Can someone help me with this one plz?

The expected value of the treatment mean square for a completely randomized design experiment is given by E(MS Trt) = σ2 + m∑Ti2 / (L-1).

Let L be the number of treatments, and R be the number of replications per treatment.

According to the model, yij is the response from the jth replication of the ith treatment.

Therefore, the total number of observations is given by N = LR. Therefore, we assume the following linear model to estimate the treatment effects: yij=μ+Ti+Eij Where yij is the observed value for the jth replication in the ith treatment. μ represents the population mean.

Ti represents the effect of the ith treatment and is assumed to be a fixed effect. Eij is the error term for the jth replication of the ith treatment, and is assumed to follow a normal distribution with a mean of 0 and a variance of σ2.

We now turn to the analysis of variance for the CRD with L treatments and R replications per treatment.

The total sum of squares is given by: SST = ∑∑yij2 - (T..)2/N Where T.. is the total sum of observations.

It has (L-1)(R-1) degrees of freedom.

The total mean square is given by: MST = SST / (L-1)(R-1)

The treatment sum of squares is given by: SSTR = ∑n(T.)2/R - (T..)2/N Where T. is the sum of the observations in the ith treatment, and n is the number of observations in the ith treatment.

It has L-1 degrees of freedom. The treatment mean square is given by: MSTR = SSTR / (L-1)

The error sum of squares is given by: SSE = SST - SSTR It has (L-1)(R-1) degrees of freedom.

The error mean square is given by: MSE = SSE / (L-1)(R-1)

Therefore, E(MS Trt)=σ2+ m∑Ti2/t-1  since E(Ti)=0 for all i.

To show that E(MS Trt) = σ2 + m∑Ti2 / t-1

We start by using the definition of expected value E() to derive the expected value of the treatment mean square

(MS Trt): E(MS Trt) = E(SSTR / (L-1))

Next, we can express SSTR in terms of the Ti's as follows:

SSTR = ∑n(T.)2/R - (T..)2/N= 1/R ∑Ti2n - (T..)2/N

We can then substitute this expression into the expression for MS Trt:

MS Trt = SSTR / (L-1)

Substituting SSTR = 1/R ∑Ti2n - (T..)2/N, we get:

MS Trt = [1/R ∑Ti2n - (T..)2/N] / (L-1)

Simplifying the expression, we get:

MS Trt = [1/R ∑Ti2n] / (L-1) - [(T..)2/N] / (L-1)E(MS Trt)

= E([1/R ∑Ti2n] / (L-1)) - E([(T..)2/N] / (L-1))

Next, we can apply the linearity of expectation to the two terms:

E(MS Trt) = 1/(L-1) E[1/R ∑Ti2n] - 1/(L-1) E[(T..)2/N]

Simplifying the expression, we get:

E(MS Trt) = 1/(L-1) E(Ti2) - 1/(L-1) [(T..)2/N]

We note that E(Ti) = 0 for all i, since the treatments are assumed to have no effect on the population mean.

Therefore, we can simplify the expression further:

E(MS Trt) = E(Ti2) / (L-1) - [(T..)2/N] / (L-1)

Substituting the expression for Ti2 from the model, we get:

E(MS Trt) = σ2 + m∑Ti2 / (L-1)(R-1) - [(T..)2/N] / (L-1)

Simplifying the expression, we get:

E(MS Trt) = σ2 + m∑Ti2 / (L-1)

Since we have derived the expected value of MS Trt in terms of the Ti's, we can now use this result to derive E(MS Err). By definition, we have E(MS Err) = σ2.

Therefore, the expected value of the treatment mean square for a completely randomized design experiment is given by E(MS Trt) = σ2 + m∑Ti2 / (L-1). When Ti = 0 for all i, the treatments have no effect on the population mean, and hence all the observations will be independent and identically distributed with a common variance. Therefore, the experiment reduces to a randomized complete block design with one block, and the standard analysis of variance can be used to estimate the treatment effects.

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The required solution is ∠X'≅∠X, ∠Y'≅∠Y and  ∠Z'≅∠Z.

It is required to find the corresponding angles.

In Plane Geometry, a figure which is formed by two rays or lines that shares a common endpoint is called an angle and corner whether constituting a projecting part or a partially enclosed space.

