL = Mean - (3 * Standard Deviation) = 7.7 - (3 * 3.61) ≈ -3.13. However, since the LCL cannot be negative, we set it to 0 in this context. So, the upper and lower 3-sigma control chart limits are: UCL = 18.53 LCL = 0

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Answer:

LM

Step-by-step explanation:

Usually these problems would already be in order, so since PQ are the first 2 letters of polygon PQRS, then for LMNO, it's LM.

The expected loss due to default on the portfolio of 5 loans is 6,250, and the standard deviation of the expected loss is 556.25.

The expected loss due to default on the portfolio of 5 loans is given by the formula:

Expected Loss = Probability of Default x Expected Loss per Loan

Expected Loss = 0.25 x (25,000) = 6,250

The variance of the expected loss due to default on the portfolio of 5 loans is given by the formula:

Variance of Loss = Probability of Default x Variance of Loss per Loan

Variance of Loss = 0.25 x (5000)2 = 312,500

Therefore, the standard deviation of the expected loss due to default on the portfolio of 5 loans is given by the formula:

Standard  Deviation of Loss = √Variance of Loss

Standard Deviation of Loss = √312,500 = 556.25

The expected loss due to default on the portfolio of 5 loans is 6,250, and the standard deviation of the expected loss is 556.25.

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Answer: 49π inches²

Step-by-step explanation:

The formula for the circumference of a circle = 2πr

Since the circumference is 14π, we have to find the radius in order to solve the area.

2πr = 14π

r = 14π/2π

r = 7

Since area = πr²

= π × 7 × 7

= 49π inches²

The solution to the system of equations x + y = z, -x + z = -1, and -x - y + 2z = 0 is x = 1, y = 0, and z = -1.

To solve the system of equations, we can use the reduced row echelon form provided. The given reduced row echelon form implies that x = 1, z = 0, and y = 0, as indicated by the corresponding entries in the reduced row echelon form. Therefore, the solution to the system is x = 1, y = 0, and z = -1.

By substituting these values into the original equations, we can verify that they satisfy all three equations. For the equation x + y = z, we have 1 + 0 = -1, which is true. For the equation -x + z = -1, we have -1 + (-1) = -1, which is also true. Lastly, for the equation -x - y + 2z = 0, we have -1 - 0 + 2(-1) = 0, which is again true.

Hence, the values x = 1, y = 0, and z = -1 form the solution to the given system of equations.

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Answer:

the answer is

well $100 can also be known as 100% and 18% of 100% is 82%

so in decimal form is 0.82

Step-by-step explanation:

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