Given :

Corresponding angles are

∠X'≅∠X,

∠Y'≅∠Y

∠Z'≅∠Z

Therefore, the required solution is ∠X'≅∠X, ∠Y'≅∠Y and  ∠Z'≅∠Z.

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If many random samples of this size were taken and intervals constructed, 90% of them would contain the true population mean. In repeated sampling, about 90% of the constructed confidence intervals will capture the true population mean difference. The correct answer is C.

When we construct a confidence interval, it is important to understand its interpretation. In this case, the correct answer (Oc) states that if we were to take many random samples of the same size and construct confidence intervals for each sample, approximately 90% of these intervals would contain the true population mean difference.

This interpretation is based on the concept of sampling variability. Due to random sampling, different samples from the same population will yield slightly different sample means.

The confidence interval accounts for this variability by providing a range of values within which we can reasonably expect the true population mean difference to fall a certain percentage of the time.

In the given scenario, when constructing a 90% confidence interval for the paired difference, it means that 90% of the intervals we construct from repeated samples will successfully capture the true population mean difference, while 10% of the intervals may not contain the true value.

It's important to note that this interpretation does not imply a probability or chance for an individual interval to capture the true population mean. Once the interval is constructed, it either does or does not contain the true value. The confidence level refers to the long-term behavior of the intervals when repeated sampling is considered.

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Answer:

Step-by-step explanation:

6,6 = 12.19

Answer:

(800 x 110) / 1000

x = Ali's money

2x = Harper's money

2x + x = $24

Combine like terms

3x = $24

Divide each side by 3

x = $8

Ali has $8

Harper has 2 * 8 = $16

The length of the model car based on the information is 0.8 feet.

It should be noted that scale simply shows the relationship between a measurement on a model as well as the corresponding measurement on the actual object.

From the information, the model car is constructed with a scale of 1:15.

When the actual car is 12 feet long, the length of the model will be illustrated as x. This will be:

= 1/15 = x / 12

Cross multiply

15x = 1 × 12

15x = 12

Divide

x = 12 / 15

x = 0.8

The length is 0.8 feet.

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The teacher states that four of these roots are correct, while one is incorrect. Out of the given roots, the incorrect root is -11.5.

We are given that Adam found five roots for the fifth-degree polynomial equation with rational coefficients: -11.5, √2, (2i + 6)/2, -√2, and 3-i. The teacher states that four of these roots are correct, while one is incorrect.

To determine the incorrect root, we can analyze the given options: -11.5, √2, (2i + 6)/2, and 3-i.

Among these options, the only one that is not a valid root is -11.5. This is because the problem specifies that the polynomial equation has rational coefficients, meaning that all the roots must also be rational or irrational numbers that can be expressed as the square root of a rational number.

Therefore, the incorrect root is -11.5 (option F).

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a) The mean of the sampling distribution is 0.139, and the standard deviation is 0.012.

b) The probability of getting a sample proportion of 12% or less is approximately 0.0564.

c) The interval (L, U) is (0.115, 0.163) with a 95% confidence level. This means that we are 95% confident that the true population proportion falls within this interval

a) The mean of the sampling distribution of the sample proportion of individuals of Hispanic origin is equal to the population proportion, which is 13.9% or 0.139. The standard deviation of the sampling distribution can be calculated as

σ = sqrt [ p × (1 - p) / n ]

= sqrt [ 0.139 × (1 - 0.139) / 1500 ]

≈ 0.012

Therefore, the mean of the sampling distribution is 0.139, and the standard deviation is 0.012.

b) To find the probability that such a sample will contain 12% or fewer individuals of Hispanic origin, we need to calculate the z-score for this value and use the standard normal distribution table. The z-score is

z = (0.12 - 0.139) / 0.012

≈ -1.583

Looking up this value in the standard normal distribution table, we find that the probability of getting a sample proportion of 12% or less is approximately 0.0564.

c) To find the interval (L, U) such that 95% of the sample proportions fall in the interval, we need to find the z-scores that correspond to the upper and lower 2.5% tails of the standard normal distribution. These z-scores are approximately ±1.96.

The margin of error for a 95% confidence interval can be calculated as

ME = z × σ

= 1.96 × 0.012

≈ 0.024

The lower and upper bounds of the interval can be found by subtracting and adding the margin of error to the population proportion

L = 0.139 - 0.024 = 0.115

U = 0.139 + 0.024 = 0.163

Therefore, the interval (L, U) is (0.115, 0.163) with a 95% confidence level.

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The given question is incomplete, the complete question is:

The 2010 census found that 13.9% of adults in the US identified themselves as of Hispanic origin. An opinion poll plans to interview 1500 adults at random, e.g., the sample size is 1500.

a) What are the mean and standard deviation of the sampling distribution of the sample proportion of individuals of Hispanic origin?

b) Find the probability that such a sample will contain 12% or fewer individuals of Hispanic origin.

c). What is the interval (L, U), such that the probability is only 2.5% of the sample proportions are greater than U; and the probability is only 2.5% of the sample proportions are lower than L? e.g., 95% of the sample

Answer:

Substitute x and y for their maximum values:

c = 5(-2) + 4(6)

c = -10 + 24

c = 14

Therefore, the answer would be 14

Step-by-step explanation:

Answer:

Yes

Step-by-step explanation:

Because they both have 90° angles forming a square

Answer:

Yes, because, both ten divided by eight and fifteen divided by twelve equals one and twenty-fifths.

Explanation:

10 / 8 = 1.25

15 / 12 = 1.25

<3 Enjoy,

    Dea

Poisson distribution models eruption frequency, not exact timing of eruptions. Other factors also influence eruption prediction.

What is volcanoes erupt ?

A volcanic eruption is when lava and gas are released from a volcano—sometimes explosively. The most dangerous type of eruption is called a 'glowing avalanche' which is when freshly erupted magma flows down the sides of a volcano.

In a volcanic eruption modeling context, the Poisson distribution can be used to estimate the average number of eruptions for a given volcano over a certain time period, but it does not account for the specific timing of each eruption. Other factors such as the volcano's structural characteristics, seismic activity, and gas emissions also play a role in determining when an eruption will occur.

Therefore , Poisson distribution models eruption frequency, not exact timing of eruptions. Other factors also influence eruption prediction.

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Answer:

v2=U2+2as

v2-U2=U2-U2+2as

v2-U2=2as

(v2-U2)/2a=2as/2a

v2-U2/2a=s

s=(v2-U2)/2a

Answer:

i  think

Step-by-step explanation:

a=  21

b=  70

c=  89

The equation of a line parallel to x - 4y = 36 is x - 4y = 16.

If the two lines are parallel then their slope must be equal. Two parallels lines have different intercepts but same slope. The slope intercept form of a line is y = mx + c. Where m is the slope and c is the intercept.

Now, writing the given equation in slope-intercept form,

x - 4y = 36

4y = x - 36

\(y=\frac{1}{4}x-9\)

By comparing it with slope-intercept form, we get

\(m=\frac{1}{4}\)

c = -9

Now, Finding the equation of line passing through (-4,-5) with slope as \(\frac{1}{4}\),

\(m=\frac{y-y_1}{x-x_1} \\\\\frac{1}{4}=\frac{y-(-5)}{x-(-4)}\\\\ \frac{1}{4}=\frac{y+5}{x+4}\\x+4=4y+20\\x-4y=16\)

The equation of parallel line is x - 4y = 16.

Hence, the equation of a line parallel to x - 4y = 36 is x - 4y = 16.

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Answer:

x=5/2

Step-by-step explanation:

The problem can be solved using the simplex method, and the solution can be verified using the graphical method. The optimal solution is X1 = 6, X2 = 0, X3 = 6, Z = 24.

The problem can be solved using the simplex method, and verified using the graphical method. Here are the steps:

Convert the problem to standard form by introducing slack variables:
Min Z = -2X1 - 4X2 - 3X3 + 0S1 + 0S2 + 0S3
St. X1 + 3X2 + 2X3 + S1 = 30
X1 + X2 + X3 + S2 = 24
3X1 + 5X2 + 3X3 + S3 = 60
Xi, Si >= 0

Set up the initial simplex tableau:
| 1 3 2 1 0 0 30 |
| 1 1 1 0 1 0 24 |
| 3 5 3 0 0 1 60 |
| 2 4 3 0 0 0 0 |

Identify the entering variable (most negative coefficient in the objective row): X2

Identify the leaving variable (smallest ratio of RHS to coefficient of entering variable): S1

Pivot around the intersection of the entering and leaving variables to create a new tableau:
| 0 2 1 1 -1 0 6 |
| 1 0 0 -1 2 0 18 |
| 0 0 0 5 -5 1 30 |
| 2 0 1 -2 4 0 36 |

Repeat steps 3-5 until there are no more negative coefficients in the objective row. The final tableau is:
| 0 0 0 7/5 -3/5 0 18 |
| 1 0 0 -1/5 2/5 0 6 |
| 0 0 1 1/5 -1/5 0 6 |
| 0 0 0 -2 4 0 24 |

The optimal solution is X1 = 6, X2 = 0, X3 = 6, Z = 24.

To verify the solution using the graphical method, plot the constraints on a graph and find the feasible region. The optimal solution will be at one of the corner points of the feasible region. By checking the values of the objective function at each corner point, we can verify that the optimal solution found using the simplex method is correct.

In conclusion, the problem can be solved using the simplex method, and the solution can be verified using the graphical method. The optimal solution is X1 = 6, X2 = 0, X3 = 6, Z = 24.

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A method to swap two array elements works correctly because it is designed to swap the entire elements at two different indexes in an array.

The method receives two integer values representing the indexes of the elements to be swapped and then proceeds to swap the elements themselves.
On the other hand, a method to swap two integer values does not work correctly because integers are passed by value, which means that the method receives a copy of the integer values rather than the original values themselves. Thus, the method only swaps the copies and not the original values, and as a result, the original values remain unchanged.
To overcome this issue, one can use a workaround such as passing the integer values as references instead of values. This way, the method receives a reference to the original value, and any changes made to the reference will affect the original value as well. However, this approach can be more complex and less efficient than simply swapping array elements.

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Answer:

\(\frac{14}{9}, \sqrt{7}, \sqrt{13}, \sqrt{40}, 4^3\)

Step-by-step explanation:

Given

\(4^3, \sqrt{40}, \sqrt{13}, \frac{14}{9}, \sqrt 7\)

Required

Order from least to greatest

First, we solve for each expression

\(4^3 = 64\)

\(\sqrt{40} = 6.32\)

\(\sqrt{13} = 3.61\)

\(\frac{14}{9} = 1.56\)

\(\sqrt{7} = 2.66\)

From least to greatest, we have:

\(1.56, 2.66. 3.61, 6.32, 64\)

Hence, the list is:

\(\frac{14}{9}, \sqrt{7}, \sqrt{13}, \sqrt{40}, 4^3\)

Based on the provided output, the conclusion that can be drawn is that the data provide sufficient evidence to reject the null hypothesis and conclude that the mean number of minutes exercised per week is lower for men than for women.

In hypothesis testing, the null hypothesis assumes that there is no difference between the mean number of minutes exercised per week for men and women. The alternative hypothesis, in this case, is that the mean number of minutes per week is lower for men.

The t-value of -1.9909 and the associated p-value of 0.02421 indicate that the test statistic falls in the critical region at the 5% significance level. Since the p-value is less than the significance level, we reject the null hypothesis. This means that there is sufficient evidence to support the alternative hypothesis that the mean number of minutes exercised per week is lower for men than for women.

Furthermore, the 95 percent confidence interval upper bound for the difference in means (-0.6750134) being negative supports the conclusion that the mean number of minutes exercised per week is lower for men.

Therefore, the correct conclusion is option a: The data provide sufficient evidence to reject the null hypothesis and to conclude that the mean number of minutes exercised per week is lower for men than for women.

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According to the given statement in a 2 x 3 factorial design, the first factor has 2 levels and the second factor has 3 levels.

This means that there are 2 different conditions or treatments being compared in the first factor, and 3 different conditions or treatments being compared in the second factor.

The "between subjects variables" indicates that each subject is only assigned to one level of each factor, so there are 8 subjects in each combination of the first and second factors.

A 2 x 3 factorial design with between subjects variables has 2 levels in the first factor and 3 levels in the second factor.

There are 8 subjects per cell, meaning 8 subjects in each combination of the first and second factors.

A factorial design is a research design that allows researchers to investigate the effects of multiple factors simultaneously.

In this case, the design is 2 x 3, which means there are 2 levels in the first factor and 3 levels in the second factor.

The term "between subjects variables" means that each subject is only exposed to one level of each factor.

This ensures that the effects of each factor can be isolated and compared.

In this design, there are 8 subjects per cell, which means that there are 8 subjects in each combination of the first and second factors.

The first factor in this 2 x 3 factorial design has 2 levels, the second factor has 3 levels, and there are 8 subjects per cell.

This design allows researchers to study the effects of multiple factors on a dependent variable, while controlling for potential confounding variables.

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Answer:

6 hours

Step-by-step explanation:

Ella takes 1 3/5 hours to complete a painting. Holly takes 3/4 of the time that Ella takes. How long will Holly take to complete 5 paintings?

Ella =1 3/5 hours = 8/5 hours

Holly = 3/4 of 8/5 hours

= 3/4 × 8/5

= (3*8)/(4*5)

= 24/20

= 6/5 hours

Number of hours : number of painting = 6/5 hours : 1 painting

How long will Holly take to complete 5 paintings

Let x = number of hours

Number of hours : number of painting = x hours : 5 painting

6/5 hours : 1 painting = x hours : 5 painting

6/5 ÷ 1 = x ÷ 5

6/5 × 1/1 = x / 5

6/5 = x / 5

Cross product

6 * 5 = 5 * x

30 = 5x

x = 30/5

x = 6 hours

It will take Holly 6 hours to complete 5 paintings

The number of marbles Ann had at the end is 54.

The percentage is calculated by dividing the required value by the total value and multiplying by 100.

Example:

Required percentage value = a

total value = b

Percentage = a/b x 100

Example:

50% = 50/100 = 1/2

25% = 25/100 = 1/4

20% = 20/100 = 1/5

10% = 10/100 = 1/10

We have,

Total marbles = 100

The number of marbles:

Marcy:

= 25% of 100

= 1/4 x 100

= 25

Roger:

= 21

Now,

The number of marbles:

Ann = 100 - (25 + 21) = 100 - 46 = 54

Thus,

Ann has 54 marbles at the end.

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Answer:

The answer is f(x)=6x-2

Step-by-step explanation:

I took the quiz so I know that the answer is right.

The correct answer is Option B. There'll be 70 kg/ha organic carbon would be saved annually by using reduced tillage.

Reduced tillage, also known as conservation tillage, is a practice that minimizes the disturbance of the soil and helps to maintain organic carbon in the soil. This practice can help to improve soil health, reduce erosion, and increase water retention.
One study found that reduced tillage can increase organic carbon levels in the soil by 70 kg/ha (kilograms per hectare) per year. This is equivalent to 70,000 g/ha (grams per hectare) per year. Therefore, the correct answer is option B. 70 kg/ha.
In conclusion, reduced tillage can help to increase organic carbon levels in the soil, leading to improved soil health and other benefits. The amount of organic carbon saved annually by using reduced tillage is 70 kg/ha.

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Answer:

yes verified

Step-by-step explanation:

2x-y+1=0

substitute

2(2)-5+1=(0?)

4-5+1=0

yes

Jenna and Mia arrived at the same answer because both the methods they have adopted are correct.

Given solution of a question done by two people.

Jenna's method

5(30+4)

(5)(30)+(5)(4)

150+20=170

Mia's method

5(30+4)

5(34)=170

We are required to find why they have achieved at the same answer.

Jenna and Mia have achieved at the same answer because they both have adopted the right method.Jenna's method is the equation in its simplest form. Addition of that is easily understood. While Mia's method is just valid as Jenna's some people may have trouble remembering the steps of multiplication within parantheses as well as being able to look at large multiplication problem and automatically knowing the answer or being able to get the answer as fast as simple addition.

Hence Jenna and Mia arrived at the same answer because both the methods they have adopted are correct.

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Answer:

Step-by-step explanation:

length =15 feet

width =10 feet

Answer:

Here is your answer, this is how you prove it

Since the rectangle's shorter side is half as long as its longer side, its top left vertex is (0,a).

A pair of numbers that use the horizontal and vertical separations from the two reference axes to define a point's location on a coordinate plane. typically expressed by the x-value and y-value pair (x,y). You do the reverse to determine a point's coordinates in a coordinate system. Start at the point, then move up or down a vertical line until you reach the x-axis. Your x-coordinate is shown there. To find the y-coordinate, repeat the previous step while adhering to a horizontal line.

Here,

Let x be the length and y be the width,

y=x/2

x=2a

y=a

The top left vertex=(0,a)

The top left vertex is (0,a) as shorter side of the rectangle is half the length of the longer side.

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